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kenny6666 [7]
3 years ago
8

Your Statistics group wanted to determine what percent of Dulles High School senior like pineapple on their pizza. You randomly

sampled 60 seniors and 36 responded that pineapple is one of their favorite topping. You wanted to construct a 90% confidence interval to report your findings. (Use your Confidence Interval Notes and the assigned videos to answer the questions) A margin of error (ME) tells you how many percentage points your results will differ from the true proportion of the population. For example, a 95% confidence interval with a 4 percent margin of error means that your sample proportion will be within 4 percentage points of the true proportion value 95% of the time. Calculate the ME of your study.
Mathematics
1 answer:
balu736 [363]3 years ago
7 0

Answer:

The answer is "0.1040"

Step-by-step explanation:

Margin of error=Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\

                          =Z_{\frac{0.10}{2}} \sqrt{\frac{\frac{36}{60}(1-\frac{36}{60})}{60}}\\\\=1.645 \times 0.0632\\\\=0.1040\\\\

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Find the area of the figure. (Sides meet at right angles.)
NNADVOKAT [17]

Answer:

44ft

Step-by-step explanation:

To find the answer, you need to first break down your shape. We can see that the 2 sides are identical so we can just multiply the area of on eof the sides by 2. The 2 sides equal 20 in all. Now lets look at the last section. To find an unknown side, we need to subract the 2 known sides. 8-5=3.   3x8=24

24+20=44

Hope this helps.

6 0
3 years ago
Read 2 more answers
The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm.What is the length of the seco
Novay_Z [31]

Answer:

Length = 6cm

Step-by-step explanation:

You would get 6cm as the length, because 6 ÷ 3 = 2, that is your width. So in the same way, you would divide 18 by 3 and get 6, thus the length of the second rectangle is 6 centimeters

Hope it helps :D

7 0
3 years ago
Read 2 more answers
Find the sum of the arithmetic series<br> 3+8+13+..+438
irina [24]

Answer:

19404

Step-by-step explanation:

sum of arithmetic series is

Sn = n/2 (2a + (n-1)d)

or

Sn = n/2 (a + an)

a = 1st unit

an = last unit

d = difference

8-3 or 13-8 so d = 5

then first step is to find the value of n

an = a + (n-1)d

438 = 3 + (n-1)5

438 - 3 = 5n - 5

435 = 5n - 5

435 + 5 = 5n

440 = 5n

n = 440/5

n = 88

then we can find the sum

Sn = 88/2 (3 + 438)

S88 = 19404

7 0
3 years ago
5x( 4y2 + 5z) – (4y2 + 52
mrs_skeptik [129]

Hello! :)

To solve your equation, we will simplify

5 x (4y^2 + 5z) - (4y^2 +52)

Let's Distribute the negative sign

5 x (4y^2 + 5z) + −1 (4y^2 + 52)

5x (4y^2 + 5z) + −1 (4y^2) + (−1) (52)

5x (4y^2 + 5z) + −4y^2 + −52

Now, we will Distribute

(5x) (4y2)+(5x) (5z) + -4y^2 + -52

20xy^2 + 25xz + −4y^2 + −52

Hope this helped you!

THEDIPER

3 0
4 years ago
What are the roots of x2 + 8x – 48 = 0? <br> show me the work
nekit [7.7K]
<span>x^2 + 8x – 48 = 0
That is a quadratic equation where
a = 1
b = 8
c = -48
We can solve it by using the quadratic formula:
x = [-b +-sq root (b^2 - 4ac)] / 2a
x = [-8 +- sq root (64 -4*1*-48)] / 2*1
</span><span>x = [-8 +- sq root (256)] / 2
x = [-8 +-16] / 2
x1 = 8 / 2 = 4
x2 = -24 / 2 = -12





</span>
8 0
3 years ago
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