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Troyanec [42]
3 years ago
8

Acceptance into an acting workshop is highly competitive. Last year, only 2 out of every 15 applicants were accepted into the wo

rkshop. This year, the workshop accepted 40 of 600 possible applicants. Compare this year's acceptance rate that of last year's rate. Is this year's acceptance rate higher than, lower than, or equal to last year's acceptance rate? Explain your reasoning.
Mathematics
1 answer:
hjlf3 years ago
7 0

Answer:

This year's acceptance rate is lower than last year's

<em />

Step-by-step explanation:

Given

Last year: 2 out of every 15 are accepted

This year: 40 out of 600 are accepted

Required

Compare both rates.

The rate is calculated by dividing the accepted applicants by total applicants.

For last year:

Rate = \frac{2}{15}

Rate = 0.133

For this year:

Rate = \frac{40}{600}

Rate = 0.067

By comparison

0.067 is less than 0.133.

<em>Hence, this year's acceptance rate is lower than last year's</em>

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110 meters of fencing are used to fence a rectangular pasture of 750 square meters of farmland. If the length of the pasture is
omeli [17]

Answer:

<h3>25m</h3>

Step-by-step explanation:

Perimeter of the rectangular pasture P = 2(L+W)

Area A = LW

L is the length

W is the width

Given

Perimeter = 110m

Area = 750m

If the length of the pasture is 40m longer than the width, then L = W+40

110 = 2L+2w

55 = L+W .....1

750 = LW.....2

Solving simultaneously

from 1; L = 55-W

substitute into 2;

750 = (55-W)W

750 = 55W-W²

-W²+55W -750 = 0

W²-55W+750 = 0

(W²-25W)-(30W+750) = 0

W(W-25)-30(W-25) = 0

(W-25)(W-30) = 0

W-25 = 0 and W-30 = 0

w = 25m and 30m

Since L = 55-W

L = 55-25 = 30m and;

L = 55-30 = 25m

Since we are told that length id longer than the width then, the width we are going to use is 25m

7 0
3 years ago
how do the graphs of f(x) = sin x and g(x) = sin2x+3 compare. Must make two selections of the following that apply.
Elena L [17]

Answer:

The correct options are:

  • g(x) is shifted three units higher than f(x).
  • g(x) has a period that is half the period of  f(x).

Step-by-step explanation:

We have to compare the graphs of the function:

f(x)=\sin x

and g(x)=\sin 2x+3

We have to select the correct options among the following:

As we know that the period of sine function is 2π.

i.e. Period of function f(x) is: 2π.

The period of sin(2 x) is π.

Hence, the period of the function g(x) function is π.

  • Hence, the period of g(x) is half the period of f(x).
  • Also we could observe that g(x) is shifted 3 units upward.

3 0
4 years ago
Read 2 more answers
10 In 0.5 seconds, a projectile goes from 0 to 300 m/s. What is the acceleration of the projectile?
vredina [299]

Answer: 600 m/s^2

Step-by-step explanation:

Use the first kinematic equation

V_f=V_i+at\\300=0+a(0.5)\\a=600m/s^2

3 0
3 years ago
Brainliest goes to whoever answers correctly
Natasha2012 [34]

Answer:

1/9

Step-by-step explanation:

6/9 is 1/9th bigger than 5/9

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3 years ago
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HELP ASAP<br> IM NOT SURE IF WHAT I WROTE IS CORRECT
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Answer:

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Step-by-step explanation:

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