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3 years ago

If M is a multiple of 3 and 7 then it is a multiple of 21

Mathematics

1 answer:

Jobisdone [24]3 years ago

8 0

Answer:

It will be true , it is a multiple of 21

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This is the first year Janis is playing softball. She has been practicing her batting. On her last swing the bat made an arc wit

Aleksandr-060686 [28]

Answer:

a) 60π inches

b) 5π feet

Explanation:

The arc length of a circular sector is related to the swept angle by the proportion:

$\dfrac{arc\text{ }length}{2\pi \cdot radius}=\dfrac{angle}{360\º}$

Here you have:

arc length: ?
radius: 48 inches
angle: 225º

Substitute and solve for the arc length:

In inches:

$arc\text{ }length=\dfrac{225\º}{360\º}\times 2\pi (48in)}=60\pi$ inches

Convert to feet:

Use the conversion factor: 1 feet = 12 inches

$60\pi\text{ }in\times\dfrac{1ft}{12in}=5\pi ft$

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4 years ago

Determine the most precise name for the quadrilateral with vertices at A(–7, –2), B(0, 2), C(4, –5), and D(–3, –9).

Ghella [55]

All angles are 90 degrees, which cancels out a kite and a rhombus, leaving you with two options (rectangle or square). Using Pythagoras' theorem, you can work out that all sides are also of equal length, which means this shape is a square :)

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4 years ago

Work out the surface area of this solid prism. 29cm 25cm 20cm 40cm 36cm

dusya [7]

Is there a picture that goes with this?

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3 years ago

On a particular production line,the likelihood that a light bulb is defective is 5%. Ten light bulbs are randomly selected. What

KengaRu [80]

Answer:

Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.

Step-by-step explanation:

Consider the provided information,

Let X is the number of defective bulbs.

Ten light bulbs are randomly selected.

The likelihood that a light bulb is defective is 5%.

Therefore sample size is = n = 10

Probability of a defective bulb = p = 0.05.

Therefore, q = 1 - p = 1 - 0.05 = 0.95

Mean of binomial random variable: $\mu=np$

Therefore, $\mu=10(0.05)=0.5$

Variance of binomial random variable: $\sigma^2=npq$

Therefore, $\sigma^2=10(0.05)(0.95)=0.475$

Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.

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3 years ago

A cube and the net for the cube are shown. What is the suface area of this cube? A. 48 mm, B.64 mm, C.112 mm, D.384 mm.

Sonja [21]

Your answer would be (D) because 8*8 is 64. Then you multiply 64 by 6 since their are 6 sides to cube, and 384 mm³ is what you would get. Hope this helps!

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3 years ago