The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below.
24 26 24 27
27 24 29 26
34 30 30 28
23 30 24 19
14 26 26 26
Find the median number of vehicles going through the line in a 15-minute period.
A: 27 vehicles B: 25.85 vehicles C: 30 vehicles D: 26 vehicles

Answers

Answer 1

Answer:

The correct answer is: Option D: 26 vehicles

Step-by-step explanation:

Median is the middle value of a sorted data set.

The formula for median depends on the number of values in the dataset.

First of all we have to arrange the given data in order

So,

14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34

Counting the values in the dataset

n = 20

As the number of values is even, the formula for median will be

[tex]M = \frac{1}{2}(\frac{n}{2}th\ value+(\frac{n}{2}+1)th\ value)[/tex]

Putting the values

[tex]M = \frac{1}{2}(\frac{20}{2}th\ value+(\frac{20}{2}+1)th\ value)\\M=\frac{1}{2}(10th\ value +[10+1]th\ value]\\M= \frac{1}{2}(10th\ value + 11th\ value)[/tex]

The 10th value in dataset is 26 and 11th is also 26 so

[tex]M = \frac{1}{2}(26+26)\\M = \frac{1}{2}(52)\\M = 26[/tex]

Hence,

The correct answer is: Option D: 26 vehicles


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A rectangle is 7 meters longer than it is wide. If the area is 84 square meters, find the dimensions of the rectangle.

Answers

Answer:

w=38.5

l=45.5

Step-by-step explanation:

I'm not sure but I hope this helps! *You may want to check my math*

I took the area and subtracted 7, then dived it by 2. Then add back the 7 to my answer to the length.

A rectangular field has an area of 1450 square feet. If the width is 3 times greater than the length which of the following is the length of each field

Answers

Length would be 362.5
He width would be 1087.5

Hope this helps :)

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Identify the following characteristics and
graph the equation.
f(x) = 3(x - 2)2 + 4

Answers

Answer:

6(x-2)+4

Slope=6

Step-by-step explanation:

Order of operation with Integers

Answers

Answer:

8

Step-by-step explanation:

we have to follow PEDMAS.

what we have to do in each operation:

Parenthesis ~  100 + 8 to the second power

Exponents ~ 10 to the 2nd power, 8 to the 2nd power, 2 to the 3rd power

Multiplication  ~  none

Division ~  10 to the 2nd power - (100 + 8 to the second power) divided by 2 to the 3rd power

Addition ~ 100 + 8 to the 2nd power

Subtraction ~ 10 to the 2nd power - (100+8 to the second power)

doing the work:

we start with P: but in what we have to do in the Parenthesis, there is an exponent and addition. we do the exponent first. 8 to the second power is 64. now we can add. 100 + 64 = 164.

E: we did the 2nd exponent, but we need the other 2 for later. 10 to the 2nd power is 100, and 2 to the 3rd power is 8.

we can skip M because there isn't any multiplication to do.

D: we have to do 10 to the 2nd power - (100 + 8 to the second power) first. 100-164= 64. now we can devide. 64 devided by 8 = 8

A: we already did the addition in the parenthesis part.

S: we already did the addition in the parenthesis part.

Find the Unit Rate: Twenty emails in 5 minutes.

Answers

Answer:

4 emails per minute

Step-by-step explanation:

20/5=4

please help jjjsjssioaozkzksnsnsns

Answers

its 4 lemme know if you need help again

Which choice describes the value of m when -5(m + 1) ≤ 23?
1. m ≥ -28/5
2. m ≤ -28/5
3. m ≥ -18/5
4. m ≤ -18/5

Answers

Answer:

Number 1

Step-by-step explanation:

-5(m + 1) ≤ 23

Distribute

-5m - 5 ≤ 23

-5m ≤ 23 + 5

-5m ≤ 28

-m ≤ 28/5

Since we divide by a negative the ≤ flips to ≥

m ≥ -28/5

Hope this helps :3

3
is (4,-5) a solution of the graphed inequality?
Choose 1 answer:
Yes
0
No

Answers

Yesssssssssssssssssssssss

The sum of two numbers is 37 and the difference is 13. What are the numbers

Answers

Answer:

25 and 12

Step-by-step explanation:

1) x+y=37

x-y=13 or x=13+y

Put x=13+y into equation 1:

13+y+y=37

y+y=24

y=12

x=25

Common factor 9 and 45​

Answers

Answer:

Step-by-step explanation:

The gcf of 9 and 45 can be obtained like this: The factors of 9 are 9, 3, 1. The factors of 45 are 45, 15, 9, 5, 3, 1. The common factors of 9 and 45 are 9, 3, 1, intersecting the two sets above

The COMMON FACTORS of 9 and 45 are 9, 3, 1.
hope this helps x

Hey, I need help. What is the answer to g(n) = n + 2; Find g(6) ?

Answers

Answer:

g(6) = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function notation

Step-by-step explanation:

Step 1: Define

g(n) = n + 2

g(6) is n = 2

Step 2: Evaluate

Substitute:                    g(6) = 6 + 2Add:                              g(6) = 8

on her 120 point final exam latonja needs above a 90% to secure an A fot the course. If she scored 109 points, did she earn an A? Justify your answer

Answers

Answer:

yes

Step-by-step explanation:

a 90 percent would be 108

Answer:

Yes she earn an A Because 90% of 120 is 108 which means that she scored 109 which means  90% of 120 is 108 which means that she scored 109  in which means approximately 91% proving that she got an A

Step-by-step explanation:

Magic

Algebra help please quick

Answers

Slope is 2/3

0= 3x - 2
Then move the variables

-3x = -2
Divide both sides

X = 2/3

an amusement park charges $8 for parking in addition to $1.25 per ride ticket. write an equation to represent the total cost to visit the amusement park, then find the number of rides a person can go on, if they have $30. identify your variables.​

Answers

Answer:

32/125 I think this is the answer

Step-by-step explanation:

Answer: 32/125

Step-by-step explanation:

Solve the proportion 20/3=?/6

Answers

Answer:

40

Step-by-step explanation:

3x2=6 so 20x2=40. It is a 6.66:1 ratio.

The value of the unknown number in the equation 20/3 = ?/6 is 40.

What is the value of the missing number?

Given the equation in the question:

20/3 = ?/6

To solve the equation 20/3 = ?/6, first represent the missing number with x:

20/3 = x/6

Cross-multiply and solve for the unknown value.

x × 3 = 20 × 6

Multiply 3 and x:

3x = 20 × 6

Multiply 20 and 6:

3x = 120

Next, divide both sides by 3:

3x/3 = 120/3

x = 120/3

x = 40

Therefore, the value of x is 40.

Learn more about equations here: brainly.com/question/14686792

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A female grizzly bear weighs 500 pounds after hibernating for 6 months, she weighs only 350 what is the mean monthly change in weight

Answers

Answer:

sorry just need points

Step-by-step explanation:

evauluate expression 14/3n - n​

Answers

Answer:

7/n

Step-by-step explanation:

14/2n=7/n

You buy rice at $0.71 a pound.one batch of fried rice requires 2 pounds of rice.how much does the rice for one batch cost.round to the nearest cent.

Answers

Answer:

$1.42

Step-by-step explanation:

0.71 *2 = 1.42

bcz we need 2 pounds

Find a 95% confidence interval for the true population proportion.

In a survey of 765 employees of a large company, 30% said that they had high job satisfaction.

Answers

Answer:

The 95% confidence interval for the true population proportion is (0.27, 0.33).

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion of is:

[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information given is:

[tex]\hat p=0.30\\n=765\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is, 1.96.

Compute the 95% confidence interval for the true population proportion as follows:

[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

    [tex]=0.30\pm 1.96\times\sqrt{\frac{0.30(1-0.30)}{765}}\\\\=0.30\pm 0.0325\\\\=(0.2675, 0.3325)\\\\\approx (0.27, 0.33)[/tex]

Thus, the 95% confidence interval for the true population proportion is (0.27, 0.33).

The length of the diagonal of a squere is 36 feet. Find the length of the side of the square.

Answers

Answer:

Length of the side of a square is 18 sqrt(2)

Step-by-step explanation:

a and b are the sides of square and c is the diagonal.

a^2+b^2=c^2

a^2+b^2= 36^2

As all sides are equal we can take b=a

2a^2=36^2

a^2= (36×36)/2

a^2 = 18×36 = 2×9×9×4

Taking squareroot on both sides we get

a= sqrt(2×9×9×2×2)

a=18 sqrt(2)

Find the quotient
4/3÷1 1/12

Answers

the answer should be 1/9

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Answers

What is the question

alyssa does jumping jacks in her spare time she does 300 jumping jacks on 2.5 minutes how many jumpin jacks can she do per minute?​

Answers

The answer to this question is 120 hope this helps

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Answers

Answer:

Prob because you were giving away free points or broke the rules.

What is the simplified value of the expression below? One-third divided by two-thirds 0 One-third One-half 1

Answers

Answer:

It is one half 1

                    2

Step-by-step explanation:

did test on edg 2020

Answer:

c on edge 2021  

Step-by-step explanation:

1/2

Solve for p in the literal equation 8p + 3r = q.

Answers

Answer:

Step-by-step explanation:

8p + 3r = q

     8p  = q - 3r

      p   = (q-3r)/8

UT is the midsection of triangle QRP. If UT= x+9 and QP=4x-27, what is the length of QP?

Answers

Answer:

Step-by-step explanation:

4x - 27 = 2(x + 9)

2x = 27 + 18

x = 45 ÷ 2 = 22.5

QP = 4(22.5) - 27 = 63 units

Can anybody help me with this question?

Answers

Answer:

Your answer is c hope this helps

In ΔUVW, \overline{UW} UW is extended through point W to point X, \text{m}\angle UVW = (3x+16)^{\circ}m∠UVW=(3x+16) , \text{m}\angle WUV = (2x+8)^{\circ}m∠WUV=(2x+8) and \text{m}\angle VWX = (8x-18)^{\circ}m∠VWX=(8x−18) Find \text{m}\angle WUV.m∠WUV.

Answers

Applying the exterior angle of a triangle theorem, m<WUV = 36°

What is the Exterior Angle of a Triangle Theorem?

The exterior angle of a triangle theorem states that the measure of the angle formed, when one side of a triangle is extended, is equal to the sum of the opposite interior angles of that triangle.

Applying the exterior angle of a triangle theorem:

m<WUV + m<UVW = m<VWX

Substitute

2x + 8 + 3x + 16 = 8x - 18

Add like terms

5x + 24 = 8x - 18

5x - 8x = -24 - 18

-3x = -42

-3x/-3 = -42/-3

x = 14

m<WUV = 2x + 8

Plug in the value of x

m<WUV = 2(14) + 8

m<WUV = 28 + 8

m<WUV = 36°

Therefore, applying the exterior angle of a triangle theorem, m<WUV = 36°

Learn more about the exterior angle of a triangle theorem on:

https://brainly.com/question/11356657

#SPJ1

answer asap for brainliest

Answers

Answer:

(2,4)

Step-by-step explanation:

Plug in 2 for x and plug in 4 for y and the equation should be correct

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