Answer:
16,244.26
Step-by-step explanation:
14,187.13 + (14.5% × 14,187.13) =
14,187.13 + 14.5% × 14,187.13 =
(1 + 14.5%) × 14,187.13 =
(100% + 14.5%) × 14,187.13 =
114.5% × 14,187.13 =
114.5 ÷ 100 × 14,187.13 =
114.5 × 14,187.13 ÷ 100 =
1,624,426.385 ÷ 100 =
16,244.26385 ≈
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➷ Just subtract the two values:
14.5 - 13.71 = 0.79
He had 0.79 feet of wire left
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The inequality is t < 55
<em><u>Solution</u></em><em><u>:</u></em>
Given that, To qualify for the championship a runner must complete the race in less than 55 minutes
Let "t" represent the time in minutes of a runner who qualifies for the championship
Here it is given that the value of t is less than 55 minutes
Therefore, "t" must be less than 55, so that the runner qualifies the championship
<em><u>This is represented by inequality:</u></em>

The above inequality means, that time taken to complete the race must be less than 55 for a runner to qualify
Hence the required inequality is t < 55
Option D
Using the distributive property, -7(8x – 3) + x = -55x + 21
<em><u>Solution:</u></em>
Given that we have to use distributive property to simplify the given expression
Given expression is:
-7(8x – 3) + x
Let us first understand about distributive property
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
<em><u>The distributive property is represented as:</u></em>
a(b + c) = ab + ac
Apply this property in given expression for -7(8x - 3)

Apply the above result in given expression

Combine the like terms. Add -56x and x

Thus the given expression is simplified. Option D is correct
Answer:
3) One-sided,compare two populations
Step-by-step explanation:
A manufacturer wants to investigate the whether there is an increase in the mean gas mileage of mid-sized sedan having new type of tire compared to mean gas mileage of mid-sized sedan not having new type of tire.
So, there are two populations :
population 1 : mid-sized sedan having new type of tire.
population 2 : mid-sized sedan not having new type of tire.
So, two populations are being compared.
Also, A manufacturer is investigating whether there is an increase in mean gas mileage.The alternative hypothesis will be right tailed and so, this corresponds to one sided test.