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krek1111 [17]
3 years ago
15

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The sta

tistician reported that the mean serve speed was 100 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph. If nothing is known about the shape of the distribution, what percentage of the player's serve speeds are less than 70 mph?
Mathematics
1 answer:
Maksim231197 [3]3 years ago
5 0

Answer:

2.275%

Step-by-step explanation:

We solve this question using z score formula

z = (x-μ)/σ,

where

x is the raw score = 70 mph

μ is the population mean = 100 mph

σ is the population standard deviation = 15 mph

z score = 70 - 100/15

z score = -30/15

z score = - 2

Determining the Probability value from Z-Table:

P(x ≤ 70) = P(x < 70)

= P(z = -2)

= 0.02275

Hence the probability of the player's serve that are less than 70 mph is 0.02275

Converting it to percentage

= 0.02275 × 100

= 2.275%

Therefore, the percentage of the player's serve speeds that are less than 70 mph is = 2.275%

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FromTheMoon [43]

Answer:

∠ ABC = 53.5°

Step-by-step explanation:

The inscribed angle ABC is half the measure of the intercepted arc AC

∠ ABC = \frac{1}{2} × 107° = 53.5°

5 0
3 years ago
Calculate x in the following ratio: x:12 = 6:3​
Murrr4er [49]

Answer:

24

Step-by-step explanation:

x:12

6:3

When 12 go to 3: multiple 4

So 6 multiple 4 = 24

4 0
2 years ago
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A university hired you as a lab assistant after you graduated. Your starting salary is $41,500 and your salary will increase by
VladimirAG [237]

Answer:

$67,000

Step-by-step explanation:

41,000*(1,700*15)=67,000

5 0
3 years ago
a theater is designed with 15 seats in the first row, 19 in the second, 23 in the third, and so on. if this seating pattern cont
marusya05 [52]

Answer:

<u>131 seats</u> are in the 30th row.

Step-by-step explanation:

The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.

Now, to find the number of seats in the 30th row.

So, we get the common difference(d) from the arithmetic sequence first:

19-15=4.

Thus, d=4.

So, the first tem a(1) = 15.

The number of last row (n) = 30.

Now, to get the number of seat in the 30th row we put formula:

a(n) = a(1) + d(n-1)

a(30)=15+4(30-1)

a(30)=15+4\times 29

a(30)=15+116

a(30)=131

Therefore, 131 seats are in the 30th row.

4 0
4 years ago
I need help asap!!!!
kolbaska11 [484]

Answer:

24: x = 31

25: x = 15

Step-by-step explanation:

Remark

24 is supplementary which means that the two angles add to 180o which is on the right hand side of the equation

25 is complementary which means that the two angles add to 90o which is on the left hand side of the equation

Twenty Four

3x + 31 +2x - 6 =  180              Collect the like terms

3x +2x + 31 - 6 = 180               Do the adding and subtracting.

5x + 25 = 180                          Subtract 25 from both sides

5x + 25 - 25 = 180 - 25

5x = 155                                   Divide by 5

x = 155/5

x = 31

Check

3x + 31 = 3*31 + 31

3x + 31 = 93 + 31

3x + 31 = 124

2x - 6 = 2*31 - 6 = 62 - 6 = 56

Total 124 + 56 = 180 as it should.

Twenty Five

Equation

3x+ 4x -  15 = 90

Solution

7x - 15 = 90        Like terms have been collected on the left.

7x = 90 + 15       15 was added to both sides

7x = 105              Divide by 7      

x = 15                       I'll leave the check to you


5 0
3 years ago
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