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NemiM [27]
3 years ago
6

Match the arc or central angle to the correct measure based on the figure below.

Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0

Answer:

a. 50 degrees

b. 130 degrees

c. 180 degrees

d. 230 degrees

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Researchers are investigating the effectiveness of leg-strength training on cycling performance. A sample of 7 men will be selec
ruslelena [56]

Answer:

A. The interval will be narrower if 15 men are used in the sample.

Step-by-step explanation:

Hello!

When all other things remain the same, which of the following statements about the width of the interval is correct?

A. The interval will be narrower if 15 men are used in the sample.

B. The interval will be wider if 15 men are used in the sample.

C. The interval will be narrower if 5 men are used in the sample.

D. The interval will be narrower if the level is increased to 99% confidence.

E. The interval will be wider if the level is decreased to 90% confidence.

Consider that the variable of interest "Xd: Difference between the peak power of a cyclist before training and after training" has a normal distribution. To construct the confidence interval for the population mean of the difference you have to use a pooled t-test.

The general structure for the CI is "point estimate"±" margin fo error"

Any modification to the sample size, sample variance and/or the confidence level affect the length of the interval (amplitude) and the margin of error (semiamplitude)

The margin of error of the interval is:

d= t_{n-1;1-\alpha /2} * (Sd/n)

1) The sample size changes, all other terms of the interval stay the same.

As you can see the margin of error and the sample size (n) have an indirect relationship. This means, that when the sample size increases, the semiamplitude decreases, and when the sample size decreases, the semiamplitude increases.

↓d= t_{n-1;1-\alpha /2} * (Sd/↑n)

↑d= t_{n-1;1-\alpha /2} * (Sd/↓n)

Correct option: A. The interval will be narrower if 15 men are used in the sample.

2) The confidence level has a direct relationship with the semiamplitude of the interval, this means that when the confidence level increases, so do the semiamplitude, and if the level decreases, so do the semiamplitude:

↓d= ↓t_{n-1;1-\alpha /2} * (Sd/n)

↑d= ↑t_{n-1;1-\alpha /2} * (Sd/n)

I hope it helps!

4 0
3 years ago
To create a unique house paint color, Melton mixes together a sample that is 12 gallons of red, 2.5 gallons of yellow and 0.5 ga
Mariana [72]

Answer:

180

Step-by-step explanation:

total ratio is 15

gallons of red =

\frac{12}{15}  \times 6 \times  \frac{15}{0.5 }  \\  \\  = 144

gallons of yellow

30

gallons of blue

\frac{0.5}{15}  \times 30 \times  \frac{15}{2.5}  \\  \\  = 6

total =144+30+6

=180

4 0
2 years ago
Read 2 more answers
Which statement best describes the relationship between x and y in the equation y = 3x? A. The value of y is three less than the
7nadin3 [17]

Answer:

b

Step-by-step explanation:

Y is three times the value of x , It can be said that y is directly proportional to Y .

Direct proportion is when an increase in the independent variable causes an increase in the dependent variable.

the equation for direct proportion is :

y = bx

y = dependent variable

b = constant

x = independent variable

8 0
2 years ago
Katrina is reading a book that is 400 pages long. She has read 340 pages so far.
Svetach [21]
\frac{340}{400}=\frac{340 \div 4}{400 \div 4}=\frac{85}{100}=85\%

Katrina has read 85% of her book.
7 0
3 years ago
Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how
Basile [38]

Answer:

16.75 Dollars for each Ticket

Step-by-step explanation:

They are three friends so the total money they spent is 75 Dollars so a popcorn costs 8.25 EACH friend so

8.25 x 3

= 24.75

24.75 dollars was spent on the 3 popcorns.

Subtract the total money spent and the total money spent on the 3 popcorns so

75. 00 - 24.75

= 50.25

50.25 dollars were totally spent on the tickets but we're looking for each ticket so divide it by 3.

50.25/3

= 16.75

16.75 dollars each were spent on each ticket.

Thank you and pls mark me as brainliest! Love y'all!

7 0
2 years ago
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