The Museum of Science in Boston has an exhibit in which metal balls drop down a chute, bounce around, and wind up in one of 21 bins. After 1000 balls have dropped, the heights within the bins clearly follow a bell-shaped curve. If the standard deviation is 3 bins, approximately how many balls are in bins 1 through 7?

Answers

Answer 1

Answer: This is example of Normal distribution. The central bin is: (21+1)/2=11
If the standard deviation is 3, we have 11-3=8 For bins:1-7 (graph of Normal distribution, or bell-shaped curve) we have 15.87% of all of the balls.
0.1587*1000=158.7.
Answer: We have approximately 159 balls in bins 1 through 7.

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According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?2x + 1
2x – 1
3x + 5
3x – 5

Answers

Answer:

D. 3x-5

Step-by-step explanation:

We have been given an polynomial $f(x)=3x^3-5x^2-12x+20$ and we are asked to choose the correct option that represents the factor of our given polynomial according to the rational root theorem.

First of all we will factor our polynomial.

$f(x)=x^2(3x-5)-4(3x-5)$

$f(x)=(x^2-4)(3x-5)$

$f(x)=(x+2)(x-2)(3x-5)$

Therefore, (3x-5) will be a factor of our given polynomial and option D is the correct choice.

Answer:

D.) 3x – 5

Step-by-step explanation:

Use decomposition to find the area of the figure 3cm,5m,7cm, the area is _____.

Answers

To find the area of the figure with dimensions 3 cm, 5 m, and 7 cm, you can decompose it into two rectangles and then calculate their areas separately.

1. First, consider the rectangle with dimensions 3 cm (length) and 7 cm (width):
Area of the first rectangle = Length × Width = 3 cm × 7 cm = 21 square cm.

2. Now, consider the second rectangle with dimensions 5 m (length) and 7 cm (width). To make the units consistent, convert 5 meters to centimeters (1 meter = 100 cm):
5 m = 5 × 100 cm = 500 cm
Area of the second rectangle = Length × Width = 500 cm × 7 cm = 3500 square cm.

3. Finally, add the areas of both rectangles together:
Total Area = Area of first rectangle + Area of second rectangle = 21 square cm + 3500 square cm = 3521 square cm.

So, the area of the figure is 3521 square cm.

The dimensions in inches of a shipping box can be expressed as width x, length x + 1, and height x - 4. The volume is 84 ft^3. Find the dimensions of the box in feet. 1, 1, 4
2, 2, 21
2, 6, 7
3, 4, 7

Please help? If somebody can help put this into an equation for me, I can do the rest. Thanks

Answers

Answer:

The dimensions of the box are

$2,6,7$

Step-by-step explanation:

we know that

The volume of a box in the shape of a cube is equal to

$V=W*L*H$

where

W is the width of the box

L is the length of the box

H is the height of the box

In this problem we have

$V=84\ ft^(3)$

$W=x\ ft$

$L=x+1\ ft$

$H=x-4\ ft$

Substitute the values in the formula of volume

$84=x*(x+1)*(x-4)$

$84=(x^(2)+x)*(x-4)\n84=x^(3) -4x^(2)+x^(2)-4x\n84=x^(3)-3x^(2)-4x\nx^(3)-3x^(2)-4x-84=0$

Using a graphing tool

Solve the cubic function

see the attached figure

The value of x is equal to

$x=6\ ft$

the dimensions of the box are

$W=x\ ft=6\ ft$

$L=x+1\ ft=6+1=7\ ft$

$H=x-4\ ft=6-4=2\ ft$

84ft^3= (x-1)•x-4(x)

Maybe, then you would need to solve get the solution of x and plug it in for the demensions, hope this helps! (Not exactly positive that is my is correct but believe it is at least close!)

Solve mathematics question, please:) Unanswered re-asked question.

Answers

remember you can do anything to an equation as long as you do it to both sides

and when multiply by negative, flip sign

8+h>2+3h
minus h both sides
8+h-h>2+3h-h
8+0>2+2h
8>2+2h
minus 2 both sides
8-2>2-2+2h
6>0+2h
6>2h
divide by 2 both sides
6/2>2h/2
3>1h
3>h

first opotin

Answer:

h<3

Step-by-step explanation:

Need help ASAP!!! Will mark brainliest

Answers

A=148°

B=148°

Step-by-step explanation:

180-38=148°

because A and B are equal, they're both 148°

Is 4 kilograms is egual to 4000mgs

Answers

No.
So, there are 1000 milligrams in one gram, making the 4000 mgs equal to 4 grams.
There are 1000 grams in one kilogram, so 4 kilograms is equal to 4000 grams.

4000 =/= 4
So, 4 kilograms and 4000 milligrams are not equal.

4000Mgs is not equal to 4 kilograms. 4000 Mgs is 4 grams, which is 0.004Kilograms. Hence, 1 milogram is 1x10^-6 Kilograms.

Other Questions

A coach wants to know if baseball players who warm up before a game will score more points than those who don't warm up. He will break the team up into two groups and make sure each player gets equal time on the field. He will then count how many points each player makes during the game. What statistic should he study?The mean number of points earned by each player The standard deviation of the number of points earned by each player The standard deviation of the number of points earned by each group The mean number of points earned by each group

The graph of the function f(x)=(x-3)(x+1)

Add. 6 1/3 + 4 ¾ + 3 7/12 =

Very simple challenge hard question