20. Mr. Lewinger has to choose 2 students to
lead the class field trip. If he draws from a
list of 6 boys and 6 girls, what is the
probability that the names of 2 girls will be
drawn?
A.5/24
B.5/22
C.1/7
D.5/6

The given value 4.1 x 10^-4 can be written in standard form as 0.00041

The standard form can be done by following the format of multiplying a *10^b where b is the power and a is the digit.

A number can be expressed in a fashion that adheres to specific standards by using its standard form. Standard form refers to any number that may be expressed as a decimal number between 1.0 and 10.0 when multiplied by a power of 10.

Hence 4.1 x 10^-4 = 0.00041

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Answer:

37.437

Step-by-step explanation:

Answer:

37.437

Hope it helps

Angle A is 27 degrees, angle B is 75 degrees then the angle C is 78 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let the triangle be ABC.

The angle A is 27 degrees.

The angle B is 75 degrees,

We need to find the angle of C

From Angle sum property the sum of three angles is 180 degrees.

∠A+∠B+∠C=180

27+75+∠C=180

102+∠C=180

∠C=78 degrees.

Hence, angle A is 27 degrees, angle B is 75 degrees then the angle C is 78 degrees.

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Complete Question below:

In Triangle ABC, angle A is 27 degrees, angle B is 75 degrees then the angle C?.

Answer: If a ball is chosen at random 80 times, with replacement, and there are an equal number of blue, green, pink, and red balls, then the probability of choosing a green ball each time is 1/4. Over many trials, the number of times a green ball is chosen would be roughly proportional to the probability of choosing a green ball, so we would expect the green ball to be chosen about 80 * (1/4) = 20 times.

However, since this is a random process, it is unlikely that the green ball will be chosen exactly 20 times. It is more likely that the actual number of green balls chosen will be slightly different, possibly higher or lower, than 20. So the answer is C: The color green would be chosen roughly 20 times, but probably not exactly 20 times.

Step-by-step explanation:

The formula used to calculate the surface area of a square pyramid is A = a^2 + 2a[tex]\sqrt{\frac{a^2}{4}+h^2 }[/tex]

The square pyramid is the geometric shape that has a square base and 4 lateral face. The total number of faces will be five. The base shape is square and the side shape will be triangle. Number of edges in the square pyramid is eight

The surface area is the amount space covered by the surface of the object

Here the surface area of the square pyramid is

A = a^2 + 2a[tex]\sqrt{\frac{a^2}{4}+h^2 }[/tex]

Where A is the surface area of the square pyramid

a is the base edge

h is the height of the square pyramid

Therefore, the surface area is A = a^2 + 2a[tex]\sqrt{\frac{a^2}{4}+h^2 }[/tex]

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Answer:

240/2, 360/3

Step-by-step explanation:

240/2 and 360/3 both involve division and both of their answers are equal to 120, assuming these count as number sentences.

Answer:

Diatance biked = rate • time

Answer:

2 × 3 × 3 × 5 = 2 × 3 × 3 × 5

Step-by-step explanation:

The prime factorization of 90 is 2 × 3 × 3 × 5, so the prime factors are 2, 3, 3, and 5. Ordering the factors from least to greatest, we have:

2 × 3 × 3 × 5 = 2 × 3 × 3 × 5.

Yes, it is possible for a system of linear equations with fewer equations than variables to have no solution. For example, consider the system of linear equations: x + y = 1, x + 2y = 3, x + 3y = 4.

The system of linear equations given is:

x + y = 1

x + 2y = 3

x + 3y = 4

This system has two variables (x and y) but only three equations. We can add and subtract the equations to see that the first two equations imply that y = 2, but the third equation implies that y = 1. This is a contradiction, so there is no solution to the system.

To solve this system, we can use techniques such as elimination or substitution. For example, we can subtract the first equation from the second equation to eliminate x, and get:

[tex]x + 2y - (x + y) = 3 - 1[/tex]

[tex]y = 2[/tex]

Similarly, we can subtract the first equation from the third equation to eliminate x, and get:

[tex]x + 3y - (x + y) = 4 - 1[/tex]

[tex]2y = 3[/tex]

[tex]y = 3/2[/tex]

However, we obtained two different values for y, which is a contradiction. As a result, the equation system cannot be solved. In other words, there is no pair of values of x and y that satisfy all three equations simultaneously.

Geometrically, this means that the system of equations represents three planes in three-dimensional space. However, these planes do not intersect at a common point, so there is no solution to the system.

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The area of the triangle PQR is 12 square units

From the question, we have the following parameters that can be used in our computation:

J(–2, 2), K(–2, 6), and L(–8, 2),

Reflection and rotation are rigid transformation

This means that

Area of PQR = Area of JKL

So, we have

Area = 1/2 * |x1y2 - x2y1 + x2y3 - x3y2 + x3y1 - x1y3|

So, we have

Area = 1/2 * |-2 * 6 + 2 * 2 + -2 * 2 + 8 * 6 - 8 * 2 + 2 * 2|

Evaluate

Area = 1/2 * |24|

So, we have

Area = 12

Hence, the area is 12 square units

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Amount of square feet of outdoor carpet needed for the hole is 6 feet².

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given is a triangular region with a hole in the shape of a rectangle.

We need to find the area of the hole in order to find the amount of square feet of outdoor carpet needed for the hole.

Area of a rectangle = Length × Width

From the figure,

Length = 3 feet and Width = 2 feet

Area = 3 × 2 = 6 feet²

Hence 6 feet² of outdoor carpet is needed for the hole.

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The number is 2. To find the unknown number that satisfies the equation "4x = 8x - 8," we can simplify and solve for x, which gives us the answer x = 2.

Let's call the unknown number "x".
According to the problem statement, "A certain number is multiplied by 4 and the result equals 8 less than 8 times of the number" can be translated into the following equation:
4x = 8x - 8
Simplifying this equation, we can move 4x to the right side of the equation:
4x - 8x = -8
Simplifying further, we get:
-4x = -8
Dividing both sides by -4, we find:
x = 2
Therefore, the number is 2.

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The solution is, Right answer: C) -7 is a solution.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

We have the equation 2x² +5x -63 = 0

First, let's find the coefficients a, b and c as ax² +bx +c = 0:

• a = 2

• b = 5,

• c = -63

Now, we will use the formula below to solve this equation:

x = -b ±√b²-4ac/2a

Let's replace the coefficients with the values that we already found:

putting the values we get,

x = -5±23/4

Now, let's divide it into two solutions, look:

x1 = 9/2

x2 = -7

Right answer: C) -7 is a solution.

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Answer:

Step-by-step explanation:

Let's say that after the break, the group of friends watches m minutes of the movie.

We know that they watched 42 minutes before the break, so the total time they have watched before and after the break is 42 + m minutes.

Since the movie is 115 minutes long, the inequality that represents the number of minutes they will watch after the break is:

42 + m < 115

So, the inequality that represents the number of minutes, m, they will watch after the break is:

m < 115 - 42 = 73

This means that m has to be less than 73 for the group of friends to finish watching the movie.

Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.

The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.

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Complete Question

sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?

The column for x = 5 should be used if the probability is 0.75 in the binomial distribution table.

The binomial distribution table is a table of values that shows the probability of getting a certain number of successes (x) in a certain number of trials (n). In this case, the probability is 0.75, so we need to look for the column that has a value of 0.75. We can see that this column corresponds to x = 5, so that is the column we should use.

The column for x = 5 should be used if the probability is 0.75 in the binomial distribution table.

the complete question is :

on the table for the binomial distribution, if you have a probability of 0.75, which vertical column for x do you use?

Table :

n x P(x)

5 0 0.23730

5 1 0.39615

5 2 0.26335

5 3 0.08789

5 4 0.01801

5 5 0.00152

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Answer: 19x+24

Step-by-step explanation: 12x−8+7x+3212−8+7+32 x12+24+7

Answer: 19x +24

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

6 is tenths and after is 1 which is hundredths

According to the above, we can infer that the value of FE is: 10 cm

To find the value of FE we must analyze the image of this triangle. Additionally, we must take into account the information we know, that is, the length of two sides (5 cm) and the height (4 cm), the area (20cm²).

So we must use the formula for the area of a triangle and isolate the values that we do know to find the value of the base.

According to the above, the value of segment FE is 10 cm.

Note: This question is incomplete. Here is the complete information:

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The minimum number of tables the store must sell is 5.

Two or more expressions with an Equal sign is called as Equation.

Using t and c as variables, we get

100c + 400t ≥ 3000

c+t≤16

The online furniture store must sell at least $3000 worth of chairs and tables each day, and can ship at most 16 pieces of furniture.

If the store sells 9 chairs for a total of $900, it needs to sell at least 5 tables to reach a total revenue of $3000.

Since the total number of pieces of furniture sold is 14 (9 chairs + 5 tables), which is less than the maximum of 16, the store meets the daily shipping requirement.

Therefore, the minimum number of tables the store must sell is 5.

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Answer:

Gordon will have $106892.8 in three years

Step-by-step explanation:

92338 (0.05 + 1)³=

92338(1.05)³=

92338 x 1.16 =

106892.8

Step-by-step explanation:

inversely means

y = k/x

therefore

30 = k/4

120 = k

y = 120/10 = 12

FYI :

directly would mean

y = kx

The value of y will be 12 when x is equal to 10.

The relationship between two variables known as "inverse variation" occurs when the value of one variable increases while the value of the other variable decreases.

Given that, y varies inversely with x.

Here, y∝1/x

y=k/x

xy=k

When x is 4, y is equal to 30, we get

k=4×30

k=120

When x=10, we get

10y=120

y=12

Therefore, the value of y will be 12 when x is equal to 10.

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To find the balance of the account at the end of the week, we need to calculate all the transactions:

Initial balance: $150

Shoes: -$180

Cash advance: +$300

Repaid debt: -$250

Bank fee: +$110

Cash deposit: -$150

So the final balance would be $150 - $180 + $300 - $250 + $110 - $150 = $-70.

This means the balance of the account at the end of the week would be -$70.

Keenan has placed his solar panel at an optimal angle.

The cosine law is a mathematical relationship between the sides and angles of a triangle. The cosine law states that:

cos(C) = (a² + b² - c²) / 2ab

where a, b, and c are the lengths of the sides of the triangle and C is the measure of one of the angles. This law can be used to find unknown side lengths or angle measures in a triangle when given the other values.

Check the attached image for labelling.

The angle we are trying to calculate is labelled C.

cos (C) = (20² + 18² - 19²) / (2*20*18)

cos (C) = 363/720

C = cos⁻¹(363/720)

C = 59.72°

Since the angle obtained is between 58° and 60°. Thus, Keenan has placed his solar panel at an optimal angle.

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Complete Question

Check the attached image for complete question

The population of McKinney after 2 years with an average growth rate of 8.4% will be approximately 210,099.76.

To calculate the population of McKinney after 2 years with an average growth rate of 8.4%, we can use the formula for compound interest:

[tex]P = P_0 * (1 + r/100)^t[/tex]

Where P0 is the initial population, r is the growth rate, and t is the number of years. In this case, P0 = 180,000, r = 8.4, and t = 2. Plugging these values into the formula, we get:

[tex]P = 180,000 * (1 + 8.4/100)^2[/tex]

[tex]P = 180,000 * 1.084^2[/tex]

[tex]P = 180,000 * 1.174996[/tex]

[tex]P = 210,099.76[/tex]

So, the population of McKinney after 2 years with an average growth rate of 8.4% will be approximately 210,099.76.

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The complete question is :

The population of McKinney is about 180,000. The population is increasing at an average rate of 8.4% . It's population after 2 years will be.

Answer:

(assuming the 2 was an exponent, if I am wrong don't use this answer) 6a^2 + 12b

Step-by-step explanation:

Add like terms

6a^2 + 12b

Answer:

Step-by-step explanation:

go up to the 85 on the grade track that over until you meet the dot.

that dot says it would be 3 hours

The explicit formula for the geometric series is [tex]a_n = 3(5)^{n-1}[/tex].

A geometric series is one in which there is a constant separating the two succeeding numbers. In other words, to create a geometric progression, each succeeding term is multiplied by the constant term.

Given that the geometric sequence is,

3, 15, 75......

The common ratio of the series is calculated as the ratio of the second term to the first term,

r = 15 / 3

r = 5

The explicit formula can be written as:-

[tex]a_n = a_1(r)^{n-1}[/tex]

[tex]a_n = 3(5)^{n-1}[/tex]

Therefore, the formula is [tex]a_n = 3(5)^{n-1}[/tex].

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The solutions to the system of linear equation (x, y) are 1 and 4/3 respectively

A system of linear equations is a collection of two or more linear equations with the same variables. The goal of solving a system of linear equations is to find the values of the variables that simultaneously satisfy all the equations in the system.

From the question given;

-x + 6y = 7 ...eq(i)

6x - 30y = -34 ...eq(ii)

From eq (i)

x = 6y - 7 ..eq (iii)

Put eq (iii) into eq (ii)

6(6y - 7) - 30y = -34

36y - 42 - 30y = -34

6y - 42 = -34

6y = -34 + 42

6y = 8

y = 4/3

Put y = 4/3 into eq (i)

-x + 6(4/3) = 7

-x + 24 / 3 = 7

x = 24/3 - 7

x = 1

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