Answer:
1008
Step-by-step explanation:
10!•4!
---------
6!•5!
Rewriting as
10 * 9*8*7*6! * 4!
---------
6!•5*4!
Canceling like terms
10 * 9*8*7
---------
5
1008
Answer:
42.7 m
Step-by-step explanation:
The Circumference of a circle is found by multiplying the radius of the circle by 2π. Here the radius is 6.8 m. The circumference of this circle is
C = 2π(6.8 m) = 13.6π m, or (to 1 decimal place, 42.7 m.
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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Is there a graph for this problem?
I am not sure, but we're you going to put up a sum.
