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denis-greek [22]
3 years ago
8

Jori has 2 gallons of distilled water and uses 7/6 gallon in a science experiment. What fraction of a gallon does she have left?

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
5 0

Answer:

Step-by-step explanation:

6/6 = 1 gallon

12/6 = 2 gallons

12/6 - 7/6 = 5/6

5/6 should be the answer

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Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t
SVEN [57.7K]

Answer:

The minimum sample size required is 207.

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean <em>μ</em> is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error of this confidence interval is:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

Given:

MOE=3\\\sigma=29\\z_{\alpha /2}=z_{0.01/2}=z_{0.05}=2.576

*Use a <em>z</em>-table for the critical value.

Compute the value of <em>n</em> as follows:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=2.576\times \frac{29}{\sqrt{n}} \\n=[\frac{2.576\times29}{3} ]^{2}\\=206.69\\\approx207

Thus, the minimum sample size required is 207.

3 0
3 years ago
Round 525,600 to the nearest ten thousand
Tatiana [17]

Answer:530,000

Step-by-step explanation: ten thousand is the 2 so you would round the number to the right up or down and it is 5 so you round up

4 0
3 years ago
Y varies directly as x. If x = 15 when y = 20, find x when y = 30.
Goryan [66]

Answer:

22.5

Step-by-step explanation:

y=kx

20=k15

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5 0
3 years ago
Find the distance between the points (6,-4) and (0,5)
IrinaK [193]

Answer:

d = 10.8167

Step-by-step explanation:

The distance between two points can be easily found by using the following expression

d = √((x1-x2)^2 + (y1-y2)^2)

where

(x1,y1) = (6,-4)

(x2,y2) = (0,5)

d = √((6-0)^2 + (-4-5)^2)

d = √(36 + 81)

d = √(117)

d = 10.8167

4 0
2 years ago
Read 2 more answers
PLEASE HELP ME ASAP! WILL AWARD BRAINLIEST! IT'S ABOUT SIMULTANEOUS EQUATIONS. TYSM ;)
Hatshy [7]

Plug in your Y value into the bottom equation like so:

4x + 3x-3=11, combine like terms

7x-3=11 solve for x

7x= 14

x=2

Plug in x value into first equation

y = 3(2) -3

y= 6-3, y = 3

answer: (2,3)

7 0
2 years ago
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