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Dvinal [7]
3 years ago
12

A family decides to rent a boat for the day. The boats rental rate is $500 for the first two hours and $50 for each additional h

alf hour. Suppose the family budgeted $700 to rent the boat. What is the maximum number of additional fall hours for which they can’t rent the boat.
Mathematics
2 answers:
bixtya [17]3 years ago
3 0

its====the question for the answer is 550

UkoKoshka [18]3 years ago
3 0

Answer:

4 is the maximum number of additional half-hours  for which the family can rent the boat.

Step-by-step explanation:

Let us represent with x the number of additional half hours the boat can be rented.

Then notice the cost of renting the boat is modeled with the following expression:

500+50x

Since it is the sum of the $500  for the first two hours plus the cost of the additional half hours which is the product of the cost of a single half hour $50 times the number of additional half-hours.

The family budgeted $700 therefore to cover the bill, therefore we have the following inequality:

500+50x\le700

We solve it for x:

500-500+50x\le700\\[0.2in]50x\le200\\[0.2in]\displaystyle x\le\frac{200}{50}\\[0.2in]x\le4

Therefore, the family can rent the boat for a maximum number of 4 additional half hours

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AfilCa [17]

Answer:

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This is the answer

(x + 3)(5x + 2) \\ x =  - 3 \:  \: or \:  \: x =   - \frac{2}{5}

4 0
2 years ago
Suppose twenty-two communities have an average of = 123.6 reported cases of larceny per year. assume that σ is known to be 36.8
Delvig [45]
We are given the following data:

Average = m = 123.6
Population standard deviation = σ= psd = 36.8
Sample Size = n = 22

We are to find the confidence intervals for 90%, 95% and 98% confidence level.

Since the population standard deviation is known, and sample size is not too small, we can use standard normal distribution to find the confidence intervals.

Part 1) 90% Confidence Interval
z value for 90% confidence interval = 1.645

Lower end of confidence interval = m-z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Lower end of confidence interval=123.6-1.645* \frac{36.8}{ \sqrt{22}}=110.69

Upper end of confidence interval = m+z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Upper end of confidence interval=123.6+1.645* \frac{36.8}{ \sqrt{22}}=136.51

Thus the 90% confidence interval will be (110.69, 136.51)

Part 2) 95% Confidence Interval
z value for 95% confidence interval = 1.96

Lower end of confidence interval = m-z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Lower end of confidence interval=123.6-1.96* \frac{36.8}{ \sqrt{22}}=108.22

Upper end of confidence interval = m+z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Upper end of confidence interval=123.6+1.96* \frac{36.8}{ \sqrt{22}}=138.98

Thus the 95% confidence interval will be (108.22, 138.98)

Part 3) 98% Confidence Interval
z value for 98% confidence interval = 2.327

Lower end of confidence interval = m-z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Lower end of confidence interval=123.6-2.327* \frac{36.8}{ \sqrt{22}}=105.34
Upper end of confidence interval = m+z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Upper end of confidence interval=123.6+2.327* \frac{36.8}{ \sqrt{22}}=141.86

Thus the 98% confidence interval will be (105.34, 141.86)


Part 4) Comparison of Confidence Intervals
The 90% confidence interval is: (110.69, 136.51)
The 95% confidence interval is: (108.22, 138.98)
The 98% confidence interval is: (105.34, 141.86)

As the level of confidence is increasing, the width of confidence interval is also increasing. So we can conclude that increasing the confidence level increases the width of confidence intervals.
3 0
3 years ago
What is the Mean Absolute Deviation:
Neko [114]

128.309728

add all numbers together and divide by 50(there are 50 numbers)

find the difference of each number and 67.92(the mean)

add all these numbers together and divide by 50

3 0
3 years ago
Please help ASAP!<br><br> what is x=-b/2a?
valina [46]

This is the formula to solve for the vertex.

Example Question:

Find the vertex of y = -0.5x^2 + 100x

-b/2a = -100/2(-0.5) = -100/-1 = 100

The x coordinate of the vertex is 100.

Best of Luck!

P.S. this is 1000th question i've answered :)

5 0
3 years ago
-0.75 7/8 and - 5/8 in order from least to greatest
VMariaS [17]
Hello there!

The answer is:
-5/8
-0.75
7/8
5 0
3 years ago
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