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3 years ago

Suppose a sociologist studying the sleep habits of teenagers in the United States randomly surveyed 1873 teenagers. Of those, 29

7 teenagers had moderate to severe sleep disorders . What i the value of p

Mathematics

1 answer:

wlad13 [49]3 years ago

7 0

$\hat{p}=p\pm\frac{\sqrt{p(1-p)}}{\sqrt{n}}\\p=\frac{297}{1873}=0.1586\\ \hat{p}=0.1586\pm\frac{\sqrt{0.1586(1-0.1586)}}{\sqrt{1873}}\\=0.1586\pm\frac{\sqrt{0.1586(0.8414)}}{43.2782}}\\=0.1586\pm\frac{\sqrt{0.1334}}{43.2782}}\\=0.1586\pm\frac{0.3653}{43.2782}}\\=0.1586\pm0.0084$

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A jewellery shop sells 240 necklaces in a month. 180 were sold via the shops website, the rest were sold in a high street shop.

Rom4ik [11]

3:4
180 / 6 = 30 / 10 = 3
240 / 6 = 40 / 10 = 4
3 = website sales
4 = store sales
website : store
=
3 : 4

4 0

4 years ago

A group of adults and children decided to go to the movies. Tickets to the movie cost 4 dollars for children and 9 dollars for a

denis-greek [22]

Answer:

6 aduts and 5 kids

Step-by-step explanation:

$20 for the kids in total and $54 for the adults

4 0

3 years ago

Pauline travels between two cities. First she drives for 40 minutes at an average speed of 88 km/hr then for 40 minutes at an av

Scilla [17]

Pauline's average speed for this trip is 64 km/hr.

Explanation

First we will convert each 'minutes' into 'hours' . So......

40 minutes = $\frac{40}{60}hours =\frac{2}{3} hours$ and 23 minutes = $\frac{23}{60}hours$

Now, $Distance = Speed* Time$

So, the distance traveled for first 40 minutes at 88 km/hr speed $=(88* \frac{2}{3})km = 58.67 km$ ,

the distance traveled for next 40 minutes at 75 km/hr speed $=(75*\frac{2}{3})km=50 km$ and

the distance traveled last 23 minutes at 49 km/hr speed $=(49*\frac{23}{60})km = 18.78 km$

So, the total distance traveled $=(58.67+50+18.78) km = 127.45 km$

She spends 17 minutes eating lunch and buying gas.

So, the total time taken for the trip $= (40+40+17+23)minutes = 120 minutes= 2 hours$

Thus, Pauline's average speed for this trip = (Total distance / Total time) $=(\frac{127.45}{2})km/hr = 63.725 km/hr =64 km/hr$ (Rounded to the nearest km/hr)

8 0

3 years ago

If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at which the diameter decreases whe

mixas84 [53]

Answer:

The diameter decreases at the rate of 0.0796 cm/min when the diameter is 10 cm.

Step-by-step explanation:

A snowball is spherical, so it's area is given by the following formula:

$A = 4\pi r^{2}$

The radius is half the diameter so:

$A = 4\pi (\frac{d}{2})^{2}$

$A = 4\pi \frac{d^{2}}{4}$

$A = \pi d^{2}$

If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.

We have to find $\frac{dd}{dt}$ when $\frac{dA}{dt} = -5, d = 10$