Answer:
The null and alternative hypotheses are:
Under the null hypothesis, the test statistic is:
Where:
is the sample mean
is the sample standard deviation
is the sample size
Now, we can find the right tailed t critical value at 0.01 significance level for df = n-1 = 10 - 1 = 9 using the t distribution table. The t critical value is given below:
Since the test statistic is less than the t critical value, we therefore, fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the people do better with the new edition.
The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m
<h3>How to find the dimensions of the rectangle?</h3>
For a rectangle of length L and width W, the diagonal is:
Here we know that the diagonal is 169m.
And the ratio of the length to the width is 12:5
This means that:
W = (5/12)*L
Replacing all that in the diagonal equation:
So the length is 156 meters, and the width is:
W = (5/12)*156 m = 65m
Finally, the perimeter is:
P = 2*(L + W) = 2*(156 m + 65m) = 442m
If you want to learn more about rectangles:
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<u>Answer: </u>
Simplified form of given expression (2x – 9 )( x + 6 ) is 
<u> Solution:
</u>
We need to simplify following expression.
(2x – 9) ( x + 6)
For sake of simplicity lets first assume 2x – 9 = A
So expression becomes A(x+6)
= Ax + A6
Now replace A by 2x – 9
= (2x – 9 ) x + (2x – 9 ) 6
On simplification, we get
Hence simplified form of given expression (2x – 9 )( x + 6 ) is 
25a is true
25b is true
25c is false
25d is false
Answer:
In a typical kite as shown in picture, it is symmetric around PQ and PQ is perpendicular with RN.
=> Two right triangles PNT and PRT are congruent.
=> angle PRT = angle PNT = 34 deg
=> angle RPT = 90 - angle PRT = 90 - 34 = 56 deg
=> Option A is correct.
Hope this helps!
:)
