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attashe74 [19]
3 years ago
11

A copy machine makes 36 copies per minute. How long does it take to make 126 copies?

Mathematics
2 answers:
Annette [7]3 years ago
7 0

Answer:

It will take 3.5 minutes to make 126 copies

Step-by-step explanation:

love history [14]3 years ago
7 0

Answer:

Step-by-step explanation:

We can do 126/36 to get our answer since 126 is the total copies and 36 is the copies we can do in a minute. 126/36 = 3.5 so it will take 3.5 minutes.

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If a line has a slope of 4 and contains the point (-2,5), what is its equation in slope form?
melomori [17]

Answer:

y-y1=m(x-x1)

y-5=4(x + 5)

y-5=4x+20

5. 5

y = 4x + 25

6 0
2 years ago
A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken
mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

X=1 number of citrus trees that are infected with the citrus red mite.

n=5 random sample taken

\hat p=\frac{1}{5}=0.2 estimated proportion of citrus trees that are infected with the citrus red mite.

p true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical values we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values would be given by:

t_{\alpha/2}=-1.96, t_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.2(1-0.2)}{(\frac{0.01}{1.96})^2}=6146.56  

And rounded up we have that n=6147

5 0
3 years ago
the long jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of wood to frame in the pit.
Keith_Richards [23]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
Find the volume of each prism. Round to the nearest tenth if necessary. (Please give explanation if you can)
Gnom [1K]

Answer:9

Step-by-step explanation:

Because things are better guessed

4 0
3 years ago
Find the value of x<br><br> (look at screenshot below)
Black_prince [1.1K]

Answer:

x = 25

Step-by-step explanation:

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120 - 70 = (70 - 70) + 2x

50 = 2x

50/2 = 2x/2

x = 25

5 0
3 years ago
Read 2 more answers
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