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KATRIN_1 [288]
3 years ago
6

A survey found that 8 out of 10 parents approved of the new principal’s performance. If 4 parents name are chosen with replaceme

nt what is the probability they all approve of the principal’s performance
Mathematics
1 answer:
Natasha2012 [34]3 years ago
8 0

Answer:

The probability is 0.044

Step-by-step explanation:

Step-by-step explanation:

Let p be the probability that the new principal’s performance is approved.

This is obtainable from the survey and it is 8/10 = 0.8

Let q be the probability that the new principal’s performance is disproved.

That will be;

1 - q = 1- 0.8 = 0.2

To calculate the probability that 14 parents names are chosen at random and they all

approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.

That will be;

14C14 * p^14 * q^0

= 1 * 0.8^14 * 0.2^0

= 0.043980465111 which is approximately 0.044

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What percent of 95 is 74
Softa [21]
74 is what percent of 95?


74 is P% of 95


Equation: Y = P% * X


Solving our equation for P

P% = Y/X

P% = 74/95

p = 0.7789

Convert decimal to percent:

<span>P% = 0.7789 * 100 = 77.89%
</span>

Hope I helped!

Let me know if you need anything else!

~ Zoe
7 0
4 years ago
1. Wendy wants to find the width, AB, of a river. She walks along the edge of the river 300 ft and marks point C. Then she walks
Ierofanga [76]

It can be deduced that the triangles are similar because the three internal angles are equal for both triangles.

<h3>How to solve the triangle?</h3>

It should be noted that the triangles are similar because the three internal angles are equal.

In this case, the ratio of the corresponding sides are equal and the corresponding angles are congruent.

The width of the river will be:

300/80 = AB/50

AB = (300 × 50)/80

AB = 187.50 feet.

Learn more about triangles on:

brainly.com/question/17335144

7 0
3 years ago
Tia is making lemonade for a baseball tournament. The recipe calls for 2/3 cup of strawberries for each gallon of lemonade. She
antoniya [11.8K]

Given:

The recipe calls for \dfrac{2}{3} cup of strawberries for each gallon of lemonade.

Tia has 6 cups of strawberries.

To find:

The number of gallons of lemonade she can make.

Solution:

We have,

\dfrac{2}{3} cup of strawberries for = 1 gallon of lemonade

1 cup of strawberries for = \dfrac{1}{\frac{2}{3}} gallons of lemonade

                                        = 1\times \dfrac{3}{2} gallons of lemonade

                                       = \dfrac{3}{2} gallons of lemonade

6 cup of strawberries for = 6\times \dfrac{3}{2} gallons of lemonade

                                         = \dfrac{18}{2} gallons of lemonade

                                        = 9 gallons of lemonade

Therefore, 9 gallons of lemonade she can make by using 6 cups of strawberries.

7 0
3 years ago
Yen had 19 songs on his mp3 player. he downloaded 9 more songs today, and then he decided to split them all equally among 4 play
ella [17]
7 songs in each playlist

3 0
3 years ago
Tonya took out a loan to help pay for her house. She borrowed $70,000 for 15 years at a yearly simple interest rate of 5%. How m
saveliy_v [14]
Option C is correct.

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3 years ago
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