Answer:
14 cm
Step-by-step explanation:
Given:
A mug can hold 13.46 oz of coffee.
The radius of the mug is 3 cm.
Given that 1
equals 0.034 oz.
Question asked:
What is the height of the mug to the nearest centimeter ?
Solution:
Given that 1
equals 0.034 oz.
By unitary method:
0.034 oz = 1 
1 oz = 
13.46 oz =
A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88
. Now we can find the height of the mug by using volume of cylinder formula:
volume of cylinder = 

By cross multiplication:

By dividing both side by 198

Therefore, height of the mug to the nearest centimeter is 14 cm.
Answer:
60 degrees
Step-by-step explanation:
Answer:y=5x
Step-by-step explanation:
B
Answer:

Step-by-step explanation:
The number of parrots in t years after 2010 can be modeled by the following function:

In which P(0) is the number of parrots in 2010 and r is the growth rate, as a decimal.
608 parrots in the forest in 2010.
This means that 
Then

When the scientists went back 5 years later, they found 4617 parrots.
This means that 
We use this to find 1 + r. So



![1 + r = \sqrt[5]{\frac{4617}{608}}](https://tex.z-dn.net/?f=1%20%2B%20r%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B4617%7D%7B608%7D%7D)

So

Answer:
Th computed value of the test statistic is 3.597
Step-by-step explanation:
The null and the alternative hypothesis is as follows:
Null Hypothesis:
the population correlation coefficient is equal to zero
the population correlation coefficient is not equal to zero
The test statistics for Pearson correlation coefficient is thus computed as :

where;
r = correlation coefficient = 0.60
n = sample size = 25
So;



t = 3.597
Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069
Decision Rule:
Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.
Conclusion:
We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.