In a box of 12 pens, there is one that does not work. Employees take pens as needed. The pens are returned once employees are done with them. You are the 5th employee to take a pen. Is this a binomial experiment?

The correct answer choice is; The experimental probability is less than the theoretical probability by more than 2%.

It follows from the task content that, upon evaluation;

The experimental probability upon evaluation = 4/48 = 1/12.

The theoretical probability upon evaluation = 1/8.

Consequently, it follows that the experimental probability is less than the theoretical probability by more than 2%.

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Answer:

alA, C, E would all be correct

Step-by-step explanation:

the explanation is quite simple just put them all together they all come out to 280.

Answer:

A, C, E

Step-by-step explanation:

If we separate 35 into tens and units then:

8 × 35 = 8 × (30 + 5)

We can use the distributive property to expand the above:

8 × (30 + 5) = (8 × 30) + (8 × 5)

We can also separate 35 into 20 + 15:

8 × 35 = 8 × (20 + 15)

Therefore, the expressions that are equal to 8 × 35 are A, C and E

Answer:

2-and-a-half pounds

10 / 4 = 2.5

Answer:

1. 92 in²

2. 97.2 yds²

Step-by-step explanation:

1. area of a rectangle: b x h

b = 9.2

h = 10

9.2 x 10 = 92

2. area of paralellogram: b x h

b = 12

h = 8.1

12 x 8.1 = 97.2

Answer:

[tex]1\frac{1}{3}[/tex] hours

Step-by-step explanation:

The first painter does [tex]\frac{1}{2}[/tex] (aka [tex]\frac{2}{4}[/tex]) the job in 1 hour.

The second painter does [tex]\frac{1}{4}[/tex] the job in 1 hour.

This means together they can do [tex]\frac{3}{4}[/tex] the job in 1 hour.

This means to do [tex]\frac{1}{4}[/tex] of the job they will need [tex]\frac{1}{3}[/tex] hours. (third of the work they do in an hour means they need a third of the time)

This means they need [tex]1\frac{1}{3}[/tex] hours to paint the room together.

Option - A) The skin fold test .

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

when you look, you see the y value is always bigger by 2 than the x value.

so, the function is clearly to take the x value, add 2 to it and deliver this as the functional result (y value).

only A fits.

[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}} [/tex]

[tex] \mathbb\purple{GALLONS} [/tex]

Answer:

a) 3 to 4

b) 3 : 4

[tex]\sf \dfrac{girls }{boys} = \dfrac{3}{4}[/tex]

Notice that girls = 3, boys = 4

So, Ratio of girls to boys can be rewritten as 3 : 4 and 3 to 4

Fractions are usually represented in ratio like

So

here

Answer:

1350

Explanation:

27 x 50 = 1350

(Hope this helped!)

Answer:

C

Step-by-step explanation:

28% of 25900 gives you 7252 and it is asking approx. and that is 7200

Given that a ∇ b = 4, it doesn't matter what values you choose for a and b, the result of the ∇ operation is always 4.

So, unless your question is missing some additional details, we have

(4 ∇ 3) ∇ 6 = 4 ∇ 6 = 4

and

(7 ∇ 2) ∇ 5 = 4 ∇ 5 = 4

Answer:

a) he sells them for $ 8 each. what was his % profit

Step-by-step explanation:

Answer:

16.12 mi²

Step-by-step explanation:

The formula for the area of a trapezoid is A = 1/2h([tex]b_{1} +b_{2}[/tex]), where [tex]b_{1}[/tex] stands for base 1, and [tex]b_{2}[/tex] represents base 2. Plugging in the given values, we have A = 1/2(3.1)(8.3 + 2.1). Now we can solve.

------------------------------

A = 1/2(3.1)(8.3 + 2.1)

1/2(3.1)(10.4)

1.55(10.4)

= 16.12 mi²

hope this helps!

Answer:

A. 4+5/2= 6,5 mean

Step-by-step explanation:

I don't get the second question. Sorry! But at least I tried to help part A.

Answer:

Part A Answer: 5 Part B Answer: 1.25

Step-by-step explanation:

Part A: I added all the numbers up to equal 40. 40 divided by the number of numbers given (8) equals 5.

Part B: I know the answer is 1.25 for sure but trying to figure out how to explain it!

Answer:

y=x-3

Step-by-step explanation:

Slope intercept form: y=mx+b

x-y=3

-y=-x+3

y=x-3

Answer:108

Step-by-step explanation:

Answer: 108 minions

Step-by-step explanation:

Answer:

7 x 3 .

Step-by-step explanation:

Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3√49x7 f - 1 ( x ) = 49 x 3 7 is the inverse of f(x)=7x3 f ( x )

The inverse function is y= (x-3)/7

An expression which defines the relationship between two variables (one independent and one dependent variable).

The independent variable is the variable being controlled in the problem, and the dependent variable is the variable that changes with the change of independent variable.

A function that undoes the original function is called the inverse function.

To find the inverse function of a given function,

In the problem,  

y=7x+3

To find the inverse

x = 7y + 3    ( interchanging the variables )

Now finding the value of y,

⇒ x - 3 = 7y

⇒ y = (x-3)/7

This is the inverse function.

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Answer:

The sum of one-half and a number is more than eighteen.

The sum of one-half and a number is greater than eighteen.

The sum of one-half and a number is above eighteen.

Step-by-step explanation:

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Question: Which phrases can be used to represent the inequality? Check all that apply.

         One-half + k greater-than 18

Answer:

a. The sum of one-half and a number is more than eighteen.                      b. The sum of one-half and a number is greater than eighteen.

c. The sum of one-half and a number is above eighteen.

Answer:

D

Step-by-step explanation:

A triangle with sides 2, 4.5, and 6 is similar to a triangle with sides 4, 9, and 12.

[tex] \frac{4}{2} = \frac{9}{4.5} = \frac{12}{6} = 2[/tex]

Answer:

65% of it or 325 of the 500MI

Step-by-step explanation:

65% of solution is water. 65% of 500 total is 325.

Answer:

She bought 10 apples and 10 bananas

Step-by-step explanation:10 apples - $1.50 each x 10 apples = $15.00

10 bananas - $1.25 each x 10 bananas = $12.50

15.00+12.50=$27.50

x+y=28.00

1.50x+1.25y=28

Natalie's age = n

Fred's age = f

n + f = 43

4n + f = 88

f = 43 - n

4n + (43 - n) = 88

3n + 43 = 88

3n = 45

n = 15

f = 43 - n

f = 43 - 15

f = 28

Natalie is 15

Fred is 28

Hope this helps!

Answer: yes figure b is a scale copy of figure a

Step-by-step explanation:

figure A: 10, 10, 5 which can simplify to 2, 2, 1 while keeping the same ratio

Answer:

B) 25 / 8

Step-by-step explanation:

We know that pi = 3.14*, or "3 and a little bit more". 25/8=3.125 which is approximately pi.

[tex]\textbf{3)}\\\\~~~~~3x^2\cdot 5 = 80\\\\\implies 15x^2 = 80\\\\\implies x^2 = \dfrac{80}{15}\\\\\implies x^2 = \dfrac{16}3\\\\\implies x = \pm\sqrt{\dfrac{16}3}\\\\\implies x = \pm \dfrac 4{\sqrt 3}\\\\\textbf{4)}\\\\~~~~~~(x-5)^2 = 81\\\\\implies x -5 =\pm\sqrt{81}\\\\\implies x -5 = \pm9\\\\\implies x = 5\pm9\\\\\implies x = -4,~ x = 14[/tex]

The decimal value is approximate.

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Explanation:

The face cards are Jack, Queen, King.

We have 3 face cards for each suit, and 4 suits, giving 3*4 = 12 face cards out of a 52 card deck.

The first card is a king, which is not put back. This means have 12-1 = 11 face cards left out of 52-1 = 51 cards left.

The probability of getting another face card is 11/51 = 0.2157 approximately

This is about a 21.57% chance

Note: if the first card was put back, or replaced with an equal copy, then the answer would be 12/52 = 3/13 = 0.2308 = 23.08%

Answer:

The probability of choosing a face card for the second card drawn if the first card was a king, drawn without replacement, is 11/663 or .0166.

Step-by-step explanation:

There are 52 cards and 12 of these are face cards.

The probability of drawing a king for the first card is the number of kings divided by the total number of cards:

The probability of drawing a face card after the first card was drawn without replacement is:

Since these events are dependent (drawing without replacement), we can use this basic probability formula:

This formula tells us the probability of first drawing the king card, then drawing a face card afterward since 2 cards are being drawn. We must calculate the probability of both of these events occurring one after the other.

P(A) refers to the probability of getting a king on the first draw, 4/52, and P(B) refers to the probability of getting a face card on the second draw, 11/51.

Let's multiply these probabilities together.

The probability of choosing a face card for the second card drawn, if the first card drawn without replacement was a king, is 11/663 or .0166.

[tex] \large \sf \: ⇒ \: 7(x + 6) \\ \\ \large \sf⇒ \:distributing \: 7 \: with \: bracket \\ \\ \large \sf \: ⇒7x + 42[/tex]

[tex]\boxed{\rm{Option\:A\green{✓}}}[/tex]

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Hope it helps !

Hi!

The purple triangle is the pre-image.

See those little quotation marks on the letters of the blue triangle?

When we say the name of the triangle, we would say triangle ABC prime, meaning it's the post image, because it's like a copy of the other one, hence the quotes.