Erin is making fruit punch for a party. The bowl currently has 2 1/4 cups of punch. Write and solve an equation to find the number of cups of fruit punch that were added to the bowl. -Be sure to define your variable as specially as possible.

Answer:

32%

Step-by-step explanation:

Let x be the mean of the values and σ their standard deviation.

Since the minimum value of the diameter of the washers is 1.53 mm, then

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

x - σ = 1.53 mm

+

x + σ = 1.65 mm  

2x = 3.18

x = 3.18/2

x = 1.59 mm

Subtracting (1) and (2), we have

x - σ = 1.53 mm

-

x + σ = 1.65 mm  

-2σ = -0.12

σ = -0.12/-2

σ = 0.06 mm

Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%

This question is based on the percentage. Thus, 32%  of washers will the factory have to discard.

Given:

The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.

We need to determined the percentage of washers will the factory have to discard.

According to question,

Let x be the mean and σ be their standard deviation.

The minimum value of the diameter of the washers is 1.53 mm.

Then,

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

   x - σ = 1.53 mm  

+  x + σ = 1.65 mm  

⇒ 2x = 3.18

We get,

x = 1.59 mm

Subtracting (1) and (2), we have

 x - σ = 1.53 mm

- x + σ = 1.65 mm  

⇒ -2σ = -0.12

We get,

σ = 0.06 mm

Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.

And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.

Thus, 32%  of washers will the factory have to discard.

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Answer:

$60.30

Step-by-step explanation:

Answer:

The answer is $52.26 this is a trick question if you were finding how much Michael pay it will be $56.15

brainliest?

0Answer: 9.0

Step-by-step explanation:

.

Answer:

m <1 = 64

m<2= 26

Step-by-step explanation:

the angle is 90 degree

therefore, <1 + <2 = 90

(x+51) + (2x) = 90

3x +51 = 90

3x = 39

x = 13

Answer:

36.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The formula to solve this is a+b)/2*h

4+5=9

9/2=4.5

4.5*8= 36

Answer:

Step-by-step explanation: Let me help

Answer:

i go k 12 i im taking the test rn

Step-by-step explanation:

5.5   6.0    6.5  7.0

                           3

                  7

         6  

5

Answer:

Step-by-step explanation:

Answer:

49x^4-42x^2 y+9y^2

Step-by-step explanation:

Answer:

49x^4-42x^2 y+9y^2

Step-by-step explanation:

Answers:

L = 64

W= 62

Explanation:

Answer:

46

Step-by-step explanation:

Answer:

46 bc the angles across from each other are the same in a parallelogram

9514 1404 393

Answer:

  (b)  m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

It is easiest to find angle 2 first, then make your answer selection based on that.

The exterior angle 121.8° is the sum of the remote interior angles 17.3° and angle 2. Then ...

  angle 2 = 121.8° -17.3° = 104.5° . . . . . . . matches the second choice

__

Angle 2 is an exterior angle of the top triangle. It, too, is the sum of the remote interior angles:

  104.5° = angle 1 + 37.1°

  angle 1 = 104.5° -37.1° = 67.4°

Answer:

C!

Step-by-step explanation:

m∠1 = 75.5°, m∠2 = 67.4°

Answer:

13/3

OR

4.33333

Step-by-step explanation:

For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.

To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction

2x^2 - 3 -15

2x^2 - 18

2* (x^2 - 9)

2 * (x + 3) (x - 3)

this is perfect because this cancels out the x - 3 on the bottom

so the function become f(x) = 2 * (x + 3)

When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12

Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.

k*(3) - 1 = 12

k*3 = 13

k = 13/3

k = 4.33

Answer:

3.7w - 2

Step-by-step explanation:

7.4w − 5 −3.7w + 3                                  Combine like-terms

7.4w - 3.7w + 3 - 5

3.7w - 2

Answer:

3.7w-2

Step-by-step explanation:

7.4w-5+-3.7w+3

(combine like terms)

7.4w-3.7w=

7.4-3=

4.4-.7= 3.7w

-5+3=-2

3.7w-2

I hope this helps..

Answer:

B AND D

Step-by-step explanation:

Answer:

PAMDAS

Step-by-step explanation:

PEMDAS

hope it helps !

Answer: 30

Step-by-step explanation:

Answer:

the correct answer is $1.50 for me

Step-by-step explanation:

st took the quiz and got this question correct, hope this helps!

Answer:

hey

Step-by-step explanation:

pls help me then i help u

Answer:

Yep  good job!!!

Answer:

284=5(40)+4r

Step-by-step explanation:

Answer:

2x-15=15

where x=15

2(15)-15=15

30-15=15

Answer:

2x-15=15

where x=15

2(15)-15=15

30-15=15

The product of the expression (3x² - 2) (4x² + 5x) is 12x⁴ + 15x³ - 8x² - 10x.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given expression is (3x² - 2) (4x² + 5x).

This can be written as,

(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)

We have to use distributive property here.

a(b + c) = ab + ac for any three numbers or expressions, a, b and c.

(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)

                              = (12x⁴ + 15x³) - (8x² + 10x)

                              = 12x⁴ + 15x³ - 8x² - 10x

Hence the product is 12x⁴ + 15x³ - 8x² - 10x.

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#SPJ7

Answer:

xa^2

Step-by-step explanation:

I thought about it for a bit and came up with this:

if you expand a^(b+2) it becomes a^b * a^2

so replace a^b with x.

xa^2

Answer:

320 cubic inches

Step-by-step explanation:

if I remember correctly you have to multiply the given numbers and then divide by that answer by 3 which gives you 320

Answer:

Volume of a rectangular pyramid  = (length x width x height) /3 cubic units.  

where W = 8 in,     h = 12 in,      L =  10 in.

Step-by-step explanation:

Volume = ( 10 x 8 x 12 ) /3 = 320 cubic inches.

I hope it help. Have a nice day.

Answer:

-12x -8

Step-by-step explanation:

Substitute g(x) into h(x) so h(4x + 3) = -3(4x +3) + 1 = -12x - 9 + 1 = -12x -8

Answer:

Step-by-step explanation:

This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.

X+114=111

add negative -114 to each side to get X alone.

-114+X+114= 111+-114

X=-3 .   Answer negative 3