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Vadim26 [7]
2 years ago
11

Trevor Ariza is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next on

e, and he makes his free throws 70%, percent of the time. What is the probability of Trevor Ariza making none of his next 5 free throw attempts?
Mathematics
2 answers:
vivado [14]2 years ago
7 0

Answer:

Probability of making none of next 5 free throws = 0.00243

Step-by-step explanation:

"Making or missing free throws doesn't change the probability that he will make his next one"

So the probability of making none of next 5 free throws

= Probability of missing next 5 free throws

= Probability of missing 1 free throw^5


"...he makes his free throws 70%" so the probability of missing 1 free throw = 1-70% = 0.3

So the probability of making none of next 5 free throws = 0.3^5

= 0.00243




zzz [600]2 years ago
7 0

Answer:

0.0024

Step-by-step explanation:

Making or missing free throws doesn't change the probability of next FTs

P(none of next 5 FTs)

=P(miss next FT)*P(miss next FT)*P(miss next FT)*P(miss next FT)*P(miss next FT)

=P(miss next FT)^5

= (1 - P(make next FT))^5

= (1 - 0.7)^5

= 0.3^5

=0.0024



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The sum of two consecutive mile markers on the interstate is 561. Find the numbers on the markers.
vovikov84 [41]

Answer:

Step-by-step explanation:

Let x equal the first mile marker.  Then x + 1 represents the second mile marker.

Then x + (x + 1) = 561, or

2x + 1 = 561, or

2x = 560, and so x = 280

Then the first mile marker reads 280 and the second mile marker reads 281.

4 0
2 years ago
Jodi is considering taking online classes at two websites, LearnCenter and EduWorld. Each site requires that students pay a base
ohaa [14]

Answer:

B-LearnCenter charges a higher membership fee but a lower rate per class.

Step-by-step explanation:

7 0
2 years ago
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The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number
brilliants [131]

Answer:

part A; B and Part B;  pencils

Step-by-step explanation:

you want to find out how many pens and pencils you cn buy with that 90$ so you want to do

.75y+.15x=90

pens=50

pencils=50

but you want to add .75+.15 which = .90

then you divide 90/.90

and that equals 100

then split it up and each gets 50

4 0
2 years ago
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Solve the system using elimination. x + 2y = –6 3x + 8y = –20 (–4, –1) (–4, 4) (–1, –4) (3, 1)
Orlov [11]

x + 2y =  - 6 >  >  > 3x =  - 18 - 6y
- 18 - 6y + 8y =  - 20 >  >  > 2y =  - 2 >  > y =  - 1
so x=4
6 0
2 years ago
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Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to
RUDIKE [14]

Answer:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75

And for the margin of error we have the following estimation:

ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75

And for the margin of error we have the following estimation:

ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62

5 0
2 years ago
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