2.5y + 1.1x ∠ 10
2.5y = - 1.1x +10
y = (- 1.1/2.5)x + 4
Draw this function. It's descending (m negative). All values on the left of the lines satisfy this inequality
Answer:
x=3 meters
Step-by-step explanation:
step 1
Find the area of the rectangular pool

we have

substitute

step 2
Find the area of rectangular pool including the area of the walkway
Let
x ----> the width of the walkway
we have

substitute

step 3
Find the area of the walkway
To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway
so

step 4
Find the value of x if the area of the walkway equal the area of the pool
so

Solve for x

Solve the quadratic equation by graphing
The solution is x=3 meters
see the attached figure
Answer:
Grace could have 1.36 pounds, 1.37 pounds, 1.38 pounds or 1.39 pounds of apples.
Step-by-step explanation:
Let a represent pounds of apples.
We have been given that Grace has 1.35 pounds of strawberries. She has more pounds of apples than pounds of strawberries.
This means that a is greater than 1.35. We can represent this information in an inequality as:

We are also told that Grace has 1.4 pounds of bananas. She has fewer pounds of apples than pounds of bananas. This means that a is less than 1.4. We can represent this information in an inequality as:

Upon combining both inequalities, we will get:

Therefore, Grace could have 1.36 pounds, 1.37 pounds, 1.38 pounds or 1.39 pounds of apples.
Answer:
No. There is not enough evidence to support the claim that the population standard deviation is different from $12.
Step-by-step explanation:
The null hypothesis is that the true standard deviation is 12.
The alternative hypothesis is that the true standard deviation differs from 12.
We can state:

The significance level is 0.10.
The sample size is n=15, so the degrees of freedom are:

The sample standard deviation is 9.25.
The test statistic is

The critical values for rejecting the null hypothesis are:

As T=8.32 is within the acceptance region (5.01, 24.74), the null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the population standard deviation is different from $12.