Answer:
9 inches by 12 inches
Step-by-step explanation:
So let's say <em>L</em>=length and <em>W</em>=width.
Since the problem states that the length should be 3 inches longer than the width, <em>L</em><em>=</em><em> </em>W+3
And the formula to find the perimeter of a rectangle is 2L+2W
so plug in W+3 for L and you get 2(W+3)+2W
Then distribute
2W+6+2W
Combine like-terms
4W+6
And the problem states the perimeter is 42 inches so,
4W+6=42
Subtract 6 to both sides
4W=36
Divide by 4 to both sides
W=9
So the width is 9
And to get the length, plug in 9 for W in L=W+3
L=9+3
L=12
So the length is 12
<span>This is no a reasonable statement. While 255,113 is rounded to the nearest 100,000 (300,000), this does not really provide an accurate estimate because the value is 55,000 off. A more reasonable estimate would be 250,000 or 260,000 people living in the city.</span>
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 17
For the alternative hypothesis,
µ < 17
This is a left tailed test.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 80,
Degrees of freedom, df = n - 1 = 80 - 1 = 79
t = (x - µ)/(s/√n)
Where
x = sample mean = 15.6
µ = population mean = 17
s = samples standard deviation = 4.5
t = (15.6 - 17)/(4.5/√80) = - 2.78
We would determine the p value using the t test calculator. It becomes
p = 0.0034
Since alpha, 0.05 > than the p value, 0.0043, then we would reject the null hypothesis.
The data supports the professor’s claim. The average number of hours per week spent studying for students at her college is less than 17 hours per week.
You multiply radius by 3.14 by the height if you plug it in your equation is 8×3.14×15 which equals 1005.31 which rounds to 1005, the answer is 1005! :D
