For the following exercise, determine the range (possible values) of the random variable, X. A batch of 300 machined parts contains 10 that do not conform to customer requirements. The random variable is the number of parts in a sample of 5 parts that do not conform to customer requirements. Choose the correct answer.

a. The range of X is {0,1,2,3,4,5,6}
b. The range of X is {0,1,2,3,4,5,6}
c. The range of X is {0,1,2,3,4,5,6}
d. The range of X is {0,1,2,3,4,5,6}
e. The range of X is {0,1,2,3,4,5,6}

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Work Shown:

Let's say there are 28 cards in a full stack.

6/7 = 24/28 after multiplying top and bottom by 4

Since he has 24/28 of a stack left, this means he has 24 cards left.

He wants to arrange the remaining cards into piles so that each pile consists of 3/28 of a full stack. In other words, he wants each pile to have 3 cards.

So this must mean he will get 24/3 = 8 piles

(8 piles)*(3 cards per pile) = 8*3 = 24 cards total

A fraction is a way to describe a part of a whole. The number of stacks that Peter has left into stacks that are each 3/28 of a pack of the left cards is 8.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given that Peter has 6/7 of a stack of baseball cards left. Also, he makes small stacks from the left cards of size 3/28. Therefore, the number of stacks Peter made,

[tex]\text{Number of stacks Peter made} = \dfrac{\text{Stack of baseball cards left}}{\text{Size of small stack of cards}}\\\\\\\text{Number of stacks Peter made} = \dfrac{\frac{6}{7}}{\frac{3}{28}}\\\\\\\text{Number of stacks Peter made} = \dfrac{6 \times 28}{7 \times 3} = 8[/tex]

Hence, the number of stacks that Peter has left into stacks that are each 3/28 of a pack of the left cards is 8.

Learn more about Fraction:

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Answer:

[tex]5x+17[/tex]

Step-by-step explanation:

We will have to expand first then we simplify.

Expand

You will have to distribute the 2 over the x & 7 and the 3 over the x & 1 respectively.

[tex]2(x+7)+3(x+1)=2x+14+3x+3[/tex]

Simplify

You will have to add 2x & 3x together and 14 & 3 together.

[tex]2x+14+3x+3=5x+17[/tex]

Answer

[tex]5x+17[/tex]

d $178,000 cost of foods

Answer:

30

Step-by-step explanation:

40-25%=30

Answer:

30

Step-by-step explanation:

quarter it, 25% of 40 is 1/4 so 30

Answer:

the answer is C my man. I believe so

Answer:

I believe it is C.

Step-by-step explanation:

Answer:

x = 10°, y = 20°

Step-by-step explanation:

Fill in the missing angle measures, 20° and 70°.

7x = 180 - 90 - 20

7x = 70

x = 10

2y = 180 - 7x - 5x - 20 = 40

y = 20

Answer:

x = 3

Step-by-step explanation:

Given that,

[tex]x=\sqrt[3]{27}[/tex]

We need to show work to solve it.

We know that,

27 = 3×3×3

or

27 = (3³)

So,

[tex]x=\sqrt[3]{3\times 3\times 3}\\\\=(3^3)^{\dfrac{1}{3}}\\\\x=3[/tex]

Hence, this is the required solution.

Answer: decimals dont have denominators fractions do

Answer:

24 miles

Step-by-step explanation:

Answer:

The student completed 13 courses worth 3 credits

Step-by-step explanation:

System of Equations

Let's assign the following variables:

x = number of courses worth 3 credits

y = number of courses worth 4 credits

Some student completed 18 courses thus:

x + y = 18      [1]

The student earned a total of 59 credits:

3x + 4y = 59       [2]

From [1]:

y = 18 - x

Substituting in [2]:

3x + 4(18 - x) = 59

Operating:

3x + 72 - 4x = 59

Simplifying:

-x = 59 - 72 = -13

x = 13

The student completed 13 courses worth 3 credits

Answer:

C≈15.71

Step-by-step explanation: use the circumference formula

Answer: 116 packages

Step-by-step explanation:

From the question, we are informed that Puzzles are packaged in groups of 3 and that the store has 183 nature puzzles. The number of packages here will be:

= 183/3

= 61 packages

For the 165 animal puzzles, the number of packages will be:

= 165/3

= 55 packages

The total number of packages of puzzles will be:

= 61 + 55 packages

= 116 packages

Answer:

116

Step-by-step explanation:

First find total number of puzzles.

183+165=348

Then divide the total puzzles by puzzles in a package (3)

348÷3=

116 packages of puzzles

Answer:

9

--- your answer is 9 oof

Answer:

3b^2-22b-16

Step-by-step explanation:

3b^2-24b+2b-16=

3b^2-22b-16

Answer:

3b^2 -22b -16

Step-by-step explanation:

(3b+2)(b-8)

FOIL

first :3b*b = 3b^2

outer : 3b *-8 = -24b

inner: 2*b = 2b

last: 2*-8 = -16

Add them together

3b^2 -24b+2b -16

Combine like terms

3b^2 -22b -16

9514 1404 393

Answer:

  100 runs from Macon

Step-by-step explanation:

A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon, Jonestown) = (0, 180), (40, 60), and (100, 0).

Checking costs of these solutions, we find the lowest cost to be obtained when ...

  100 production runs should be ordered from Macon

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

5x3=15 and 3x9=27 so it’s 3.

Answer:  Add 7+ [tex]\frac{2}{3}= \frac{7}{1} + \frac{2}{3} = \frac{7.3}{1.3} + \frac{2}{3} = \frac{21.2}{3} = \frac{23}{3}[/tex] For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(1, 3) = 3. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 3 = 3. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - seven plus two thirds = twenty-three thirds.

Multiple: 2 * [tex]\frac{3}{5} = \frac{2.3}{1.5} = \frac{6}{5}[/tex] Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - two multiplied by three fifths = six fifths.

Subtract = [tex]\frac{23}{3} - \frac{6}{5} = \frac{23.5}{3.5} - \frac{6.3}{5.3} = \frac{115}{15} - \frac{18}{15} =\frac{115 - 18}{15}[/tex]For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - twenty-three thirds minus six fifths = ninety-seven fifteenths.

Multiple: 4 Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(388, 15) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - four multiplied by ninety-seven fifteenths = three hundred eighty-eight fifteenths.

Step-by-step explanation:

hope this helps

Answer:

l = 9 inches and b = 6 inches.

Step-by-step explanation:

Given that,

The perimeter of a rectangular price tag, P = 30 cm

The area of rectangular price tag, A = 54

We need to find the dimensions of the price tag.

The area of rectangle is given by :

A = lb

So,

54=lb ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

So,

30=2(l+b)

15=(l+b) ...(2)

We need to solve equation (1) and (2) such that,

l = 9 inches and b = 6 inches.

Answer:

x = - 11 ; m∠B = 132°

Step-by-step explanation:

(33 - 9x)° + 48° = 180°

33 - 9x + 48 = 180

81 - 9x = 180

- 9x = 99

x = - 11

m∠B = [33 - 9(- 11)]° = (33 + 99)° = 132°

m∠B = 132°

Answer:

[tex]\displaystyle 4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

g(x) = 4x

Interval [1, 5]

Step 2: Find Change

Answer:10.14

Step-by-step explanation:

Answer:

246 adult tickets were sold

Step-by-step explanation:

System of equations:

Variables:

x = number of adult tickets sold

y = number of student tickets sold

There were a total of 328 tickets sold, thus:

x + y = 328

The number of student tickets sold was three times the number of adult tickets sold, thus:

y = 3x

Substituting in the first equation:

x + 3x = 328

Simplifying:

4x = 328

Dividing by 4:

x = 328/4

x = 82

y = 3*82= 246

246 adult tickets were sold

Answer:

D

Step-by-step explanation:

It starts at the left and starting at the left the points start to go down which means it is negative

Answer:

Step-by-step explanation:

y - 9 = 3(x - 0)

y - 9 = 3x - 0

y = 3x + 9

Answer:

The solution is (0,4).

Step-by-step explanation:

We are given the following system of equations:

[tex]8x + 9y = 36[/tex]

[tex]3x + 4y = 16[/tex]

Solving by substitution.

In the first equation, we have that:

[tex]8x + 9y = 36[/tex]

[tex]8x = 36 - 9y[/tex]

[tex]x = \frac{36-9y}{8}[/tex]

Replacing in the second equation:

[tex]3x + 4y = 16[/tex]

[tex]3\frac{36-9y}{8} + 4y = 16[/tex]

Multiplying everything by 7

[tex]3(36 - 9y) + 32y = 128[/tex]

[tex]108 - 27y + 32y = 128[/tex]

[tex]5y = 20[/tex]

[tex]y = \frac{20}{5}[/tex]

[tex]y = 4[/tex]

Now, with y, we can find x.

[tex]x = \frac{36-9*4}{8} = 0[/tex]

So the solution is (0,4).

Answer:

-x + 20y

Step-by-step explanation:

trust me.. its right

Answer:

Q1: She can write names of each Student on separate Papers and choose one Randomly, the Result may be 5:3 Girls to Boys

Q2: 75/100