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3 years ago

What percent of your budget of $4,000 would your rent be if you pay $800 in rent?

Mathematics

1 answer:

photoshop1234 [79]3 years ago

8 0

Answer:

20%

Step-by-step explanation:

800/4000 = .2

convert to percentage

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As an estimation we are told 5 miles is 8 km. Convert 40 miles to km

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2 years ago

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Explain how to find the lower quartile of a box-and-whisker plot.

elena55 [62]

C. The lower quartile (of a box-and-whisker plot) is the median of the lower half of the data.
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3 years ago

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Write the word sentence as an equation. Then solve. 10 more than a number c is 3.

ira [324]

Answer:

10+c=3

Step-by-step explanation:

to solve this you would then subtract 10 from both sides, to get c by itself.

3-10= -7

Your answer would be -7 and the equation would be 10+c=3.

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3 years ago

How do you convert powers to the same base if the bases don't have common factors?

Yuri [45]

Answer:

6²

Step-by-step explanation:

Use the rule of exponents ...

(a·b)^c = a^c·b^c

Your expression has a=3, b=2, c=2.

3²·2² = (3·2)² = 6²

_____

If you want to get more sophisticated than that, logarithms can get involved.

$3^2\cdot 2^2=10^{2\log{(3)}+2\log{(2)}}\approx 10^{1.5563025}$

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3 years ago

Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 67.7 grams an

Alexxx [7]

Answer:

a. s.e. = 0.338

b. The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 0.5871 or 58.71%

c. The probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams is 0.0694 or 6.94%

d. The sample mean of 62.75 would represent the 15th percentile

Step-by-step explanation:

1. Let's review the information provided to us to answer the question properly:

μ of the mass of slices of pizza for a certain brand = 67.7 grams

σ of the mass of slices of pizza for a certain brand = 2.28 grams

2. For samples of size 20 pizza slices, what is the standard deviation for the sampling distribution of the sample mean?

Let's recall that the standard deviation of the sampling distribution of the mean is called the standard error of the mean and its formula is:

μσs.e.= √σ/n, where n is the sample size.

s.e. = √2.28/20

s.e. = 0.338

3. What is the probability of finding a random slice of pizza with a mass of less than 67.2 grams?

Let's find the z-score for X = 67.2, this way:

z-score = (X - μ)/σ

z-score = (67.2 - 67.7)/2.28

z-score = 0.5/2.28

z-score = 0.22 (rounding to the next hundredth)

Now, using the z-table, let's find p, the probability:

p (z = 0.22) = 0.5871

The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 58.71%

4. What is the probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams?

Let's use the central limit theorem to find the z-score, this way:

z-score = X - μ/s.e

z-score = 67.2 - 67.7/0.338

z-score = -0.5/0.338

z-score = - 1.48

Now, using the z-table, let's find p, the probability:

p (z = -1.48) = 0.0694

5. What sample mean (for a sample of size 20) would represent the bottom 15% (the 15th percentile)?

For p = 0.150, let's find the z-score:

z-score = - 2.17

z-score = X - μ/s.e

- 2.17 = (X - 67.7)/2.28

- 4.95 = X - 67.7

X = 67.7 - 4.95

X = 62.75 (rounding to the next hundredth)

The sample mean of 62.75 would represent the 15th percentile

7 0

2 years ago