Answer:
2w + 20 = 55
Step-by-step explanation:
Here is the full question
The perimeter of a rectangle with a length of 10 units is 55 units. Which equation can be used to find the width, w, of the rectangle?
w + 10 = 55
w + 20 = 55
2w + 10 = 55
2w + 20 = 55
The perimeter of a rectangle's formula is = 2 ( length + breadth)
from the question ,
perimeter is 55 and length is 10
2(10 + w) = 55
20 + 2w = 55
The equation to calculate the average rate of change is: y/x
y = f(x2) - f(x1)x = x2 - x1
x1: 1 (The smaller x value. It can be any number)x2: 2 (The larger x value. It also can be any number)f(x1): The value when you plug x1 into the function.f(x2): The value when you plug x2 into the function.
If we know this, the variables for this problem are assuming the function is 10(5.5)^x:
x2: 2x1: 1f(x2): 10(5.5)^(2) = 302.5f(x1): 10(5.5)^(1)= 55
This means:y = 302.5 - 55 = 247.5x = 2 - 1 = 1
Remember: the equation for avg rate of change is y/x
So, our average rate of change for the function on the interval [1,2] is 247.5 (y/x = 247.5/1)
Answer:
Option A
Step-by-step explanation:
With the following data, H0:p=0.35 ; Ha:p>0.35 The p-value for this hypothesis test is 0.03. The level of significance is α=0.05.
Since the p value (0.03) is less than alpha (0.05), we will reject the null hypothesis and conclude that there is sufficient evidence to conclude that the proportion of snoring events compared to other events during a sleep study is more than 35%.
Answer:
a) 0.0954
b) 0.9045
c) 0.1601
Step-by-step explanation:
We are given the following information:
We treat first-year students having computers as a success.
P(first-year students have computers) = 54.3% = 0.543
Then the number of first year students follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 3
a) P(None have computers)
b) P(At least one has a computer)
c) P(All have computers)
Answer: (4-2) + ((4-2) + 0.5) = 4.5
