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IgorLugansk [536]
3 years ago
5

Please help ASAP for 10 points!!

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

Answer:

(C) - 3x²+6

Step-by-step explanation:

(2x²+3x-4) +(8-3x) +(-5x²+2)= 2x²<em>+3x</em><u>-4 +8</u><em>-3x</em>-5x²<u>+2 </u>= - 3x²+6

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A survey among freshman at a certain university revealed that the number of hours spent studying before final exams was normally
patriot [66]

Answer: 0.0775

Step-by-step explanation:

Given : Mean : \mu = 25

Standard deviation : \sigma =15

Sample size : n=36

Since its normal distribution , then the formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x= 28.2 hours

z=\dfrac{28.2-25}{\dfrac{15}{\sqrt{36}}}=1.28

For x= 30 hours

z=\dfrac{30-25}{\dfrac{15}{\sqrt{36}}}=2

The P- value = P(1.28

=P(z

Hence, the probabiliy that the average time spent stydying for the sampe was between 28.2 and 30 hours = 0.0775

6 0
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:

a)

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%

b)

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

You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead.  Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%

3 0
3 years ago
Joseph read 9 books in 15 months. what was his rate of being in books per month?
inna [77]

Answer:

0.6 books

Step-by-step explanation:

Divide 9 by 15 to get 0.6 books a month

5 0
3 years ago
Please help pleaseeeeeeeeee
Allushta [10]

Answer:

C. 1/4 cup for every cup of water

Step-by-step explanation:

8 0
3 years ago
A __ is drawn on a triangle to indicate right triangle?
Vinvika [58]
A box or square is drawn on the right angle triangle to show that it is a right triangle
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4 years ago
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