The probability that a person has blue eyes is 16%. Three unrelated people are selected at random. a. Find the probability that all three have blue eyes b. Find the probability that none of the three have blue eyes c. Find the probability that one of the three has blue eyes

Answers

Answer 1

Answer:

Step-by-step explanation:

All three have blue eyes.

P(1 has blue eyes) = 16/100 = 4/25

P(3 have blue eyes) = 4/25 * 4/25 * 4/25

P(3 have blue eyes ) = 64/15625

If you need the decimal answer, it is .004096

No one has blue eyes out of three

The probability for this is very large.

P(no blues) = 1 - 64/15625

P(no blues) = 15561/15625  

If you need the decimal answer, it is 0.996

One has blue eyes (the other two do not).

P(1 has blue eyes) = 16/100 * 84/100*84/100

P(1 has blue eyes) = 112896/1000000

P(1 has blue eyes) = 0.112896


Related Questions

Question in pic, please help

Answers

Answer:

The first one

(I can't see it too properly but if the dot on -10 has a hole in it then this is the answer)

The perimter of a rectangle is 34 units. Its width is 6.5 units. Write an equation to determine the length (l) if the rectangle

Answers

Answer:

Step-by-step explanation:

P=2(w)+2(l)

34=2(6.5)+2(l)

34=13+2(l)

21=2(l)

10.5=l

what is the measure of angle W in the figure

Answers

Angle w equals 130 degrees.

Explanation:
A line equals: 180 degrees total.
180-50=130

(7.3 × 10-9) + (1.5 × 10−9) in standard form

Answers

Answer:

The answer in standard form is 70.

Answer:

(7.3*10-9)+(1.5*10-9)

(73-9)+(15-9)

64+6=70

Step-by-step explanation:

using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equation 10.0y-4.55x=581. where x is the number of years after 2000 what is projected population in 2026?

Answers

Answer:

The projected population in 2026 is of 699.3 million.

Step-by-step explanation:

Population:

The population, in x years after 2000, is given by the follwing equation:

[tex]y - 4.55x = 581[/tex]

That is:

[tex]y(x) = 4.55x + 581[/tex]

What is projected population in 2026?

2026 - 2000 = 26, so this is y(26).

[tex]y(26) = 4.55(26) + 581 = 699.3[/tex]

The projected population in 2026 is of 699.3 million.

Which expression is equivalent to
3/14x + (- 1) + (- 4) – 2/7x?
Choose the correct answer below.

A. -5 1/14x - 5
B. 5 1/14x + 5
C. -1/14x - 5
D. 5/14x - 5

Answers

Answer:

A and b

Step-by-step explanation: Because ....

i think it’s a and b

Find the surface area of the prism.

Answers

Answer:

D

Step-by-step explanation:

Base area = (leg 1 x leg 2)/2 = (9 x 12)/2 = 54 ft^2

Base perimeter = leg 1 + leg 2 + hypotenuse = 9 + 12 + 15 = 36 ft

LA= base perimeter x 24 = 36 x 24 = 864 ft^2

SA = 2 x base area + LA = 54 x 2 + 864 = 972 ft^2

The following condensed information was reported by Peabody Toys, Inc., for 2021 and 2020: ($ in thousands) 2021 2020 Income statement information Net sales $ 6,900 $ 5,900 Net income 374 158 Balance sheet information Current assets $ 970 $ 920 Property, plant, and equipment (net) 2,630 2,280 Total assets $ 3,600 $ 3,200 Current liabilities $ 1,660 $ 1,310 Long-term liabilities 920 920 Common stock 700 700 Retained earnings 320 270 Liabilities and shareholders’ equity $ 3,600 $ 3,200 Required: Determine the following ratios for 2021: (Round your percentage answers to 1 decimal place.) Determine the amount of dividends paid to shareholders during 2021. (Enter your answers in whole dollars, not in thousands. For example, $150,000 rather than 150.)


1a. Profit margin on sales 5.4 %
1b. Return on assets %
1c. Return on equity %
2. Dividends paid ?

Answers

Answer:

The answers are given below.

Step-by-step explanation:

The computation is shown below:

1.a.

Profit Margin = Net Income ÷ Sales × 100

= $374 ÷ $6,900 ×100

= 5.4%

1-b:

Average Assets = (Beginning Assets + Ending Assets) ÷ 2

= ($3,200 + $3,600)  ÷ 2

= $3,400

Now  

Return on Assets = Net Income ÷ Average Assets

= $374 ÷ $3,400

= 11%

1-c

Average Equity = ($700 + $700 + $320 + $270) ÷ 2

= $995

Now  

Return on Equity = Net Income ÷  Average Equity *100

= $374 ÷ $995

= 37.59%

2:

Dividends Paid = Beginning Retained Earnings + Net Income – Ending Retained Earnings

= $270 + $374 - $320

= $324

Evaluate the expression when b= 2 and c=-5. -b+6c

Answers

Answer:

-32

Step-by-step explanation:

- 2 + 6 * -5 = -32

Answer:

- 32

Step-by-step explanation:

- b + 6 c

Where we've

b = 2 and c = -5

- ( 2 ) + 6 ( -5 )

- 2 - 30

Urgent!! Please I'm flan cup!!!

Answers

Use excel and auto fill it

Answer to the question

Answers

Answer:

x = 4

Step-by-step explanation:

180 = 102 + 24x - 18

102 - 18 = 84subtract 84 from both sides96 = 24xdivide both sides by 44 = x

which expresion is equivalent to-12(3x-3/4)
A -36x-8
B -36x+8
C -36x-9
D -36x+9​

Answers

Answer is D :) it makes sense

Which type of equation can be used to model the data in the table below?

0 1 2 3
2 6 18 54
exponential
quadratic
linear
constant

Answers

An exponential equation can be used to model the data in the table below.

The correct option is A.

What is an exponential function?

Mathematical functions with exponents include exponential functions. f(x) = abˣ, where b > 0 and b 1, is a fundamental exponential function.

Given:

x = 0   1  2  3

y = 2  6  18  54

From the above data points:

The common ratio of the function,

6/2 = 3

18/6 = 3

54/18 = 3

Therefore, the function is exponential.

To learn more about the exponential:

https://brainly.com/question/14344314

#SPJ1

I NEEED HELP ASAP PLEASE

Answers

Answer:

17.6

Step-by-step explanation:

19sin(68) = 17.6

A box has seven orange hats and 19 yellow hats if you pick three hats without replacement what is the probability that you pick at least two orange hats from the box?

Answers

Answer:

a chance of 3.16

Step-by-step explanation:

If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is
the first term?

Answers

Answer:

the first term is 4

Define the word coeffcent

Answers

Answer:

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

or:

a multiplier or factor that measures some property.


a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Solve the equation for w 5(w-2)+10=2w+6​

Answers

Answer:

w=2

Step-by-step explanation:

See image below:)

Answer:

w = 1/2 or w = 3/6

Step-by-step explanation:

5(w-2) + 10 = 2w + 6

5(w-2) + 10 = 5w + 10 - 10 = 5w (the 5 outside of the bracket multiplies with the digits inside, including the w)

Now you have :   5w = 2w+6

Transfer the 2w to the left side, which would make it negative, therefore

5w - 2w= 6

3w = 6

w = 3/6

or

w = 1/2 (simplified)

Determine algebraically whether the function is even, odd, or neither even nor odd.
f(x) = -3x^4 - 2x - 5

Neither
Even
Odd

Answers

Answer:

Neither

Step-by-step explanation:

the answer to this question is neither

Simplify the given expression and enter in numerical form.6+5

Answers

Answer:

6+5=11

Step-by-step explanation:

6 is added to 5

i am sorry if i am wrong

For the given values of n and d, find integers q and r such that n = dq + r and 0 ≤ r < d. n = −67, d = 8

Answers

Answer:

[tex]q = 8[/tex]

[tex]r = 3[/tex]

Step-by-step explanation:

Given

[tex]n = dq + r[/tex]

[tex]0 \le r < d[/tex]

[tex]n = 67[/tex] --- not -67

[tex]d = 8[/tex]

Required

Find q and r

Substitute values for d and b

[tex]n = dq + r[/tex]

[tex]67 = 8 * q + r[/tex]

[tex]67 = 8q + r[/tex]

Make q the subject

[tex]q = \frac{67 - r}{8}[/tex]

[tex]0 \le r < d[/tex] means that r is less than 8 but greater than or equal to 0

And r and q are integers.

Let [tex]r = 3[/tex]

[tex]q = \frac{67 - 3}{8}[/tex]

[tex]q = \frac{64}{8}[/tex]

[tex]q = 8[/tex]

No other true values of r and q can be gotten.

Can y’all help me on question 27?!

Answers

Answer:

A cube can be made out of this

Step-by-step explanation:

Hope this helps you :)

It is a cone : easy peasy lemon squizy

Help solve this problem

Answers

Answer:

x = -7

Step-by-step explanation:

(x + 14) + (x + 12) = 12

Combine like terms

2x + 26 = 12

Subtract 26 from both sides

2x = -14

Divide both sides by 2

x = -7

Answer:

Step-by-step explanation:

PQ +QR = PR

x + 14 + x + 12 = 12

Combine like terms

x + x + 14 + 12 = 12

        2x + 26 = 12

Subtract 26 from both sides

               2x = 12 - 26

               2x = -14

Divide both side by 2

                 x = -14/2 =

x = -7

HELP SUMMER ALGEBRA 2! the rest of the answer d is numerator and denominator of both fractions

Answers

9514 1404 393

Answer:

  the correct choice is marked

Step-by-step explanation:

The denominators of the two fractions must be the same. To make that happen, Juan can multiply the second fraction by (x-2)/(x-2) -- the marked answer choice -- and multiply the first fraction by 3/3. These operations can be done in some order.

The offered choices suggest that treating the second fraction first is Juan's preferred choice.

multiply the second fraction by (x-2)/(x-2)

A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm. What is the area of the trapezoid?
?
O 28 cm
O 36 cm
O 45 cm
O 90 cm?

Answers

Answer:

28 square centimeters

Step-by-step explanation:

The area of a trapezoid (formula):

(a + b) ÷ 2 x h

Where a & b are the bases, and h is height.

Use formula with given measurements:

(9 + 5) ÷ 2 x 4 = 28

Area is measured in square centimeters

(centimeters in this case)

Therefore the area if the trapezoid is 28 cm^2

I really hope this helps!

The average mass of a grain of sand is 1.5 x 10^-5 grams. Erin's sandbox has approximately 3.067 x 10^11 grains of sand in it. What is the mass of the sand in Erin's sandbox?​

Answers

Answer:

4.6005 * 10^6 grams

Step-by-step explanation:

Average mass of sand grain = 1.5 * 10^-5 grams

Number of grains in Erin's sandbox = 3.067 * 10^11 grains

To obtain the mass of sand in Erin's grain box :

We multiply the mass per sand grain and the number of grains

(1.5 * 10^-5) * (3.067 * 10^11)

1.5 * 3.067 = 4.6005 * (10^(-5+11))

4.6005 * 10^6 grams

8. In rural third world countries, farmers use a
conical bucket, the "Gầu Dây” to drain/transfer
water from one rice field to another. If the height
is 20" & the diameter of the opening is 15”, how
much cubic feet of water can two farmers drain
in three hours if their rate is 28 “gầu" per
minute?

Answers

9514 1404 393

Answer:

  6872 cubic feet

Step-by-step explanation:

The volume of the conical bucket is ...

  V = 1/3πr²h

  V = 1/3π(15/2 in)²(20 in) = 375π in³

There are 60 minutes in 1 hour, so 3×60 = 180 minutes in 3 hours.

If each of 2 farmers can transfer 28 buckets per minute the total amount transferred is ...

  (375π in³)(180 min)(2 farmers)(28/min/farmer) = 3,780,000π in³

There are 1728 in³ in 1 ft³, so this is ...

  (3,780,000π/1728) ft³ = 2187.5π ft³, about 6872 cubic feet.

let X1 and X2 have the joint pdf, f(x1, x2) 0

Answers

Answer:

Please find the complete question in the attached file.

Step-by-step explanation:

For point a:

[tex]\to fx_1(x_1)=\int^{x_{1}}_{0} f(x_1,x_2)\ dx\\\\[/tex]

[tex]=\int^{x_{1}}_{0} e^{-x_1}\ dx_2\\\\= e^{-x_1} \ [x_2]^{x_1}_0 \\\\\therefore f x_1(x_1)=x_1e^{-x_1}; \ \ x_1>0\\\\[/tex]

For point b:

[tex]\to f(x_2|x_1)=\frac{f(x_1,x_2)}{f(x_1)}\ =\frac{e^{-x_1}}{x_1\ e^{-x_1}}=\frac{1}{x_1} ; \\\\ \ \ 0\leq x_2 \leq x_1 \\\\[/tex]

For point c:

[tex]P(x_1>2|x_2=7)= 1.00 \\\\\because x_2=7\to x_1>7\to x_1>2\\\\[/tex]

What is the factorization of the trinomial below?
x2 - 6x + 5
O A. (X - 4)(x - 2)
O B. (X - 5)(x - 1)
O C. (x + 4)(x - 2)
O D. (x + 5)(x - 1)

Answers

B. [tex](x - 5)(x - 1)[/tex] ✅

Step-by-step explanation:

[tex] {x}^{2} - 6x + 5 \\ \\ = \:{x}^{2} - 5x - x + 5 [/tex]

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] =\: x(x - 5) - 1(x - 5)[/tex]

Taking the factor [tex](x-5)[/tex] as common,

[tex]=\:(x - 5)(x - 1)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

The formula A(t) = 756e^(0.035)t models the growth of an investment due to continuously compounded interest. What does 0.035 stand for?
A) the numbers of years since the initial investment
B) the amount after t years
C) the initial amount invested
D) the interest rate

Answers

Answer:

D) the interest rate

Step-by-step explanation:

The formula for continuously compounded interest is [tex]A(t)=Pe^{rt[/tex] where [tex]P[/tex] is the principal/initial value, [tex]r[/tex] is the interest rate in decimal form, and [tex]t[/tex] is the amount of time since the initial investment. In this case, [tex]r=0.035[/tex] would be an annual interest rate of 3.5% per year.

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