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mixer [17]
2 years ago
7

The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in mi

les per gallon) is normally distributed with a mean of 75 miles per gallon and a standard deviation of 10 miles per gallon. What value represents the 50th percentile of this distribution?
Mathematics
1 answer:
Leokris [45]2 years ago
4 0

Answer:

75.

Step-by-step explanation:

If the mean is 75 miles per gallon and the standard deviation is of 10 miles per gallon, it means that most values will fall between 65 and 85 miles.

The percentile 50 falls in the middle of this range, therefore, the value that represents the  50th percentile will be:

(65 +85) / 2 = 150 / 2 = 75.

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For the sequence an = 2n + 1, identify the values of a0 = _____, a1 = _____, a2 = _____, and a3 = _____.
Tresset [83]

Answer:

Option A -  a_0= 2,a_1= 3,a_2= 5,a_3= 9

Step-by-step explanation:

Given : For the sequence a_n= 2^n + 1

To find : Identify the values of following?

Solution :

The nth term of the sequence is a_n= 2^n + 1

Substitute n=0,1,2 and 3

When n=0,

a_0= 2^0+ 1

a_0= 1+1

a_0=2

When n=1,

a_1= 2^1+ 1

a_1= 2+1

a_1=3

When n=2,

a_2= 2^2+ 1

a_2=4+1

a_2=5

When n=3,

a_3= 2^3+ 1

a_3= 8+ 1

a_3= 9

Therefore, The value is a_0= 2,a_1= 3,a_2= 5,a_3= 9

So, Option A is correct.

4 0
2 years ago
A spherical container has a radius of 9 centimeters. It is filled with a solution that costs $2.10 per cubic centimeters.
vitfil [10]
Hello! For this question, first, we have to find the area of the spherical container. The formula for finding the area of a sphere is 4/3πr³. We raise the radius to the 3rd power and multiply it by pi (3.14). The radius is 9 cm. 9³ is 729. There's that number. Now, we multiply 81 by 3.14 to get the total area of the square. 729 * 3.14 is 2,289.06. Now, multiply that by 4/3. 2,289.06/1 * 4/3 is 3,052.08. The volume of the sphere is 3,052.08 cubic centimeters. Which brings us to the next part. Now, we can find the price of the solution by multiplying the area by the price. 3,052.08 * 2.10 is 6,409.368 or 6,409.37 when rounded to the nearest cent. The total value of the solution in the container is $6,409.37.
6 0
2 years ago
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Jlenok [28]

Answer:

4

Step-by-step explanation:

Well first we need to plug in 10 for g and h for 5.

4 - .25(10) + .5(5)

4 - 2.5. + 2.5

1.5 + 2.5

= 4

<em>Thus,</em>

<em>the answer is 4</em>

<em />

<em>Hope this helps :)</em>

3 0
2 years ago
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Which polynomials are listed with their correct additive inverse ? Check all that apply . x^ 2 +3x-2;-x^ 2 -3x+2 O -y^ 7 -10;-y^
Phoenix [80]

Answer:

a, c. and d

Step-by-step explanation:

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2 years ago
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qaws [65]

Answer:

20 hours

Step-by-step explanation:

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