Answer:
<7 = 47, 2x - 5 + 47 = 180, x = 69
Step-by-step explanation:
<5 and <7 are vertical angles, which means that they have the same degree.
<7 + <6 = 180. <6 = 2x - 5. 2x - 5 + 47 = 180.
Solve
2x - 5 + 47 = 180
2x + 42 = 180
2x = 138
x = 69
Answer:
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Answer: Norm Alpina did better with z-score 0.79
Step-by-step explanation:
Z score formula = (raw score - mean) / standard deviation
For Jack Hartig,
score = 4; mean = 2.9; standard deviation = 2.1
Hence, Z score = (4 - 2.9) /2.1
= 1.1/2.1
= 0.52
For Norm Alpina,
score = 8; mean = 6.5; standard deviation = 1.9
Hence, Z score = (8 - 6.5) /1.9
= 1.5/1.9
= 0.79
Relatively, Norm Alpina did better for having Z score 0.79
So we have the opp and hyp, use sine.
sinx=O/H
sinx=4/7
inverse sine to isolate x.
x=sin⁻¹(4/7)
x=34.84
Answer:
Option B
Step-by-step explanation:
Given that a survey of 500 likely voters showed that 385 felt that the economy was the most important national issue.
Sample size n = 500
favor who feel the ecomomy is the most important national issue x= 385
Sample proportion = 
Sample proportion would be the point estimate for population proportion of voters who feel the ecomomy is the most important national issue.
Hence the point estimate (p-hat0 for p, the population proportion of voters who feel the ecomomy is the most important national issue
is 0.77
(option B)