Answer:
14 and 14
Step-by-step explanation:
this is because it is a isosceles triangle and it has a specific rule.
Answer:
The measurement of x is 106° and the measurement of y is 74°.
Step-by-step explanation:
The definition of an isosceles trapezoid is a trapezoid that has two pairs of congruent base angles. One pair at the top and the other pair at the bottom.
When you look at the trapezoid, you are given an angle. This angle measures 74°. Since base angles are congruent in an isosceles trapezoid, then the measurement of y is also 74°.
Another thing about isosceles trapezoids and all trapezoids is that they all have an interior angles sum of 360°. Interior means all of the angles inside the shape. So, since we know the bottom base angles both have a measurement of 74°, then we can add these angles together.
74 + 74 = 148
Now, we subtract 148 from 360 so we can find the measurement of x.
360 - 148 = 212
Now since there are two top base angles, then we will divide 2 from 212.
212 ÷ 2 = 106
So, the measurement of x is 106°.
Answer:
C. H0 : p = 0.8 H 1 : p ≠ 0.8
The test is:_____.
c. two-tailed
The test statistic is:______p ± z (base alpha by 2) 
The p-value is:_____. 0.09887
Based on this we:_____.
B. Reject the null hypothesis.
Step-by-step explanation:
We formulate null and alternative hypotheses as proportion of people who own cats is significantly different than 80%.
H0 : p = 0.8 H 1 : p ≠ 0.8
The alternative hypothesis H1 is that the 80% of the proportion is different and null hypothesis is , it is same.
For a two tailed test for significance level = 0.2 we have critical value ± 1.28.
We have alpha equal to 0.2 for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28
The test statistic is
p ± z (base alpha by 2)
Where p = 0.8 , q = 1-p= 1-0.8= 0.2
n= 200
Putting the values
0.8 ± 1.28 
0.8 ± 0.03620
0.8362, 0.7638
As the calculated value of z lies within the critical region we reject the null hypothesis.
Answer:
w = -16
Step-by-step explanation:
w + (-2) = -18
Add 2 to each side
w-2+2 = -18+2
w = -16
3 x 3 x 3 x 3 x 23 = 1,863. It can also be written in exponential form as 3 to the power of four times 23.
