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3 years ago

The set of all even natural numbers less than 14

Mathematics

2 answers:

Aliun [14]3 years ago

6 0

I think it would be 2, 4, 6, 8, 10, And 12.

lesya [120]3 years ago

3 0

The set of all even numbers less that fourteen would include 2,4,6,8,10,and 12.

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A rectangle with vertices A(6, 0), K(0,0), L(0,9), and M(6, 9) is rotated around the x-axis. To the nearest tenth of a cubic uni

koban [17]

Answer:

1526.0 cubic units

Step-by-step explanation:

Rotating rectangle AKLM you will get cylinder with height KA and base radius KL. From the given data

$KA=\sqrt{(6-0)^2+(0-0)^2}=6,\\ \\KL=\sqrt{(0-0)^2+(9-0)^2}=9.$

The volume of the cylinder is

$V_{cylinder}=\pi r^2\cdot H.$

Then

$V_{cylinder}=\pi \cdot 9^2\cdot 6=486\pi \approx 1526.0\ un^3.$

7 0

3 years ago

5 and X. X is a 1-digit number. X is not 1. What number is X?

lesantik [10]

Answer:

X could be 2, 3, 4, 5, 6, 7, 8, or 9.

So, your final answer could be either 52, 53, 54, 55, 56, 57, 58, or 59.

6 0

2 years ago

Motorola used the normal distribution to determine the probability of defects and the number

vovangra [49]

Answer:

a.P<x<9.85 orx>10.15)=0.3174, Total defects=317.4

b.p=0.0026,total defects=2.6

c.Less of the items produced will be classified as defects.

Step-by-step explanation:

a.The standard score,z, is esentially x reduced by process mean then divided my process standard deviation.

$\mu=10,\sigma=0.15\\Therefore:-\\z=\frac{x-\mu}{\sigma}=\frac{9.85-10}{0.15}\approx-1.0\\z=\frac{x-\mu}{\sigma}=\frac{10.15-10}{0.15}\approx+1.0\\P(x10.15)=P(Z+1.0)\\=2P(Z$

Total defects=Production*Probability

=0.3174*1000

$=317.4$

b. $\mu=10,\sigma=0.05$

therefore:-

$z=\frac{x-\mu}{\sigma}=\frac{9.85-10}{0.05}\approx-3.0\\z=\frac{x-\mu}{\sigma}=\frac{10.15-10}{0.05}\approx+3.0\\\\=P(x10.15)=P(Z+3.0)\\=2P(Z$

Defects=Probability*Production

=0.0026*1000

=2.6

c.Reducing process variation results in a significant reduction in the number of unit defects.

3 0

3 years ago

A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data greater tha

ankoles [38]

P(x > 6.9) = 1 - P(x < 6.9) = 1 - P[z < (6.9 - 5.1)/0.9] = 1 - P(z < 2) = 1 - 0.97725 = 0.02275.

Therefore P(x > 6) is about 2.5%

6 0

3 years ago

Finding the area of this parallelgram

Shkiper50 [21]

The area of the parallelogram with a height of 13cm and base 20cm is 260cm².

<h3>How to find area of a parallelogram?</h3>

A parallelogram is simply a quadrilateral with two pairs of parallel sides.

The area of a parallelogram is expressed as;

A = base × height

Given the data in the diagram;

Height of the parallelogram = 13cm
Base of the parallelogram = 20cm
Area of the parallelogram = ?

Plug the given values into the equation above and solve for A.

A = base × height

A = 20cm × 13cm

A = 260cm²

The area of the parallelogram with a height of 13cm and base 20cm is 260cm².

Learn more about parallelogram here: brainly.com/question/1563728

#SPJ1

7 0

1 year ago