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EastWind [94]
3 years ago
12

A college administrator states that the average high school GPA for incoming freshman is normally distributed with a mean equal

to 3.30 and a standard deviation equal to .20. If students with a GPA in the top 10% will be offered a scholarship, then what is the minimum GPA required to receive the scholarship?
Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer:

Step-by-step explanation:

First, we get the z score from the given left tailed area. As

Left tailed area = 1 - 0.10 = 0.9

Then, using table or technology,

z = 1.281551566

As x = u + z * s,

where

u = mean = 3.3

z = the critical z score = 1.281551566

s = standard deviation = 0.2

Then

x = critical value = 3.556310313

You might be interested in
Twenty more than twice a number of x
katen-ka-za [31]

Answer:

2x+20

Step-by-step explanation:

You take 2x because twice a number of x. Then you take 20 cause you have more.

7 0
3 years ago
You need to test a claim that more than 18% of students at your campus do not know their blood types. Which sampling method woul
DerKrebs [107]

Given that:

p = 18\% ---- i.e. the proportions that do not know their blood group

There are several sampling methods, however the best sampling method to use in this case is a simple random sampling.

This is because it gives each student in the campus an equal chance of being selected to participate.

The sample would be collected from the population of students in the school campus.

From the question, given proportion is about the students in the campus. So, the sample to be selected must represent the case study, which are the students

The chosen sample would be used by conducting a test of hypothesis

To carry out this test, we need to set the null and alternate hypotheses.

Then calculate the critical value.

Then the test statistic.

How the test statistic compares to the critical value will determine if the null hypothesis will be accepted or rejected

Further reading:

brainly.com/question/22850174

6 0
2 years ago
Tommy is thinking about entering a contest at the local gas station. Some of Tommy’s
Ede4ka [16]

Answer:

(a)1 out of 4.

(b)27%

(c)0.73 or 73%

Step-by-step explanation:

Tommy’s probability of winning is given as 0.27.

(a)Ratio Form

0.27=\frac{27}{100} =27:100\\$Divide both sides of 27:100 by 27\\This gives:\approx 1:4

Therefore, the probability that Tommy will win is <u>1 out of 4.</u>

(b)Exact Percent Value

Multiply the probability by 100 to obtain the exact percent value.

0.27 X 100=27%

(c)Probability that Tommy will not win.

Probability that Tommy will win+Probability that Tommy will not win=1

0.27+Probability that Tommy will not win=1

Probability that Tommy will not win=1-0.27

Probability that Tommy will not win=0.73

5 0
3 years ago
Consider the fraction 13/40
tresset_1 [31]

Answer:

A- .325   B- Terminating

Step-by-step explanation:

a. 13/40=.325

B. Since bar natation is unecessary, the decimal is terminating

6 0
2 years ago
Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method?
Arisa [49]

The required steps are explained below to convert the quadratic function into a perfect square.

<h3>What is the parabola?</h3>

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the quadratic function be y = ax² + bx + c.

The first step is to take common the coefficient of x². We have

\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c

Add and subtract the half of the square the coefficient of x,

\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c

Then we have

\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c

These are the required step to get the perfect square of the quadratic function.

More about the parabola link is given below.

brainly.com/question/8495504

#SPJ1

3 0
2 years ago
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