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sergeinik [125]
2 years ago
7

Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 o

f them ate fruit during lunch. If Katie sample is representative, which of the following is closest to the number of 1,560 students at her school who eat fruit at lunch?
Mathematics
1 answer:
LenKa [72]2 years ago
6 0

Answer:

52 / 1,560

Step-by-step explanation:

18 / 30

? / 1,560

1,560 / 30 = 52

52 / 1,560

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Cindy has 6 identical pink candies and 8 identical green candies. Find the number of ways that Cindy can line up her candies in
Daniel [21]

Answer:

175 ways

Step-by-step explanation:

Form a partition into 2 or 3 parts and the number of ways.

Pink candies

[1,5](2) , [2,4](2) , [3,3](1) , [1,4](3), [1,2,3](6) , [2,2,2](1)

Green candies

[1,7](2) , [2,6](2) , [3,5](2) , [4,4](1) , [1,1,6](3) , [1,2,5](6) , [1,3,4](6) , ,[2,2,4](3) , [2,3,3](3)

Number of ways will be:

(2+2+1) (2+6+6+3+3) + (3+6+1)(2+2+2+1)

Number of ways =( 5×21) + (10×7) = 175ways

4 0
3 years ago
Which ordered pair is a solution to this equation?
hjlf
The answer to this is (11, 1).
4 0
3 years ago
A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea
erma4kov [3.2K]

Answer:

the volume of the sphere is

33.51 in^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v =   64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

v= l*b*h

v=l^{3}

64= l^{3}

l= \sqrt[3]{64}

l= 4 in

also diameter d=length l

Diameter d=  4in

Radius r =  \frac{d}{2}= \frac{4}{2}= {2 in}

Height h=4in

we know that the volume of a sphere is given by

v= \frac{4}{3} \pi r^{3}

substituting into the formula we have

v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}

8 0
3 years ago
Find the unknown number 3m = 0.27
melisa1 [442]

Answer: 0.09

Step-by-step explanation:

Divide 0.27 by 3

M=.09

8 0
3 years ago
After a lesson on exponents,Tia went home and said to her mom,"I learned that 10 to the power of 4 is the same as 40,000." She h
White raven [17]

Tia went home and said to her mom,"I learned that 10 to the power of 4 is the same as 40,000."

Tia made a mistake in her thinking. Exponent represents the number of zeros.

10^4 means we multiply 10 four times

10^4= 10*10*10*10=10000

For exponent 4, we put 4 zeros. So answer is 10,000.


6 0
3 years ago
Read 2 more answers
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