The answer is 32x+8
————
x+2
Answer:
9 and 3
Step-by-step explanation:
Let the first number be x and second number be y hence their sum
x+y=12 ......(1)
Making x the subject theb x=12-y
Three times be first number is 3x
3x-y=24.......(2)
Adding the two sets of equations then
4x=36
X=36/4=9
The second number will be 12-9=3
So the first number is 9 and second is 3
4/7 and 10/17.5
18/8 and 9/4
Proportions
2/3 and 9/12
3/8 and 6/141
7/5 and 27/20
Not a proportion
You subtract 11 from 50 and get an answer of 39,
then you add 27 from that answer to get 66
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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