Ask question

Ask question

All categories

2 years ago

15

The amount of money (in dollars) that it costs to purchase x square feet of carpet is given by f(x)=5.6x. The installation fee i

s $115 more than 4% of the cost of the carpet. Write a function g that represents the installation fee. Then use this function to find the installation fee for 150 square feet of carpet.

1 answer:

iren [92.7K]2 years ago

8 0

Answer:

the installation fee is $104.40

Step-by-step explanation:

You might be interested in

Ali and Renu are buying concert tickets from a web site. There is an 18% 18 % service fee for every ticket bought from the si

adelina 88 [10]

$ 25 was the cost of each ticket before applying the service fee.

<u>Step-by-step explanation:</u>

Given that the cost of two tickets including the service fee = $59

So, the cost of one ticket including the service fee = $\frac{59}{2} = \$ 29.5$

Service fee on each ticket = 18%

Let the cost of 1 ticket without including the service fee = x

So, according to the data given in the question,

$x+18 \% \text { of } x=29.5$

$x+\frac{18}{100} \times x=29.5$

$x+0.18 x=29.5$

$1.18 x=29.5$

$x=\frac{29.5}{1.18}=25$

Hence, cost of each ticket before applying the service fee = $25

3 0

2 years ago

CHEGG When testing the claim that bags of M&M candies will have less than 3% broken pieces, which of the following would be

Vadim26 [7]

Answer:

H0: p ≥ 0.03 Ha: p < 0.03

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

On this case we want to test is $p$ , where:

$p$ represent the true proportion for the population of broken pieces

What we want to proof need's to be on the alternative hypothesis and the complement on the null hypothesis.

So the correct system of hypothesis for this case would be:

Null hypothesis: $p\geq 0.03$

Alternative hypothesis: $p < 0.03$

H0: p ≥ 0.03 Ha: p < 0.03

5 0

2 years ago

According to a Los Angeles Times study of more than 1 million medical dispatches from 2007 to 2012, the 911 response time for me

Reil [10]

Answer:

a) $\bar X=10.65$

$Median =\frac{10.7+10.7}{2}=10.7$

$Mode= 10.7$

b) $Range = 11.8-8.3=3.5$

$s= 0.948$

c) $IQR = Q_3 -Q_1 = 11.05-10.55=0.5$

And we can find the usual limits with:

$Lower = Q_1 -1.5 IQR = 10.55 -1.5*0.5=9.8$

$Upperer = Q_3 +1.5 IQR = 10.55 +1.5*0.5=11.3$

And since 8.3 <9.8 we can consider this value too low or as an outlier for this case.

d) The mean for this case was 10.65 and the usual values are between 9.8 and 11.3, so as we can see all are above the specified value of 6 minutes, and we can conclude that the times are not satisfying the quality standards for this case.

And they should be considered apply some strategies to reduce the response time, adding more stations around points selected at the city could be useful in order to reduce the response time.

Step-by-step explanation:

We have the following data:

11.8 10.3 10.7 10.6 11.5 8.3 10.5 10.9 10.7 11.2

Part a

We can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got: $\bar X=10.65$

For the median we need to sort the values on increasing order and we have:

8.3 10.3 10.5 10.6 10.7 10.7 10.9 11.2 11.5 11.8

Since n =10 we can calculate the median as the average between the 5th and 6th position of the dataset ordered and we got:

$Median =\frac{10.7+10.7}{2}=10.7$

The mode would be the most repeated value on this case:

$Mode= 10.7$

Part b

The range is defined as $Range =Max-Min$ and if we replace we got:

$Range = 11.8-8.3=3.5$

We can calculate the standard deviation with the following formula:

$s= sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got:

$s= 0.948$

Part c

For this case we can use the IQR method in order to determine if 8.3 is an outlier or not.

We can calculate the first quartile with these values: 8.3 10.3 10.5 10.6 10.7 10.7 and $Q_1= \frac{10.6+10.7}{2}=10.55$

And for the Q3 we can use: 10.7 10.7 10.9 11.2 11.5 11.8 and we got $Q_3 = \frac{10.9+11.2}{2}=11.05$

Then we can find the IQR like this:

$IQR = Q_3 -Q_1 = 11.05-10.55=0.5$

And we can find the usual limits with:

$Lower = Q_1 -1.5 IQR = 10.55 -1.5*0.5=9.8$

$Upperer = Q_3 +1.5 IQR = 10.55 +1.5*0.5=11.3$

And since 8.3 <9.8 we can consider this value too low or as an outlier for this case.

Part d

The mean for this case was 10.65 and the usual values are between 9.8 and 11.3, so as we can see all are above the specified value of 6 minutes, and we can conclude that the times are not satisfying the quality standards for this case.

And they should be considered apply some strategies to reduce the response time, adding more stations around points selected at the city could be useful in order to reduce the response time.

6 0

2 years ago

Write an integer whose absolute value is greater than itself.

raketka [301]

<span>The integer -1 has an absolute value of 1, which is greater than itself. Since all negative integers are by definition integers, their respective absolute values will be greater than themselves.</span>

3 0

2 years ago

Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, which plan would a

Bond [772]

The right answer for the question that is being asked and shown above is that: "D. plan D." Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, the plan that would allow Maya to earn the most money in a month is D. plan D<span>
</span>

3 0

1 year ago

Read 2 more answers