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2 years ago

A)Jodis car used 12 gallons of gas to travel 456 miles. how many miles did her car travel per gallon of gas? show your work.

Mathematics

1 answer:

Tresset [83]2 years ago

7 0

a) Jodi's car traveled 38 miles per gallon of gas. We know this because by dividng the amount of miles traveled by number of gallons Jodi has in her car we can find how many miles she travels per gallon of gas.

So our equation would be 456 / 12 = 38

b) The cost per gallon of gas was $3.74. We can find this answer by dividing how much she paid ($44.88) by how many gallons she bought (12).

So our equation would be 44.88 / 12 = 3.74

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The area of a field shaped like a right triangle is 750yd^2.One leg of the field is fenced with wood costing $5/yd. the remainde

Elenna [48]

Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.

The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)

The perimeter is 150yd, therefore
a + b + c = 150 (2)

Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)

From (2), obtain
c = 150 - a - b (4)

Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60

From (1), obtain
60b = 1500
b = 25

From (4), obtain
c = 150 - 60 - 25 = 65

Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.

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3 years ago

The number of text messsages that teenagers send per month is normally

ki77a [65]

Answer:

$z=\frac{4415-3400}{450}=2.26$

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Calculate the z score

Let X the random variable that represent the number of text messages per month, and for this case we know the distribution for X is given by:

$X \sim N(3400,450)$

Where $\mu=3400$ and $\sigma=450$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$z=\frac{4415-3400}{450}=2.26$

And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"

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