Write a simplified expression to represent the perimeter of the equilateral triangle:

A. 4.5x + 5
B. 4.5x + 15
C. 3x + 10
D. 6x + 20

Answer:

E

Step-by-step explanation:

let a, b, c represent the number of students in 6th, 7th, 8th grade

ratio of students : teachers = 28 : 1

There are 82 teachers , so 28 × 82 = 2296 students

Then

a + b + c = 2296 , that is

828 + b + c = 2296 ( subtract 828 from both sides )

b + c = 1468 → E

If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

Probability  can be regarded as a  measure of the likelihood of an event  that can take place.

It should be noted that  Many events cannot be predicted with total certainty, hence , If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.

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Given the following data: n = 220, x = 29.9 hg, s = 7.3 hg, confidence level = 98%.To find the confidence interval estimate of the mean at a 98% confidence level, we use the following formula: CI = x ± Zα/2 * σ/√n Where Zα/2 is the Z-value for the 98% confidence level and is calculated as follows:

Zα/2 = 1 - (α/2)Zα/2 = 1 - (0.98/2)Zα/2 = 1 - 0.49Zα/2 = 0.51From the above formula and calculation, we can find the confidence interval for μ as follows: CI = 29.9 ± 0.51(7.3/√220)CI = 29.9 ± 0.97CI = (28.93, 30.87)This indicates that we are 98% confident that the true mean weight of newborn girls falls between 28.93 hg and 30.87 hg.Next, we need to compare these results with a confidence interval estimate from a different sample set which has only 16 sample values. From this sample set, we have: x = 29.7 hg, s = 3.1 hg. Using a 98% confidence level, we have the following: CI = x ± Zα/2 * σ/√nWhere n = 16, Zα/2 = 0.51 (from above), Comparing the two confidence intervals, we see that they do overlap quite a bit, but they are not identical. The first confidence interval (from the larger sample) is (28.93, 30.87) while the second confidence interval (from the smaller sample) is (29.31, 30.09).

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Answer:

20% (I believe)

Step-by-step explanation:

If you divide 16 from 320 you should get 20, and 20% of 320 is 16! :3  (I really hope that this helps- I'm not the best at math ;w;)

Answer:

Jeremy ran about 1.2 miles and jimmy ran 2 miles so jimmy ran more miles

Explanation:

If Jeremy ran 10 laps on a 1/8 mile long track, he ran about 1.25 miles in total

(10*1/8)

If Jimmy ran 8 laps on a 1/4 mile long track, he ran 2 miles in total.

(8*1/4)

Step-by-step explanation:

here you go I hope my answer is correct goodbye

Answer:

i think you draw it

Step-by-step explanation:

it tells you the answer

Answer:

x=0.73 to the nearest hundredth.

Better-than-average illusion is the propensity to assume that one is superior to the majority within a certain group.

The disparity between the parameter's actual value and its expected value is known as bias. Anything that causes a systematic discrepancy between the statistics used to estimate the parameters of a population and their true parameters is considered statistical bias.

Truth is warped by bias. It is a flaw in the system that we don't frequently notice since it is wrapped up in our humanity. The definition of bias is as basic as "unconscious preference," yet it can be benign or evil. Whatever form they take, though, the biases we have prevent us from seeing the world as it really is.

Better-than-average illusion is the propensity to think that one is superior to the majority in a specific group.

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Answer:

Step-by-step explanation:

333 times 555=184815

777 times 444=344988

now add 184815+344988=529803

The cost of admission for one child is $5.60.

To find the cost of cost of admisson for one child, we can set up a system of linear equations using the given information.
Let A represent the cost of admission for one adult and C represent the cost of admission for one child.

We can write two equations based on the information given:
3A + 5C = $32.50 (for the first group)---------(1)
4A + 4C = $34.00 (for the second group)---------(2)
We can solve these equations step-by-step to find the value of C:

Multiply equation (2) by -1 so that we can eliminate A when adding both equations:
-4A - 4C = -$34.00

Add equations (1) and the modified equation (2) to eliminate A:
(3A + 5C) + (-4A - 4C) = $32.50 + (-$34.00)
-A + C = -$1.50

Multiply the whole equation by -1 to get rid of the negative sign:
A - C = $1.50 ---------(3)

Add equation (2) to the equation we got in step 3 to eliminate C:
(4A + 4C) + (A - C) = $34.00 + $1.50
5A + 3C = $35.50

Divide the equation by 5 to find the value of A:
A = $7.10

Substitute the value of A back into the equation 3:
$7.10 - C = $1.50

Solve for C:
C = $7.10 - $1.50
C = $5.60

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Answer:

y = 4x - 18

Step-by-step explanation:

Write out y = mx + b.

The slope of the line in question is 4.  Thus we have y = 4x + b.

Finally, substitute -6 for y, 3 for x and solve for b:

-6 = 4(3) + b, or -6 = 12 + b.  Then b = -18, and the equation of this line is

y = 4x - 18

Answer:

18

Step-by-step explanation:

y=4x-18 is the solution and 18 is the y-intercept because the b (18) is the y-intercept.

Option B is correct, the inequality which represents the  length of segment AB is greater than  length of segment AD is 9x-16>1.5x+42

The given rectangle is ABCD.

The length of segment AB is 9x-16 units

The length of segment AD is 1.5x+42 units

We have to find the inequality which represents the  length of segment AB is greater than  length of segment AD

> is the symbol used to represent greater than

AB>AD

9x-16>1.5x+42

Hence, option B is correct, the inequality which represents the  length of segment AB is greater than  length of segment AD is 9x-16>1.5x+42

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Complex fractions are fractions with a fractional numerator, denominator, or both.

Given,

We have to state about complex fraction;-

Complex fraction;

When both the denominator and the numerator, or both, contain fractions, the fraction is said to be complicated. A complex fraction with a variable is a complex rational expression. For instance: The complex fraction 4/(1/3) has the denominator as 1/3 and the numerator as 4.

Solving the complex fraction;

In the numerator and denominator, make a single fraction. By multiplying the numerator by the inverse or reciprocal of the denominator, you can use the fractional division rule. If it's required, simplify.

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Based on mathematical operations, the number of the students surveyed who live less than 1 mile from school and use a bus to get to school is 21.

The basic mathematical operations are addition, subtraction, division, and multiplication.

Mathematical operations combine mathematical operands and the equation symbol (=) to solve mathematical problems.

                               Transportation to School

Distance from          Walk         Bus      Subway    Total

Home to school

Less than 1 mile         16            21               6           43

1 or more miles           3             13             21           37

Total                          19            34             27          80

Total = 27 (80 - 19 - 34)

Less than 1 mile = 6 (27 - 21)

Less than 1 mile = 21 (43 - 6 - 16)

1 or more miles = 13 (37 - 3 - 21)

                               Transportation to School

Distance from          Walk         Bus      Subway    Total

Home to school

Less than 1 mile         16                                            43

1 or more miles           3                              21           37

Total                          19              34                           80

Thus, 21 students surveyed by the teacher live less than 1 mile from school and use a bus to get to school.

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The federal government only has powers written in the constitution and the rest or for the states

Answer:

840

Step-by-step explanation:

360 divided by 3 = 120 Visitors per Hour

Now you do you 120 x 7 which equals to 840

Hope this helps ^^

Step-by-step explanation:

360 visitors in 3 hours.

that gives us the ratio

360/3

and because a ratio is nothing else than a fraction with a special meaning, we cab simplify this like any other fraction too :

360/3 = 120/1 = 120

in other words, out of the 3-hour ratio we know that there are 120 visitors in 1 hour.

and now it is easy to use it to find the number of visitors for 7 hours.

remember, if we multiply one part of the fraction by something, we need to multiply also the other part by the same number so that the value of the fraction stays the same.

in other words, we can only do

a/b × c/c

so, if we multiply the bottom part of our ratio by 7 (to go to 7 hours), we also have to multiply the top part by 7 to keep the ratio :

120/1 × 7/7 = 840/7

that tells us that there are 840 visitors in 7 hours.

Answer: 1. C and number 2 is A

Step-by-step explanation: Hope this helps

Answer:

Step-by-step explanation:

x  - the width of the barn

She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:

y = 32 - 2x

Area of the fencing:  A = x•y

A(x) = x•(32 - 2x)

A(x) = -2x² + 32x             ←  quadratic function

The maximum value of quadratic function occurs at:  \(x=-\frac b{2a}\)

a = -2,  b = 32

\(x=-\frac b{2a}=-\frac{32}{2\cdot(-2)}=-(-8)=8\)

32-2x = 32 - 2•8 = 16

The exact value of sin(α + β) is -16/65.

To find the exact value of sin(α + β), we can use the trigonometric identities and the given information about the values of sinα and sinβ.

We are given:

sinα = 3/5 (α in quadrant I)

sinβ = 5/13 (β in quadrant II)

Let's use the sum formula for sine:

sin(α + β) = sinα * cosβ + cosα * sinβ

To evaluate sinα, we need to find cosα using the Pythagorean identity:

sin²α + cos²α = 1

Given sinα = 3/5, we can solve for cosα:

(3/5)² + cos²α = 1

9/25 + cos²α = 1

cos²α = 1 - 9/25

cos²α = 16/25

cosα = ± √(16/25)

cosα = ± 4/5

Since α is in quadrant I, cosα is positive:

cosα = 4/5

Similarly, we need to find cosβ using the Pythagorean identity:

sin²β + cos²β = 1

Given sinβ = 5/13, we can solve for cosβ:

(5/13)² + cos²β = 1

25/169 + cos²β = 1

cos²β = 1 - 25/169

cos²β = 144/169

cosβ = ± √(144/169)

cosβ = ± 12/13

Since β is in quadrant II, cosβ is negative:

cosβ = -12/13

Now, substitute the values of sinα, cosα, sinβ, and cosβ into the sum formula for sine:

sin(α + β) = (3/5) * (-12/13) + (4/5) * (5/13)

sin(α + β) = -36/65 + 20/65

sin(α + β) = -16/65

Therefore, the exact value of sin(α + β) is -16/65.

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Problem 1

There are 23 women that drive out of 12+3+23+8+5+32 = 83 people total

Divide the two values: 23/83 = 0.28 approximately

This says about 28% of the total people are women who drive a car.

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Problem 2

The "given" is a very important keyword in probability. In this case, we're given that the employee takes the bus. That means we soly focus on the "bus" column only. Everything else is irrelevant. This is because we know 100% that whoever we selected takes the bus, and we've shrunk down the population just these employees.

We have 8 males who take the bus out of 12+8 = 20 people who take the bus. Therefore, 8/20 = 0.40 represents the relative frequency of males who take the bus out of all bus commuters. In other words, 40% of the bus riders are male.

The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The probability of the experiment is = 0.375, 0.665.

acc  to our question-

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The type of sampling used in this scenario is B. Stratified sampling. Stratified sampling involves dividing the population into distinct subgroups or strata and then selecting samples from each subgroup.

In this case, Miranda divides her day into three parts: morning, afternoon, and evening. Each part of the day represents a stratum or subgroup.  Miranda measures her breathing rate at 4 randomly selected times during each part of the day. This means she is taking samples from each of the three strata (morning, afternoon, and evening) and collecting data from within those subgroups.

By using stratified sampling, Miranda ensures that her samples represent the different parts of her day in a proportional and systematic manner, allowing her to capture potential variations in her breathing rate throughout the day.

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The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Based on the information in the graph, we can infer that the missing numbers are: 9, 4, 19, 30, 84, 16, 8, 22, and 40.

To complete the table correctly we must identify the columns or rows with more data. These will be the easiest to complete. First of all, we must fill in those that already have a number in the total box because we can add the available numbers and later subtract them from the total to identify the missing number.

We can also find the numbers in the total cells by adding all the numbers in a column or row to find this result. Finally, the boxes that are being completed serve as clues to complete the others.

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Answer:

2652 is the correct answer

Answer:

$3,096

Step-by-step explanation:

To find the total interest Mr. Quesada will pay, we need to first calculate the total amount he will pay back, and then subtract the original amount borrowed.

The total amount Mr. Quesada will pay back over 24 months is:

$629 x 24 = $15,096

Subtracting the original loan amount, we get:

$15,096 - $12,000 = $3,096

So Mr. Quesada will pay a total of $3,096 in interest over the course of the loan.

Answer:

The minimum and maximum cannot be determined because this is not a quadratic function.

Step-by-step explanation:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.