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SashulF [63]
3 years ago
7

The function f (x) = .85x+3.99 models the total cost of purchasing x key chains from an internet company that charges shipping t

he function g (x) = 1.10x models the total purchasing of x number of the same key chains from an company that does not charge shipping. Rounding to the nearest whole number what is the best approximation of the number of key chains for which the two companies charge the same amount?
Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

16 key chains

Step-by-step explanation:

Given

f(x) = 0.85x + 3.99 ---company A

g(x) = 1.10x --- company B

Required

Value of x when f(x) = g(x)

We have:

f(x) = g(x)

0.85x + 3.99 = 1.10x

Collect like terms

0.85x - 1.10x = -3.99

-0.25x = -3.99

Solve for x

x = \frac{-3.99}{-0.25}

x = 15.96

x= 16 --- approximated

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What is the distance between -10 and 5 on the number line?
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Answer:

the distance is 15

Step-by-step explanation:

because if we take away the negative on the -10 and make it positive 10 and add 5 it would be 15 spaces

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3 years ago
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
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2 years ago
Elderly drivers. In January 2011, The Marist Poll published a report stating that 66% of adults nationally think licensed driver
katrin [286]

Answer:

(a) Hence, the margin of error reported by The Marist Poll was correct.

(b) Based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65.

Step-by-step explanation:

We are given that the Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age.

It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level.

(a) <u>Margin of error formula is given by;</u>

             Margin of Error =  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

where, \alpha = level of significance = 1 - 0.95 = 0.05 or 5%

Standard of error =  \sqrt{\frac{\hat p(1-\hat p)}{n} }

Also, \hat p = sample proportion of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age = 66%

n = sample of American adults = 1.018

The critical value of z for level of significance of 2.5% is 1.96.

So, <em>Margin of Error </em>=  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

                                =  1.96  \times \sqrt{\frac{0.66(1-0.66)}{1,018} } = 0.03 or 3%

Hence, the margin of error reported by The Marist Poll was correct.

(b) Now, the pivotal quantity for 95% confidence interval for the population proportion who think that licensed drivers should be required to retake their road test once they turn 65 is given by;

                   P.Q. =  \frac{\hat p-p}{ \sqrt{\frac{\hat p(1-\hat p)}{n} }}  ~ N(0,1)

So, <u>95% confidence interval for p</u> =  \hat p \pm \text{Margin of error}

                                                        =  0.66 \pm 0.03

                                                        =  [0.66 - 0.03 , 0.66 + 0.03]

                                                        =  [0.63 , 0.69]

Hence, based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65 because the interval does not include the value of 70% or more.

7 0
3 years ago
Sole the question l2l​
Feliz [49]

what question theres none

4 0
2 years ago
there are six muffins in a package how many packages will be needed to feed 48 people if each person has two muffins
wolverine [178]

Answer:

16 packages of muffins

Step-by-step explanation:

1) First you need to find out how many muffins you need total. If each person has two muffins and there are 48 people, how muffins would that be? To find out, multiply 48 and 2 together.

48 * 2 = 96

So now we know that we must have 96 muffins in total

2) Now we have to find out how many muffin packages we will need. If there are 6 muffins in each package and we need to have 96 muffins in total, how many packages will we need? To find out, divide 96 by 6.

96/6 = 16


From this we know that you will need 16 packages

3 0
3 years ago
Read 2 more answers
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