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3 years ago

Make sure answer is in degrees. sin^-1(sin 17°)

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

4 0

Answer:

uhm 0 degrees

Step-by-step explanation:

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The following random sample was selected from a normal distribution: 4.5, 6.4, 2.3, 1.8, 5.3, then the 95% confidence interval t

kap26 [50]

Answer:

the 95% confidence interval to estimate the population mean is between 1.62 and 6.50

Step-by-step explanation:

given data

distribution = 4.5, 6.4, 2.3, 1.8, 5.3

so n = 5

confidence interval = 95%

to find out

the population mean is between

solution

first we calculate the mean i.e.

mean = $\frac{1}{n}\sum_{i=1}^{n}x(i)$

mean = 4.5+ 6.4+ 2.3+ 1.8+ 5.3 / 5

mean = 4.06

now we calculate the standard deviation i.e.

standard deviation = $\sqrt{\frac{1}{n-1}\sum (x(i)-mean)^2}$

standard deviation = $\sqrt{\frac{1}{5-1}\sum (x(i)-mean)^2}$

standard deviation = $\sqrt{\frac{1}{5-1} (4.5-5)^2+(6.4-5)^2 +(2.3-5)^2+(1.8-5)^2+(5.3-5)^2}$

standard deviation = $\sqrt{\frac{1}{4} (4.5-5)^2+(6.4-5)^2 +(2.3-5)^2+(1.8-5)^2+(5.3-5)^2}$

standard deviation = 2.226544

so 95 % confidence interval is i.e. mean +/- t(5) * standard deviation/ $\sqrt{n}$

here t(5) will be 2.45

95 % confidence interval= 4.06 +/- 2.45 * 2.226 / $\sqrt{5}$

95 % confidence interval= 1.62 and 6.50

4 0

3 years ago

53 26 11 35 16 61 47 39 50 46 58 10 <br> what is the mean average

bonufazy [111]

Answer:

37.66

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

If the height of the prism is tripled, how will the volume be affected?

OLga [1]

It would be the triple

4 0

3 years ago

Three students failed their last test. If 12% of the class failed, how many students are in the class?

stellarik [79]

Answer:

There are 25 students in the class.

Step-by-step explanation:

Let x be the number of students in the class

12% failed and the number of students is 3

x*12% = 3

x*.12 = 3

Divide each side by .12

x * .12 /.12 = 3/.12

x =25

There are 25 students in the class

3 0

3 years ago

Read 2 more answers

Mary buys a 10-meter spool of thread for sewing. She uses 210 centimeters. How much is left on the spool in centimeters?

Margaret [11]

100 cm = 1 meter

210 cm = 2.1 meters (multiply both sides by 2.1)

Mary uses 2.1 meters of thread so far, meaning she has 10-2.1 = 7.9 meters left

7.9 meters = (7.9 m)*(100 cm/1 m) = 790 cm

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

Alternate route:

10 meters = (10 m)*(100 cm/1 m) = 1000 cm

Mary uses 210 cm out of 1000 cm total, so she has 1000-210 = 790 cm left.

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

<h3>Answer: 790 cm</h3>

6 0

4 years ago