Answer:
153.94
Step-by-step explanation:
I believe it's the second answer, where "the test contains 10 3-point questions and 14 5-point questions."
Answer:
The<em> p</em>-value of the test is 0.1212.
Step-by-step explanation:
A one sample <em>z</em>-test can be performed to determine whether the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.
The hypothesis is defined as:
<em>H₀</em>: The mean hourly wage is same as the reported mean of $24.57 for the goods-producing industries, i.e. <em>μ</em> = $24.57.
<em>Hₐ</em>: The mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries, i.e. <em>μ</em> ≠ $24.57.
The information provided is:

Compute the test statistic as follows:

The test statistic value is, <em>z</em> = -1.55.
Compute the <em>p</em>-value of the test as follows:

*Use a <em>z</em>-table for the probability.
Thus, the<em> p</em>-value of the test is 0.1212.
B is the correct answer
The exponent means how many times your multiplying the number to the power of set exponent
So 6^3 is 6x6x6
Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.
<h3>What is the Area of a Sector?</h3>
Area of a sector of a circle = ∅/360 × πr²
<h3>What is the Length of an Arc?</h3>
Length of arc = ∅/360 × 2πr
Given the following:
- Radius (r) = 9 cm
- Length of arc = 6π cm
- Area of sector = kπ cm²
Find ∅ of the sector using the formula for length of acr:
∅/360 × 2πr = 6π
Plug in the value of r
∅/360 × 2π(9) = 6π
∅/360 × 18π = 6π
Divide both sides by 18π
∅/360 = 6π/18π
∅/360 = 1/3
Multiply both sides by 360
∅ = 1/3 × 360
∅ = 120°
Find the area of the sector:
Area = ∅/360 × πr² = 120/360 × π(9²)
Area = 1/3 × π81
Area = 27π
Therefore, the value of k is 27.
Learn more about area of sector on:
brainly.com/question/22972014