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2 years ago

1.

Mathematics

1 answer:

JulijaS [17]2 years ago

7 0

Using it's concept, the probability is given as follows:

P(more than 1 hour of TV | 6th period class) = 0.647 = 64.7%.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, from the table, we have that there are 11 + 6 = 17 students in 6th period class, of which 11 watched more than 1 hour of TV, hence the probability is given by:

P(more than 1 hour of TV | 6th period class) = 11/17 = 0.647 = 64.7%.

More can be learned about probabilities at brainly.com/question/14398287

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Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines for how small com

Ymorist [56]

Answer:

a) $183-1.984\frac{20}{\sqrt{100}}=179.032$

$183+1.984\frac{20}{\sqrt{100}}=186.968$

So on this case the 95% confidence interval would be given by (179.032;186.968)

b) $190-1.984\frac{23}{\sqrt{100}}=185.437$

$190+1.984\frac{23}{\sqrt{100}}=194.563$

So on this case the 95% confidence interval would be given by (185.437;194.563)

c) For Summer the confidence interval was (179.032;186.968) and as we can see our upper limit is <190 so then we can conclude that they are below the specification of 190 at 5% of significance

For Winter the confidence interval was (185.437;194.563) and again the upper limit is <190 so then we can conclude that they are below the specification of 195 at 5% of significance

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 for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Part a : Summer

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=100-1=99$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,99)".And we see that $t_{\alpha/2}=1.984$

Now we have everything in order to replace into formula (1):

$183-1.984\frac{20}{\sqrt{100}}=179.032$

$183+1.984\frac{20}{\sqrt{100}}=186.968$

So on this case the 95% confidence interval would be given by (179.032;186.968)

Part b: Winter

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=100-1=99$

Now we have everything in order to replace into formula (1):

$190-1.984\frac{23}{\sqrt{100}}=185.437$

$190+1.984\frac{23}{\sqrt{100}}=194.563$

So on this case the 95% confidence interval would be given by (185.437;194.563)

Part c

For Summer the confidence interval was (179.032;186.968) and as we can see our upper limit is <190 so then we can conclude that they are below the specification of 190 at 5% of significance

For Winter the confidence interval was (185.437;194.563) and again the upper limit is <190 so then we can conclude that they are below the specification of 195 at 5% of significance

5 0

3 years ago

The lines represented by the equations y = -X – 3 and

Kruka [31]

Answer:

The lines represented by the equations y = -X – 3 and

5y + 5x = -15

Step-by-step explanation:

neither are parallel nor perpendicular

Submit Answer

the same line

parallel

perpendicular

What is the answer?

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3 years ago

What is the volume of the cylinder

lora16 [44]

Answer:

C: 9076.3 cm^3

Step-by-step explanation:

Use the formula for the volume of a cylinder.

V=πr^2 times h

h=25

Here, I'm assuming 21.5 cm is the diameter, so divide 21.5 cm by 2 to get 10.75 as r.

V=(10.75^2)π times 25

115.5625π times 25

This is about 2889π

This simplifies best to choice C, which is about 9076.3 cm^3

However, if I was wrong about 21.5 cm being the diameter, my answer is wrong. If 21.5 cm is r, choice D is the correct answer. If 21.5 cm is the diameter, C is the answer.

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Explanation: Just add like terms, picture is attactched

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3 years ago

Read 2 more answers

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madam [21]

They look correct to me!

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4 years ago