Answer:
Step-by-step explanation:
For the null hypothesis,
µ = 60
For the alternative hypothesis,
h1: µ < 60
This is a left tailed test
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 100,
Degrees of freedom, df = n - 1 = 100 - 1 = 99
t = (x - µ)/(s/√n)
Where
x = sample mean = 52
µ = population mean = 60
s = samples standard deviation = 22
t = (52 - 60)/(22/√100) = - 3.64
We would determine the p value using the t test calculator. It becomes
p = 0.00023
We would reject the null hypothesis if α = 0.05 > 0.00023
An example scenario is:
Anthony goes to the gym for <em>20</em> minutes on Monday. Every day he <em>multiplies</em> his gym time by <em>2</em>.
On the fifth day, he will spend spend 320 minutes in the gym.
The formula used to determine the 5th term is,
a5 = 20 x 2^(r -1)
where r is the common ratio equal to 2.
<u>Answer:</u>
143°
option c is correct!
<u>Explanation:</u>
Given:
Two angles are supplementary:
One angle = 37°
We know if two angles are supplementary their sum is equal to 180°.
Let another angle be x°
= > 37° + x° = 180
= > x° = 143°
Therefore another angle is 143°.
Volume = Length x width x height
Volume = 5 1/2 x 3 x 3 = 49.5 cubic feet
I recommend that you download photomath, it is an app that takes a photo of the equation and answers it most of the time.
