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Naily [24]
3 years ago
11

Find the volume of the cylinder if the radius is 4.5cm and the height is 8cm. Use 3.14 for TT

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Answer:

508.68cm²

Step-by-step explanation:

Volume of a cylinder = πr²h

given r=4.5 cm h =8cm and π=3.14

so volume=

3.14×4.5×4.5×8

=508.68cm²

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pochemuha

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A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. Teh mean is 73, wit
zavuch27 [327]

Answer:

The bottom for an A is 75. Round to the nearest whole number as needed.

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 the scores on this case, and for this case we know the distribution for X is given by:

X \sim N(\mu=73,\sigma=7)  

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}})

2) The bottom for an A is _____. Round to the nearest whole number as needed.

And we want the top 5.5% of the scores, so we need a value a such that:

P(X>a)=0.055 or P(X

We need on the right tail of the distribution a value a that gives to us 94.5% of the area below and 5.5% of the area above. Both conditions are equivalent.

Let's use the condition P(X, the best way to solve this problem is using the z score with the following formula:

z=\frac{x-\mu}{\sigma}

So we need a value from the normal standard distribution that accumulates 0.945 of the area on the left and 0.055 on the right. This value on this case is 1.598 and we can founded with the following code in excel:

"=NORM.INV(0.945,0,1)"

If we apply the z score formula to our case we have this:

P(X

So then based on the equalities we have this:

\frac{a-73}{7}=1.598

And if we solve for a we got:

a=(7*1.598) +73=84.186

So then we need a score of 84.186 rounded to the nearest whole number 75 or higher in order to get an A

8 0
3 years ago
Which of the following is equal to the square root of the cube root of 6?
stiks02 [169]

The correct answer is: [A]: " 6 to the power of (1 over 6) " .

Explanation:

________________________

√ [(∛6)] = √ [6⁽¹/³⁾ ] = [6⁽¹/²⁾ ] ⁽¹/³⁾ = 6^ ( ⁽¹/²⁾ * ⁽¹/³⁾ ) = ???? ;


<u>Note</u>: \frac{1}{2}  *\frac{1}{3}      =   \frac{(1*1)}{(2*3)}    =   \frac{1}{6} ;

________________________

→ 6^ ( ⁽¹/²⁾ * ⁽¹/³⁾ ) ;

= 6^ ( ⁽¹/⁶⁾ ) ;

→ which is: Answer choice: [A]: " 6 to the power of (1 over 6) " .

________________________

7 0
3 years ago
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Can someone help me, im really stuck.
tresset_1 [31]

Answer:

(x/4) +1 OR (4/x)+1

Step-by-step explanation:

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Tony flips a coin and gets heads. He tells his friend that he can get heads two more times in a row .what is the probability tha
Sergio [31]

Answer:

The probability is 1/8 or 0.125

Step-by-step explanation:

In this question, we are concerned with calculating the probability that when a coin is flipped there would be a show of heads three times.

In flipping of a coin, there are only two possible results with equal probability. The probability of both events i.e P(H) and P(T) is equal and that is 1/2

Thus the probability of getting heads three times in a row will be P(HHH) meaning P(H) and another P(H) and another P(H)

When we have and in a probability question, that means we are to multiply the probabilities together.

Hence, P(HHH) = 1/2 * 1/2 * 1/2 = 1/8

7 0
3 years ago
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