Answer:
m=22.5
Step-by-step explanation:
m is proportional to n means there is some constant k such that:
m=kn
If m=5 when n=4 then we have the following equation to solve for our constant k:
5=k(4)
5=4k
Divide both sides by 4:
5/4 =k
So k=5/4 no matter what (m,n) pair they give you where the equation is m=kn.
m=(5/4)n
What is m when n=18?
m=(5/4)(18)
m=(5/2)(9)
m=45/2
m=22.5
59.9%
Sorry I don’t have time to explain in the middle of an exam
Is this suppose to be for elementary because I'm in middle school and I got 900 2^2*3^2*5^2=900
Answer:
x=-9
Step-by-step explanation:
Answer:
Yes, there is sufficient evidence to conclude that performance on the problem solving task is lowered by having onlookers.
Step-by-step explanation:
Null hypothesis: The performance on the problem solving task is lowered by having onlookers.
Alternate hypothesis: The performance on the problem solving task is not lowered by having onlookers.
Test statistic (t) = (sample mean - population mean) ÷ (sample sd/√n)
sample mean = 89.8
population mean = 89.1
sample sd = √sample variance = √84.6 = 9.198
n = 21
Degree of freedom = n-1 = 21-1 = 20
Assuming a 5% significance level
The test is a two-tailed test. Critical values corresponding to 20 degrees of freedom and 5% significance level are -2.086 and 2.086
Test statistic (t) = (89.8 - 89.1) ÷ (9.198/√21) = 0.7 ÷ 2.007 = 0.349
Conclusion:
Fail to reject the null hypothesis because the test statistic 0.349 falls within the region bounded by the critical values.
There is sufficient evidence to conclude that performance on the problem solving task is lowered by having onlookers.
