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gayaneshka [121]
3 years ago
6

A tennis player lands 25 out of 40 first serves in bounds for a success rate of 62.5%. How many more consecutive first serves mu

st she land in bounds to increase her success rate to 70%.
Mathematics
1 answer:
kolezko [41]3 years ago
8 0
She will need to make 10 more consecutive first serves until the number of serves in out of the total number of serves is equal to 70%.

Start with 25/40, then 26/41, 27/42, 28/43, 29/44, 30/45, 31/46, 32/47, 33/48, 34/49, 35/50 (70%).
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Please help with number 6 ( at the top)
castortr0y [4]
30 + 8d = 102
8d = 102 - 30
8d = 72
d = 72/8
d = 9....you would have to walk 9 dogs
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Which statements are true about the area of the
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A=bh..I don't get for those numbers

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How much does a 5 lb bag for sugar weigh in grams
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2267.97 grams

Step-by-step explanation:

i hope this helps!

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A telemarketer is successful at getting people to donate money for her organization in 55% of all calls she makes. She must get
Tems11 [23]
An interesting twist to a binomial distribution problem.

Given:
p=55%=0.55 for probability of success in solicitation
x=4=number of successful solicitations
n=number of calls to be made
P(x,n,p)>=89.9%=0.899  (from context, it is >= and not =, which is almost impossible)

From context of question, all calls are assumed independent, with constant probability of success, so binomial distribution is applicable.

The number of successes, x, is then given by
P(x)=C(n,x)p^x(1-p)^{n-x}where
p=probability of success
n=number of trials
x=number of successesC(n,x)=\frac{n!}{x!(n-x)!}

Here we need n such that
P(x,n,p)>=0.899
given
x>=4, p=0.55, which means we need to find

Method 1: if a cumulative binomial distribution table is available, we can look up n=9,10,11 and find
P(x>=4,9,0.55)=0.834
P(x>=4,10,0.55)=0.898
P(x>=4,11,0.55)=0.939
So she must make (at least) 11 calls to make sure the probability of meeting her quota is 89.9% or more.

Method 2: using technology.
Similar to method 1, we can look up the probabilities directly, for n=9,10,11
P(x>=4,9,0.55)=0.834178
P(x>=4,10,0.55)=0.8980051
P(x>=4,11,0.55)=0.9390368

Method 3: using simple calculator
Here we need to calculate the probabilities for each value of n=10,11 and sum the probabilities of FAILURE S=P(0,n,0.55)+P(1,n,0.55)+P(2,n,0.55)+P(3,n,0.55)
so that the probability of success is 1-S.
For n=10,
P(0,10,0.55)=0.000341
P(1,10,0.55)=0.004162
P(2,10,0.55)=0.022890
P(3,10,0.55)=0.074603
So that
S=0.000341+0.004162+0.022890+0.074603
=0.101995
and Probability of getting 4 successes (or more) 
=1-S
=0.898005, missing target by 0.1%

So she will have to make 11 phone calls, bring up the probability to 93.9%.  The work is similar to that of n=10.
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One angle of a right triangle measures 10°. What is the measure of the other acute angle?
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Answer:

80 degrees

Step-by-step explanation:

Do 90 plus 10.

The do 180 minus 100

because a triangle adds up to 180

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3 years ago
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