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faltersainse [42]
2 years ago
12

8

Mathematics
1 answer:
IrinaVladis [17]2 years ago
7 0

Answer:

49.6

Step-by-step explanation:

A = πr2, (Pi r-squared)

A = (3.14)(8)2

A = (3.14) (64)

A = 198.4

but you need to take 1/4th of that since you are only looking at 1/4th of the circle so,

.25 x 198.4 = 49.6

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Several years​ ago, 50​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

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 = 1095, \pi = \frac{478}{1095} = 0.4365

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

5 0
3 years ago
What are the possible values of x in -11x^2 + 2x = 10?
vlabodo [156]
        -11x² + 2x = 10
-11x² + 2x - 10 = 10 - 10
-11x² + 2x - 10 = 0
x = <u>-(2) +/- √((2)² - 4(-11)(-10))</u>
                     2(-11)
x = <u>-2 +/- √(4 - 440)</u>
               -22
x = <u>-2 +/- √(-436)
</u>             -22<u>
</u>x = <u>-2 +/- 2i√(109)
</u>              -22
x = <u>-2 + 2i√(109</u>)        x = <u>-2 - 2i√(109)</u>
             -22                            -22
x = ¹/₁₁ - ¹/₁₁i√(109)    x = ¹/₁₁ + ¹/₁₁i√(109)
<u />
8 0
3 years ago
James works in a flower shop.He will put 36 tulips in vases for a wedding.He must use the same number of tulips in each vase.The
katrin [286]
Start with the largest possible of 9 per vase. 36 by 9 is 4 vases. The next highest possible is 6 per vase, 36 by 6 is 6 vases.etc.
6 0
3 years ago
10kg 20kg 24kg ?kg plz answer this for me
luda_lava [24]

Answer:

27KG

Step-by-step explanation:

Mouse- M , Cat - C, Dog - D

M + C = 10 ----- (1)

M + D = 20 -------(2)

C + D = 24 --------(3)

(1) - (2) => C - D = -10 ---- (4)

(3) + (4) => 2C = 14

                => C = 7

Substitute C in (1)  => M + 7 = 10

                            => M = 3

Substitute M in (2) => 3 + D = 20

                            => D = 17

Therefore C + M + D = 7 + 3 + 17 = 27KG

3 0
3 years ago
Easy question plz help​
densk [106]

Answer: 18

Step-by-step explanation:

9+9

6 0
3 years ago
Read 2 more answers
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