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Mariana [72]
2 years ago
8

In a bag, Gary has 3 red marbles, 4 blue marbles, 7 yellow marbles, 5 green marbles, 6 purple marbles, and 8 clear marbles. What

is the least number of marbles he needs to pull out (assume that they are randomized) in order to ensure that he has at least 3 of the same color?
Mathematics
1 answer:
miskamm [114]2 years ago
6 0

Answer:

2220

Step-by-step explanation:

gcd of all numbers

3,4,7,5,6,8

2 = 3,2,7,5,3,4

2 = 3,1,7,6,3,2

2 = 3,1,7,5,3,1

3 = 1,1,7,5,1,1

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If h(x) = (fog)(x) and h(x) = 4sqrt x+7, find g(x) if f(x) = 4sqrt x+1
lbvjy [14]
I hope this helps you

3 0
3 years ago
The small copier makes 438 copies each day. The large copier makes 4 times as many copies each day. How many copies do both copi
atroni [7]

Answer:1752

Step-by-step explanation: So what you need to do is to multiply the number of copies that the small copier makes with the 4 because it says that it makes it 4 times what the smaller copier does.

5 0
3 years ago
When graphing a circle can the the radius be negitive?
Lerok [7]
No. The circle can be composed of completely negative coordinates, but the radius is always a positive value. You can prove this by plugging any point and the center into the distance formula.
3 0
3 years ago
Sally had 1000 photos to put into a photo album.She set 10 photos aside to place in frames.If her photo album fits 3 photos per
Kruka [31]

Answer:

Sally needed 330 pages of album to place her photos in it.

Step-by-step explanation:

Given:

Total number of photos = 1000

Number of photos kept aside to be place in frame = 10

Number of photos in per page of album = 3

We need to find the number of pages needed to place the photos in album.

Solution:

First we will find the number of photos to be place in album.

Now we know that she kept aside some photos which has to be frame framed.

So number of photos to be place in album can be calculated by Subtracting Number of photos kept aside to be place in frame from Total number of photos

framing in equation form we get;

number of photos to be place in album = 1000 - 10 = 990 photos

Now we will find number of pages needed to place the photos in the album.

number of pages needed to place the photos in the album can be calculated by dividing number of photos to be place in album with number of photos in per page of album.

framing in equation form we get;

number of pages needed to place the photos in the album = \frac{990}{3}= 330\ pages.

Hence Sally needed 330 pages of album to place her photos in it.

6 0
3 years ago
AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle
Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1339.9}{40} = 33.5

S.D = 11(given)

n = 40

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)

6 0
3 years ago
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