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shepuryov [24]
3 years ago
8

What is the volume of the triangular prism? A) 24cm

Mathematics
1 answer:
hoa [83]3 years ago
4 0
C is the correct .................
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Suppose that from the past experience a professor knows that the test score of a student taking his final examination is a rando
DENIUS [597]

Answer:

n=13.167^2 =173.369 and if we round up to the nearest integer we got n =174

Step-by-step explanation:

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

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".

Let X the random variable who represents the test score of a student taking his final examination. We know from the problem that the distribution for the random variable X is given by:

X\sim N(\mu =73,\sigma =10.5)

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

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

Solution to the problem

We want to find the value of n that satisfy this condition:

P(71.5 < \bar X

And we can use the z score formula given by:

z=\frac{\bar X- \mu}{\frac{\sigma}{\sqrt{n}}}

And we have this:

P(\frac{71.5-73}{\frac{10.5}{\sqrt{n}}} < Z

And we can express this like this:

P(-0.14286 \sqrt{n} < Z< 0.14286 \sqrt{n} )=0.94

And by properties of the normal distribution we can express this like this:

P(-0.14286 \sqrt{n} < Z< 0.14286 \sqrt{n} )=1-2P(Z

If we solve for P(Z we got:

P(Z

Now we can find a quantile on the normal standard distribution that accumulates 0.03 of the area on the left tail and this value is: z=-1.881

And using this we have this equality:

-1.881 = -0.14286 \sqrt{n}

If we solve for \sqrt{n} we got:

\sqrt{n} = \frac{-1.881}{-0.14286}=13.167

And then n=13.167^2 =173.369 and if we round up to the nearest integer we got n =174

6 0
3 years ago
What is the distance between -2.2 , 8.4 on a number line
leonid [27]

Answer:

10.2

Step-by-step explanation:

if u write is down with the decimals tgat and count that is what u would get also 2 plus 8 is ten and two pluse two is 41

5 0
2 years ago
Find the missing angle
RoseWind [281]
164 or sum like that don’t take this as a definite answer cause I am not sure
4 0
3 years ago
AB is included between<br><br> A. BC and AC<br> B. C. &lt; A and D. AB and BC
Novay_Z [31]

Answer:

Option C.

Step-by-step explanation:

By the property of unique triangles (ASA), one side is included between the two angles.

By this property, if included side of the triangle ABC is AB then this side will be included between the two angles A and B.

Therefore, \bar{AB} is included between ∠A and ∠B.

Option C. will be the answer.

5 0
2 years ago
Which number is a factor of 24, but not a multiple of 2
Montano1993 [528]
A factor of 24 but not 2 it would be 3
6 0
3 years ago
Read 2 more answers
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