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

Read more about probability at

brainly.com/question/251701

#SPJ2


Related Questions

$750 at 6% for 3 years

Answers

Answer:

This is your answer ☺️☺️

Please helpppppp
-3x-42>3
And show work

Answers

Answer:

Step-by-step explanation:

-3x-42 > 3

Add 43 to both sides

-3x>45

Divide both sides by -3

x>-15

A "triply" number is a two digit number equal to three times the product of its digits. List all the triply numbers.

Answers

Answer:  ONLY 15, and 24 there are not more 2 digit triply numbers i have checked all the 2 digits numbers ranging from 10 to 99

Yes there are only 2 triply numbers! Isnt it shocking! I have tried for 2 digit triply numbers from 10 to 99! Yes i did that! Lets go through a basic idea first the product of its digits mean that you mulitply whatever number your checking for a triply number. Example: your checking 15 for a triply number so 1 x 5 = 5 ( you multiply the digits in the 2 digit number to find the product of its digit)! What does 3 times the product of its digits then? hmmmmm. we know that 15's product of its digit is 5 so we mulitiply 5 x 3 because it says three times the product of its digits.

Step-by-step explanation:

15 = 1 x 5 = 5 (we do 1 x 5 because we need to find the product of its digits and to do that we multiply the digits together in the 2 digit number).

5 x 3 = 15 (we multiplied 15 x 3 because it says 3 times the product of its digits. we know the product is 5 and 3 times is multiply by 3 so we do 5 x 3 which equals to 15).

So 15 is a triply number because in the second step when we multiplied 5 x 3 we got 15; and we were checking if 15 was a triply number; because we got 15 as the answer in the second step it is a triply number).

24 = 2 x 4 = 8

8 x 3 = 24  

so we got 24 as the answer again in the second step which means that 24 is a triply number.

In short, you multiply the digits in the number then whatever you get as the answer you multiply it by 3. if you get the digits from te number that you multiplied then you know that number is a triply number. from the number 10 to 99 there are ONLY 2 NUMBERS. I saw people only give 2 numbers online and i was like why does no one give all the triply but in reality there are only 2 triply numbers which are 2 digits. You can check for yourself if you dont believe me using the method above. Thank you! I hope it helped if it helped please give me a thumbs up!

We will find that the "triply" numbers are:

-15, 15, -24, 24.

How to find the "triply" numbers?

We know that these aer two-digit numbers, so we can write them as:

a*10 + b

Where a and b are single-digit numbers.

A "triply" number is equal to 3 times the product of its digits, then we must have:

a*10 + b = 3*(a*b)

Moving all to one side, we have:

10a + b + 3ab = 0

So a "triply" number must meet the above criteria.

Now, the values that can take b are all the single-digit values {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

So now we need to evaluate b and find the possible vales of a.

if b = 0, then:

10*a + 0 - 3*a*0 = 0

10*a = 0

Then a = 0, but this will not give a 2-digit number.

if b = 1 then:

10*a + 1 - 3*a*1 = 0

10*a - 3a = -1

7*a = -1

a = -1/7

This is not a single-digit number.

if b = 2

10*a + 2 - 3*2*a = 0

4*a = -2

a = -2/4

This is not a single-digit number.

if b = 3

10*a + 3 - 3*3*a = 0

a = -3

a should be positive.

if b = 4 we have:

10a + 4 - 12a = 0

-2a = -4

a = -4/-2 = 2

So this gives the number 24.

if b = 5 we have

10a + 5 - 15a = 0

-5a = -5

a = -5/-5 = 1

So this gives the number 15

if b = 6

10a + 6 - 18a = 0

-8a = -6

a = -6/-8

This is not a single-digit.

if b = 7

10a + 7 -21a = 0

-11a = -7

a = -7/-11

At this point we can see that for larger values of a, we will not get more tripply numbers.

So the only "triply" numbers are: 15 and 24 (and their opposites, -15 and -24).

If you want to learn more about evaluating equations, you can read:

https://brainly.com/question/4344214

Which of the following numbers lies between 0.3 and 0.4 ?

Answers

where are the following numbers to refer to?

Answer:

0.39

Step-by-step explanation:

A numerical expression is evaluated as shown.



32 ÷ {57 – 49} × 4 + 27



Step 1: 32 ÷ 8 × 4 + 27

Step 2: 32 ÷ 32 + 27

Step 3: 1 + 27

Step 4: 28



In which step does a mistake first appear?



Answers

Answer:

step 2

Step-by-step explanation:

BODMAS they multiplied first instead of dividing

A bicycle ramp used for competitions is a

triangular prism. The volume of the ramp

is 313.2 cubic feet. Write and solve an

equation to find the width of the ramp.

Possible student work:

V=Bh

13.4ft

Answers

Answer:

8.7 feets

Step-by-step explanation:

As obtained frommthe diagram attached :

Base, b of triangle = 6 feets

Height of triangle, h = 12 feets

Volume of a Triangular Prism is obtained using the relation :

Base Area * Width

Base area of prism :

0.5 * base * height

0.5 * 6 * 12 = 36ft²

Width, w of the ramp =x

Volume, V = 313.2 ft³

V = base area * width

313.2 = 36 * x

313.2 = 36x

x = 313.2 / 36

x = 8.7 feets

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

[tex] \sqrt{193} [/tex]

Step-by-step explanation:

Given,

Height of the triangle = 7

Base of the triangle = 12

Hypotenuse of the triangle = x

Therefore, According to Pythagoras Theorem,

[tex] {(hypotenuse)}^{2} = {(base)}^{2} + {(height)}^{2} [/tex]

[tex] {x}^{2} = {12}^{2} + {7}^{2} [/tex]

[tex] = > {x}^{2} = 144 + 49[/tex]

[tex] = > {x}^{2} = 193[/tex]

[tex] = > x = \sqrt{193} (ans)[/tex]

Solve for X. Plz I can't figure it outtt!

Answers

9514 1404 393

Answer:

  x = 40

Step-by-step explanation:

The angle bisector divides corresponding sides proportionally.

  x/16 = 25/10

  x = 16(25/10) . . . . . multiply by 16

  x = 40

Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.

Answers

Answer:

20.0 units

Step-by-step explanation:

[tex]\boxed{distance = \sqrt{ {(y1 - y2)}^{2} + {(x1 - x2)}^{2} }}[/tex]

Distance between (5, 9) and (-7, -7)

[tex] = \sqrt{( - 7 - 9)^{2} + ( - 7 - 5)^{2} } [/tex]

[tex] = \sqrt{( - 16)^{2} + ( - 12)^{2} } [/tex]

[tex] = \sqrt{256 + 144} [/tex]

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

= 20 units

Which is the value of x in the equation?
4(x−3)=40

A. 13
B. 14
C. 15
D. 16

Answers

Answer:

x=13

Step-by-step explanation:

4(x-3)=40

x-3=40/4

x-3=10

x=10+3

x=13

HOPE THIS HELPS YOU

4(x-3)=40
distribute 4, so 4x - 12 = 40
+ 12 +12
4x/4= 52/4

x=13

Question #4. A $25 baseball hat is on sale for 25% off. What is the sale
price?

Answers

18.75 sale price hope this helped

the sale price is $18.75

please help me with these questions!!!!!!

Answers

Step-by-step explanation:

jdjdjcycyehvwjduuxjsjsjdudu

"Please help!" Find the range of the data in the box plot below.

Answers

Answer:

12

Step-by-step explanation:

the range is the difference between the highest and lowest data value

the lowest data value is zero and the highest is twelve

A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of
those seats. What is the probability that the next person will be assigned to an aisle
seat?

Answers

Answer:

2/5

Step-by-step explanation:

There is an 8/20 chance that the next person will receive a window seat. You simplify that probability to get your answer. 8/20 becomes 2/5. So the answer is 2/5.

Harry wants to download some songs to his mp3 player. He received a $20 giftcard for his birthday. It costs $0.90 to download a song. At most, how many songs can he download?

Answers

Step-by-step explanation:

vvvvvec7oecyoeciiiv7oric7oriivsbshshshshshshsJ

$20/$0.90=22.22
At most, Harry can download 22 songs.
22 • $0.90= $19.80

Use the long division method to find the result when 12x^3+17x^2+12x+4 is divided by 3x + 2.

Answers

Answer:

Step-by-step explanation:

not sur

e

Answer: 307 ÷ 24 = 209 ÷ 32 = 456

Step-by-step explanation:

Which of the following equations have only one solution? Select all correct answers.
x²-x-6=0
5 x2 + 20 x+ 20 = 0
9x2 - 25 = 0
4x2+4 x=0
12+ 6 x+9= 0​

Answers

Answer:

The equations which have only one solution is: 5x²+20x+20=0,

Step-by-step explanation:

Answer:

5x^2 + 20x + 20 = 0

12+ 6x +9= 0​

Step-by-step explanation:

5x^2 + 20x + 20 = 0  /5             12 + 6x + 9 = 0        

x^2 + 4x + 4 = 0                          6x = -9-12

(x+2)^2=0                                    6x = -21

x + 2 = 0                                      x = -21/6

x=-2                                             x = -3.5

A triangle has vertices on the coordinate grid at points D (3, -3), E (0,2), and F (-1,-3)

Answers

Answer:

4 units

Step-by-step explanation:

A triangle has vertices on the coordinate grid at points D (3, -3), E (0, 2), and F (-1, -3). What is the length, in units, of DF ?

A triangle is a polygon with three sides and three angles.

The distance between two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is given by:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given A triangle with vertices at points D (3, -3), E (0, 2), and F (-1, -3). The length of side DF is given as:

[tex]DF=\sqrt{(-1-3)^2+(-3-(-3))^2}=4\ units[/tex]

Pls help me with this text thing i need the answers :O PLS I NEED IT NOW HELP

Answers

Answer:

1. d.9

2.

3.

Step-by-step explanation:

that is the only one I know sorry

-5
for
f(x) =
- 4 < x < 1
1 - X – 5
for

Answers

Answer:

the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

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20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

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To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

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20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

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20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

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To answer this item, we let n be the number of hours that a person spend on th

Step-by-step explanation:

What is 8+29 and 1+4

Answers

Answer:

37 and 5

Step-by-step explanation:

8+29=37

1+4=5

Answer:

8+29 is 37. And 1+4 is 5. add them together and you get 42.

Step-by-step explanation:

Anyone who helps me answer I’ll brainliest them :D

Answers

Answer:

5x -11

Step-by-step explanation:

it says it there

Answer:

a=5 c=3

Step-by-step explanation:

Which of the following numbers are less than-0.625. The numbers are -8/5 -5/8 -0.5 choose all that apply

Answers

Answer:

-8/5 = -1.6

-5/8 = -0.625

-1/2 = --0.5

Step-by-step explanation:

The number that is less then -0.625 is -8/5 which is -1.6

I need help simplifying this equation.

Answers

Answer:

6abc

Step-by-step explanation:

In this equation, one is given both variables and constant. One can only combine like terms; variables of the same parameter with other variables of the same parameter, or constant with constants. In this situation, three different variables are given, but two constants are given. One can combine the constant, but one must leave the variables as they are. Thus:

3 * b * 2 * ac

= 3 * 2 * b * ac

= 6abc

Lin is planting a circular garden of tulips. She plans to plant four different colors in equal amounts. The garden will have a diameter of 24 feet.

Answers

Answer:

113 square feet

Step-by-step explanation:

Given

[tex]d = 24[/tex] --- diameter

See attachment for complete question

Required

Determine the area of each color

First, we calculate the area of all colors

[tex]Area = \frac{\pi d^2}{4}[/tex]

This gives:

[tex]Area = \frac{22 * 24^2}{7*4}[/tex]

[tex]Area = \frac{12672}{28}[/tex]

[tex]Area = 452.57[/tex]

Since all 4 colors have equal areas, the area of 1 of them is:

[tex]A = \frac{1}{4}Area[/tex]

[tex]A = \frac{1}{4} * 452.57[/tex]

[tex]A = 113.14ft^2[/tex]

[tex]A = 113ft^2[/tex] --- approximated

PLS HELP ME I WILL GOVE YOU BRAINLIEST!

Answers

Answer:

15.7 ft

Step-by-step explanation:

You need to find the circumference.

C= 2πr

r= 2.5

C= 2π2.5

C= 15.7 ft

Rita drew a scale drawing of a picnic area near the river. The picnic area, which is 135 yards long in real life, is 15 inches long in the drawing. What scale did Rita use for the drawing?

Answers

Answer: 1 inch = 9 yards

Step-by-step explanation:

From the question, we are informed that Rita drew a scale drawing of a picnic area near the river and that the picnic area, which is 135 yards long in real life, is 15 inches long in the drawing.

From the above, we can see that for every 1 inch, there are (135/15) = 9 yards. Therefore, the scale used Is:

1 inch = 9 yards

2. Any number that can result from
multiplying our given number by any other
number is a
B. multiple
D. product
A. factor
C. LCM

Answers

Multiple im pretty sure- Well, a multiple is any number obtained by multiplying other numbers together. Multiples are most commonly discussed in the context of integers.

Need help Pls answer if you know.....

Nancy wants to be a bird seed mix in her birdfeeder. The mix is 30% wild bird seed and 70% sunflower seeds. Her bird feeder can hold 12 cups of bird seed. How much wild bird seed does she need to fill the birdfeeder?

Answers

Answer:

3.6 cups of wild bird seed

Step-by-step explanation:

30% x 12 cups

12 * .3

= 3.6

9 4/5 - 1 2/3 please helpp

Answers

The answer is 8 2/15 yw :)

Answer:

[tex]8\frac{2}{15}[/tex]

Step-by-step explanation:

[tex]9\frac{4}{5} -1\frac{2}{3} \\\\\frac{49}{5} -\frac{5}{3} \\\\\frac{147}{15} -\frac{25}{15} \\\\\frac{122}{15} =8\frac{2}{15}[/tex]

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