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Wittaler [7]
3 years ago
7

Local newspaper company wanted to determine if there is a need for a digital version of their newspaper. They sampled 80 of thei

r subscribers and determined that 56 of them would be interested in the new services .
A.) what is the sample proportion

B.) if the total number of subscribers for the newspaper is 138,246 what would be the estimated number of subscribers who would be interested in the new digital version ?
Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0

Answer:

A.) 7:3

B.) Approximately 96,772 people

Step-by-step explanation:

The newspaper company sampled 80 of their subscribers.

56 of the 80 would be interested in the new services.

So, 80 - 56 = 24 people would not be interested in the new service.

The ratio of those interested in the new service to those who are not interested is:

56 : 24 simplified becomes 7 : 3 (We divide 56 and 24 by a common divisor = 8)

If the total number of subscribers for the newspaper is 138,346

The number of subscribers who would be interested in the new service would be:

\frac{7}{10} × 138,246 = 96,772.2 people

Because there are no 0.2 people, we remove the decimal point of the answer and hence;

Approximately 96,772 people would be interested in the new service.

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lions [1.4K]
Well, If you want 4 letter codes with 5 letters, would be 5 x 4 x 3 x 2 which is 430. (It gets less because If you use one letter you cant use it again.)
8 0
3 years ago
1. What is the value of x in the figure?
irinina [24]

Answer:

x=6\sqrt{5}\\ \\y=3\sqrt{5}\\ \\z=6

Step-by-step explanation:

The height of the right triangle drawn to the hypotenuse is geometric mean of two segments of hypotenuse, so

z^2=12\cdot 3\\ \\z^2=36\\ \\z=6

By the Pythagorean theorem,

x^2=12^2+z^2\\ \\x^2=144+6^2\\ \\x^2=144+36\\ \\x^2=180\\ \\x=6\sqrt{5}

and

y^2=z^2+3^2\\ \\y^2=6^2+9\\ \\y^2=36+9\\ \\y^2=45\\ \\y=3\sqrt{5}

5 0
3 years ago
Suppose the initial height of a Pumpkin is 12 feet and the pumpkin is being launched with a velocity of 61 feet per second. Use
iogann1982 [59]
<h2>Hello!</h2>

The answer is:

The maximum height before landing will be 69.7804 feet.

<h2>Why?</h2>

Since there is no information about the angle of the launch, we can safely assume that it's launched vertically.

So, we can calculate the maximum height of the pumpkin using the following formulas:

y=y_o+v_{o}*t-\frac{1}{2}gt^{2}

v=vo-gt

Where,

y, is the final height

y_o, is the initial height

g, is the acceleration of gravity , and it's equal to:

g=32.2\frac{ft}{s^{2} }

t, is the time.

Now, we are given the following information:

y_{o}=12ft\\\\v=61\frac{ft}{s}

Then, to calculate the maximum height, we must remember that at the maximum height, the speed tends to 0, so, calculating we have:

Time calculation,

We need to use the following equation,

v=vo-gt

So, substituting we have:

v=61\frac{ft}{s}-32.2\frac{ft}{s^{2}}*t\\\\-61\frac{ft}{s}=-32.2\frac{ft}{s^{2}}*t\\\\t=\frac{-61{ft}{s}}{-32.2\frac{ft}{s^{2}}}=1.8944s

We know that it will take 1.8944 seconds to the pumpkin to reach its maximum height.

Maximum height calculation,

Now, calculating the maximum height, we need to use the following equation:

y=y_o+v_{o}*t-\frac{1}{2}gt^{2}

Substituting and calculating, we have:

y=y_o+v_{o}*t-\frac{1}{2}gt^{2}

y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}

y=12ft+61\frac{ft}{s}*1.8944s-\frac{1}{2}32.2\frac{ft}{s^{2}}*(1.8944s)^{2}\\\\y_{max}=12ft+115.5584ft-16.1\frac{ft}{s^{2}}*(3.5887s^{2})\\\\y_{max}=127.5584ft-57.7780ft=69.7804ft

Hence, we have that the maximum height before the landing will be 69.7804 feet.

Have a nice day!

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I think the answer is right triangles sorry its it wrong
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Answer:

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Step-by-step explanation:

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