Answer:
27ft^3
Step-by-step explanation:
3^3 is 27
Answer:
Option D) There is sufficient evidence that the true population proportion is not equal to 70%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1165
p = 70% = 0.7
Alpha, α = 0.02
Number of people who agreed , x = 746
First, we design the null and the alternate hypothesis
This is a two-tailed test.
Formula:
Putting the values, we get,
Now,
Since,
Since, the calculated z statistic does not lie in the acceptance region, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there is enough evidence to support the claim that the true proportion differs from 70%.
Option D) There is sufficient evidence that the true population proportion is not equal to 70%.
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let w represent the width, hence:
length = w + 33, height = w - 13
Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w
V(w) = w³ + 20w² - 429w
Rate of change = dV/dw = 3w² + 40w - 429
When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423
When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118
Rate = 10118 - 5423 = 4695 in³/in
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
Find out more on equation at: brainly.com/question/2972832
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Answer:
y=-35
Step-by-step explanation:
The relationship between the values of x and y is multiplying by -5.
Therefore, when x equals 7, y is -35.
Just a splendiferous teen,
who listens to "Fight Song,"
stay salty...
Step-by-step explanation:
the one on the left (b)
y= mx+b
at x= 0 y = -2
then b= -2
at x= -1 y= 1
1= -m -2
m= -3
y= -3x -2
......
the one on the right side (d)
at x= 2 y = 1
at x= 4 y = 2
1= 2m+b
2= 4m +b
subtract
1= 2m
m= 1/2
y= 1/2 x