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LUCKY_DIMON [66]
3 years ago
6

Sarah backstrokes at an average speed of 8 meters per second , how long will it take her to complete the race of 200 meters leng

th? Please show work
Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Answer:25 seconds

Step-by-step explanation:

Just divide 200/8 and you’ll get 25 because 4 multplied by 25 is 100 so 8 multiplied by 25 is 200

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Will give brainliest! Probability
alex41 [277]

Answer:

1/49

Step-by-step explanation:

You wrote the problem correctly.  You just needed to multiply instead of add.

1/7*1/7=1/49

So the answer is 1/49.

3 0
3 years ago
Read 2 more answers
Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that
amm1812

Answer:

The value is  P(| \^ p -  p| < 0.05 ) = 0.9822

Step-by-step explanation:

From the question we are told that

    The population proportion is  p =  0.52

     The sample size is  n  =  563      

Generally the population mean of the sampling distribution is mathematically  represented as

           \mu_{x} =  p =  0.52

Generally the standard deviation of the sampling distribution is mathematically  evaluated as

       \sigma  =  \sqrt{\frac{ p(1- p)}{n} }

=>      \sigma  =  \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }

=>      \sigma  =   0.02106

Generally the  probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

            P(| \^ p -  p| < 0.05 ) =  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 ))

  Here  \^ p is the sample proportion  of persons with a college degree.

So

 P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma }  < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )

Here  

    \frac{[\^p - p] - p}{\sigma }  = Z (The\ standardized \  value \  of\  (\^ p - p))

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 }  <  Z  < \frac{-0.47 + 0.52}{0.02106 }]

=> P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P[ -2.37 <  Z  < 2.37 ]

=>  P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = P(Z <  2.37 ) - P(Z < -2.37 )

From the z-table  the probability of  (Z <  2.37 ) and  (Z < -2.37 ) is

  P(Z <  2.37 ) = 0.9911

and

  P(Z <  - 2.37 ) = 0.0089

So

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) =0.9911-0.0089

=>P( - (0.05 - 0.52 ) <  \^ p <  (0.05 + 0.52 )) = 0.9822

=> P(| \^ p -  p| < 0.05 ) = 0.9822

3 0
3 years ago
Need help please answer !!!
DerKrebs [107]
I feel like it might be the second one
8 0
3 years ago
The sum of two numbers is 56 and the difference is 14. What are the numbers?
sertanlavr [38]

Answer:

x=35, y=21. (35, 21).

Step-by-step explanation:

x+y=56

x-y=14

------------

2x=70

x=70/2

x=35

35+y=56

y=56-35

y=21

4 0
2 years ago
Ryder's gas tank was full and then Ryder's car traveled 273 before running out of gas. The tank holds 13 gallons. How many miles
Sliva [168]

Answer:

21 miles per gallon

Step-by-step explanation:

13m = 273

m = 21

3 0
2 years ago
Read 2 more answers
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