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Varvara68 [4.7K]
3 years ago
7

List the common multiple of 42 and 14 . Help plzzzz 

Mathematics
1 answer:
Alborosie3 years ago
3 0
The answer is 42,84,126 and so on.(you keep on adding 42)
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A cone is placed inside a cylinder, as shown below. They have the same height and diameter. About how much space is inside the c
nadezda [96]

The space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

<h3>What is a cone?</h3>

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

We know the volume of the cylinder is given:

\rm V = \pi r^2 h

r = 10/2 = 5 FT

h = 12 FT

\rm V = \pi (5)^2 \times 12

V = 300π cubic FT

Volume of the cone:

\rm v = \dfrac{\pi r^2 h}{3}

\rm v = \dfrac{\pi (5)^2 \times 12}{3}

v = 100π cubic FT

Space is inside the cylinder but outside the cone = 300π - 100π

= 200π cubic FT

= 628.32 cubic FT

Thus, the space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

Learn more about the cone here:

brainly.com/question/16394302

#SPJ1

6 0
2 years ago
Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample
Vedmedyk [2.9K]

Answer:

P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172

Step-by-step explanation:

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".  

The population proportion have the following distribution

p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)

And we can solve the problem using the z score on this case given by:

z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}

We are interested on this probability:

P(0.26 \leq p \leq 0.43)

And we can use the z score formula, and we got this:

P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})

P(-2.726 \leq Z \leq 0.584)

And we can find this probability like this:

P(-2.726 \leq Z \leq 0.584)=P(Z

7 0
3 years ago
how many minutes is it before 12 noon if 20 minutes ago it was three times as many minutes after 9 am
Hunter-Best [27]
First, change everything into minutes.
12 noon is 12 by 60 which = 720 minutes.
9am is 9 by 12 which = 540 minutes.
X is now your number of minutes before noon.So noon - x is the next step:
720 - x
20 minutes ago it was 720 - x - 20
720 - x - 20= 540 + 3x (3x because you're looking for 3 times as many minutes)
720 - 20 - 540=4x (you combine all the like numbers and variables) 
160 = 4x
160/4= x
40 = x
Your answer is 40 minutes
<span>
</span>
7 0
3 years ago
You are given a box of 100 silver dollars, all facing heads up. You are instructed to shake the box 2 times; after the second sh
Nimfa-mama [501]
100 divided by 2 is 50 and then divided by 6 is 8.333333 but you just round that to 8$.
8 0
3 years ago
Read 2 more answers
Select the graph that best represents the solution set of the system of linear inequalities
Butoxors [25]
I think C
Hope it helps
3 0
3 years ago
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