1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
larisa86 [58]
3 years ago
6

Greg started with a certain number of quarters. He then decided on a number of quarters he would save each day. He added the qua

rters he saved to the amount with which he started. At the end of day 2, Greg had a total of 26 quarters saved. At the end of day 5, he had a total of 35 quarters saved. A. How many quarters does Greg start with? Show or explain your work. B. Write an equation to model the number of quarters Greg has saved, y, after x days. C. Using the rate at which Greg is saving, explain why he can never have exactly 100 quarters saved by the end of any given day.
Mathematics
1 answer:
lbvjy [14]3 years ago
3 0
He started with 17 quarter's. He had a certain number of quarters he added to his collection each day, on day two he had 26, and two days later he had 35, meaning he increased the amount of quarters my 9 over two day's, so I subtracted 9 from 26 because if you do you can remove the quarters he added in from the ones he started with, so the answer is: He started with 17.
You might be interested in
Last winter, Anne was charged $838.35 for 9,315 KWh of electricity. What did her company charge per killowatt hour of electricit
DaniilM [7]
To solve this do:

838.35/9315= 0.09.

This means the company charged $.09 for every kilowatt of electricity used.
6 0
3 years ago
A government report gives a 99% confidence interval for the proportion of welfare recipients who have been receiving welfare ben
juin [17]

Answer:

The estimation for the proportion for this case is \hat p = 0.21

And we know that the 99% confidence interval is given by:

0.21 \pm 0.045

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

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

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

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".  

Solution to the problem

The population proportion have the following distribution  

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

The confidence interval would be given by this formula  

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

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.58

The estimation for the proportion for this case is \hat p = 0.21

And we know that the 99% confidence interval is given by:

0.21 \pm 0.045

So then the margin of error at 99% of confidence is 0.045, and the margin of error is given by this formula:

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

If we decrease the confidence level this margin of error can't be higher than 0.045 so then the correct answer for this case would be:

d. 21% ± 4.8%

Because if the z value decrease from 2.58 to 1.96 not makes sense that the margin of error increase from 0.045(4.5%) to 0.048(4.8%)

5 0
3 years ago
Use the Binomial Theorem to expand each binomial (2x-1)^6
pantera1 [17]
64x^6 - 192x^5 + 240x^4 - 160x^3 + 60x^2 - 12x + 1
8 0
3 years ago
A rectangular prism has a length of 5 meters, a width of 634 meters, and a height of 312 meters.
olga_2 [115]
The answer is 405,076 meters.
3 0
3 years ago
1. Consider a lottery with three possible outcomes:-$125 will be received with probability 0.2-$100 will be received with probab
Norma-Jean [14]

Answer:

The expected value of the lottery is $80

Step-by-step explanation:

To get the expected value, we have to multiply each outcome by its probability

Then we proceed to add up all of these to get the expected value of the lottery

we have this as ;;

125(0.2) + 100(0.3) + 50(0.5)

= 25 + 30 + 25 = $80

3 0
3 years ago
Other questions:
  • It costs the factory $4 to make each Part A. About how much dors it cost to make Part A each month?
    5·1 answer
  • T=3n-1 what is the 6th term
    14·2 answers
  • What are the solutions to the quadratic equation below?<br> 3x2 +16x + 21 = 0
    14·2 answers
  • The decimal number 0.75 means:
    11·1 answer
  • If 4 men in 5 days eat 7 pounds of bread how much will be sufficient for 16 men in 15 days ?
    11·1 answer
  • The sum of fifteen and six times a number t is 81
    8·2 answers
  • There are 10 women and 3 men in room A. One person is picked at random from room A and moved to room B, where there are already
    7·1 answer
  • At Gms there are 5 females for every 4 males. if there are 372 males, then how many females are there​
    5·2 answers
  • If x = 3.5: (4x - 2)/10
    14·1 answer
  • Find the volume of this triangular prism.<br> 6 cm<br> 7 cm<br> 10 cm
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!