There is 0.6 probability that a customer who enters a shop makes a purchase. If 10 customers are currently in the shop and all customers decide independently, what is the variance of the number of customers who will make a purchase?
Group of answer choices
10⋅0.6⋅(1−0.6)
0.62
0.6⋅(1−0.6)

Answers

Answer 1

The variance of the number of customers who will make a purchase is 2.4.

The variance of the number of customers who will make a purchase can be calculated using the formula:

Variance = n * p * (1 - p)

where n is the number of customers and p is the probability of a customer making a purchase.

In this case, n = 10 and p = 0.6. Substituting these values into the formula, we get:

Variance = 10 * 0.6 * (1 - 0.6)
Variance = 10 * 0.6 * 0.4
Variance = 2.4

Therefore, the variance of the number of customers who will make a purchase is 2.4.

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Related Questions

45x^4 + 72x^3 is factored form

Answers

Answer: 9 x 3 ( 5 x + 8 )

Step-by-step explanation:

Factor  9 x 3  out of  45 x 4 + 72x 3 .

An archaeologist used string to make a grid over an area
where she was digging. She discovered a bowl buried at
(1,4) and a tool at (3, 10) on her grid. She suspected that an
item was buried at the midpoint of the segment connecting
the bowl and the tool. At which position on her grid should
the archaeologist dig to look for the buried item?

Answers

Answer:

option a c d are correct

Step-by-step explanation:

    Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).

Mid-point of a segment joining two points: If two points (a, b) and (c, d) are joined by a line segemnt, coordinates of the midpoint will be,

        Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]

Given points representing a bowl and a tool are (1, 4) and (3, 10).

Since, an item is burried at the midpoint of the segment joining bowl and tool,

Use the expression for the position of the mid-point of the segment.

Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]

                                 → (2, 7)

       Hence, position of the burried item will be at (2, 7).

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how to factor this expression

x^3 - 4x^2 + 4x - 16

Answers

x²(x - 4) +4 (x - 4)

(x² + 4) (x - 4)

First find the common terms that can enter into both x³ and 4x² then write its down in this case it’s x² that can enter x³ leaving only x _since x³/x² = subtract of the indices. x² will also enter 4x² leaving only four hence you having x² (x - 4)
then do the same for the next pair of terms giving you 4 that can enter into both 4 and 16
Leaving you with +4 (x - 4)

Now you can put the common terms together like so (x² + 4) and choose get one of the other two which are the same= (x - 4)
= (x² + 4) (x - 4)

Please answer this question with a complete answer

Answers

Answer:

true, false, true

Step-by-step explanation:

first one:

|-3.17|=3.17

-3.17 cannot be negative away, so it must be positive.

second one:

|7.29|=7.29

not equal to -7.29

third one:

no matter if it's negative or positive, you always use absolute value (||) to measure distances between number lines

brainliest plz

15 POINTS! PLEASE HELP ASAP! WILL GIVE BRAINLIEST!

Answers

2nd question is 1,3,2,4

if c% of a number is (a+b) what is the number

Answers

Answer:(a+b)/c ×100

Step-by-step explanation:

Let the number be "x"

According to the question,

X×C% = a+b

>> X × C/100 = a+b

So, x =(a+b)/c × 100

Jaime has lunch at a restaurant and needs to determine how
much tip to leave based on his bill. If his bill was $14.41 and
Jaime wants to leave a 20% tip, what is a reasonable estimate
for how much he should leave?

Answers

Answer:

2.88

Step-by-step explanation:

A woman rides a bicycle for 1 hour and travels 12 kilometers. Find the angular velocity of the wheel if the radius
is 33 centimeters.

rad/min

Answers

14.81 radians/second

Step-by-step explanation:

don’t understand........

Answers

Answer:

120 cubic inches.

Step-by-step explanation:

The formula for volume is length times width times height. So if you take the length (10), and you take the width (3), and then you multiply them together you get 30. Now all you have to do it multiply that to the height (4) so you get 120. So your answer should be 120 cubic inches.

10 × 3 = 30

30 × 4 = 120

I hope this helps you and you understand now. Have a nice day! :D

2horas 3 minutos 47 s as​

Answers

Answer: I dont understand.

Step-by-step explanation:

A player kicks a soccer ball resting on the ground. The height of the ball, h(t) in feet, after t seconds can be represented by the function h(t) = -16+2 +96t.
Use this information to answer the two questions that follow.
Part A: What is the total elapsed time, in seconds, from the time the ball is kicked until it reaches ground level again?
seconds
Part B: When will the ball reach its maximum height?
After seconds

Answers

Answer:

Part A: 6

Part B: 3

Step-by-step explanation:

trust me.

Answer:

6 seconds

After 3 seconds

Step-by-step explanation:

h(t) =-16t^2+96t

a=-16

b=96

c=0

96/2(-6) =3

Max = 3

(0,)

(6,0)

ht/t  = 16t^2+96/t

The measure of an angle is 89. Find the measure of its supplement

Answers

Step-by-step explanation:

Supplementary angles are equal to 180°. To determine the supplement of any angle, subtract the given angle from 180°.

[tex] \text{Supplement \: of \: 89 \: \degree = 180 \degree - 89\degree = \boxed{ \bold{ \text{91\degree}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

# [tex] { \underbrace{ \text{Carry \: On \: Learning}}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer the photo below thanks

Answers

Answer:

D.

Step-by-step explanation:

3/6 = 30/60

Answer:

The answer is D

Step-by-step explanation:

3/6 = 30/60

If you divide the top and bottom of 30/60 by 10 you get 3/6

Hope that helps

A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 1200 sets are sold, what is the amount of money that will go to the school?

Answers

The amount of money that will go to the school is $ 3816.00

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The sale price of set of pens = $ 5.25

The cost price of set of pens = $ 1.80

The profit of pens = sale price of set of pens - cost price of set of pens

                              = $ 5.25 - $ 1.80

                              = $ 3.45

Now , the equation will be

Forty percentage of profit = ( 40 / 100 ) x $ 3.45

                                           = $ 1.38

The amount that will go to the school =
Forty percentage of profit + cost price of set of pens

The amount that will go to the school for 1 set of pen = $ 1.38 + $ 1.80

                                                                                        = $ 3.18

The equation will be ,

Now , the total number of sets of pens sold = 1200

And , the total cost price of 1200 sets of pens =
cost price of set of pens x 1200

The total cost price of 1200 sets of pens = $ 1.80 x 1200

                                                                   = $ 2160

The total profit of 1200 sets of pens = Forty percentage of profit x 1200

                                                            = $ 1.38 x 1200

                                                            = $ 1656

Therefore , the amount that will go to the school for 1200 sets of pens =
total cost price of 1200 sets of pens + total profit of 1200 sets of pens

The amount that will go to the school for 1200 sets of pens
= $ 2160 + $ 1656

The amount that will go to the school for 1200 sets of pens  = $ 3816

Therefore ,

The amount that will go to the school = $ 3816.00

Hence , The amount of money that will go to the school is $ 3816.00

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could someone pleaseee help me :)

Answers

Answer:

1st one

Step-by-step explanation:

Answer:

a = 24

a = 150

a = 66

Step-by-step explanation:

your welcome

which even number is a prime number​

Answers

Answer:

2

Step-by-step explanation:

The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.

Answer:

Answer is 2

Step-by-step explanation:

The only even number which is a prime is 2. It is the smallest prime number. Except 2, all other prime numbers are odd numbers.

I hope it's helpful!

multiple choice geometry question helppp

Answers

COS = Adjacent / Hypotenuse

CosZ = 24/30

1) Today's temperature will be at least 55°, but not more than 65º. Write and graph an inequality to show this situation.​

Answers

Answer:

[tex]55 \leqslant x < 65 [/tex]

Prove: 12. Given: BC || EF, ZBEFE ZDCG Prove: AB 11 DC 11. Given: m BCD + m.ZBEF= 180°, AB || DC Prove: BC || EF B C 5. F E​

Answers

Answer:1. Given: mx1 = 101°, m.25 = 101°. Prove:/ || n . 1. 11. given. <1=1019. (5=101. 2. <1 2 <5 ... 2. Given: 48 = 22. Prove:1 ||n. 1. <. 8722. Il given. J. Ext. 87. 2. elin. 12. alt.int ks form / ... Prove: BC || EF. - ll lines. 1. <BCD + <BEF=180' 11. Diven. ABII DC. 2. ... 6. Given: BC || EF, ZBEFE ZDCG lunes a. Prove: AB || DC. 1. B C ll EF.

Step-by-step explanation:

A department store buys 200 shirts at a cost of $5,400 and sells them at a selling
price of $30 each. Find the percent markup.
The percent markun ico


please help

Answers

Number of shirts a department store bought = 200

Cost price of 200 shirts = $5400

Cost price of 1 shirt :

[tex] =\tt \frac{5400}{200} [/tex]

[tex]\color{plum} =\tt \$27[/tex]

Thus, the cost price of one shirt = $27

Price at which the department store sold each shirt = $30

Which means :

▪︎Cost price of shirt = $27

▪︎Selling price of shrit = $30

Since selling price is greater than cost price, there was a markup in the price of the shirts.

We know that :

[tex] \color{hotpink}\tt \: markup \: percentage = \color{plum} \frac{selling \: price - cost \: price}{cost \: price } \times 100[/tex]

Markup percentage in the price of the shirts :

[tex] = \tt \frac{30 - 27}{27} \times 100[/tex]

[tex] = \tt \frac{3}{27} \times 100[/tex]

[tex] = \tt \frac{3 \times 100}{27} [/tex]

[tex] = \tt \frac{300}{27} [/tex]

[tex] \color{plum} = \tt11.1 \%[/tex]

Thus, the percentage of markup = [tex] \tt 11.1 \% [/tex]

Therefore, the percentage of markup in the shirt's price = [tex] \color{hotpink} \tt11.1 \% [/tex]

Answer:

11.11%

so mark me as brainlist

Find the area of a regular octagon with an apothem of 8.45 cm and a side length of 7 cm. (round to the nearest whole number) A) 59 cm2 B) 118 cm2 C) 237 cm2 D) 473 cm2

Answers

Answer:

237

Step-by-step explanation:

The area of the regular octagon is 237 cm^2

How to determine the area?

The given parameters are:

Apothem (a) = 8.45

Side length (s) = 7

Number of sides (n) = 8

The area of the regular octagon is then calculated as:

A = 0.5 * a * n * s

This gives

A = 0.5 * 8.45 * 8 * 7

Evaluate the product

A = 236.6

Approximate

A = 237

Hence, the area of the regular octagon is 237 cm^2

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Write a proportion for brainliest

Answers

Answer:

B) [tex]\frac{WV}{VY} =\frac{VX}{XY}[/tex]

Step-by-step explanation:

The triangle VXY and triangle VWY are similar because they are both right triangles. Option B shows the correct proportions based off of this. Line WV is similar to line VX and line VY is similar to line XY.

I hope it helps and is correct!

‘Find the value and figure of B’

Answers

Answer:

b = 12 in

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

b^2 + 9^2 = 15^2

b^2 = 225 - 81

b^2 = 144

b = 12

Answer: b = 12 in

what is 10% of $10
Pls i need help

Answers

Answer:

1 dollar

Step-by-step explanation:

1 dollar is one tenth of a dollar ie 10%

Answer:

the answer is $1.

Step-by-step explanation:

- convert 10% into decimal form, which is 0.10

- then multiply 0.10 to 10

- that would equal to 0.10x10=1

A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level. What is the distance between the heights of the pelican and the heron
A.67 feet
B. -67
C. 33
D.-33

Answers

Answer:

Its C

Step-by-step explanation:

The student council is selling carnations for Valentine's Day. Two different shops can provide these flowers. . Gracie's Flowers charges a $5.00 fee per order plus $0.75 per carnation Ben's Blooms charges a $10.00 fee per order plus $0.25 per carnation for an order. Gracie tells you the equation that would work with her shop: Using c to represent the total cost for an order of carnations and n to represent the number of carnations in the order, her equation is c=0.75n + 5.00 Ben is not sure how to write the equation for his shop. Fill in the following blanks to help him: C = nt​

Answers

9514 1404 393

Answer:

  c = 0.25n +10.00

Step-by-step explanation:

The form of the equation is ...

  c = <cost per carnation>n + <fixed fee>

For Ben's shop, the equation would be ...

  c = 0.25n + 10.00

Find 6m if m = 5/13

6 5/13

5

2 4/12

5/78

Answers

m= 5/13
6m= 6(5/13)
6m = 30/13

need help asap! will give brainliest<3

Answers

Answer:

(B)

Step-by-step explanation:

HELPPP 40 POINTSS......​

Answers

Answer:

the answer is 4

Step-by-step explanation:

Answer: The answer to question 3 is 6. The answer to question 4 is 4.

Step-by-step explanation: In question 3, if you plug in 6, that gives us 12+5. 12+5 is 17. In question 4, you can turn the words into an equation like this: 2n + 3 = 11. Plug in 4 and that gets you to 8 + 3. 8+3 is 11.

Classify the real numbers as rational or irrational numbers.

Answers

Answer:

omg I'm working on this one too and I cant figure it out did you ever get the answer I can t find it anywhere and I'm not sure what it is all I have is 400 is rational

Step-by-step explanation:

Rational numbers

-5/250

[tex]\sqrt{400}[/tex]

irrational numbers

5.01212121212....

[tex]\sqrt{1,000}[/tex]

[tex]\sqrt[3]{30}[/tex]

0.01562138411....

Step-by-step explanation:

sorry i answered late

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