Answer:
The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance
Null hypothesis is accepted at 0.05 level of significance
A company has developed a training procedure is significantly improve scores
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given sample mean (x⁻ ) = 517
sample standard deviation (s) =90
Mean of the Population (μ) =500
<em>Null Hypothesis :- H₀ : </em> (μ) =500
Alternative Hypothesis : H₁ : μ ≠ 500
<u><em>Step(ii)</em></u>:-
Test statistic
t = 1.717
<em>Level of significance</em>
∝ = 0.05
t₀.₀₅ = 1.6604
The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance
<u><em>Conclusion</em></u>:-
Null hypothesis is accepted at 0.05 level of significance
A company has developed a training procedure is significantly improve scores
Answer:
1. 8.4 in 2. 33.6
Step-by-step explanation:
All you have to do is add 399 to 10 and then multiply by ten. Then you get 199 and multiply by .08 and multiply that by ten. Then you subtract.
Part (A)
We have n = 5 sides, so the measure of any exterior angle of a regular pentagon is E = 360/n = 360/5 = 72
Each interior angle is therefore 180-E = 180-72 = 108 degrees.
---------------
Alternatively, you could use the formula below with n = 5
i = interior angle
i = 180(n-2)/n
i = 180(5-2)/5
i = 180(3)/5
i = 540/5
i = 108
---------------
<h3>Answer: 108 degrees</h3>
====================================================
Part (B)
We're told that CDF is 70 degrees. From part (A) we know that angle CDE is 108 degrees, so this must mean that angle EDF is 108-70 = 38 degrees.
Similarly, angle FEA is 85 degrees, which subtracts from angle AED to get 108 - 85 = 23 degrees. This is the measure of angle DEF.
So far we found
angle EDF = 38
angle DEF = 23
Let's call these x and y for shorthand. Let z be the missing third angle of triangle DFE.
So,
x+y+z = 180
38+23+z = 180
61+z = 180
x = 180-61
x = 119
Interior angle DFE is 119 degrees.
Note how 90 < x < 180 showing we have an obtuse angle. It is not a reflex angle because the statement 180 < x < 360 is false.
So we subtract the value of x from 360
360-x = 360-119 = 241
This is the reflex angle DFE
---------------
<h3>Answer: 241 degrees</h3>
Answer:
<em>Option D: 159 3/8 cm^3 </em>
Step-by-step explanation:
1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3
2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ <em>Base * height = length * width * height</em>
3. Substitute and compute the volume through algebra:
5 cm * 8 1/2 cm * 3 3/4 cm =
5 cm * 17/2 cm * 15/4 cm =
85/2 cm^2 * 15/4 cm =
1275/8 cm^3 =
<em>159 3/8 cm^3</em>
4. This means that the<em> Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)</em>
