The answer is A
Have to add characters to get to 20
Answer:
y = 15
Step-by-step explanation:
In a parallelogram, opposite lengths are equal.
So it means that the length (5y - 20) is equal to (2y + 25).
Now that there is only one variable in the equation, we can solve for the variable.
5y - 20 = 2y + 25
5y - 2y = 25 + 20
3y = 35
y = 15
Answer:
c. The Mean of Normal Distribution is related to the average of the data set. The Standard deviation is related to data variation.
Step-by-step explanation:
(a) No, mean don't tell us how much the data deviate from the average, Standard deviation tells us. So, Option (a) is incorrect.
(b) No, mean is greatly affected by extreme values. But Median is good to measure central tendency when there is outlier present in data. So, Option (b) is also incorrect.
(c) Here Mean and Standard deviation are correctly defined. Hence, this is only the correct answer.
(d) No, It is the definition of mean not of Standard Deviation. So, this option is also incorrect.
Further, Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.
Answer:
When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times
Step-by-step explanation:
We have that the formula for the volume of a cone is:
Vc = pi * (r ^ 2) * h
We first calculate the original volume, where the radius is 2 and the height is 9, replacing:
Vc = 3.14 * (2 ^ 2) * 9
Vc = 113.04
Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:
Vc = 3.14 * (6 ^ 2) * 9
Vc = 1017.36
If we compare:
1017.36 / 113.04 = 9
This means that when the radius is tripled, the volume increases 9 times.
When if re reduces to a third the radius would be: 2/3, replacing:
Vc = 3.14 * ((2/3) ^ 2) * 9
Vc = 12.56
113.04 / 12.56 = 9
Which means that by reducing it to a third the volume becomes 9 times smaller.
According to the rate of change, it is found that the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
<h3>What is the average rate of change?</h3>
The average rate of change of a function is given by the <u>change in the output divided by the change in the input.</u>
In this problem, it is stated that at the top of the mountain, the average rate of change is of -2.5 ºC per hour, and at the bottom of the mountain the rate is the same, hence the hourly rate of temperature change at the bottom of the mountain was of -2.5 ºC per hour.
You can learn more about average rate of change at brainly.com/question/26420851
