Compare the investment below to an investment of the same principal at the same rate compounded annually.

​principal: ​$​8,000, annual​ interest: ​7%, interest​ periods: 4, number of​ years: 10

Please help

Answers

Answer 1
The answer would be 42 years in all

Related Questions

Which ratios are equivalent to 35
?

Answers

One example is 70:2. In the case of any non-zero number, this is a ratios of the form 35*k/k.

How would you define ratios?

An set of points of numbers “ a ” and  “ b", represented as a / b, is a ratio if b is not equal to 0. The proportion is an expression that sets two ratios at the same value. If there are two boys and five girls, for instance, you may express the ratio as 2:5.

Why is it known as a ratio?

We got the word "ratio" directly from the Latin word, which is also called "suitable ratio." The mathematics and English ratios were derived from the Latin ratio, which had multiple meanings, ranging from "cause" to "calculated" to "proportion."

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Hey circle has a diameter of 30 cm what is the circumference?


Use 3.14 for pie and do not round your answer be sure to include the correct unit in your answer 

Answers

Answer:

94.2cm

Step-by-step explanation:

Diameter 30cm

π = 3.14

Circumference of a circle is given by the formula:

C = 2πr

r = radius

Radius is equal to half of the diameter

30/2 = 15cm

Sub into equation:

C = 2(3.14)(15)

C = 94.2cm

in hypothesis testing, the alternative hypothesis is . a. the hypothesis tentatively assumed true in the hypothesis-testing procedure b. the hypothesis concluded to be true if the null hypothesis is rejected c. the maximum probability of a type i error d. the maximum probability of a type ii error

Answers

Answer:

taking your points

Step-by-step explanation:

A jar contains four marbles: three red ones and one white one

Answers

If one marble is drawn from a bag containing three red ones and one white one , then probability that it is a red one is 3/4 .

Total number of marbles in the jar is = 4 marbles ;

the number of red marbles in the jar is = 3 marbles ;

the number of white marbles in the jar is =  1 marble ;

The probability of drawing a red marble from the jar can be calculated as the number of red marbles divided by the total number of marbles in the jar:

⇒ P(red marble) = number of red marbles / total number of marbles

⇒ 3/4

⇒ 0.75

⇒ 75%

Therefore, the probability of drawing a red marble from the jar is 0.75 or 75%.

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The given question is incomplete , the complete question is

A jar contains four marbles: three red ones and one white ones , if one marble is drawn from the jar , find the probability that it is a red one ?

For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]A =1 2 11 1 1

Answers

AB = [1 0] is the 2x2 identity matrix so, AB=I.

        [0 1]

To find a 3x2 matrix B such that AB=I, we need to solve the equation:

A × B = I

where I is the 2x2 identity matrix. We can use the hint given to us to find the columns of B.

Let B1 and B2 be the columns of B. Then we have:

A × B1 = I1

A × B2 = I2

where I1 and I2 are the columns of the 2x2 identity matrix I.

We can solve for B1 and B2 by setting up and solving the following systems of linear equations:

For B1:

1 × B1[1] + 1 × B1[2] = 1

2 × B1[1] + 1 × B1[2] = 0

1 × B1[1] + 1 × B1[2] = 0

For B2:

1 × B2[1] + 1 × B2[2] = 0

2 × B2[1] + 1 × B2[2] = 1

1 × B2[1] + 1 × B2[2] = 0

Solving these systems of equations, we get:

B1 = [-1, 1]

B2 = [1, -1]

Therefore, the 3x2 matrix B that satisfies AB=I is:

B = [-1  1]

     [ 1 -1]

     [ 0  0]

We can verify that AB is indeed equal to the 2x2 identity matrix I:

A × B = [1 2 1] × [-1 1 0] = [(-1)+2  (1)+(-1)  0+0] = [1 0]

           [1 1 1]   [ 1 -1 0]   [ 1+1  (1)+(-1)  1+0]   [0 1]

Therefore, AB = I:

AB = [1 0]

        [0 1]

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The question is -

For the given matrix A find a 3x2 matrix B such that AB=I, where I is the 2x2 identity matrix. [Hint: If B1 and B2 are the columns of B, then ABj = Ij.]

A =  1 2 1

       1 1 1

r = 14 ft, 0= 39°; find s

Answers

The S = 37.2^0

Full answer:

Below has been attached a diagram with the meaning of this problem. So we have a right triangle whose Opposite side (s) measures 18.9 and whose Adjacent side (r) measures 24.9. So, these two sides are related in the following form:

[tex]tan(S)=\frac{\text{Opposite side}}{\text{Adjacent side}} =\frac{s}{r} \\\\tan(S)=\frac{18.9}{24.9} \\\\tan(S)=0.76\\\\S=arctan(0.76)\\\\S=37.23^o\\\\\text{Roundding off:}\\\\\boxed{S=37.2^o}[/tex]

Therefore, the S = 37.2^0

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a group of roommates equally shared the 6000$ in rent for an apartment. when four of the roomates moved out, those roomates remaining still shared the 6000$ rent equally, but each roomate's share of the rent increased by 250$. how many roomates were there orginally

Answers

The original number of roommates was 6, determined by comparing the original and new shares of rent per roommate and solving for the minimum number of roommates that satisfies the inequality.

Let's assume that there were 'x' original roommates in the apartment.

When the rent was shared equally among 'x' roommates, each roommate's share was:

[tex]6000/x[/tex]

After four roommates moved out, the remaining roommates continued to share the same rent of $6000 but each person's share increased by $250. So the new share per roommate is:

[tex](6000/x) + 250[/tex]

Since the number of roommates decreased by 4, the new number of roommates is:

[tex]x - 4[/tex]

We know that the new share per roommate is greater than the original share per roommate, so we can set up the following inequality:

[tex](6000/x) + 250 > 6000/x[/tex]

Simplifying the inequality, we get:

[tex]250 > 6000/x - 6000/x[/tex]

[tex]250 > 6000/x^2[/tex]

[tex]x^2 > 24[/tex]

[tex]x > 4.9[/tex]

Since the number of roommates must be a whole number, the minimum value for x is 6.

Therefore, there were originally 6 roommates in the apartment.

The solution involves setting up an inequality to compare the original share of the rent per roommate with the new share of the rent per roommate, and then solving for the minimum number of original roommates that satisfies the inequality.

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A gauge on Sam's car indicates that he has 18. Mia likes to practice her multiplication facts. 178.8 miles left Until his gds tank is empty. ff she con correctly answer one problem If he drives 6Q.25 miles to his visit his mother, every 0.048 minutes, how many problems then 83.9 miles to visit his friend, how many can she correctly answer in 3 minutes? miles does he have left to empty?



its 2 questions figer them both out

Answers

If Sam drives 6.25 miles to visit his mother every 0.048 minutes, and then drives 83.9 miles to visit his friend, he will have 8.45 miles left in his gas tank when he reaches his destination. If Mia correctly answers one problem every 0.048 minutes, she can correctly answer 62.5 problems in 3 minutes.
A. If Sam drives 60.25 miles to visit his mother and 83.9 miles to visit his friend, the total distance he will drive is 60.25 + 83.9 = 144.15 miles.

To find out how many miles he has left until his gas tank is empty, we subtract the total distance he will drive from the amount of gas left in his tank:

178.8 - 144.15 = 34.65 miles

So Sam will have 34.65 miles left until his gas tank is empty.

B. To find out how many problems Mia can correctly answer in 3 minutes, we first need to find out how many problems she can correctly answer in 1 minute. Let's call this "p".

We know that she correctly answers one problem for every 0.048 minutes, so in 1 minute, she can answer 1 / 0.048 = 20.83 problems.

To find out how many problems she can correctly answer in 3 minutes, we simply multiply the number of problems she can answer in 1 minute by 3:

3 * 20.83 = 62.5 problems

So Mia can correctly answer 62.5 problems in 3 minutes.

Please help me I’m stuck:)

Answers

Answer:

(a) (0,0)

Step-by-step explanation:
Solving with Elimination method-

Take the first equation-    3x - 2y = 6

Multiply both sides by 2
2(3x - 2y) = 2*6
6x - 4y = 12

Subtract Both the equations-

  6x - 4y = 12
- 6x - 4y = 12
=          0 = 0


The answer is (0,0)

Sam has two six-sided dice. If she rolled the dice, what is the probability that she will roll of sum of 7?

Answers

According to the above statement, she has a 1/6 chance of rolling a 7 on the dice.

What is the simple definition of probability?

A possibility is a ratio that expresses the possibility or likely that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

When using two six-sided dice, there are 36 possibilities that might occur.

By using two dice, there are six ways to arrive to the sum of 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), & (6, 1).

The likelihood of rolling a 7 is thus 6/36 = 1/6.

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A computer and printer cost a total of $954. The cost of the computer is two times the cost of the printer. Find the cost of each item.

Answers

The cost of the printer is $309 and the cost of the computer is $618

how many pattern block trapezoids would create 5 hexagons

Answers

The correct answer is "It takes 15 pattern block trapezoids to create 5 hexagons."

Pattern block trapezoids are a type of geometric shape commonly used in math education. They are one of several shapes that can be used to create tessellations, or repeating patterns, on a flat surface. Pattern block trapezoids come in different sizes and are made of different colored plastic or foam, with each color representing a different size and shape. In addition to their use in creating tessellations, pattern block trapezoids are often used to teach geometry concepts such as area, perimeter, and angles. They can also be used to help students develop spatial reasoning skills and problem-solving abilities. The most common set of pattern blocks includes six shapes: the trapezoid, hexagon, square, parallelogram, rhombus, and triangle. These shapes can be combined in a variety of ways to create different patterns and designs, making them a versatile and useful tool for math education.

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does -6(x+1)+8x=2(x-3) have no solution one solution or all real numbers are solutions and if theres only one solution was does x=

Answers

The equation -6(x+1)+8x=2(x-3) has all real numbers as solutions, meaning that any value of x will make the equation true. The equation does not have a single unique solution for x.

What is the equation in one variable?

An equation in one variable is a mathematical expression that contains a single variable, typically represented by x. The goal of solving an equation in one variable is to determine the value of the variable that makes the equation true.

To solve the equation -6(x+1)+8x=2(x-3), we can simplify the left-hand and right-hand sides of the equation and then solve for x. Here are the steps:

Distribute the -6 and 2 to the terms inside the parentheses: -6x - 6 + 8x = 2x - 6

Combine like terms on each side of the equation: 2x - 6 = 2x - 6

Subtract 2x from both sides of the equation: -6 = -6

At this point, we have a true statement (-6 = -6), but there is no variable present. This means that the equation has infinitely many solutions, and every real number is a solution to the equation.

Hence, the equation -6(x+1)+8x=2(x-3) has all real numbers as solutions, meaning that any value of x will make the equation true. The equation does not have a single unique solution for x.

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Order the values from least to greatest. |2.7|, 0, 1.3, |-1|, 2

Answers

0 |-1| , 1.3 , 2, |2.7|

Step-by-step explanation:

it's right because |-1| is an absolute value and the absolute value is 1

Answer:

0,  |- 1| , 1.3,  2,  |2.7|

Step-by-step explanation:

The absolute value of any number, x,  denoted by |x| is the positive of that number

So | 2.7 | = 2.7

| - 1 | =  1

Therefore the order of the absolute values is
0,  1, 1.3, 2, 2.7 which is the same as 0,  |- 1| , 1.3,  2,  |2.7|

Explain how a formula can help solve problems.

Answers

Answer:

A formula can help solve problems as it gives the person a step-by-step mini key or guide when needing to actually answer a mathematical or scientific equation or question.

A right triangle has legs measuring 18 in. and 26 in. what is the length of the hypotenuse? round to the nearest tenth. responses 18.8 in. 18.8 in. 31.6 in. 31.6 in. 44.0 in. 44.0 in. 100.0 in.

Answers

The hypotenuse of the right triangle with legs measuring 18 in and 26 in is 31.6 in, rounded to the nearest tenth. This is calculated by using the Pythagorean Theorem, which states that a2 + b2 = c2 and plugging in the values for a and b.

The hypotenuse of a right triangle is the longest side of the triangle and is always opposite of the right angle. To calculate the length of the hypotenuse, you need to use the Pythagorean Theorem. The theorem states that a2 + b2 = c2, where a and b are the legs of the triangle and c is the hypotenuse. In this case, a is 18 inches and b is 26 inches, so the equation would be 182 + 262 = c2. Plugging in the values, we get 324 + 676 = c2, which simplifies to 1000 = c2. To find the length of the hypotenuse, we need to take the square root of 1000, which is 31.6 inches. Rounded to the nearest tenth, the hypotenuse of the right triangle with legs measuring 18 in and 26 in is 31.6 in.

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What is m∠B?

There is a seven sided polygon ABCDEFG in which the measure of angle BCD is 148 degrees, the measure of angle DEF is 142 degrees, the measure of angle EFG is 130 degrees, the measure of angle FGA is 129 degrees, and the measure of angle GAB is 120 degrees. Angle CDE is a right angle.

Answers

For the polygon ABCDEFG, the measurement of ∠B is option D: 141°.

What is a polygon?

In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words poly (which meaning numerous) and gon (means sides).

The polygon ABCDEFG has angle measurements as -

Measurement of ∠BCD = 148°

Measurement of ∠DEF = 142°

Measurement of ∠EFG = 130°

Measurement of ∠FGA = 129°

Measurement of ∠GAB = 120°

Measurement of ∠CDE = 90°

Let the measurement of ∠ABC be x° .

In a heptagon (or polygon having seven sides) the sum of all angles is 900°.

So, for polygon ABCDEFG the equation will be -

∠BCD + ∠CDE + ∠DEF + ∠EFG + ∠FGA + ∠GAB + ∠ABC = 900°

Substitute the values in the equation -

148° + 90° + 142° + 130° + 129° + 120° + x = 900°

148° + 90° + 142° + 130° + 129° + 120° + x = 900°

759° + x = 900°

x = 900° - 759°

x = 141°

Therefore, the value of x is obtained as 141°.

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Suppose a magazine ranks the best paying college degrees in a country. The following data show the median starting salary, the mid-career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid-career salary. Degree starting salary mid-career salary : Degree Starting Salary Mid-Career Salary % Increase

College Degree A 59,400 105,000 77

College Degree B 56,400 101,000 79

College Degree C 54,800 101,000 84

College Degree D 64,800 105,000 62

College Degree E 53,500 93,400 75

College Degree F 61,200 87,700 43

College Degree G 56,200 97,700 74

College Degree H 50,400 87,000 73

College Degree I 48,800 97,800 100

College Degree J 60,800 105,000 73

College Degree K 47,500 91,500 93

College Degree L 41,500 88,300 113

College Degree M 49,300 87,100 77

College Degree N 50,900 90,300 77

College Degree O 46,400 88,300 90

College Degree P 63,900 105,000 64

College Degree Q 93,000 159,000 71

College Degree R 50,700 99,600 96

College Degree S 56,700 91,300 61

College Degree T 50,000 93,400 87

(a) using a class width of 10, construct a histogram for the percentage increase in the starting salary. A histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % increase. The vertical axis is labeled: frequency. Centered over the leftmost label, 40-49. 9, a bar is drawn 1 unit tall. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59. 9: 1 unit tall 60-69. 9: 3 units tall 70-79. 9: 3 units tall 80-89. 9: 7 units tall 90-99. 9: 4 units tall 100-109. 9: no bar 110-119. 9: 1 unit tall a histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % increase. The vertical axis is labeled: frequency. Centered over the leftmost label, 40-49. 9, a bar is drawn 7 units tall. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59. 9: 4 units tall 60-69. 9: no bar 70-79. 9: 1 unit tall 80-89. 9: 1 unit tall 90-99. 9: 1 unit tall 100-109. 9: 3 units tall 110-119. 9: 3 units tall a histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % increase. The vertical axis is labeled: frequency. There is no bar centered over the leftmost label, 40-49. 9. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59. 9: 1 unit tall 60-69. 9: 4 units tall 70-79. 9: 3 units tall 80-89. 9: 7 units tall 90-99. 9: 3 units tall 100-109. 9: 1 unit tall 110-119. 9: 1 unit tall a histogram with 8 class labels along the horizontal axis is given. The horizontal axis is labeled: % increase. The vertical axis is labeled: frequency. Centered over the leftmost label, 40-49. 9, a bar is drawn 1 unit tall. Moving to the right, information about the remaining bars (beginning with class label) is listed. 50-59. 9: no bar 60-69. 9: 4 units tall 70-79. 9: 7 units tall 80-89. 9: 3 units tall 90-99. 9: 3 units tall 100-109. 9: 1 unit tall 110-119. 9: 1 unit tall (b) comment on the shape of the distribution. The histogram is ---select---. (c) develop a stem-and-leaf display for the percentage increase in the starting salary. (enter numbers from smallest to largest separated by spaces. Enter none for stems with no values. ) Leaf Unit = 1

4 5 6 7 8 9 10 11

Answers

The histogram of the magazine ranks the best paying college degrees in a country is illustrated below.

A histogram is a graphical representation of data that displays the frequency distribution of a set of continuous or discrete data

To construct a histogram, we would first need to determine the range of the data. In this case, the range would be the difference between the highest and lowest starting salaries or mid-career salaries. We would then divide the range into several intervals or "bins" of equal width.

For example, if we use a bin width of $10,000, the first bin would be $40,000-$49,999, the second bin would be $50,000-$59,999, and so on.

We would then count the number of degrees that fall into each bin and plot the counts as bars on a graph, with the bin ranges on the x-axis and the frequency counts on the y-axis. The resulting graph would be a histogram, showing the distribution of the data.

It is important to label the axes of the histogram and include a title that accurately reflects the data being presented.

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Complete Question:

Suppose a magazine ranks the best paying college degrees in a country. The following data show the median starting salary, the mid- career salary, and the percentage increase from starting salary to mid-career salary for the 20 college degrees with the highest mid- career salary.

Degree                     Starting Salary | Mid-Career Salary | % Increase

College Degree A      59,400                     104,000                       75 College Degree B     56,400                      101,000                        79 College Degree C     54,800                      101,000                        84             College Degree D     64,800                      104,000                        60    College Degree E      53,500                       93,400                        75           College Degree F       61,200                       87,700                        43              College Degree G       56,200                      97,700                        74            College Degree H       50,400                      87,000                        73            College Degree I         48,800                     97,800                       100                                College Degree J         60,800                     107,000                      76 College Degree K       47,500                      91,500                              

Frequency 40-49.9

Using a class width of 10, construct a histogram for the percentage increase in the starting salary.

Determine the occupant load of a one room daycare that is 20' by 30' !

Answers

The occupant load of a one room daycare that is 20' by 30' is 17 people.

The occupant load of the daycare room can be determined by using the formula:

Occupant load = Area of room / Occupant load factor

From the case, we know that the area of the room is 20' x 30', then:

Room area = 600 square feet.

The occupant load factor for a daycare is typically 35 square feet per person. This means that each person in the daycare should have at least 35 square feet of space.

Using the formula, the occupant load of the one room daycare is:

Occupant load = 600 square feet / 35 square feet per person = 17.14 people

Therefore, the occupant load of the one room daycare is 17 people. This means that the daycare can safely accommodate 17 people at one time.

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HELP PLEASE!!!

Solve for the y-intercept given a slope of -2 and a point of (3,-2)

Answers

After solving for the line with slope as -2 and point (3,-2) , the y intercept is  (0,4)  .

We use the Point Slope form of a linear equation to write the equation of a line given its slope and a point on the line.

So , the point slope form is ⇒ y - y₁ = m(x - x₁)  ;

Where m = slope , and (x₁, y₁) = point on line .

So , by using the slope (m = -2) and point (x₁, y₁) = (3, -2),

Substituting  these values and simplifying further ,

We get ; ⇒ y -(-2) = (-2)×(x - 3)  ;

⇒ y + 2 = (-2)×(x) + (-2)×(-3) ;

Subtracting 2 from both sides,

we have ;

⇒ y = -2x + 4

The y intercept of line is value of "y" when x = 0.

So , we substitute x = 0 in the equation of line y = -2x + 4  ;

that means ⇒  y = -2(0) + 4 ;

⇒  y = 4 .

Therefore, the y intercept of the line with slope "-2" and passing through the point (3, -2) is (0, 4).

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Pablo paid $28.00 for a shirt. This was the markdown price after a $16.00
discount. Which equation can Pablo use to find p, the regular price of the shirt?

Answers

Answer:

Step-by-step explanation:

The original price of the hat is $35. Paolo paid $28 for the hat.

So discount for the hat is $(35-28) = $7

$7 is discounted from $35. We have to find the percentage of the discount.

To find the percentage we have to divide the discount amount by the original price and then have to multiply it by 100.

So the discount percentage =

((7/35)×100) %

We can simplify 7/35 by dividing 7 and 35 both by 7. So we will get 1/5 after simplifying.

((1/5) ×100) %

(100/5)% = 20%

So the hat was discounted by 20%.

What is the circumference of a circle with a diameter of 11 inches? (use 22/7 for pi)

Answers

The circumference of a circle with a diameter of 11 inches using  π as 22/7 is 34.86 inches.

To find the circumference of a circle, we can use the formula:

C = πd

where C is the circumference, π is a mathematical constant (approximately 22/7), and d is the diameter of the circle.

The diameter of a circle is a straight line that passes through the center of the circle and touches two points on the edge of the circle. In this problem, we are given that the diameter of the circle is 11 inches.

To find the circumference, we can substitute this value for d in the formula:

C = πd = π(11 inches)

We can simplify this by using the approximation π ≈ 3.14 (or more precisely, π ≈ 22/7), to get:

C ≈ (3.14)(11 inches) = 34.54 inches

or

C ≈ (22/7)(11 inches) = 34.86 inches

So the circumference of the circle is approximately 34.54 inches or 34.86 inches, depending on which approximation of π is used.

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6
Find b.
5 m
4 m
M
b
10 m

Answers

The value of b is given as follows:

b = 12.5 m.

How to obtain the value of b?

The value of b is obtained applying the proportions in the context of the problem.

The rule of three is given as follows:

5 m - b m.

4 m - 10 m.

Applying cross multiplication, the value of b is obtained as follows:

4b = 50

b = 50/4

b = 12.5 m.

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The rainforest has about 19,000 known species of insects. However, due to deforestation, some
species are becoming extinct. This can be modeled with an exponential function with growth
constant k = -0.05. How many species will be left in......
5 years?
10 years?
100 years?

Answers

Answer:

The main cause of deforestation is agriculture (poorly planned infrastructure is emerging as a big threat too) and the main cause of forest degradation is illegal logging. In 2019, the tropics lost close to 30 soccer fields' worth of trees every single minute

in a sample of 20 men, the mean height was 178 cm. in a sample of 30 women, the mean height was 164 cm. what was the mean height for b oth groups put together?

Answers

In a sample of 20 men, the mean height was 178 cm and a sample of 30 women, the mean height was 164 cm, then the mean height for both groups combined is approximately 172.4 cm.

To find the mean height for both groups combined, we need to calculate the weighted average of the means of each group, where the weight of each group is proportional to its sample size.

We can begin by finding the total height of all the individuals in both groups combined. The total height for the men's group would be 20 multiplied by the mean height of 178 cm, which is 3560 cm.

Similarly, the total height for the women's group would be 30 multiplied by the mean height of 164 cm, which is 4920 cm. Adding these two values gives a total height of 8480 cm for both groups combined.

Next, we need to find the total sample size, which is the sum of the sample sizes of the two groups. The total sample size is 20 + 30 = 50.

Finally, we can calculate the weighted average of the means of each group using the formula:

Weighted average = (weight of group 1 * mean of group 1 + weight of group 2 * mean of group 2) / (weight of group 1 + weight of group 2)

In this case, the weights of each group are proportional to their sample sizes. Therefore, the weighted average can be calculated as:

Weighted average = (20/50 * 178 cm) + (30/50 * 164 cm) = 172.4 cm

In summary, to find the mean height for both groups combined, we need to calculate the weighted average of the means of each group, where the weight of each group is proportional to its sample size. This is done by multiplying the sample size of each group by its mean height, adding the values, and then dividing by the total sample size.

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suppose that a particular nba player makes of his free throws. assume that late in a basketball game, this player is fouled and is awarded two free throws.
a. What is the probability that he will make both free throws? (to decimals) b. What is the probability that he will make at least one free throw? (to decimals) c. What is the probability that he will miss both free throws? (to decimals) d. Late in basketball game; team often intentionally fouls an opposing player in order to stop the game clock: The usual strategy is t0 intentionally foul the other team's worst free-throw shooter: Assume the team' worst free throw shooter makes 58% of his free throws Calculate the probabilities for this player as shown in parts (2), (b), and (c) and show that intentionally fouling this player who makes 58% of his free throws is better strategy than intentionally fouling the player who makes 89% of his free throws. Assume as in parts (a), (b), and (c) that two free throws will be awarded.
1. What is the probability that this player will make both throws? (to 4 decimals) 2. What is the probability that will make at least one tlrow? (to decimals) 3. What is the probability that thils player wIll mlss bolhi Urows? (to decimals)

Answers

Step-by-step explanation:

suppose you brought 45 shares of telecommunications company 4 years ago at a price of $63.00 per share. you just sold it for $71.50 per share. how much did you make

What is the answer of Thomas made 8,700 mL8,700 mL8, comma, 700, start text, space, m, L, end text of tomato soup. He packed 1.6 L1.6 L1, point, 6, start text, space, L, and end text of the soup in his kids' lunches. He then froze half of the remaining soup.
How many milliliters of soup did Thomas freeze?..... ml

Answers

Thomas packed 1.6 L1.6 L1, point, 6, start text, space, L, and end text of the soup in his kids' lunches and  had firmed 7100 ml of haze.

What's meant by equation?

A fine statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x- 5 = 16, for case. When this equation is answered, we discover that the value of the variable x is 7. The description of an equation in algebra is a fine statement that demonstrates the equivalency of two fine expressions. For case, the two equations 3x 5 and 14, which are separated by the' equal' sign, make up the equation 3x 5 = 14. An equation is a fine expression with two equal sides and an equal sign. 4 6 = 10 is an illustration of an equation.

Given that;

He made 8700 ml haze and he packed1.6 liter haze.

1 liter = 1000 milliliters

liter = 1.6 × 1000

litre = 1600 ml

Chancing the firmed haze-

8700 ml- 1600 ml

7100 ml.

Hence

Frozen haze = 7100 milliliters.

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Wendy walked 2 miles in 30 minutes. At this rate, how many miles could Wendy walk in 90 minutes?

Answers

She could walk 6 miles in 90 minutes assuming she walks 1 mile every 15 minutes

Solve the right triangle table

Answers

The measure of the angle m∠B is equal to 41°. Using the sine rule the lengths of a and b are 9.6 and 8.3 respectively.

What is the sine rule

The sine rule is a relationship between the size of an angle in a triangle and the opposing side.

We shall first evaluate for the angle m∠B as follows:

m∠A + m∠B + m∠C = 180° {sum of interior angles of a triangle}

49° + B + 90° = 180°

B + 139° = 180°

B = 180° - 139° {subtract 139° from both sides}

m∠B = 41°

12.7/sin90° = a/sin41

a = (12.7 × sin49)/sin90° {cross multiplication}

a = 9.5848

12.7/sin90° = b/sin49

b = (12.7 × sin49)/sin90 {cross multiplication}

b = 8.3319

Therefore, the measure of the angle m∠B is equal to 41°. Using the sine rule the lengths of a and b are 9.6 and 8.3 respectively.

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1. A worm moves down a path that is 1,3 m long. The worm starts moving at 9h12 and reaches the end of the path at 9h24. How fast is the worm travelling?​

Answers

The worm is travelling at a speed of 0.0018 meter per second.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Total distance travelled by the worm = 1.3 m

The worm starts moving at 9 hour 12 minutes and reaches the end of the path at 9 hour 24 minutes.

Total time taken = 24 - 12 = 12 minutes

Speed = Distance / Time

Speed = 1.3 / 12

           = 0.1083 meter / minute

           = 0.0018 meter per second

Hence speed of the worm is 0.0018 meter per second.

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