Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 37%. If they have six children, what is the probability that at most one of their six children will have that trait? Round your answer to the nearest thousandth.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Answer:

Sum: 0.78619≈0.786

Step-by-step explanation:

n=4

r=1, 2, 3, 4

r=1,2,3,4

"At least" counts up.

p=32\%=0.32

p=32%=0.32

q=1-0.32=0.68

q=1−0.32=0.68

The chance a success does NOT occur.

_{n}C_{r}p^rq^{n-r}

Answer 2

The probability that at most one of their six children will have that trait is 0.68

How to determine the probability?

From the question, the given parameters are

Number of children, n = 6

Probability of a child with the trait, p = 37%

The required probability that at most one will have that trait is represented as P(x ≤ 1)

This probability is calculated ;

P(x ≤ 1) = P(0) + P(1)

Where

P(x) = ⁿCₓ * pˣ (1 - p)ⁿ⁻ˣ

So, we have

P(x ≤ 1) = ⁷C₀ (37%)⁰  (1 - 37%)⁷⁻⁰ + ⁷C₁  (37%)¹  (1 - 37%)⁷⁻¹

Evaluate;

P(x ≤ 1) = ⁷C₀ * 1 * (63%)⁷ + ⁷C₁ * (37%) * (63%)⁶

So, we have;

P(x ≤ 1) = 1-0.32= 0.68

Hence, the probability is 0.68

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Related Questions

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You can buy 6 tangerines
you can buy 6 tangerines :)

Interpret the y-intercept!, Brainiest will be given out!

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Answer:

Y intercept = 3

Step-by-step explanation:

Answer:

b) At 10 years, the height is 24 feet

Step-by-step explanation:

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Answer:

268

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A= 2(wl+hl+hw)

A(bh) are times base times height

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Answer:

top right is the hypotenuse, top left is a leg, bottom right is a leg

Step-by-step explanation:

Every triangle has 2 legs and 1 hypotenuse. The hypotenuse is always the longer side and across the 90 degree angle. All of the other sides would be called the legs because they are not the hypotenuse

What makes a rhombus special?

Answers

Answer:

A rhombus is a special parallelogram because its sides are always equal.

One of the two characteristics that make a rhombus unique is that its four sides are equal in length, or congruent. ... If you have a quadrilateral with two pairs of parallel sides, you do not necessarily have a rhombus; you might have a parallelogram, or you could have a rhombus if all four sides are the same length.

During a building project, a brick is
dropped from a height of 1,936 ft. If the
equation for height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the brick to
hit the ground?
[?] seconds

Answers

Answer:

11 seconds

Step-by-step explanation:

h(t) = -16t^2 + 1936

When  the brick hits the ground h = 0 so:

-16t^2 + 1936 = 0

-16t^2 = -1936

t^2 = -1936/-16

= 121

t = 11 seconds.

The amount of time taken by the brick to hit the ground is 11 seconds.

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

It is given that during a building project, a brick is dropped from a height of 1,936 ft. If the equation for height as a function of time is h(t) = -16t² + initial height. where t is time in seconds and h(t) is height in feet.

h(t) = -16t² + 1936

When the brick hits the ground h = 0 then the amount of time taken by the brick will be calculated as below:-

-16t² + 1936 = 0

-16t² = -1936

t² = -1936/-16

t²= 121

t = 11 seconds.

Therefore, the amount of time taken by the brick to hit the ground is 11 seconds.

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Write and simplify an expression that represents the perimeter of the parallelogram.

Answers

2(5x+7) + 2(8x-9)
= 10x + 14 + 16x - 18
= 26x - 4

find a solution for each equation 10^c=1,000
c=​

Answers

Answer:3

Step-by-step explanation:

10X10X10

100X10

1000

Write an equation for the relationship between x and y.

Answers

The first one Y=3x:)

SOMEONE PLZ ME 10POINTS and only anwser if you know it!!

Answers

-6
Since (-7,-6) is a point on the graph

Answer

-6

Step-by-step explanation:

Points A,B,C arr collinear points where B is between A and C. if AB=3, BC=2. find AC. ​

Answers

AC=39 because x=9 sjifodjsjrjjfidisjejdj

Mister mayor has asked that you pass a geometry quiz before you begin building. He wants you to make sure you are qualified before you begin building his city.

Answers

Answer:

what do you need help with tho lol

Step-by-step explanation:

PLEASE, SOMEONE, HELP ME PLEASE

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Answer:

D (last one)

Step-by-step explanation:

y=2x+9 y=4x-9 Solve the system of equations.

Answers

Answer:

Your solution is (9, 27) or x = 9, y = 27

Step-by-step explanation:

y = 2x + 9

y = 4x - 9

We can see that both of these equations equal y, so we can set them equal to each other.

2x + 9 = 4x - 9

Add 9 to both sides.

2x + 18 = 4x

Subtract 2x from both sides.

18 = 2x

Divide both sides by 2.

9 = x

Now we want to find y. To do this, plug x = 9 back into one of the original equations.

y = 2(9) + 9

Multiply.

y = 18 + 9

Add.

y = 27

Your solution is (9, 27)

Check your answer by plugging x = 9 and y = 27 back into the original equations.

y = 2x + 9

27 = 2(9) + 9

27 = 18 + 9

27 = 27

y = 4x - 9

27 = 4(9) - 9

27 = 36 - 9

27 = 27

Your answer is correct.

Hope this helps!

Answer:

x=9,y=27

Step-by-step explanation:

y=2x+9,........equation 1

y=4x-9..........equation 2

from equation 1 and 2

we get

2x+9=4x-9

9+9=4x-2x

x=18/2=9

substituting value of x in equation 1

y=2×9+9=18+9=27

The distance in miles that some students live from school is show in the histogram which stamen about the data in the histogram is true

Answers

Answer:

D). The distribution of the data is symmetrical, so the mean and median are within the "2.1-3 mile" category.

Step-by-step explanation:

The last statement i.e. 'The distribution..."2.1-3 mile" category' correctly asserts a true claim regarding the data provided in the given histogram. It aptly states that the dissemination of the data is uniform(2, 4, 5, 4, 2(no. of students) live between the distance of 0.1 to 5 miles from the school) and this causes both the mean, as well as, the median of the distribution to fall in the category between '2.1 to 3 mile.' Thus, option D is the correct answer.

PLZZZ HELP ITS ALMOST DUE

Answers

Answer:

Everytime x goes up 1 y goes up 3

Step-by-step explanation:

I mean its pretty obvious 1=2 2=5 3=8 4=11

The walk-a-thon raised 170% of the expected amount. The goal was $1,500. The walk-a-thon raised how much money?

Answers

Answer: 2,550 was raised for the walk-a-thon

Step-by-step explanation:

Answer:

2550

Step-by-step explanation:

2. What does 1x1=3
mean? Explain and show evidence
ALL

Answers

one times one equals one, not three, meaning this answer is incorrect

What is the factorization of 216x12 – 64?

(6x3 – 4)(36x6 + 24x3 + 16)
(6x3 – 4)(36x9 + 24x3 + 16)
(6x4 – 4)(36x8 + 24x4 + 16)
(6x4 – 4)(36x12 + 24x4 + 16)

Answers

9514 1404 393

Answer:

  (c)  (6x^4 – 4)(36x^8 + 24x^4 + 16)

Step-by-step explanation:

The correct factoring can be found by looking at the first exponent in the second set of parentheses.

The factorization of ...

  (a^3 -b^3)

is ...

  (a -b)(a^2 +ab +b^2)

__

Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...

  a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice

Answer:C

Step-by-step explanation:

NEED HELP ASAP WILL GIVE BRAINLY

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Answer:

c

Step-by-step explanation:

30 points !! and brainlest !!!!! for best answer

Answers

Answer:

look below

Step-by-step explanation:

a. 3.888mm^2

b. 162km^2

c. 0.36cm^2

d.20.25cm^2

e. 9.6m^2

f. 128.832km^2

g. 110.4m^2

h.9.15cm^2

I. 0.084km^2

Directions:Find the measures of the missing angles in each trapezoid. Will give brainliest for full answer.Posted for the 4th time :(

Answers

Step-by-step explanation:

m<M=m<L=110°

m<N=m<O=x → 2x+2(110°)=360° → x=70°

m<E=180°-22°=158°

m<A=360°-(88°+22°+158°)= 92°

m<D=m<O=61°

m<S=m<G=x → 2x+2(61°)=360° → x=238/2 = 119°

Answer:

Step-by-step explanation:

1)∠L + ∠O = 180       {Co interior angles}

  110 + ∠O = 180

            ∠O = 180 - 110

            ∠O = 70

Base angles of isosceles trapezoid are equal

∠M = ∠L

∠M = 110

∠O = ∠N

∠N = 70

2) ∠c + ∠A = 180               {Co interior angles}

   88 + ∠A = 180

            ∠A = 180 -88

            ∠A = 92

∠D + ∠E = 180       {Co interior angles}

22 +∠E = 180

      ∠E = 180 - 22

      ∠E = 158

3)  ∠O + ∠G =  180           {Co interior angles}

   61 + ∠G = 180

         ∠G = 180 - 61

         ∠G = 119

Base angles of isosceles trapezoid are equal

∠D = ∠O

∠D = 61

∠S = ∠G

∠S = 119

Why was the United States interested in rebuilding the Japanese economy after World War II?
A
The United States feared the influence of communist countries in Japan.

B
The United States and Japan had a shared history of colonial oppression.

C
The United States wanted to make the Japanese pay war reparations.

D
The United States planned to occupy Japan for many years to come.

Answers

The answer is A the United States feared the influence of communist countries in Japan have a nice day (:

which expression simplifies to 2x^2y√5x
(show your work on how you simplified)
a. √10x^3y
b. √10x^5y^2
c. √20x^3y
d. √20x^5y^2

Answers

Answer:

c

Step-by-step explanation:

A sphere has a diameter of 34 ft. What is its surface​ area?
The surface area of the sphere is
what ft2 . ​(Type an exact answer in terms of ​.)

Answers

Answer:

≈ 3629.84 ft^2

Step-by-step explanation:

Surface Area = 4πr^2

radius: 17 ft

= 4 · 3.14 · 17^2

= 4 · 3.14 · 289

≈ 3629.84 ft^2

Explain why a rotation of 270 Degress clockwise will result in the same transformation as a rotation of 90 degress counterclockwise.

Answers

Answer:

Step-by-step explanation:

b/c they end up in the same place but take different ways of getting there...  90 + 270 adds up to a full circle of 390 so b/c one goes in the positive direction and one goes in the negative, the both get to the same location, :)

HELPPPP I will mark brainiest wow I can’t spell

Answers

Answer:

V=[tex]\frac{28\pi }{3}[/tex]

Step-by-step explanation:

Plug and chug into the formula, your radius is 2ft, and your height is 7ft.

[tex]V=\pi*2^{2} *\frac{7}{3}[/tex]

V=[tex]\frac{28\pi }{3}[/tex] or 29.30 if [tex]\pi =3.14[/tex]

Write a quadratic equation in standard form with the given roots of -5 and 10

Answers

Answer:

x^2-5x+10

Step-by-step explanation:

As they are two zeros and the standard equation is

x^2+(alpha+beta)x+alpha*beta

I need help. i dont know where to start......

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Answer:

start at x

Step-by-step explanation:

you are welcome

Answer: x=27

Step-by-step explanation: the perimeter is rim of the shape. Since you are already given the perimeter you would need to subtract all of the sides from that number. 93-18-18-15-15= 27 you will be left with the answer to the remaining side.

Find the circumference and area of each circle to the nearest tenth. Use 3.14 for pi. 1.) radius = 1.7 2.) radius = 14 ft 3.) 9 in

Answers

Answer:

Step-by-step explanation:

Circumference of a circle = 2πr

Area of circle = πr²

Here, r = radius of the circle

1). For radius = 1.7 units

Circumference = 2π(1.7)

                         = 2(3.14)(1.7)

                         = 10.676

                         ≈ 10.7 units

Area of the circle = π(1.7)²

                             = 3.14(1.7)²

                             = 9.0746

                             = 9.1 units²

2). For radius = 14 ft

   Circumference of the circle = 2π(14)

                                                 = 28(3.14)

                                                 = 87.92

                                                 ≈ 87.9 ft

    Area of the circle = πr²

                                  = 3.14(14)²

                                  = 615.44

                                  ≈ 615.4 ft²

3). For radius = 9 in.

   Circumference = 2π(9)

                             = 18π

                             = 56.52

                             ≈ 56.5 in

Area of the circle = π(9)²

                             = 81π

                             = 254.34 in²

                             ≈ 254.3 in²

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