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kap26 [50]
3 years ago
14

The diameters of tennis balls are distributed normally. The mean diameter is 2.7 inches and the standard deviation is 0.3 inches

. Find the probability that the diameter of a selected bearing is between 2.5 inches and 3.2 inches. (Round your answer to 2 decimal places)
Mathematics
1 answer:
kumpel [21]3 years ago
4 0
Dis is too smarts fors mes!
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Question 4: 11 p The sum of the digits of a two-digit number is 14. When the digits are reversed the new number is 36 less than
svetoff [14.1K]

Answer:

  95

Step-by-step explanation:

Let x represent the ones digit. The tens digit will be higher, because reversing the digits results in a lower number. Its value is (14 -x). The given relation is ...

  (10(14-x) +x) -(10x +(14 -x)) = 36 . . . . reversing the digits gives 36 less

  140 -9x -9x -14 = 36 . . . . eliminate parentheses

  90 = 18x . . . . . . . . add 18x-36

  5 = x . . . . . . ones digit

  14-5 = 9 . . . tens digit

The original number is 95.

__

<em>Check</em>

  95 -59 = 36

_____

<em>Additional comment</em>

The difference in value when the digits of a 2-digit number are reversed is always 9 times the difference in the digits. This means the difference in the digits is 36/9 = 4. Since the sum of digits is 14, the two digits are (14+4)/2 = 9 and (14-4)/2 = 5. 95 is the number of interest.

The solutions to a "sum and difference" problem are half the sum and half the difference of the given sum and difference. That is how we know the larger digit is (1/2)(14 + 4), for example.

We worked this "the hard way" using the above equation. It can actually be worked in your head if you're familiar with these generic solutions.

4 0
3 years ago
Use the tables to answer the question.
Thepotemich [5.8K]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The lee family bought their home for $220,000 this year. The equation V = $220,000(1.038)* can be used to find the value, V, for
snow_lady [41]
I assume this V = $220,000 * (1.038) is for one year = $228,360 +(5*1.038) simple interest = V =$<span>228,365.19</span>
3 0
3 years ago
Read 2 more answers
A person's metabolic rate is the rate at which the body consumes energy. Metabolic rate is important in studies of weight gain,
cupoosta [38]

Let m be mean

Mean= sum/ n

Mean= (1720+1687+1367+1614+1460+1867+1436) / 7

m= 11151 / 7

M= 1593

Mean= 1593

Standard deviation

|x-m|^2

For 1st: |1720-1593|^2=8836

For 2nd: |1687-1593|^2=10201

For 3rd: |1367-1593|^2=51076

For 4th: |1614-1593|^2=441

For 5th: |1460-1593|^2=1689

For 6th: |1867-1593|^2=75076

For 7th: |1436-1593|^2=24649

Summation of |x-m|^2 = 171968

Standard deviation sample formula is:

S.D = sqrt((summation of |x-m|^2) / n-1)

S.D=sqrt(171968/6)

S.D=sqrt(28661.33)

S.D=169.30

Standard deviation is 169.30

3 0
3 years ago
(2, -16) <br><br>plug in the correct variables in the equation below<br><br>y = mx + b​
meriva

The Answer Is Y=-8x

This is because x is multiplied by -8 to find y.

5 0
3 years ago
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