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3 years ago

The gasoline prices in seven states are $1.96, $2.09, $1.79, $1.61, $1.75, $2.11, and $1.84.

Mathematics

1 answer:

miv72 [106K]3 years ago

3 0

I believe this is to find the median.

To find the median you would line these gasoline prices up from smallest to biggest. Seeing as there are 7 prices there will only be one median so no need to, but if there was two middle numbers then you would have to add them both up and find the middle of both of them.

To find the median in this case:

$1.61, $1.75, $1.79, $1.84, $1.96, $2.09, $2.11

Median is $1.84

To find the difference from the 1st ($1.61) and 3rd ($1.79) quartiles

$1.79 - $1.61 = $0.18

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3 years ago

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3 years ago

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3 years ago

A bird sees a worm on the ground 50 m. below. The bird dives for the worm at a speed of 6 m/sec. The function h\left( t \right)

iragen [17]

Given:

The height of the bird at time t is given by the function $h(t)=-4.9t^2+6t+50$

We need to determine the time it takes the worm to be eaten by the bird.

Time taken:

The time can be determined by substituting h(t) = 0 in the function.

Thus, we have;

$0=-4.9t^2+6t+50$

Switch sides, we get;

$-4.9t^2+6t+50=0$

Let us solve the equation using the quadratic formula.

Thus, we get;

$t=\frac{-6 \pm \sqrt{6^{2}-4(-4.9) 50}}{2(-4.9)}$

Simplifying, we get;

$t=\frac{-6 \pm \sqrt{36+980}}{-9.8}$

$t=\frac{-6 \pm \sqrt{1016}}{-9.8}$

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The values of t are given by

$t=\frac{-6 + 31.87}{-9.8}$ and $t=\frac{-6 - 31.87}{-9.8}$

$t=\frac{25.87}{-9.8}$ and $t=\frac{-37.87}{-9.8}$

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Since, the value of t cannot be negative, then $t=3.9$

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3 years ago

Your firm has a contract to make staff uniforms for a fast-food retailer. The heights of the staff are normally distributed with

FromTheMoon [43]

Answer:

a) 16%

b) 2.5%

Step-by-step explanation:

The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).

To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%

The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).

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