7.5 is the answer have a good day
Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, hence:

At the alternative hypothesis, it is tested if they are different, hence:

<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:

In which
is the value tested at the null hypothesis.
Hence:


z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
#SPJ1
Answer:
The interest rate of Jess's account was 7%
Step-by-step explanation:
A = P * (1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Replacing with the values we know:
A = P * (1 + rt)
8,150 = 5,000 * (1 + r * 9)
8,150/5,000 = 1 + 9r
1.63 = 1 + 9r
1.63 - 1 = 9r
0.63 = 9r
r = 063/9
r = 0.07 = 7%
The interest rate of Jess's account was 7%
Answer:
A) 
B) 
C) 
Step-by-step explanation:
Given the exponential expression,
:
A)
is equivalent to
due to the Product Rule of exponents:
.
Next, apply the Power-to-Power Rule of exponents:
.
B)
is equivalent to
due to the Power-to-Power Rule of exponents:
.
.
C)
is equivalent to
due to the Product-to-Power Rule of exponents:
.
Step-by-step explanation:
(x10,y-2), reflection over y=1