Answer:
x=3
Step-by-step explanation:
8:6=4:x
8x=24
x=3
4x + 2 = -14
4x = -16
x = -4
4(-4) + 2 = -14
-16 + 2 = -14
-14 = -14
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At 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
<h3>How to state hypothesis conclusion?</h3>
We are given;
Sample size; n = 78
population standard deviation σ = 37
Sample Mean; x' = 280
Population mean; μ = 287
The school administrator declares that mean score is more (bigger than) 280. Thus, the hypotheses is stated as;
Null hypothesis; H₀: μ > 280
Alternative hypothesis; Hₐ: μ < 280
This is a one tail test with significance level of α = 0.13
From online tables, the critical value at α = 0.13 is z(c) = -1.13
b) Formula for the test statistic is;
z = (x- μ)/(σ/√n)
z = ((280 - 287) *√78 )/37
z = -1.67
c) From online p-value from z-score calculator, we have;
P[ z > 280 ] = 0.048
d) The value for z = -1.67 is smaller than the critical value mentioned in problem statement z(c) = - 1.13 , the z(s) is in the rejection zone. Therefore we reject H₀
e) We conclude that at 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
Read more about Hypothesis Conclusion at; brainly.com/question/15980493
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Answer:
1/2
Step-by-step explanation:
The red markings is not clear but I think the larger one is triangle DEF, if not, then the answer is 2
Answer:
6.244
Step-by-step explanation:
Reverse pythagreon therom since it is told that a2+b2=c2
you would have 5^2+b^2=8^2
it would end up being
25+b^2=64
go to the other side and sub 25 to 64
then you should get
b^2=39
then square it
b= 6.2449
