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k0ka [10]
3 years ago
14

A school principal ordered 1000 pencils. He gave an equal number to each of seven teachers until he had given as many as possibl

e. How many pencils were left?
Mathematics
2 answers:
horrorfan [7]3 years ago
6 0
1000/7 = <span>142.857142857

Because this is not an even number we take "142", then times it by 7 teachers.

142*7= 994

1000 - 994 = 6 Pencils left</span>
monitta3 years ago
6 0
6 pencils were left
-1,000 divided by 7=142.86
-142x7=994
-1,000-994=6
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The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
mel-nik [20]

Answer:

0.018 is the required probability.              

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 60,000 miles

Standard Deviation, σ = 1500 miles

We are given that the distribution of tread life is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(brand will last between 56,850 miles and 57,300 miles)

P(56850 \leq x \leq 57300) = P(\displaystyle\frac{56850 - 60000}{1500} \leq z \leq \displaystyle\frac{57300-60000}{1500}) = P(-2.1 \leq z \leq -1.8)\\\\= P(z \leq -1.8) - P(z < -2.1)\\= 0.0359 - 0.0179 = 0.018= 1.8\%

P(56850 \leq x \leq 57300) = 1.8\%

0.018 is the probability a certain tire of this brand will last between 56,850 miles and 57,300 miles.

7 0
4 years ago
Pen has 1/2- cup and 1/8- cup measuring cups. What are two ways he could measure 1 3/4 cups of flour?
astraxan [27]
<span>You can get two half cups and then two eighth cups OR you can get fourteen eighth cups</span>
4 0
3 years ago
Read 2 more answers
A square of area 36cm is cut out to make two rectangles, which we'll call A and B. The ratio is 2:1 for A: B. Work out the lengt
mr_godi [17]

Answer:

*by length i mean height

Length of A = 6

Width of A = 4

Length of B = 6

Width of B = 2

Step-by-step explanation:

You can approach this question in many different ways, but this is how i did it. I prefer to draw diagrams whenever i can, it just makes it easier, but its your choice what you choose to do.

Since its a square, we know that both the original length and width are 6.

Depending on which way you cut it, either the length or width will stay the same for both rectangles, but you'd still be right. I assumed they were cutting it down the middle, so the length stays 6 for both A and B.

To find the width of A and B:

The width of the square is 6 and i divided that by 3, becauce the ratio is 2:1, which has three "parts" to it (2+1=3).

So now we have 3 parts, each with a width of 2. From the ratio, we know that the width of A has to be double the width of B.

From this i get, width of A = 4 and width of B =2.

If you check this against the ratio 2:1, you'll see its correct because 4:2 simplifies down to 2:1 as well.

* if you want to be extra sure of you answer you can do some trial and error with different values for B and see if it fits the ratio, but theoretically, nothing else should work.

So the final answer is:

Length of A = 6

Width of A = 4

Length of B = 6

Width of B = 2

Hope that helped :)

5 0
3 years ago
Which equation is the equation of a 10 cm radius circle with its center at begin ordered pair (3, -6)
IrinaVladis [17]
Work shown above! Answer would be C (3rd option)

4 0
3 years ago
a film canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation fo
sdas [7]

Answer:

Part a) The equation for the volume of the film canister is

32\pi=\pi r^{2}(8)

Part b) The radius of the film canister is 2\ cm

Step-by-step explanation:

<u><em>The complete question is</em></u>

A film canister in the shape of a cylinder has a height of  8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

where

r is the radius of the circular base

h is the height of the cylinder

we have

V=32\pi\ cm^3

h=8\ cm

substitute

32\pi=\pi r^{2}(8) ----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

32\pi=\pi r^{2}(8)

32\pi=8\pi r^{2}

Simplify

Divide by 8π both sides

4=r^{2}

square root both sides

r=2\ cm

6 0
4 years ago
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