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3 years ago

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Find the volume of the resulting solid if the region under the curve y = 7/(x^2 + 5x + 6) from x = 0 to x = 1 is rotated about t

he x-axis and the y-axis. (a) the x-axis

1 answer:

nlexa [21]3 years ago

5 0

If you look at the equation and solve on each end you will gat 2

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You work for a rental car company. If customers return a car with under half a tank of gas, they are charged $7.50 per gallon of

expeople1 [14]

Answer:

<u>The correct answer is C. $ 39.89</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Tank capacity = 21 gallons

Cost of gallon of gas when the car is returned with under half a tank = $ 7.50

Cost of gallon of gas when the car is returned with more than half a tank = $ 5.75

Gas in the tank of the rental car = 1,800 fluid ounces

2. How much should you charge the customer to fill the tank?

Let's recall that 1 gallon = 128 fluid ounces

Now, we will answer the question this way, converting the tank capacity from gallons to fluid ounces:

Capacity of the gas tank = 21 * 128 = 2,688 fluid ounces

Like 1,800 is above the 50% of the tank, we will charge $ 5.75 per gallon to fill up the tank

Now, we calculate the cost of gas per fluid ounce, this way:

Cost per fluid ounce = 5.75/128 = $ 0.04492

Finally, we calculate how many fluid ounces the customer has to pay this way:

We will charge the customer = (2,688 - 1,800) * 0.04492

We will charge the customer = $ 39.89

<u>The correct answer is C. $ 39.89</u>

7 0

3 years ago

Which angles are complementary to

Molodets [167]

Complementary angles add up to 90°

∠BDC + ∠CDA = 90°

Answer: ∠BDC

8 0

3 years ago

What is the sum of (–2.1x + 3.7) and (5 + 4.9x)?

vesna_86 [32]

It's easier to work with problems such as –2.1x + 3.7 -5 + 4.9x when we rearrange the like terms vertically:

–2.1x + 3.7 -5 + 4.9x

becomes

–2.1x + 3.7

+4.9x -5

------------------

2.8x - 1.3 (answer)

4 0

3 years ago

If it were two hours later,it would be half as long until midnight as it would be if it were an hour later. what time is it now.

mafiozo [28]

Answer:

its 10 am I think

Step-by-step explanation:

it says 2 hours until midnight. 12 - 2 = 10

7 0

3 years ago

Read 2 more answers

A survey of 700 adults from a certain region asked, "What do you buy from your mobile device?" The results indicated that 59%

Kryger [21]

Answer:

a) the test statistic z = 1.891

the null hypothesis accepted at 95% level of significance

b) the critical values of 95% level of significance is zα =1.96

c) 95% of confidence intervals are (0.523 ,0.596)

Step-by-step explanation:

A survey of 700 adults from a certain region

Given sample sizes $n_{1} = 400 and n_{2} = 300$

Proportion of mean $p_{1} = \frac{236}{400} = 0.59 and p_{2} = \frac{156}{300} = 0.52$

<u>Null hypothesis H0</u> : assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

<u>Alternative hypothesis H1:</u>- p1 ≠ p2

a) The test statistic is

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }$

where $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

on calculation we get p = 0.56

now q =1-p = 1-0.56=0.44

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }\\ =\frac{0.56-0.52}{\sqrt{0.56X0.44}(\frac{1}{400}+\frac{1}{300} }$

after calculation we get z = 1.891

b) The critical value at 95% confidence interval zα = 1.96 (from z-table)

The calculated z- value < the tabulated value

therefore the null hypothesis accepted

<u>conclusion</u>:-

assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

c) <u>95% confidence intervals</u>

The confidence intervals are P± 1.96(√PQ/n)

we know that = $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

after calculation we get P = 0.56 and Q =1-P =0.44

Confidence intervals are ( P- 1.96(√PQ/n), P+ 1.96(√PQ/n))

now substitute values , we get

( 0.56- 1.96(√0.56X0.44/700), 0.56+ 1.96(0.56X0.44/700))

on simplification we get (0.523 ,0.596)

Therefore the population proportion (0.56) lies in between the 95% of <u>confidence intervals (0.523 ,0.596)</u>

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3 0

3 years ago