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3 years ago

Three numbers have a mean of 64. When a fourth number is included the mean is doubled. What is the fourth number?

2 answers:

8 0

The mean is calculated by adding up all of the given numbers and dividing by the number of numbers.

Lets, for ease of understanding, say that the first three number were 64...

Mean=(64+64+64)/3=192/3=64

Now, lets solve for the mean where 'x' is the unknown fourth number and 128 is the mean. (since, the answer said that when the fourth number was added the mean, 64, was doubled '64*2=128')

128=(64+64+64+x)/4
128=(192+x)/4
Multiply both sides by 4
512=192+x
subtract 192 from both sides
320=x

The missing number is 320..

Now lets double check our work.

Mean=(64+64+64+320)/4=512/4=128

Answer=320

mojhsa [17]3 years ago

4 0

This is how i got the answer which is 16:

so first of all, if the mean is 64 then, u divide the 64/2 and u will get 32 so 32 + 32 would give u 64 but u wanna get the fourth number which 16 so then, u divide 32/2 which gets u the number 16 and then if u add up 16 + 16 + 16 + 16 = 64 so now 16 is the fourth number.

im sincerely sorry cuz i didn't know any other way to explain it but i hope this is correct!! :)

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What happens to the width of a confidence interval for a population mean if the level of confidence is increased without changin

natulia [17]

Answer: If the level of confidence is increased without changing the sample size then The margin of error will decrease because the critical value will decrease. The decreased margin of error will cause the confidence interval to be narrower.

where;

Margin of error = Critical value × Standard deviation

Here, it can be duly noted that Margin of error has a positive relation with critical value, i.e The margin of error will decrease because the critical value will decrease.

whereas;

The confidence interval is the value ± the margin of error.

Therefore, the decreased margin of error will cause the confidence interval to be narrower.

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3 years ago

Shelly and Mickelle are making a quilt. They have a piece of fabric that measures 48 inches by 168 inches.

irinina [24]

Answer:

(a) The largest square side is 24 inches

(b) No. of pieces are 14

Step-by-step explanation:

As per the question:

The dimensions of the fabric are $48 in\times 168 in$

(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:

$48 = 2\times 2\times 2\times 2\times 3$

$168 = 2\times 2\times 2\times 3\times 7$

Therefore,

The GCF of the dimensions = $48 = 2\times 2\times 2\times 3 = 24$

Therefore, the largest side of a square that can be cut from the fabric is 24 inches.

(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:

No. of pieces = $\frac{Total\ Area}{Area\ of\ largest\ square}$

No. of pieces = $\frac{48\times 168}{24\times 24}$ = 14

7 0

3 years ago

Read 2 more answers

PLZ HELP ASAP!!!! if pic doesn't come thru refresh page :)

worty [1.4K]

Jason likely missed placed the decimal, because 3 x 1 = 3, and if the decimal was between 2 and 5, the number would be near 3.

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3 years ago

For an equation 9-3x=21, the first step is

g100num [7]

Answer: A.Subtract 9 from both sides

Step-by-step explanation:

Answer A: Subtract 9 from both sides

Explanation: You want to solve the x from this equation, then the first thing is to put the number that has no valiable x to the other sides, so in this equations, we want to move 9 to the right side, so we subtract 9 from both sides.

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2 years ago

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Dora goes to a store and buys a phone originally priced at $45. The store is running a discount of 18%. What is the price of the

Alenkinab [10]

Answer: 8.1 $

Step-by-step explanation: 18 percent of 45 is 8.1 ez math hope this helps.

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2 years ago