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navik [9.2K]
2 years ago
12

The graph of a function f is shown below. Find f(-2) and find one value of x for which f(x)=-1.

Mathematics
1 answer:
djyliett [7]2 years ago
7 0

Answer:

f(-2) = 3, f(0, -3) = -1

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Evelyn wants to estimate the percentage of people who own a tablet computer she surveys 150 indvidals and finds that 120 own a t
igomit [66]

Answer:

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

Step-by-step explanation:

Confidence interval for the proportion of people who own a tablet:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 150, \pi = \frac{120}{150} = 0.8

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.576.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.7159

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{150}} = 0.8841

Percentage:

Multiply the proportion by 100.

0.7159*100 = 71.59%

0.8841*100 = 88.41%

The 99% confidence interval for the percentage of people who own a tablet computer is between 71.59% and 88.41%

8 0
3 years ago
Brenda and Lynne cut shapes from
Fed [463]

Answer:

8

Step-by-step explanation:

32/4

8 0
3 years ago
Hi! plz help it would mean a lot ty! and plz don't troll! first person who solves it get brainlist!
Margaret [11]

Answer:

its b

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the values of y for which the distance between the point p2,-3 and q 10, y is 10 units
lina2011 [118]

Answer:

y = - 9, y = 3

Step-by-step explanation:

Calculate distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)

d = \sqrt{(10-2)^2+(y+3)^2}

   = \sqrt{8^2+(y+3)^2}

Given distance between points is 10, then

\sqrt{64 +(y+3)^2} = 10 ( square both sides )

64 + (y + 3)² = 100 ( subtract 64 from both sides )

(y + 3)² = 36 ( take the square root of both sides )

y + 3 = ± \sqrt{36} = ± 6 ( subtract 3 from both sides )

y = - 3 ± 6 , thus

y = - 3 - 6 = - 9

y = - 3 + 6 = 3

7 0
3 years ago
Solve for C. <br>4/ 7(B - C) = A <br><br>C = ___
klio [65]

Answer:

C = ¼(4B – 7A)

Step-by-step explanation:

⁴/₇(B – C) = A                Multiply each side by 7

  4(B - C) = 7A               Remove parentheses

 4B – 4C = 7A              Subtract 4B from each side

        -4C = 7A – 4B      Multiply each side by -1

         4C = -7A + 4B     Divide each side by 4

          C = ¼(4B – 7A)

5 0
3 years ago
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