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galben [10]
2 years ago
8

A small box of pens costs $6. A large box of pens costs $8. The table shows the

Mathematics
1 answer:
Bezzdna [24]2 years ago
8 0
Answer:D.)(30,40)
Explanation: Multiple
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The given function models the number of cars that are put through a quality control test each hour at a car production factory.
Annette [7]

hours each day.

Step-by-step explanation:

The given function models the number of cars that are put through a quality control test each hour at a car production factory.

The given function is

We need to find the number of hours does the quality control facility operate each day.

Rewrite the given function it factored form.

Taking out the common factors from each parenthesis.

The factored form of given function is c(t)=-(t-10)(t+2).

Equate the function equal to 0 to find the x-intercept.

Number of hours cannot be negative. So from t=0 to t=10 quality control facility operate the cars.

Therefore the quality control facility operates for 10 hours each day.

7 0
3 years ago
Read 2 more answers
Homework is 25% of my grade, quizzes are 25% of my grade, and tests are 50% of my grade. I get a 100% on all 4 of my homework as
Arisa [49]

Answer:

25+25+50=100

no quiz

0% on test

for quiz,25% is lost

for test,50% is lost

50+25=75

100-75=25

answer is 25%

5 0
2 years ago
Read 2 more answers
An archaeologist uses an accelerator mass spectrometer to find the age of a buried branch. At the 68\%68%68, percent confidence
Komok [63]

Answer:

B. 10000 years old, with a margin of error of 400 years

Step-by-step explanation:

Assuming this complete problem: "12. An archaeologist uses an accelerator mass spectrometer to find the age of a buried branch. At the 68% confidence level, the spectrometer estimates that the branch was 10,000 years old with a following could the spectrometer estimate as the age of the branch at the 95% confidence level?"

The possible options are:

A. 9500 years old, with a margin of error of 500 years

B. 10000 years old, with a margin of error of 400 years

C. 9500 years olds, with a margin of error of 50 years

D. 10000 years old, with a margin of error of 40 year

Solution to the problem

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 represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

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

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

The margin of error for this case is given by this formula:

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

For the first case the confidence was 68% so then \alpha =1-0.68 =0.32 and \alpha/2 =0.16 we can find a critical value on the normal standard distribution that accumulates 0.16 of the area on each tail and this value is z=\pm 0.994, because P(z<-0.944) = 0.16 and P(Z>.944) = 0.16

The margin of error can be expressed like this:

ME = z_{\alpha/2} SE

We can solve for the standard error on this case and we got:

SE = \frac{ME}{z_{\alpha/2}} =\frac{200}{0.994}=201.207

And then for the new confidence interval we need to calculate the new z_{\alpha}. For the first case the confidence was 95% so then \alpha =1-0.95 =0.05 and \alpha/2 =0.025 we can find a critical value on the normal standard distribution that accumulates 0.025 of the area on each tail and this value is z=\pm 1.96, because P(z<-1.96) = 0.025 and P(Z>1.96) = 0.025. So then the new margin of error would be:

ME = z_{\alpha/2} SE = 1.96*201.207=394.366

The estimation for the mean not changes and from the before and new case is 1000 years. So then the best option for this case would be:

B. 10000 years old, with a margin of error of 400 years

And makes sense since a larger confidence interval means a wider interval.

8 0
3 years ago
1. Use the following graph to determine the coordinated of the y-intercept.
jarptica [38.1K]

Answer:

I believe it's C. (0.4)

Step-by-step explanation:

6 0
2 years ago
The # of taxi accidents is approximated by y = -143.3x^2 + 1823.3x + 6820 and the # of injuries is approximated by y = -416.72x^
spin [16.1K]
To analyze the problem first is to arrange the equations according to their uses:
# of taxi accident y = -143.3X^2+1823.3x+6820
# of injuries y = -416.72X^2+4416.7x+8500
So the answer if X = 9 will be represented by 1999
# of taxi accident y = 11622.4
# of injuries y = 14495.98
I hope you understand the answer and feel free to ask for more.
3 0
3 years ago
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