for women aged 18-24 systolic blood pressured are normally distributed with a mean of 114.8 and a standard deviation of 13.1 if 23 women aged 18-24 are randomly selected find the probability that their mean

Answers

Answer 1

The probability that the mean systolic blood pressure of 23 women is between 119 and 122 mm Hg is 0.0579.

The Central Limit Theorem states that the distribution of the mean of a large sample (n>30) taken from a population with a finite mean and standard deviation will be approximately normal.

Since we are given that systolic blood pressures are normally distributed and we have n = 23>30, we can assume that the mean systolic blood pressure of 23 women will be approximately normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1/[tex]\sqrt{23}[/tex] = 2.731 mm Hg.

To find the probability that the mean systolic blood pressure of 23 women is between 119 and 122 mm Hg, we can standardize the problem and use the standard normal distribution table.

We can standardize the problem by finding the number of standard deviations away from the mean of the lower and upper bounds of the range.

z_lower = (119 - 114.8) / 2.731) = 1.537

z_upper = (122 - 114.8) / 2.731) = 2.636

Now we can use the standard normal distribution table to find the probability that a standard normal variable is between z_lower and z_upper.

P(z_lower < Z < z_upper) = P(Z ≤ 2.636) - P(Z < 1.537) = 0.9958 - 0.9379 = 0.0579

Therefore, the probability that the mean systolic blood pressure of 23 women is between 119 and 122 mm Hg is 0.0579.

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The complete question is -

For women aged​ 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. If 23 women aged​ 18-24 are randomly​ selected, find the probability that their mean systolic blood pressure is between 119 and 122 mm Hg. Round to four decimal places.


Related Questions

sarahs aunt gave her 5$ for her birthday sarahs grandma gave her ten times as much as her aunt. sarah's uncle gave her $18. how much money did sarah receive for her birthday.

Answers

Therefore , as a result the unitary method answer to the given problem is to determine the total or difference: 73.

What does unitary method mean?

The unitary technique is a way of problem-solving where you first calculate the amount of a single component, then multiple that value to get the answer. Simply put, a single system value is extracted from a sourced multiple using the unit method. For illustration, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal are equivalent. 

Here,

Given :

Devise 18 + 5 + 5 * 10 based on the given conditions. Do the math: 18 + 5 + 50 to get the product or quotient.

Determine the difference or total: 23 + 50\s=> Determine the difference or total: 73

The answer is: 73.

As a result, the unitary method's answer to the given problem is to determine the total or difference: 73.

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if justin randomly chooses his ride in the morning and in the evening, what is the probability that he'll use both the bus and the train?

Answers

The probability that he'll use both the bus and the train is 0.2222

What is probability and example?

Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .

There are just two ways in which Justin use both the bus and the train on the same day:

1. He used bus in the morning and train in the evening

2. He used train in the morning and bus in the evening

Additionally, every day he has 9 possible ways to used the transportation, 3 in the morning multiply by 3 in the evening. This is:

       3         *         3           =  9

p= 0.222

So, the probability is calculate as a division between the possible ways in which he use both transportations and the total possible ways. This is:

p=0.222

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A cell phone plan cost $27.70 per month for 500 minutes of talk time. It cost an additional $0.08 per minute for each minute over 500 minutes. To get email access, it cost 30% of the price for 500 minutes of talk time. Your bill, which includes email, is the same each month for 9 months. The total cost for all 9 months is $367.29. Write and solve an equation to find the number of minutes of talk time you use each month.

Answers

Answer:

567 minutes each month.

Step-by-step explanation:

Let x be the number of minutes of talk time used each month.

The cost for talk time beyond 500 minutes is $0.08 * (x - 500)

The cost for email is $27.70 * 0.3 = $8.31

The total monthly cost is $27.70 + $0.08 * (x - 500) + $8.31 = $35.99

The total cost for 9 months is $35.99 * 9 = $323.91

So we can set up the equation:

$27.70 + $0.08 * (x - 500) + $8.31 * 9 = $367.29

Solving for x, we get:

x = 567

So the number of minutes of talk time used each month is 567 minutes.

An equilateral triangle and an isosceles triangle share a common side. What is the measure of ∠ ​ABC?

Answers

The measure of ∠ ​ABC is 112°

How determine the measure of ∠ ​ABC?

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a shape with its angles.

Triangle BCD is an equilateral triangle. So all the angles are equal, that is 60° each.

∠ ​ADB = 64° (base angle of an isosceles triangle are equal)

∠ ​ABD = 180° - 64° - 64° (sum of angles in a triangle is 180°)

∠ ​ABD = 52°

∠ ​ABC = ∠ ​ABD + ∠ ​CBD

∠ ​ABC = 52° + 60°

∠ ​ABC = 112°

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a rectangle has its base on the x acis and its upper two vetivies on th eporabloa 16-x^2what is the maximum area the rectangle can have

Answers

The maximum area the rectangle can have, is 2.31 square unit.

In the given question, a rectangle has its base on the x axis and its upper two vertices on the parabola 16 - [tex]x^2[/tex].

We have to find the maximum area the rectangle can have.

Let Length is x and width is y.

So, Area of Rectangle = length × breadth

Area of Rectangle = xy

Since, base is on the x - axis, therefore, length will be 2x.

Now, Area of Rectangle = 2xy

The given parabola y = 16 - [tex]x^2[/tex]

Area of Rectangle = 2x(16 - [tex]x^2[/tex])

Area of Rectangle = 32x - 2[tex]x^3[/tex]

For Largest Area find derivative of Area and set equal to zero.

A'(x) = 32 - 6[tex]x^2[/tex]

Now equating equal to zero

32 - 6[tex]x^2[/tex] = 0

Subtract 32 on both side, we get

- 6[tex]x^2[/tex] = - 32

Divide by -6 on both side, we get

[tex]x^2[/tex] = 5.33

Taking square root on both side, we get

x = 2.31

Hence, the maximum area the rectangle can have, is 2.31 square unit.

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The question is attached below - Attached below

Answers

Step-by-step explanation:

the formula for the circumference of a circle is

2×pi×r

well, does this look familiar ?

our given circumference is

2×pi×sqrt(2)

so, clearly, r (radius) = sqrt(2).

the area of a circle is

pi×r²

so, for our circle that means

pi×sqrt(2)² = 2pi ft²

MathXL for School Practice & Problem Solving
7.PS-13
Question Help
Shopping Two friends shop for fresh fruit. Elena buys a watermelon for $6.75 and 3 pounds of cherries. Taniy buys a
pineapple for $2.45 and 2 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries.
Write and simplify an expression to represent how much more Elena spent.
The expression represents how much more Elena spent than Taniy.
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Due

Answers

An expression that represents how much more Elena spent than Taniy is 4.3 + p.

How to write and simplify an expression to represent how much more Elena spent?

Assuming the variable p, represents the price, in dollars, per pound of cherries, the amount of money Elena spent in buying a watermelon for $6.75 and 3 pounds of cherries is given by:

Elena = 3p + 6.75.

For the amount of money Taniy spent in buying a pineapple for $2.45 and 2 pounds of cherries is given by:

Taniy = 2p + 2.45

For the difference, we have:

Elena's cost = 3p + 6.75 - (2p + 2.45)

Elena's cost = 3p + 6.75 - 2p - 2.45

Elena's cost = 4.3 + p

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4. One root of a quadratic
equation is 5+i
a. What is the other root?
b.What is the sum of the roots?
c. What is the product of the roots?
d. What is the equation?

Answers

The quadratic equation is x²+10x+26=0

What are quadratic equations?

A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.

Given here: Complex root of a quadratic equation is 5+i

And we know that complex roots always occur in pairs.

Thus the other root must be its conjugate as 5+i

The sum of roots will be given by 5+i+5-i=10

and product of the roots is given by (5+i) (5-i)=25-(-1)

                                                                           =26

∴ The quadratic equation is x²+10x+26=0

Hence, The roots are 5+i , 5-i

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Select all the inequalities that have symbols that will be reversed when the variable is isolated.

–10. 5 < 3a

b6 ≤ 7

–4. 5c > 9

–215 ≤ –52d

e – 13 ≥ 11

Answers

Option -  C and D : -4.5c > 9 and -215 ≤ -52d  will have its inequalities that have symbols that will be reversed when the variable is isolated .

Anytime you are multiplying or dividing an inequality by a negative you must reverse the inequality symbol .

Inequalities in mathematics specify the connection between two non-equal quantities. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. However, a variety of inequalities are employed to compare the values, whether they are less than or more than.

The different inequality symbols, properties, and methods for resolving linear inequalities in one variable and two variables will all be covered in this article along with examples. "A connection is called an inequality if two real numbers or algebraic expressions are connected by the symbols ">,",“<”, “”, “”,  An inequality statement in algebra uses the inequality symbol to illustrate the relationship between two expressions.

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what does it mean for a function to be differentiable?

Answers

When a point has a defined derivative, the point is where a function can be differentiated.

What is differentiable function?

Calculus functions in one variable that have a derivative at every point in their domain are said to be differentiable functions. At every interior point within the domain of a differentiable function, the tangent line to the graph is invariably non-vertical.

No break, cusp, or angle exists in a differentiable function. Continuous functions are never differentiable, but differentiable functions can never be continuous.

If the derivative of a function exists at every point within its domain, the function is said to be differentiable. In particular, f′(a) exists in the domain if a function f(x) is differentiable at x = a.

When a point has a defined derivative, the point is where a function can be differentiated. This indicates that the tangent line's slope from the points on the left is getting close to matching the tangent line's slope from the points on the right.

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In the community park, there are 7 oak trees and 4 maple trees. Which ratios show the number of oak trees to the number of maple trees

Answers

There are 7 oak trees and 4 maple trees in the community park, so the ratio of oak trees to maple trees can be written as 7:4.

What is ratio?

A ratio is a way of comparing two or more quantities. It is a way of expressing the relationship between two numbers in terms of their size. A ratio can be written in different ways, such as in the form of a fraction, as a decimal, or as a whole number.

We can also write the ratio in different ways, such as:

7/4 = 1.75 oak trees for every 1 maple tree

35:20 = 35 oak trees for every 20 maple trees

14:8 = 14 oak trees for every 8 maple trees

All of these ratios represent the same proportion, which is 7 oak trees to 4 maple trees.

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Evaluate
2a + 16
3b
when a = 3 and b = -2

Answers

Answer:

2a + 16

2(3) + 16

6 + 16 = 22

3b

3(-2) = -6

Step-by-step explanation:

Substitue the appropriate values into the expressions.

First equation:
2a + 16

a = 3

2(3) + 16

6 + 16

22


For the second equation:

3b

b = -2

3(-2)

-6

can somebody please tell me how we can answer this

Answers

The final velocity and displacement after 5 seconds are 19.3m/s and 59m and the acceleration is 0.7m/s²

What are Equations of Motion

The equations of motion are a set of mathematical equations that describe the motion of an object in terms of its position, velocity, and acceleration. These equations are used in physics, engineering, and other fields to predict and analyze the motion of objects.

The equations are;

v = u + at ...eq(i)

v² = u² + 2as ...eq(ii)

s = ut + 1/2 at² ...eq(iii)

2.

From the first equation of motion;

v = u + at

v = 4.3 + 3(5)

v = 19.3m/s

The displacement after 5 minutes will be

From third equation of motion;

s = ut + 1/2 at²

s = 4.3 * (5) + 1/2(3)(5)²

s = 59m

1)

distance = 1.0 * 10²m

time = 12.11s

acceleration = ?

Acceleration = velocity / time

velocity = distance / time

velocity = 1.0×10² / 12.11

velocity = 8.23m/s

acceleration = velocity / time

acceleration = 8.23 / 12.11

acceleration = 0.7 m/s²

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A new health drink has 140​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 40mg. How many milligrams of the vitamin are in the​ drink?

Answers

The drink contains 56mg of the vitamin while RDA is only 40mg.

What is milligram?

The SI unit of mass, the kilogramme, is 1000,000,000 times larger than the milligramme (mg), which is a unit of mass. Using a lowercase m and lowercase g, a milligramme is abbreviated as mg.

There are 1000 milligrammes in a gramme, hence the use of the prefix milli to denote the thousandth.

There are 10-6 kilogrammes in a milligramme. When describing drug doses, milligrammes are frequently used.

We have to count 140​% of the RDA to find the how much vitamins its contains.

Here, RDA = 40mg

140​% × 40

140/100 × 40

1.4  × 40

56mg

Thus, the drink contains 56mg of the vitamin while RDA is only 40mg.

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timed please be quick

Which statement describes the system of equations?


It has one solution (–5, 5).

It has one solution (5, –5).

The system has no solution.

The system has infinitely many solutions.

Answers

A statement which best describes the system of equations include the following: A. It has one solution (–5, 5).

What is a point of intersection?

In Mathematics, a point of intersection is the location on a graph where two (2) lines intersect, or cross each other, which is typically represented as an ordered pair containing the point that corresponds to the x-axis and y-axis on a cartesian coordinate.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

3x - 4y = -35     ........equation 1.

3x + 4y = 5       ........equation 2.

Based on the graph (see attachment), we can reasonably and logically deduce that the given system of equations has only one true solution, and this is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (-5, 5).

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A 2-pound bag of carrots costs $6.40. What is the price per ounce?

Answers

Search up how many ounces are worth then you’ll see yourself stop being lazy and at least try
It will be 20 cents per ounce

03.06 LC)
Which is the standard equation of the hyperbola centered at the origin, with a vertical transverse axis and values of a = 7 and b = 10?

Answers

The standard equation of hyperbola centered at the origin with the given values is  x^2 / 49  - y^2 / 100 = 1 .

What is Hyperbola ?

a plane curve generated by a factor so moving that the difference of the distances from two constant points is a consistent : a curve formed by way of the intersection of a double right circular cone with a plane that cuts each halves of the cone.

Given,

The standard equation of the hyperbola centered at the origin with given values a=7 and b=10 .

[(x2 / a2) – (y2 / b2)] = 1.

vertical axis with values a = 7 and b=10 .

[(x2 / a2) – (y2 / b2)] = 1.

(x^2 / 7*7)  -  ( y^2/ 10*10)  = 1

x^2 / 49  - y^2 / 100 = 1

Hence , the standard equation of hyperbola centered at the origin with the given values is x^2 / 49  - y^2 / 100 = 1 .

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Which of the following tables represents a multiplicative relationship?​

Answers

C is the answer of your question

Answer:

B is the answer

Step-by-step explanation:

A multiplicative relationship means that 2 quantities can be expressed as multiples of each other

my school's math club has 6 boys and 8 girls. i need to select a team to send to the state math competition. we want 6 people on the team. in how many ways can i select the team to have more girls than boys?

Answers

By 2228 ways i can select the team to have more girls than boys

We have, total number of boys = 6, while the total number of girls = 8

Total size of team = 6

Condition given: In every case the total number of girls should be more than the total number of boys.

As for that we can choose the team like

(6G, 0B) + (5G, 1B) + (4G, 2B)

Making the combination as per above arrangements:

We will get it as:

=8C6*6C0+8C5*6C1+8C4*6C2

As we know,

The formula of combination is:

[tex]$${ }_n C_r=\frac{n !}{r !(n-r) !}$$[/tex]

[tex]${ }_n C_r=$[/tex] number of combinations

n= total number of objects in the set

r= number of choosing objects from the set

So, applying the concept of combination in the above,

So, from above we can write it as:

8C6*6C0+8C5*6C1+8C4*6C2

=[tex][\frac{8!}{6! \times 2!}\times \frac{6!}{6!\times 0!}]+[\frac{8!}{5!\times 3!}\times \frac{6!}{5!\times 1}]+[\frac{8!}{4!\times 4!}\times \frac{6!}{2!\times 4!}]\\\\[/tex]

[tex][\frac{8 \times7\times6! }{6!\times2} \times \frac{1}{1}]+[\frac{8\times7\times6\times5!}{5!} \times \frac{6\times5!}{5!}]+[\frac{8\times7\times6\times5\times4!}{4!\times24} \times \frac{6\times5\times4!}{4!\times2}][/tex]

[28*1]+[336*6]+[70*2]

=28+2016+140

=2228

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a gym class has $12$ students, $6$ girls and $6$ boys. the teacher has $4$ jerseys in each of $3$ colors to mark $3$ teams for a soccer tournament. if the teacher wants at least one girl and at least one boy on each team, how many ways can he give out the jerseys? (jerseys of the same color are indistinguishable.)

Answers

So, the teacher can give out the jerseys in 840 ways.

The teacher wants to divide the 12 students into 3 teams, each with at least one girl and one boy.

One possible way to count the number of ways to divide the students is to use the stars and bars method.

For the first team, we have 5 stars and 2 bars, so the number of ways to pick 6 students is:

(5+2)!/(5!2!) = 7

For the second team, we have 4 stars and 1 bar, so the number of ways to pick 6 students is:

(4+1)!/(4!1!) = 5

For the third team, we have 3 stars, so the number of ways to pick 6 students is:

(3+0)!/(3!0!) = 4

Then we can multiply the number of ways to pick students for each team together to find the total number of ways to divide the students:

7 * 5 * 4 = 140

Then, as the jerseys are indistinguishable, we just have to multiply the number of ways to divide the students by the number of ways to distribute jerseys:

140 * 3! = 840

Therefore, the teacher can give out the jerseys in 840 ways.

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Two different drugs, X and Y, are currently in use to treat a certain condition. About 7 percent of the people using either drug experience side effects. A random sample of 75 people using drug X and a random sample of 150 people using drug Y are selected. The proportion of people in each sample who experience side effects is recorded.

Answers

Therefore ,option C is correct since the percentage sample would need to be higher than 100 to produce a significant result.

What is a percentage?

A percentage is a subdivision by 100, also referred to as percent. A percentage, which is defined as "per 100," denotes a component of an overall amount. For instance, 45% represents the number 45 out of 100. Calculating a percentage is the process of finding the proportion of a whole given terms of 100. There are choices for fraction computation and using online calculators.

Given:

A random selection of 75 drug users of drug X and just a random selection of 150 drug users of drug Y are chosen,

Most statisticians agree that you need a 100 sample size to get any kind of statistically meaningful findings. You should absolutely poll each and every person in a population of less than 100.

The representative sample for medication X is therefore insufficient.

Therefore ,option C is correct since the sample would need to be higher than 100 to produce a significant result.

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A cloud is drifting across the sky at 552metersperminute. it is at an altitude of 9,200 meters. if its speed remains steady, how far will the cloud move in 17.5minutes?

Answers

The cloud can ascend 9,616 metres in 17.5 minutes, based on the statement made.

How is altitude measured and what does it mean?

Utilizing the measurement of air pressure, altitude may be calculated. The pressure decreases with increasing altitude. An instrument is referred to as a pressure analyzer or pneumatic altimeter when a barometer is given a nonlinear calibration to display altitude.

This may be calculated by dividing the cloud's speed (552 metres per minutes) by the distance it must travel (17.5 minutes). We now know the distance to be 9,616 meters.

The speed of said cloud and the length of time it is going are four pieces of information that must be known in order to determine the minimum distance the cloud might cover in 17.5 minutes. We must increase the cloud's stated speed of 552 meters a minute by the distance it is going across, which in itself is 17.5 minutes. As a result, we now have 9,616 meters overall.

Another way to see this is to picture the cloud beginning at place A (9,200 meters) or terminating at point B. (9,616 meters). The distance between points A and B will be covered in 17.5 minutes if the cloud is moving at a pace of 552 meters per minute.

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The surface area of this cone is 5,633.16 square millimeters. What is the slant height of this
cone?
Use ≈ 3.14 and round your answer to the nearest hundredth,

Answers

Therefore , the solution of the given problem of surface area comes out to be slant height 43 mm.

Definition of surface area

How much surface area it occupies is a decent indication of its total size. The surroundings is taken into account while calculating the squared of a right triangle. Anything's overall size is determined by its surface area. The volume of water inside a cuboid is the total of the volumes on each of the six horizontal sides. To determine the box's dimensions, use the formula below: The region is the same in 2lh, 2lw, and 2hw (SA). The overall area of the adaptable shape serves as a representation of the region.

Here,

Given :

Surface area = 5633.16 square millimeters

and

slant height = x

radius = 26 mm

So,

=> SA = πr² + πrl = 5633.16

=>SA = π(r² + rl) = 5633.16

=> SA = 3.14 ( 26² + 26* l) = 5633.16

=> SA = 2122.64 + 81.64l = 5633.16

=> SA = 81.64* l = 5633.16 - 2122.64

=> 81.64*l = 3510.52

=> l = 3510.52/81.64

=> l = 43 mm

Therefore , the solution of the given problem of surface area comes out to be slant height 43 mm .

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What type of chart can graph 2 different types of data?

Answers

A combination chart can be made up of the area, bar, column, dot, and line charts.

Bar charts are one of the most common data visualizations. Each data series can be represented by a different type of chart. They are all then displayed simultaneously on the same chart.

Adding a chart type that displays over another chart type can give you an immediate comparison of two or more data series over a dimension such as time.

Combination charts enable you to compare different series of data through different types of charts on the same axes simultaneously. This is useful for visualizing large quantities of data in varied formats.

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22/3 times x = 1.6 divided by 6/11
PLS HELP

Answers

[tex]\cfrac{22}{3}x=\cfrac{1.6}{~~ \frac{6 }{11 } ~~}\implies \cfrac{22x}{3}=\cfrac{\frac{16}{10}}{~~ \frac{6 }{11 } ~~}\implies \cfrac{22x}{3}=\cfrac{16}{10}\cdot \cfrac{11}{6}\implies \cfrac{22x}{3}=\cfrac{8}{5}\cdot \cfrac{11}{6}[/tex]

[tex]\cfrac{22x}{3}=\cfrac{8}{6}\cdot \cfrac{11}{5}\implies \cfrac{22x}{3}=\cfrac{4}{3}\cdot \cfrac{11}{5}\implies \cfrac{22x}{3}=\cfrac{44}{15} \\\\\\ \stackrel{\textit{multiplying boths sides by }\stackrel{LCD}{15}}{15\left( \cfrac{22x}{3} \right)=15\left( \cfrac{44}{15} \right)}\implies 110x=44\implies x=\cfrac{44}{110}\implies \boxed{x=\cfrac{2}{5}}[/tex]

Belinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years:

Answers

Where is the table?

Answer:

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Part A :

If a function is linear, then the function values have equal differences.

If a function is exponential, the function values have equal ratios.

For car 1 :

36450 / 40,500 = 9/10

32805 / 36450 = 9/10

Values of car have equal ratios.

This is exponential function.

For car 2 :

39000 - 42000 = -3000

36000 - 39000 = -3000

Values of car have equal differences

This is linear function.

Part B :

The initial value of car is 45,000.

For car 1 :

f(1) = 40,500, f(2) = 36,450, ............

For car 2 :

f(1) = 42,000, f(2) = 39,000, ..........

Part C :

For car 1 :

f(13) =   = 11438.396

For car 2 :

f(13) =  = 6000

There is a significant difference in the values of the car after 13 years. The value of the car 1 is greater.

Hence the value of the car 1 is described by an exponential function and that of car 2 by linear function. The value of car 1 is greater after 13 years.

Step-by-step explanation:

The owner of a pet food store wants to mix birdseed that cost $1.25 per pound with sunflower seeds that cost $0.75 per pound to make 50 pounds of a mixture that cost one dollar per pound how many pounds of each type of sea should he use

Answers

If the owner of a pet food store wants to mix birdseed that cost $1.25 per pound with sunflower seeds that cost $0.75 . The number of pounds of each type of sea he should use is: 25 pounds of $1.25 birdseed and 25 pounds of $.75 sunflower seed.

How to find the number of pounds?

Let x represent the number of  pounds of $1.25 birdseed that is is used

1.25x+.75(50-x)=50×1

1.25x+37.5-.75x=50

Combine like terms

.50x=50-37.5

.50x=12.5

Divide both side by .50x

x=12.5/.5

x=25 pounds of $1.25 birdseed

So,

50-25=25 pounds of $.75 sunflower seed

Therefore the number of pounds is $1.25 birdseed and $.75 sunflower.

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ft.
2. A slow-moving bug is climbing a 15 ft. pole to reach a critical food source. It manages to climb 3
each day, but at night it slides back down 1 ft. How many days will it take the bug to reach the top and
get the food?

Answers

Step-by-step explanation:

a0 = 0 ft (starting on the ground)

a1 = a0 + 3 - 1 = a0 + 2

an = an-1 + 3 - 1 if an-1 +3 < 15

an = an-1 + 3 if an-1 + 3 >= 15

so, we need to find the n, so that

an = an-1 + 2 >= 12

but by looking at the structure, we see that every step just adds 2 ft to the total height.

an = a0 + 2n = 0 + 2n = 2n

2n >= 12

n >= 6

so, with day 6 the bug reaches 12 ft height. in day 7 it gets up to 15 ft and reached its goal.

it will take 7 days for the bug to reach the top and get the food.

A photographer prints an 8x10 team photo. The team would like to get it blown up by 200% in order to display it in the trophy case. What will be the new dimensions of the photo?

Answers

Answer:

16x20

Step-by-step explanation:

I think, 200% likely means x2. Just an idea, try it if you'd like!

For each sequence find the first 4 terms and the 10th term.
A)n^2+6
B)3n^2

Answers

The first 4 terms and the 10th term of the sequences are listed below

How to determine the terms of the sequence

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

Calculate the first 4 terms and the 10th term.

A)n^2+6

Here, we have

First = 1^2 + 6 = 7

Second = 2^2 + 6 = 10

Third = 3^2 + 6 = 15

Fourth = 4^2 + 6 = 24

Tenth = 10^2 + 6 = 106

B)3n^2

Here, we have

First = 3 * 1^2 = 3

Second = 3 * 2^2 = 12

Third = 3 * 3^2 = 27

Fourth = 3 * 4^2 = 48

Tenth = 3 * 10^2 = 300

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