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

Answer 1
Answer:

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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Answer 2
Answer:

The answer is D: about 95%.


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What two numbers add up to -15 & can be multiplied to get 56

I really need help on all of them, I will give out brainliest to one answer and ten points to both

Answers

Answer:

1. 1/2, 2. 2, 3. 1/-3, 4. -2

Step-by-step explanation:

1) I know that the equation for slope is y2-y1/x2-x1. For number one I first found two points of the graph which is (0,3) and (2,4) (not sure if I see it correctly, its kind of blurry). I decided that (0,3) would be my y1 and x1 and (2,4) will be my y2 and x2. I later plugged the number in the equation and got 4-3/2-0 which the answer turns out to be 1/2.

2) For the rest of the questions it is kinda the same business as question 1. For question two I chose two points out of the table which wrer (-1, -12) and (1,-8) and plugged them into the equation and got -8-(-12)/1-(-1) which the answer turns out to be 2.

3) similar to question 2. The two points(2,-6) and (-4,-3) are given to you. so I plugged them in again and got -3-(-6)/-4-2 which the answer turns out to be 3/-6 into 1/-3.

4) Same with question 1 find two points of the graph. I chose (0,3) and (1,1) (again might not be accurate it's kind of blurry) I plugged them into the equation again and got 1-3/1-0 which equals -2.

Just always remember y2-y1/x2-x1=m is the equation for slope.

(m is the variable for slope)

Hoped this helped you : )

What is the simplified expression for the expression below?- 1/5(5х+20) -1/4 (4x– 28)
оооо
О-2х + 3
о-2x – 3
0 -2х – 8
0 -2х + 8

Answers

Answer:

A

Step-by-step explanation:

- 1/5 of 5x is  -1 or just -x and -1/5 of 20 is -4. Then the other one is-1/4 of 4 is -x and -1/4 of -28 is 7. Now combine like terms so -x + -x is -2x and 7+ -4 or 7-4 is 3

A scientist is working with 13 meters of gold wire. How long is the wire in millimeters?

Answers

The wire is 13,000 millimeters long

1 Meter=1,000 millimeters

1,000 millimeters x 13 = 13,000 millimeters

Answer: 13,000 mm

Step-by-step explanation:

1 meter = 1000mm

13  x 1000 = 13,000 mm

Physics students drop a ball from the top of a 100 foot high building and model its height as a function time with the equation h(t) = 100 - 16t^2. Determine, to the nearest tenth of a second, when the ball hits the ground.

Answers

When the ball hits the ground, the height is 0.

0 = 100 - 16t²

0 = (10 - 4t)(10 + 4t)

0 = 10 - 4t     or     0 = 10 + 4t

4t = 10          or       -4t = 10

 t = (10)/(4)             or          t = -(10)/(4)

Time cannot be negative (unless you have a time machine) so disregard  -(10)/(4)

Answer: t = (5)/(2) = 2.5 seconds

Solve the following simultaneous equations : 5m - 3n = 19; m - 6 = -7​

Answers

Answer:

m = -1

n= -8

Step-by-step explanation:

5m -3n = 19

m - 6 = -7

solve for m:

m = -7+6

m = -1

plug in m

5(-1) - 3n = 19

-5 - 3n = 19

-3n = 24

n = -8

From a list of ten books, how many groups of 4 books can be selected

Answers

From a list of ten books, 210 ways to select a group of 4 books.

What is a combination?

A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.

The number of ways to select a group of 4 books from a list of 10 books can be calculated using the combination formula:

nCr = n! / (r! x (n-r)!)

Where n is the total number of items (in this case, 10 books) and r is the number of items to be selected (in this case, 4 books).

Plugging in the values, we get:

10C4 = 10! / (4! x (10-4)!)

= 10! / (4! x 6!)

= (10 x 9 x 8 x 7) / (4 x 3 x 2 x 1)

= 210

Therefore, there are 210 ways to select a group of 4 books from a list of 10 books.

To learn more about the combination;

brainly.com/question/29594894

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First you have all ten books, but then every time after, you loose one because you can't put the same book in the group twice.

10 * 9 * 8 * 7 = 5040 groups