Answer:
He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.
Step-by-step explanation:
After n consecutive serves, his total number of serves is going to be n+8, since he has already served 8 times. In the best case, his number of successful first serves is n+2.
His percentage of succesful first serves is the division of the number of succesful first serves divided by the total number of serves. So

We want
. So







He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.
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For this case, the first thing we are going to do is add the number of students in each of the disciplines.
We have then:
walk = 9
bike = 8
skateboard = 3
Total: 20
The percentage sought is then:
(3/20) * (100) = 15%
Answer:
percentage of the total students chose skateboarding is:
D.) none of these
Answer: D. Both triangles have an obtuse angle
This is because it says "Each triangle has <u>1 obtuse angle</u> and 2 acute angles" in the instructions. An obtuse angle is any angle between 90 and 180 degrees, excluding both endpoints.
Answer:
2(5x-2) (2x+3)
Step-by-step explanation: You could take a two out of the equation and then factor.
Answer:
b) μ = 2 and σ = 1.29
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6</em>
<em>Given that the probability of labelled '1'</em>
<em> </em>
=0.16
<em> q = 1-p = 1- 0.16 = 0.84</em>
Let 'X' be a random variable in binomial distribution
The mean of the binomial distribution
μ = n p
μ =
<em>The mean of the binomial distribution = 2</em>
<u><em>Step(ii):-</em></u>
The standard deviation of X
σ 
σ = 
σ = 
<em>The standard deviation of the binomial distribution</em>
<em> </em> σ = 
<u><em></em></u>
<u><em></em></u>