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Tems11 [23]
3 years ago
9

there are 20 guests at a party. the host has 8 gallons of punch. he estimates that each guest will drink 2 cups of punch. if he

estimates correct, how much punch is left over?
Mathematics
2 answers:
ANEK [815]3 years ago
8 0

He will have 88 cups

Rina8888 [55]3 years ago
6 0

Answer: He will have 88 cups of punch left over

Step-by-step explanation:

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Consider the function below. f(x) = ln(x4 + 27) (a) Find the interval of increase. (Enter your answer using interval notation.)
andrezito [222]

Answer:

a) The function is constantly increasing and is never decreasing

b) There is no local maximum or local minimum.

Step-by-step explanation:

To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.

f(x) = ln(x^4 + 27)

f'(x) = 1/(x^2 + 27)

Now we take the derivative and solve for zero to find the local max and mins.

f'(x) = 1/(x^2 + 27)

0 = 1/(x^2 + 27)

Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.

6 0
3 years ago
Hank is buying new curtains for his house. Each window will need 2 curtains panels to cover it. He has a total of 16 windows in
fenix001 [56]

Answer:

He spends $298

Step-by-step explanation:

He has 16 curtains

16*2=32

That answer is how many he needs

Now multiply that by the price

32 curtains for $29

32*29=928

The answer is $928

5 0
2 years ago
Read 2 more answers
The average fuel efficiency of U.S. light vehicles for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and
statuscvo [17]

Answer:

1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.

2) between 20 and 25 --> 21-25/2.9 = -1.38

Step-by-step explanation:

Problem #1:

  • Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.
<h3><u>X < 20</u></h3>
  • = z = 20 - 21/2.9/√25
  • = z = -1/2.9/5
  • = z = -1.72414
<h2><u><em>Now</em></u></h2>

<em>P-value from Z-Table:</em>

<h3><u>P(x<20) = 0.042341</u></h3>

Problem #2:

<h3>21-25/2.9 = -1.38</h3>
6 0
2 years ago
Sarah is making her own costume for her role in the school play. The costume requires 25/8 yards of material. Select the number
BARSIC [14]

Answer:

Step-by-step explanation:

25/8

8*3=24

25-24=1

3 1/8

8 0
3 years ago
The area, a, of an ellipse can be determined using the formula a=TTxy where x and y are half the lengths of the largest and smal
Brilliant_brown [7]
a=\pi xy

To solve for y, divide both sides by \pi x:

y=\frac{a}{\pi x}

6 0
3 years ago
Read 2 more answers
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