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2 years ago

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in a survey 8 out of 32 students preferred vanilla ice cream if 252 students are surveyed how many should theoretically prefer v

anilla ice cream make a prediction?

1 answer:

Sphinxa [80]2 years ago

8 0

Answer:

63

Step-by-step explanation:

8 / 32 = 0.25

Multiply 0.25 with 252

0.25 * 252 = 63

This process simply applies the same ratio from the first test to the second test.

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A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven

Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y) = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$ .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$ .............(ii)

Solving (i) and (ii),

4 x (i) ⇒ 272x - 32y = 400

(ii) ⇒ (-<u>) 8x - 32y = -50 </u>

264x = 450

∴ $x=\frac{450}{264}=\frac{75}{44}$

$y=\frac{175}{88}$

So, x ≈ $ 1.70 and y = $ 1.99

R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0

2 years ago

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

Natasha2012 [34]

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

8 0

2 years ago

100x^2-4=0<br> quick pls with all work

Finger [1]

4(5x+1)(5x-1) = 0

1. Take out the GCF (in this case, 4)
4(25x^2-1) = 0

2. This can be further factored. Factor the values within the parenthesis
4(5x + 1)(5x -1) = 0

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2 years ago

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Using a computer or calculator that provides proportions falling below a specified z-score, determine the approximate proportion

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Answer: uhhhh what

Step-by-step explanation:

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2 years ago

When individuals in a sample of 150 were asked whether or notthey supported capital punishment, the following information was ob

tensa zangetsu [6.8K]

Answer:

a. distribution is uniform

Step-by-step explanation:

Given that a sample of 150 were asked whether or notthey supported capital punishment.

3)

we prepare contingency tab

Expected = 50 50 50

Chisquare = 4

chi square 2 2 0 4

p value 0.135

Since p >0.05 we accept H0

a. distribution is uniform

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2 years ago