The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45

B.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45

C.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45

D.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45

Step-by-step explanation:

The Perimeter of Equilateral triangle = 60cm

According to the question,

To find the height of the triangle,

Perimeter of Equilateral triangle = Area of Equilateral triangle.

[tex]60 = \frac{ \sqrt{3} }{4} a {}^{2} \\ [/tex]

[tex]60 \times 4 = \sqrt{3a {}^{2} } [/tex]

[tex]a {}^{2} = 240 \sqrt{3} \\ [/tex]

[tex]a = 120 \sqrt{3} cm[/tex]

Answer:

The first one because the width and the length make the box of ice cream look bigger.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

As given  

  1/sqrt2=x/5sqrt2

5sqrt2/sqrt2=x                Both sqrt will get cancelled

5=x

Answer:

i don't have lesion kau you forever i am sorry

Step-by-step explanation:

your browser to mo Lego house of blues festival

Answer:

n < 42

Step-by-step explanation:

450 + 25n < 1500   (Has to be less than 1500)

25n < 1500 - 450

25n < 1050

n < 42

Answer:

n < 42

450 + 25n < 1500    

25n < 1500 - 450

25n < 1050

n < 42

D-(x-4)(4x+1) is your answer

Answer:

4x²-15x-4

doing middle term factorization

4x²-16x+x-4

4x(x-4)+1(x-4)

(x-4)(4x+1)

12 : 16

divide by 4

3 : 4

that's it

Answer

y=x/8

Step-by-step explanation:

f(x)=8x

f(x)=y

y=8x(interchange the values)

x=8y(divide by 8 both sides)

y=x/8

Answer:

Step-by-step explanation:

If angles C and B have equal degrees then the side AC is also equal to  side AB in length and you can make their equations equal as well and solve for X.

2x+16=7x+6

get X's all on same side and the constants all on the other side,  

-2x +2x+16=7x+6+-2x

The X's on the left cancel out.

16=5x+6

-6+16=5x+6+-6

add -6 to each side.  On the right the 6 is now cancelled out.

10=5X

divide each side by 5 to cancel out the 5

10/5= 5X/5

2=X .  ANSWER

the answer is in the image look at the image to see

Answer:

38 remander 8

Step-by-step explanation:

Answer:

17.25

Step-by-step explanation:

8556 / 32 / 15.5 = 17.25

14.

Step-by-step explanation:

6x+6=90 (being a straight line)

6x=90-6

6x=84

x= 84/6

x=14.

Answer:

4 groups

Step-by-step explanation:

Answer:

D 21

Step-by-step explanation:

Good Luck!

Answer:

a) 0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers

b) 0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers

c) 1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Standard deviation of 500 kilometers

This means that [tex]\sigma = 500[/tex]

a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?

Mean of 1500 km means that [tex]\mu = 500[/tex]

The probability is the pvalue of Z when X = 500. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{500 - 1500}{500}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers.

b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?

Now [tex]\mu = 1200[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{500 - 1200}{500}[/tex]

[tex]Z = -1.4[/tex]

[tex]Z = -1.4[/tex] has a pvalue of 0.0808

0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers.

c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?

1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.

Answer:https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation:hope this helps

ok for the people who dont wanna do the link thing the answer is C : colton

HOPE THIS HELPS :))))) xx

Answer:

c, colton is wrong

Step-by-step explanation:

i got it right on edge 2020

Answer:

π r² h/3

Step-by-step explanation:

(pi x radius to the 2nd power times height divided by 3 )

π r² h/3

insert the height at the letter (h)

convert π to 3.14

insert radius at letter (r)

Answer:

[tex]m = -\frac{2}{3}[/tex]

Step-by-step explanation:

Given

[tex]2x+3y=12[/tex]

[tex]4x-3y=15[/tex]

Required

Slope of #1

[tex]2x+3y=12[/tex]

Make y the subject

[tex]3y = -2x + 12[/tex]

Divide through by 3

[tex]y = -\frac{2}{3}x + \frac{12}{3}[/tex]

[tex]y = -\frac{2}{3}x + 4[/tex]

An equation has the form:

[tex]y = mx + c[/tex]

Where

[tex]m = slope[/tex]

Compare [tex]y = mx + c[/tex] and [tex]y = -\frac{2}{3}x + 4[/tex]

[tex]m = -\frac{2}{3}[/tex]

Hence, the slope is [tex]-\frac{2}{3}[/tex]

Answer:

Step-by-step explanation:

because in square all sides are equal

Answer:

bc=28

Step-by-step explanation:

give them brainliest

Answer:

D) rotational and point

Step-by-step explanation:

D) rotational and point

Answer:

the second one

Step-by-step explanation:

let x be how much longer she can run the race and still beat her previous time

55(min) + x(min) < 1(hr) + 10(min)

55(min) + x(min) < 60(min) + 10(min)

55 + x < 60 + 10

x < 60 + 10 - 55

x < 15(min)

Answer:

Answer is A

Step-by-step explanation: Taking the test so the answer is A

Answer: x-intercepts (5,0), (2,0), (1,0)

y-intercept (0,-10)

Step-by-step explanation: If one factor of the polynomial function is (x-5), then the function f(x) can be factored in the following way: (x-5) (x^2-3x+2)

Now factor the trinomial: (x-2) (x-1)

Thus, x-intercepts (points where f(x)=0) are

x1=5

x2=2

x3=1

and y-intercept (point where x=0) is

f(0)=0^3-8.0^2+17.0-10=-10.

plz mark me brainliest

A function assigns the values. The y-intercept of the function is -10, while the x-intercept of the function is 5, 2, and 1.

A function assigns the value of each element of one set to the other specific element of another set.

To find an intercept of the function, we need to substitute the value of x or y depending on the intercept as 0 in the function. Therefore, the x-intercept of the function is,

y = (0)³ - 8(0)² + 17(0) - 10

y = -10

Since given that one factor of the function f(x)=x³-8x²+17x-10 is (x-5). Therefore, if the function f(x) is divided by (x-5). The quotient will be x²-3x+2.

Now, Factorising the given expression x²-3x+2.

x²-3x+2

= x² - 2x - x + 2

= x(x-2) -1(x-2)

= (x-2)(x-1)

Now, we can write the function f(x)=x³-8x²+17x-10 as y=(x-5)(x-2)(x-1). Therefore, the x-intercept of the function is,

x-intercept = 5, 2, 1

This can be verified from the graph formed below.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Answer:

27p+6r

Step-by-step explanation:

3(9p+2r)

1 Solve the product  3(9p+3 2r)

3⋅9p+3x2r

Multiply 3 times 9

27p+3x2r

Final Answer

27p+6r