What is the solution to the open sentence?

What divided by 8 equals 2.5

Mama L [17]

Answer:

20

Step-by-step explanation:

Do the opposite to get the answer

8*2.5=20

Then to check it

20/8=2.5

5 0

4 years ago

Read 2 more answers

A simple random sample of size nequals=8181 is obtained from a population with mu equals 77μ=77 and sigma equals 27σ=27. (a) De

ivanzaharov [21]

Answer:

a) $P(\bar X>81.5)=1-0.933=0.067$

b) $P(\bar X$

c) $P(73.4$

Step-by-step explanation:

1) Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=77,\sigma=27)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

On this case $\bar X \sim N(77,\frac{27}{\sqrt{81}})$

Part a

We want this probability:

$P(\bar X>81.5)=1-P(\bar X$

The best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

If we apply this formula to our probability we got this:

$P(\bar X >81.5)=1-P(Z$

$P(\bar X>81.5)=1-0.933=0.067$

Part b

We want this probability:

$P(\bar X\leq 69.5)$

If we apply the formula for the z score to our probability we got this:

$P(\bar X \leq 69.5)=P(Z\leq \frac{69.5-77}{\frac{27}{\sqrt{81}}})=P(Z$

$P(\bar X\leq 69.5)=0.0062$

Part c

We are interested on this probability

$P(73.4$

If we apply the Z score formula to our probability we got this:

$P(73.4$

$=P(\frac{73.4-77}{\frac{27}{\sqrt{81}}}$

And we can find this probability on this way:

$P(-1.2$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-1.2$

3 0

4 years ago

What is the surface area of a half sphere with a diameter of 16?

qwelly [4]

Answer:

603.185789 m2

Step-by-step explanation:

603.185789 m2 or 192 π m2

formula is $3\pi r^2$ :

3 x pi x 8^2 = 603.185789489

3 0

2 years ago

Which of the following is most likely the next step in the series?

patriot [66]

It would be B because each shape is losing one point

3 0

2 years ago

I need an explanation for this pleaseee

Alexxx [7]

Answer:

acute angle

Step-by-step explanation:

it is very simple question because when small terminal us in 10 and big 8ne is on 12 in the 12 hour clock then it is found an acute angle

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3 0

3 years ago