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Trava [24]
3 years ago
13

if a airplane flies 105 miles in 1/2 hour how far can it fly from 1 and 1/4 hour at the same rate of speed

Mathematics
2 answers:
givi [52]3 years ago
6 0

To answer this question, we can set up a proportion. The left side will be what is know about the plane and the right side will contain the unknown:

\frac{105mi}{0.5hr}=\frac{x}{1.25hr}

Then we can cross multiply and solve for x:

0.5x=131.25

x=262.5mi

So now we know that in 1.25 hours, the plane can fly 262.5 miles.

atroni [7]3 years ago
3 0
262.5 miles. The plane travels 52.5 miles every 1/4 hour (105/2). 52.5 x 5=262.5
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What number is equivalent to 80%, 0.8, 80/100
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Answer:

i think it is 80/100

Step-by-step explanation:

if it was 0.8 that would have been 8 so 80/100 is 80%

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It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo
BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

   

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{p(1-p)}{n} }

=>   \sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }

=>   \sigma  = 0.02612

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )

    P(X < 0.03) =  P( Z  < -2.297 )

From the z-table  

     P( Z  < -2.297 ) = 0.01

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

4 0
3 years ago
Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The he
Flauer [41]

Answer:

312π mm^2

Step-by-step explanation:

to find the volume of the figure, you have to calculate the volume of a cone and the volume of a sphere divided it by 2.

The volume of a cone is 1/3 * π * r ^ 2 * h, replacing the information:

V = 1/3 * (6) ^ 2 * (14) = 168π  mm^2

The volume of a sphere is 4/3 * π * r ^ 3, replacing the information:

V = 4/3 * π * (6) ^ 3 = 288π  mm^2

but since you only have half the sphere

V = 288π / 2 = 144π  mm^2

then the total volume is

Vt = 168π + 144π = 312π mm^2

5 0
3 years ago
Read 2 more answers
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