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trapecia [35]
2 years ago
12

3. The MPG (Miles per Gallon) for a mid-size car is normally distributed with a mean of 32 and a standard deviation of .8. What

is the probability that the MPG for a selected mid-size car would be: Less than 33.2
Mathematics
1 answer:
mariarad [96]2 years ago
8 0

Answer:

93.32 %

Step-by-step explanation:

33.2   is    1.2   away from 32     this is  1.2 / .8 = 1.5 standard deviations ABOVE the mean     z -score = + 1.5

from z-score table this corresponds to .9332     this is  93.32 %

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Help me please, Find a, b, and c.
Mama L [17]

Answer:

a = 6*\sqrt{3}

b = 12

c = 6\sqrt{2}

Step-by-step explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

A 45-45-90 right triangle has side lengths 1-1-\sqrt{2}.

A 30-60-90 right triangle has side lengths 1 - \sqrt{3} -2.

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

Side a corresponds to side length \sqrt{3}. Therefore, a = 6*\sqrt{3}.

Side b corresponds to side length 2, b = 2*6 = 12.

The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to \sqrt{2}. This means \sqrt{2} was multiplied by 12 = \sqrt{2} * \sqrt{72}. This means that side c is \sqrt{72}=6\sqrt{2}.

3 0
3 years ago
Read 2 more answers
Someone please help me
Troyanec [42]
Pythagorean theorem is a^{2} + b^{2} = c^{2}
and using that sin is opposite/hypotenuse, you can find the third side of the triangle.
11^{2}+(adjacent)^{2} = 61^{2} \\ 121+ (adjacent)^{2} = 3721 \\ (adjacent)^{2}=3600 \\ adjacent = 60
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4 0
3 years ago
Samuel pays $20 for a shirt that is on sale. If he saved $5, what is the percent of the discount?
mamaluj [8]
Hi Kyliebreland!
So, If he saved $5 then we do $20 divided by $5 which gives 4 so now we split 100% into 4 pieces which gives us 25%.
Hope this helps!

7 0
4 years ago
What is a swing state?
marshall27 [118]

Answer:

swing state

noun

a US state where the two major political parties have similar levels of support among voters, viewed as important in determining the overall result of a presidential election.

Step-by-step explanation:

6 0
3 years ago
Solve 4 [5 (12+3)-2]-7 PLSSS HELP MEEE
viva [34]

Answer:

285

Step-by-step explanation:

4(5x15-2)-7

4(75-2)-7

4x73-7

292-7

285

3 0
3 years ago
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