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I am Lyosha [343]
3 years ago
6

A criminal has escaped in a train wreck. The police believe he could have traveled no more than 7 mi in any direction from the w

reck. How many square miles must be searched
Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0

Answer:

A = 153.94 sq mi

Step-by-step explanation:

In this scenario, we would be starting from the center point and searching the area of a square since the distance in every direction would the same 7 mi. This 7-mile distance would be our radius in this scenario. We now need to use the formula for the Area of a circle to calculate the search area. This formula is the following

A = \pi r^{2}

A = \pi 7^{2}

A = \pi 49

A = 153.94 sq mi

A total of 153.94 square miles must be searched.

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The cost of 5m of cloth is ₹450. The cost of 8m of cloth is
enyata [817]

Step-by-step explanation:

Rs 720

Cost of 1 m of cloth = 450/5= Rs 90

Cost of 8 m of cloth= 90*80= Rs 720

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to w4−25w2+144
eduard
Sorry I’m just commenting to do it
8 0
2 years ago
HELP!!! Anyone know how to solve I know the answer is (-3) but I don’t know how to get there. Thanks!!
Dima020 [189]

Answer:   v = -3

=========================================

Work Shown:

5 = \sqrt{-2-6v}+1\\\\5-1 = \sqrt{-2-6v}\\\\4 = \sqrt{-2-6v}\\\\4^2 = \left(\sqrt{-2-6v}\right)^2 \ \text{ .... square both sides}\\\\16 = -2-6v\\\\16+2 = -6v\\\\18 = -6v\\\\-6v = 18\\\\v = 18 \div (-6)\\\\v = -3

As you can see, we don't square both sides until the square root portion is fully isolated or on its own side. So it happens after we subtract 1 from both sides.

Technically, you are able to square both sides without first isolating the square root. But that would mean you'd have to use the FOIL rule and things would get a bit messier than they have to be. Not to mention that the square root term wouldn't fully go away (so you'd have to square again later down the line).

------------------

Checking the answer:

Replace every copy of v with -3. Simplify both sides. We should end up with the same number on each side

5 = \sqrt{-2-6v}+1\\\\5 = \sqrt{-2-6(-3)}+1\\\\5 = \sqrt{-2+18}+1\\\\5 = \sqrt{16}+1\\\\5 = 4+1\\\\5 = 5\\\\

The answer is confirmed.

4 0
3 years ago
Suppose the heights of women at a college are approximately Normally distributed with a mean of 65 inches and a population stand
Zigmanuir [339]

Answer:

Step-by-step explanation:

Hello!

The variable of interest, X: height of women at a college, has an approximately normal distribution with mean μ= 65 inches and standard deviation σ= 1.5 inches.

You need to look for the value of height that marks the bottom 20% of the distribution, i.e. the height at the 20th percentile of the normal curve, symbolically:

P(X≤x₀)= 0.20

To know what value of height belongs to the 20% of the distribution, you have to work using the standard normal distribution and then reverse the standardization with the population mean and standard deviation to reach the value of X. So the first step is to look for the Z-value that accumulates 20% of the distribution:

P(Z≤z₀)=0.20

z₀= -0.842

z₀= (x₀-μ)/σ

z₀*σ= (x₀-μ)

x₀= (z₀*σ)+μ

x₀= (-0.842*1.5)+65

x₀= 63.737 inches

I hope it helps!

6 0
3 years ago
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Find the value of X below
KatRina [158]
The answer should be x=100
3 0
2 years ago
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