3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.

Answers

Answer 1

Answer: ok so from experience on this site
3x2=3x^2
people don't know how to put exponents
3x^2-y^3-y^3-z
simplify first

3x^2-2y^3-z

x=3
y=-2
z=-5
3(3^2)-2(-2)^3-(-5)
3(9)-2(-8)+5
27+16+5
48

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A math teacher’s midterm is worth 200 points. The mean of the test is 143 and the standard deviation is 15.7. If the scores have a bell shaped distribution, what percentage of the scores are between 111.6 and 174.4?A. About 99.7%
B. About 68%
C. About 62.8%
D. About 95%

Answers

If the scores have a bell shaped distribution, percentage of the scores are between 111.6 and 174.4 would be D. About 95%

How to find the percentage ?

The given values 111.6 and 174.4 are one standard deviation away from the mean

= 143 - 15.7 = 127.3

and

143 + 15.7 = 158.7

So 111.6 and 174.4 are even farther away from the mean.

In a bell-shaped distribution (normal distribution), about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

Since 111.6 and 174.4 are more than one standard deviation but less than two standard deviations from the mean, the percentage of scores between 111.6 and 174.4 would be about 95%.

Find out more on bell shaped distribution at brainly.com/question/18048847

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The answer is D: about 95%.

Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750

What is the standard deviation of the data? Round to the nearest whole number.

65

75

100

130

Answers

In order to find the standard deviation, we first have to calculate the mean (average) of the numbers. To get this we add all the numbers together and then divide by 12 since there are 12 numbers. The mean = 782. Next, we take each number and subtract the mean, taking the result and squaring it. For this we get: 6724, 2209, 10404, 11664, 729, 1764, 12544, 9, 529, 71824, 1444, 1024. Now we sum all of these up and take the average by dividing the sum by 12. Doing this we get 120868/12=10072. The last step is the take the square root of that number to get the standard deviation. The final result is 100.

The standard deviation of the given set is:

S = 130.

How to get the standard deviation?

Here we have the set:

{700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750}

First, we need to get the mean of the set which is:

$M = (700 + 735 + 680 + 890 + 755 + 740 + 670 + 785 + 805 + 1050 + 820 + 750)/(12) = 704.17$

Then the standard deviation is:

$S = \sqrt{((700 - 704.17)^2 + (735 - 704.17)^2+ (680 - 704.17)^2 + ... + (820 - 704.17)^2 + (750 - 704.17)^2)/(12)} = 129.5$

So we conclude that the standard deviation, rounded to the next whole number, is S = 130

If you want to learn more about standard deviation:

brainly.com/question/475676

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A driver starts his parked car and within 4.6 seconds, reaches a velocity of 15.0 m/s. What is his acceleration?

Answers

Answer:

3.261

Step-by-step explanation:

Acceleration is velocity/time

15/4.6=3.261

Sunglass World marks up its designer sunglasses 220%. The manufacturer charged Sunglass World $14.33 for a specific brand and model. What is the selling price of that pair of sunglasses at Sunglass World?

Answers

To answer the question above, multiply the mark up percentage of Sunglass World which is 220% to the manufacturer price, $14.33. The result of the multiplication is $31.526. Thus, the sunglasses will be sold at a price of $31.526 at the store.

The selling price is $31.53

What's the answer do this question??

Answers

It is A) skewed left because the long tail in the box plot is on the left hand side. The mean is also on the left hand side of the peak so it is skewed left.

Hope this helps :)

Part B: Solve 2a − 5d = 30 for d. Show your work. (6 points)

Answers

Given Equation: 2a − 5d = 30

Solution:

2a - 5d = 30

-5d = 30 -2a

d = ( 30 - 2a )/ (-5)

= -6 + (2a/5)

= (2a/5) - 6

I hope this helps

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A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange. 6x + 6y = 7.50 10x + 5y = 8.75

There are 3 times as many pears are oranges. If a group of children receive 5 oranges each,there will be no left over.If the same group of children receive 8 oranges each, there will be 21 pears left over. How many oranges are there?