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Elanso [62]
2 years ago
5

I NEED HELP ON THIS CONSTRUCTED RESPONSE! :(

Mathematics
1 answer:
Vikentia [17]2 years ago
4 0

Answer:

<em>x < 2</em>

Step-by-step explanation:

-12x - 0.4 > 0.2(36.5x + 80) - 55

-12x - 0.4 > 7.3x + 16 - 55

-19.3x > -38.6

x < 2

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You had $21 to spend on three pens .After buying them you had $12 how much did each pen cost
Black_prince [1.1K]
I thinks it’s 3 because 21-12=9 so you spent 9 dollars 9/3=3
7 0
3 years ago
The following data points represent the length of each song Roy the Rooster sang each morning since he
Lorico [155]

Answer:

Step-by-step explanation:

So put the 0-3 to the y2, 3-6 to the y4 and 6-9 to the y2

4 0
2 years ago
An open box is to be made from a six inch by six inch piece of material by cutting equal squares from the corners and turning up
Virty [35]

Answer:

8 inch³

Step-by-step explanation:

Side should be 2 inch

Volume = side³ = 2³ = 8 inch³

4 0
2 years ago
Read 2 more answers
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:

<u>a. s.e. = 0.338</u>

<u>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%</u>

<u>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%</u>

d. <u>The sample mean of 62.75 would represent the 15th percentile</u>

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

<u>s.e. = 0.338</u>

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

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

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:

<u>p (z = -1.48) = 0.0694</u>

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)

<u>The sample mean of 62.75 would represent the 15th percentile</u>

7 0
2 years ago
What is the mean of 13,6,8,6,15
Luden [163]

Hey there!

To start, the mean of the answer is also known as the average value of a set of numbers. This is calculated by dividing the sum of the set by the total amount of numbers.

In this case the sum of all the numbers is 13 + 6 + 8 + 6 + 15 which is equal to 48.

Now, divide 48 by the total number of numbers in the set: 48/5 = 9.6

Your final answer should be 9.6, or you can leave it in fraction form as 48/5.

Hope this helps!

4 0
3 years ago
Read 2 more answers
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