<u><em>A muffin each cost 1.25 each.</em></u>
<u><em>Hope this helps!</em></u>
<u><em>:)</em></u>
Answer:
The test statistic (z-score) of this one-mean hypothesis test is z=1.823.
Step-by-step explanation:
The null and alternative hypothesis are:

The significance level is 0.05.
The sample size is n=22.
The sample mean is M=157.
The standard deviation is 18.
The z-score can be calculated as:

The test statistic (z-score) of this one-mean hypothesis test is z=1.823.
We have to simplify the given expression:

Dividing the terms of the numerator by the given term of denominator individually, we get
= 
By using the laws of exponent,
, we get
= 
= 
= 
= 
Therefore, the simplification of the given expression is
.
So, Option 3 is the correct answer.
<u>Answer:</u>
<h2>A = 15 u²</h2>
<u>Explanation:</u>
according to the coordinates the triangles is right at the pair (2, -3)
the area of the triangle = height × base × 1/2
the <u>height</u> is the line passing through the pairs (-1, 6) and (2, -3)
h² = (2-(-1))²+(-3-6)²
h² = 3² + (-9)²
h² = 9 + 81
h² = 90
h = √90
the <u>base</u> is the line passing through the pairs (5, -2) and (2, -3)
b² = (2-5)²+(-3-(-2))²
b² = 3² + (-3+2)²
b² = 9 + 1
b² = 10
b = √10
A = h×b×1/2
A = √90×√10×1/2
A = √900×1/2
A = 30×1/2
A = 15 u²
The area is 448.5
(13 × 29) + (11 × 13)1/2