Which table shows a no change linear relationship?Which table shows a no change linear relationship?

e chairman of the statistics department in a certain college believes that 70% of the department’s graduate assistantships are g

8_murik_8 [283]

Answer:

38.46% probability that the sample proportion will NOT be between 0.60 and 0.73

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For a proportion p in a sample of size n, we have that $\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.7, n = 50$

So

$\mu = 0.7, \sigma = \sqrt{\frac{0.7*0.3}{50}} = 0.0648$

What is the probability that the sample proportion will NOT be between 0.60 and 0.73?

This is 1 subtracted by the probability that it is between 0.6 and 0.73.

Probability it is between 0.6 and 0.73

pvalue of Z when X = 0.73 subtracted by the pvalue of Z when X = 0.6. So

X = 0.73

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.73 - 0.7}{0.0648}$

$Z = 0.46$

$Z = 0.46$ has a pvalue of 0.6772

X = 0.6

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{0.6 - 0.7}{0.0648}$

$Z = -1.54$

$Z = -1.54$ has a pvalue of 0.0618

0.6772 - 0.0618 = 0.6154

NOT be between 0.60 and 0.73?

1 - 0.6154 = 0.3846

38.46% probability that the sample proportion will NOT be between 0.60 and 0.73

5 0

4 years ago

The elephant is in danger of being completely wiped out. What sort of species is

xeze [42]

Answer:

Endangered species

Step-by-step explanation:

An endangered species is a species that is at risk of extinction due to rapid decrease in their population .Their decrease in population might be due to loss of habitat and genetic variation. The loss of habitat might be due to natural factors like the climate change For example animals like dinosaurs during the cretaceous period that experience rapid change in the climate loss their habitat and went extinct.

Human activity can also influence loss of habitat. Development in housing , agriculture and industry can also threaten the habitats of native organisms. The loss of their habitat might cause sudden extinction of these organisms. They might find it hard to adapt to another environment or even procreate.

Generally, endangered species are species that are threatened by extinction. Elephants that are in danger of been wiped out is an endangered species.

3 0

3 years ago

Helpppp I need help.

Inessa05 [86]

<h3>Answer to Question 2:</h3>

The answer to question 2 is 8x - 37

Step-by-step explanation:

Firstly, do the distributive property to simplify the terms within the bracket.

4(2x + 10) -3 ---> 8x + 40 - 3

Next, combine like terms

8x + 40 - 3 ---> <u>8x - 37</u>

<h3>Answer to Question 3:</h3>

The answer to question 3 is 6(4c−3)

Step-by-step explanation:

Firstly, find the largest shared factor of 24 and 18, in the equation 24c−18

24: 1,2,3,4,6,8,12,24

18: 1,2,3,6,9,18

The largest between both of them is 6.

Next Step, divide both terms in the equation by 6.

24c−18 ---> 4c-3

Lastly, add brackets add a 6 on the outside of them.

4c-3 ---> 6(4c-3)

6 0

3 years ago

Read 2 more answers

Is 12 a prime number?

shtirl [24]

Answer:

no

Step-by-step explanation:

Prime numbers are numbers only divisible by 1 and themselves. 12 is divisible by 6 and 2 and 3 and 4

8 0

3 years ago

Read 2 more answers

Create an exponential function, and then create a second exponential function that shifts your original function down 7 units

nataly862011 [7]

Answer:

A general exponential function is written as:

f(x) = A*e^(k*x)

Where A and k are real numbers.

Because we want to "create" a exponential function, we must assign numbers to A and k, let's assign:

A = 1

k = 1

then our function is just:

f(x) = e^(x)

Now we want to shift down 7 units.

So let's describe a general vertical shift.

For a general function f(x), a vertical shift is written as:

g(x) = f(x) + N

if N is positive, the shift is upwards

if N is negative, the shift is downwards.

Here we want to have a shift down of 7 units, then we would write:

g(x) = f(x) - 7

Replacing by the actual function f(x) we get:

g(x) = e^x - 7

Below you can see the graphs of both functions:

Where the orange one is f(x) and the purple one is g(x).

7 0

3 years ago