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3 years ago

418/36 as a mixed number HELP PLEASE

Mathematics

2 answers:

Ann [662]3 years ago

7 0

Answer:

11 11/18

Step-by-step explanation: a quick search

ki77a [65]3 years ago

4 0

Answer:

11 11/18

Step-by-step explanation:

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From 19 measurements of a pressure controller, the mean operating pressure is 4.97 kPa with a standard deviation of 0.0461 kPa.

Semenov [28]

Answer:

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

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".

$\bar X =4.97$ represent the sample mean

$\mu$ population mean (variable of interest)

s=0.0461 represent the sample standard deviation

n=19 represent the sample size

Confidence interval

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:

$df=n-1=19-1=18$

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(0.025,18)".And we see that $t_{\alpha/2}=2.10$

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

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

5 0

3 years ago

Find the area of the circle. Leave your answer in terms of π.

seraphim [82]

Answer:

4π

Step-by-step explanation:

We are asked to calculate the area of a circle whose diameter is equal to 4, we know that the area of the circle is given by the following equation:

A = π * (r ^ 2)

where r is the radius of the circle, we know that the radius of the circle is half the diameter, therefore:

r = d / 2 = 4/2

r = 2

replacing, we are left with:

A = π * (2 ^ 2)

A = 4π

Which means that the area of the circle is 4π

5 0

2 years ago

The largest angle in a triangle is three times as big as the smallest angle, and the middle angle is twice as big as the smalles

PtichkaEL [24]

Let X = smallest angle
largest 3x
middle=2x. add the 3 angles of any triangle and you get ,180

x+2x+3x=180
6x=180
x= 30
smallest =30
middle=60
largest=90

8 0

3 years ago

Whats the meaning of the tiatary industry

Vesna [10]

Answer:

Its the segment of the economy that provides services to its consumers, including a wide range of businesses such as financial institutions, schools and restaurants.

Step-by-step explanation:

Hope this helps and have a great day

4 0

3 years ago

Read 2 more answers

Question 8 (1 point)

sergey [27]

Y=-5x+4 y=7x+5 that is the line

3 0

3 years ago