A world class sprinter ran 200 m in 22.75s. What was her average speed?m/s
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A world class sprinter ran 200 m in 22.75s. What - 1

Answers

Answer 1
Answer:

Answer:

8.8

Step-by-step explanation:

speed=distance/time

speed- ?

distance- 200m

time- 22.75s

?=200/22.75

?= 8.791...

round it so that it becomes 8.8


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A normal population has the mean of 10 and the variance of 25 . A random sample of size n-28 is selected. (a) Find the standard deviation of the sample mean. Round your answer to two decimal places (e.g. 98.76)
(b) How large must the sample be if you want to halve the standard deviation of the sample mean?

Answers

Answer:

Step-by-step explanation:

Given that:

population mean = 10

variance \sigma^2 = 25  ; \sigma =√( 25) = 5

sample size n = 28

The standard deviation of the sample mean:

= {(5)/(√(28))

= 0.95

To halve the standard deviation of the sample mean, the size of how large the sample will be can be computed as follows:

(sd_1)/(sd_2) = ((\sigma)/(√(n)) )/((\sigma)/(√(n)) )

\implies  ((5)/(√(28)) )/((5)/(√(28)) )

= (5)/(√(28)) * (√(28))/(5)

= 2

n = 4 × 28

n = 112

The standard deviation is 0.95 and if the standard deviation is halved then the sample mean is 112.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

A normal population has a mean of 10 and a variance of 25.

A random sample of sizes n-28 is selected.

A.  The standard deviation will be

\sigma = (√(Var(x)))/(n) \n\n\sigma = (√(25))/(√(28)) \n\n\sigma = 0.95

B.  The sample be if you want to halve the standard deviation of the sample mean

\rm (SD_1)/(SD_2) = 2 = (√(n))/(√(28))\n\nn = 4*28 \n\nn= 112

More about the standard deviation link is given below.

brainly.com/question/12402189

Dejah is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line s and labels two points on the line as (−a, 0) and (0, b).Enter the answers, in simplest form, in the boxes to complete the proof.

Answers

Answer:

math is hard :(

Step-by-step explanation:

Please help me 80% of what number is 16 What is the part?
What is the total?
What is the percent?
What is the answer?​

Answers

Answer:

80 percent of 16 is 12.8 I'm sorry but that's all I know

Toy company produces rubber balls that have a radius of 1.7 cm.A sphere has a radius of 1.7 centimeters.
What is the volume of one rubber ball? Round to the nearest hundredth of a centimeter.

Answers

Answer:

The volume of one rubber ball is 20.58 cubic centimeters.

Step-by-step explanation:

The rubber ball has a spheric format.

A sphere with radius r has volume given by the following equation:

V = (4\pi r^(3))/(3)

In this question:

r = 1.7 cm.

The radius is in centimeters, so the volume will be in cubic centimeters.

What is the volume of one rubber ball?

V = (4*\pi*(1.7)^(3))/(3) = 20.58

The volume of one rubber ball is 20.58 cubic centimeters.

Answer:

1) 20.58 cm

2) $0.09

3) $0.41

Step-by-step explanation:

A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of five cars form this company have an average gas mileage of 25.2 miles per gallon and a standard deviation of 1 mile per gallon. At α=0.06, can the company’s claim be supported, assuming this is a normally distributed data set?

Answers

Answer with explanation:

Let \mu be the population mean.

Null hypothesis : H_0:\mu\geq26

Alternative hypothesis : H_1:\mu<26

Since the alternative hypothesis is left tailed, so the test is a left-tailed test.

Sample size : n=5 <30 , so we use t-test.

Test statistic: t=\frac{\overline{x}-\mu}{(\sigma)/(√(n))}

t=(25.2-26)/((1)/(√(5)))\approx-1.79

Critical t-value for t=t_(n-1, \alpha)=t_(4,0.06)=1.9712

Since, the absolute value of t (1.79) is less than the critical t-value , so we fail to reject the null hypothesis.

Hence, we have sufficient evidence to support the company's claim.

The cost to ride a ferris wheel is $2.00 per person. The ferris wheel has a capacity of 64 people. The amount of money collected is a function of the number of people who ride on the ferris wheel. M(p)=2p the domain of this function is restricted to

Answers

Answer:

D=[0, 64]

Step-by-step explanation:

The domain of a function is the interval of all possible values of the independent variable. In this situation, the independent variable is the number of people on the ferris wheel 'p'. Since the capacity is 64 people, the possible interval for 'p' is from 0 to 64 people. Therefore, the domain is;

D=[0, 64]