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2 years ago

An art teacher needs to buy at least 60 brushes for her class. The brushes are sold in packs of 8.

Mathematics

1 answer:

kari74 [83]2 years ago

4 0

Answer:

The art teacher needs to buy at least 8 packs of 8 brushes.

Step-by-step explanation:

Every pack has 8 brushes. She needs AT LEAST 60 so she cannot have less than 60 brushes but can have more than 60. 8 x 8 =64 so she would have 4 bushes left over. She needed to buy 8 packs so she can have at least 60.

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which function increases at a faster rate on 0 to infinity, f(x) = x2 or g(x) = 2x? explain your reasoning

Tcecarenko [31]

F(x) = x² increases at a faster rate than g(x) = 2x.

f(x)

Reason:

x = 0, 1, 2, 3, 4, 5, 6, 7

f(x) = 0, 1, 4, 9, 16, 25, 36, 49

g(x) = 0, 2, 4, 6, 8, 10, 12, 14.

Comparing the values of f(x) and g(x), we can see that that of f(x) are far higher than that of g(x) for the same values of x.

So f(x) increases at a faster rate.

7 0

2 years ago

Read 2 more answers

The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv

Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

Step-by-step explanation:

Previous concepts

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".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

5 0

2 years ago

Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?

saul85 [17]

Answer:

y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

we have

$m=\frac{1}{2}$

$(5,1)$

substitute

$y-1=\frac{1}{2}(x-5)$

5 0

1 year ago

Read 2 more answers

the garza family drives to a state park. the remaining distance, in miles, to reach the state park is 285−60x , where x represen

alukav5142 [94]

285 - 60x ; where x represents the number of driving hours.

285 ⇒ The total distance to the state park.
60x ⇒ The number of miles driven after x hours.
60 ⇒ The number of miles driven after 1 hour.

y = 285 - 6x
y ⇒ The number of miles left to drive each day.

5 0

2 years ago

Read 2 more answers

A scientist measures a substance to be 0.8 grams. Calculate the percent of error in the measurement. Show all work for full cred

Volgvan

You'll need to give a bit more information for the question to be answered. You can only calculate the percentage of error if you know what the mass of the substance *should be* and what you've *measured* it to be.

In other words, if a substance has a mass of 0.55 grams and you measure it to be 0.80 grams, then the percent of error would be:

percent of error = { | measured value - actual value | / actual value } x 100%

So, in this case:

percent of error = { | 0.80 - 0.55 | / 0.55 } x 100%
percent of error = { | 0.25 | / 0.55 } x 100%
percent of error = 0.4545 x 100%
percent of error = 45.45%

So, in order to calculate the percent of error, you'll need to know what these two measurements are. Once you know these, plug them into the formula above and you should be all set!

6 0

2 years ago