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blagie [28]
2 years ago
10

Scholarship A is worth $3000 and costs $10 to apply. Scholarship B is worth $4000 and costs $25 to apply. You have a 5% chance o

f receiving Scholarship A and a 1% chance of receiving Scholarship B.
(a) What is your expected value for Scholarship A?

$
Mathematics
1 answer:
fomenos2 years ago
3 0

Answer:

$140

Step-by-step explanation:

Given:

P(getting scholarship A)=0.05

P(getting scholarship B)=0.01

E(value of scholarship A)=0.05 ( 3000-10)+ 0.95(-10)

                                        =$140

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Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 90% confidence level, hence\alpha = 0.9, z is the value of Z that has a p-value of \frac{1+0.9}{2} = 0.95, so the critical value is z = 1.645.

The sample size and the estimate are given by:

n = 600, \pi = \frac{400}{600} = 0.6667

Hence, the bounds of the interval are given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984

The 90% confidence interval is given by: (0.6350, 0.6984).

More can be learned about the z-distribution at brainly.com/question/25890103

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Answer:

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Domain = [3, infinity)

Step-by-step explanation:

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Answer:

So for a quadratic function, the axis of symmetry is the line that divides the curved line in the middle, which is the h value, it can be found by using the formula -b/2a, so for here it would be 4/2(1) = 2, so x =2

Hope that answers your question

Step-by-step explanation:

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