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natka813 [3]
3 years ago
7

The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of peopl

e who appear on the list that are actually caught. Step 1 of 2 : Suppose a sample of 523 suspected criminals is drawn. Of these people, 172 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Mathematics
1 answer:
Zinaida [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Hello!

The variable of interest is X: number of criminals in the 10 Most Wanted list that were captured in a sample of 523 suspected criminals.

The number of criminals that were captured is 172 out of 523.

To calculate the sample proportion, you have to divide the number of success, in this case, captured criminals, by the total number of criminals sampled:

^p= 172/523= 0.329

I hope this helps!

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If the equations 2x +y =7 and x-y=2are solved simultaneously, then y=_________​
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y = -2x + 7 and y = x - 2

Step-by-step explanation:

2x + y = 7

y = -2x +7

x - y = 2

-y = -x +2

y = x - 2

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A random sample of 100 students was taken. Of the 100 students, 50 liked vanilla ice cream, 37 liked chocolate ice cream, and 13
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444

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On a snorkeling trip, Betina spotted 27 different kinds of fish. That is 3 times as many as her younger sister Lucia spotted. Ho
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Find the length of the segment that joins the points (-5, 4) and (6,-3).
Helen [10]

Answer:

\boxed {\boxed {\sf d=\sqrt{170} \ or \  d\approx 13.04}}}

Step-by-step explanation:

We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:

  • x₁= -5
  • y₁= 4
  • x₂= 6
  • y₂ = -3

Substitute the values into the formula.

d= \sqrt{(6--5)^2+(-3-4)^2

Solve inside the parentheses.

  • 6--5 (Back to back negative signs become a positive)= 6+5 =11
  • -3-4= -7

d= \sqrt{(11)^2+(-7)^2

Solve the exponents.

  • (11)²= 11*11= 121
  • (-7)²= -7*-7= 49

d= \sqrt {(121)+(49)

Add.

d= \sqrt {170}

d=13.0384048104

Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

  • 13.03<u>8</u>4048104

d\approx 13.04

The length of the segment is <u>√170</u> or approximately <u>13.04. </u>

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3 years ago
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