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
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Answer:
The Prime Factorization is:
2 x 2 x 5 x 5
In Exponential Form:
22 x 52
CSV Format:
2, 2, 5, 5
Answer:
Dimensions, Length = 85 feet and Width = 40 feet
Area of lawn = 3400 
Step-by-step explanation:
Given: Lawn is rectangular in shape
Length of lawn is 5 feet more than twice its breath/width
Perimeter of Lawn = 250 feet
To find: (a) Length and width of lawn
(b) Area of Lawn
First let the a variable for width/breadth. Say, Width = b.
So, the length of lawn = 2b + 5
Perimeter of Rectangle = 2 × ( length + width )
Now, substitue given values in this formula
∴ Perimeter of Lawn = 2 × ( 2b + 5 + b )

∴width = 40 feet
⇒ length = 85 feet
Now we find are of lawn using formula of area of rectangle
Area of lawn = length × width
= 85 × 40
= 3400 
Dimensions, Length = 85 feet and Width = 40 feet
Area of lawn = 3400 
Answer:
y = 1/3x - 19/3
Step-by-step explanation:
3y = x -3
y = 1/3x -3
Slope = 1/3
Point= (1,-6)
y-intercept = -6 - (1/3)(1) = -6 - 1/3 = -19/3
Answer: 3+3=9
⇔
Step-by-step explanation: three fingers to start add three fingers total of nine