Answer:
Step-by-step explanation:
A direct variation suggest that the value of x in the equation would greatly affect the value of y such that when x is increasing, y also increases and the other way around. The equation for a direct variation is that,
y = kx
Substituting the given values in the ordered pair,
5 = k(4) ; k = 5/4
Answer:
Yes, he is meeting his original goal to be successful.
The critical value is 1.833
Step-by-step explanation:
H0: mu = 300
Ha: mu > 300
The test is a one-tailed test because the alternate hypothesis is expressed using greater than.
Test statistic (t) = (sample mean - population mean) ÷ (sample sd/√n)
sample mean = 335
population mean = 300
sample sd = 50
n = 2×5 = 10
t = (335 - 300) ÷ (50/√10) = 35 ÷ 15.81 = 2.21
Degree of freedom = n-1 = 10-1 = 9
Significance level = 5%
Critical value corresponding to 9 degrees of freedom and 5% significance level is 1.833.
Conclusion:
Reject the null hypothesis because the test statistic 2.21 is greater than the critical value 1.833.
His original goal to be successful is contained in the alternate hypothesis, therefore, he is meeting it.
Answer:
16 feet in length.
Step-by-step explanation:
In this situation, you are given the area and the width of the full carpet, furthermore, you must reverse the formula for area to find the length, as so:
<u>Area Formula</u>: A=<em> l • w</em>
<u>Given</u>: 136= <em>l</em> • 8.5
<em>l</em> = 136 ÷ 8.5
<em>l</em> = 16 feet
I hope this was helpful!
Answer:
wedsadwadswds
Step-by-step explanation:
