Answer:
5^4
Step-by-step explanation:
when dividing by powers subtract the denominator from the numerator
Answer:
Question 1 is, the blue figure is larger than the red figure
Question 2 is, the red and the blue figure are equal
Find the answer that best represents that
Complete question is;
Suppose we are testing the null hypothesis H0: μ = 20 and the alternative Ha: μ ≠ 20, for a normal population with σ = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is x¯ = 17.6. The P-value is closest to:
a. 0.0668.
b. 0.0082.
c. 0.0164.
d. 0.1336
Answer:
Option D
Step-by-step explanation:
We are given;
Null hypothesis; H0: μ = 20
Alternative hypothesis; Ha: μ ≠ 20
Population Standard deviation; σ = 5
Sample size; n = 25
Sample mean; x¯ = 17.6
Let's find the z-score from the formula;
z = (x¯ - μ)/(σ/√n)
z = (17.6 - 20)/(5/√5)
z = - 1.073
From online p-value from z-score calculator attached, using z = -1.073; two tailed hypothesis; significance value of 0.05,we have;
The P-Value is 0.283271.
Looking at the given options, the closest to the p-value is option D
Angle DOC is a vertical angle to AOB. Since this is a central angle, arc AB is 50.
Angles AOE, EOD, and DOC are supplementary. 180 - 60 - 50 = 70. Angle AOE is also central, so arc AE is 70.
All arcs combined add to 360, so 360 - 70 - 50 = 240 (we subtracted every other arc besides ECB, which is 240.)
We know angle BOC is vertical to the sum of AOE and EOD, so 60+ 70 = 130. Angle BOC is 130.
Answer:
Step-by-step explanation:
First of all, I can't think of a single exception to this, but when you rotate a figure, the two figures are congruent If all you do is rotate it.
2y/2 = 5/2 Divide both sides by 2
y = 5/2
y = 2.5
2x = 67 degrees Divide both sides by 2.
2x/2 = 67/2 x = 33.5
3w + 3 =12 Subtract 3 from both sides
3w + 3 -3 = 12-3 Combine
3w = 9 Divide by 3
w = 9/3
w = 3
