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3 years ago

13

A cylinder has a base diameter of 20 meters and a height of 10 meters. What is it’s volume in cubic meters, to the nearest tenth

s place?

1 answer:

Korvikt [17]3 years ago

4 0

3141.6 cubic meters

Step-by-step explanation:

The volume of a cylinder is given by;

πr²h

π * (²⁰/₂)² * 10

π * 100 * 10

= 3141.6

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What is the z-score of a newborn who weighs 4,000 g?.

vagabundo [1.1K]

The z-score of the considered newborn having 4,000 g weight is $\dfrac{4000 - \mu}{\sigma}$

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

$X \sim N(\mu, \sigma)$

(X is following normal distribution with mean $\mu$ and standard deviation $\sigma$ )

then it can be converted to standard normal distribution as

$Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)$

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

$P(Z \leq z) = P(Z < z) )$

Also, know that if we look for Z = z in z tables, the p value we get is

$P(Z \leq z) = \rm p \: value$

For the considered case, the statement in the problem is missing the mean weight of the newborn and standard deviation of the data set of weights of newborn.

Thus, for them, we can consider variables in place of their actual values.

Let we have:

X = weights of newborns for some considered system (in grams)
$\mu$ = mean weight of newborns (in grams)
$\sigma$ = standard deviation of the data set of weights of newborns

Then, the z-score for X = 4000 is

$z = \dfrac{x - \mu}{\sigma} = \dfrac{4000 - \mu}{\sigma}$

Thus, the z-score of the considered newborn having 4,000 g weight is $\dfrac{4000 - \mu}{\sigma}$

Learn more about z-scores here:

brainly.com/question/13299273

3 0

2 years ago

Give an example of each of the following:

Igoryamba

Part a.

The function f(x) = sqrt(x-1) has the domain [1, infinity). We would solve x-1 >= 0 for x to get x >= 1 to ensure that the (x-1) expression is never negative. So the smallest x value we can plug in is x = 1. Recall that applying the square root to a negative number is not defined (assuming you are ignoring complex or imaginary numbers).

--------------------------------------------------------

Part b.

Pick any number you want. Then add on some other number. Let's say we pick 7 as our first number. Then let's say we add on 4. That gets us to 11. Add on 4 again and we jump up to 15. Do it again twice more and you have this sequence

7, 11, 15, 19, 23

which is arithmetic since we increase by the same amount (4) each time. The first term is 7 and the common difference is 4.

--------------------------------------------------------

Part c.

There are lot of options here. All we need to do is ensure that the slopes of each line are different. This will guarantee that the lines are not parallel. Non-parallel lines will always cross each other one time and one time only.

So one system we could have is

$\begin{cases}y = 2x+3 \\ y = 6x-7\end{cases}$

the slopes 2 and 6 are different so the system will have exactly one solution.

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2 years ago

For each of the sequence below identify whether there is a common ratio. If there is identity what it is. If there is not a comm

vfiekz [6]

yes

1.-3

2.3

3.10

4.2

5.3

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3 years ago

David & Dan share a lottery win of £9900 in the ratio 3 : 2. David then shares his part between himself, his wife & thei

elena55 [62]

Ummmmm I think skidoo's a

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2 years ago

What divided by 11 equals 2

Vlad1618 [11]

The answer is 22. Because 11+11=22 so if you divide 22 by 2 you'd get eleven

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3 years ago

Read 2 more answers