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Stella [2.4K]
3 years ago
8

Factor z^2 – 3z – 18. A. (z + 3)(z – 6) B. (z – 3)(z – 6) C. (z + 8)(z – 10) D. (z + 2)(z – 9)

Mathematics
1 answer:
ozzi3 years ago
5 0
Work shown above! Answer would be A!

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A research group wants to know if the online platform to play Settlers of Catan is being accessed more after the stay at home or
Gre4nikov [31]

Answer:

a) The P-value is 0.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

b) Effect size d = 0.77

Medium.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the online platform was accessed significantly more so than before the stay at home order.

Then, the null and alternative hypothesis are:

H_0: \mu=1000\\\\H_a:\mu> 1000

The significance level is 0.05.

The sample has a size n=108000.

The sample mean is M=1378.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{489}{\sqrt{108000}}=1.488

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036

The degrees of freedom for this sample size are:

df=n-1=108000-1=107999

This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>254.036)=0

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

The effect size can be estimated with the Cohen's d.

This can be calculated as:

d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77

The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.

5 0
3 years ago
What is the solution set?<br> O (0-2)<br> O (2.0)<br> O (7,0)<br> O (5,3)
muminat

Answer:

D. (5,3)

Step-by-step explanation:

The solution is (x,y). so in this case, you find the point where both arrows meet.

on the x-axis, which is positive right 5, and positive 3 up, on the y-axis

3 0
2 years ago
Read 2 more answers
Given g(x) = 2x + 5, find g(1)
saul85 [17]

Answer:

g(1) =7

Step-by-step explanation:

g(x) = 2x + 5

Let x=1

g(1) = 2(1) +5

      = 2+5

       =7

4 0
3 years ago
Read 2 more answers
Tammy borrowed $5000 at a rate of 12% compounded monthly. Assuming she makes no payments, how much will she owe after 9 years?
Dominik [7]

Answer:

$14,644.63

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time </em>

<em />

First change 12% into a decimal:

12% -> \frac{12}{100} -> 0.12

Lets plug in the values:

A=5,000(1+\frac{0.12}{12})^{9(12)}

A=14,644.63

Tammy will own $14,644.63 after 8 years,

5 0
3 years ago
Write and graph exponential decay function
Anna71 [15]
P
pp is an exponential function with an initial value of
6 0
2 years ago
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