Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 42%. If they have five children, what is the probability that at least two of their five children will have that trait? Round your answer to the nearest thousandth.
ANSWER IS 0.697

The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)

We have,

To express the polynomial f(x) = 2x³ + 4x² - 2x - 4 as a product of linear factors, we can use a technique called factorization by grouping.

First, let's group the first two terms and the last two terms together:

f(x) = (2x³ + 4x²) + (-2x - 4)

Factor out the greatest common factor from each group:

f(x) = 2x²(x + 2) - 2(x + 2)

Notice that we now have a common factor of (x + 2) in both terms.

We can factor it out:

f(x) = (x + 2)(2x² - 2)

Now we can factor the quadratic expression 2x^2 - 2 by factoring out the greatest common factor of 2:

f(x) = (x + 2)2(x² - 1)

Now we can factor the expression x² - 1 as the difference of squares:

f(x) = (x + 2)2(x - 1)(x + 1)

Therefore,

The polynomial f(x) = 2x³ + 4x² - 2x - 4 can be expressed as a product of linear factors as (x + 2)2(x - 1)(x + 1)

Learn more about polynomials here:

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Answer:

=425832

Step-by-step explanation:

i hope this helps :)

Answer:

425832

Step-by-step explanation:

I was trying as well gg

Answer:

Difference in the lengths of the polygons is (x + 7) units.

Step-by-step explanation:

Lengths of the given polygon = (7x + 2) units and (6x - 5) units

Therefore, difference in the given lengths = (7x + 2) - (6x - 5)

                                                                      = (7x - 6x) + (2 + 5)

                                                                      = x + 7

Therefore, difference in the lengths of the polygons is (x + 7) units.

Answer:

The answer is 240 m^3.

Step-by-step explanation:

here are the answers:

#1

#2=11

#3=-2

#4=70

Answer:

x= - 7/2

Step-by-step explanation:

Decimal Form: -3.5

Mixed Number Form: -3 1/2

Answer:

kylie is slow and so am i

Step-by-step explanation:

Answer:

10 days.

Step-by-step explanation:

If you just multiply 5 days x 2 it doubles 25 liters which is pretty simple, and doesn't need to much explanation. I hope that helps :)

Answer:

3.5,3 there you go buddy

Step-by-step explanation:

Answer: 17, 19, 21

Step-by-step explanation:

Three consecutive odd numbers: x, x+2, x+4 (since odd numbers occur every other number)

Just to show you that the numbers are x, x+2, and x+4, just say x is 13 then x+2 is 15 and x+4 is 17 (3 consecutive odd numbers)

Now the second equation:

3x = 2(x+4) + 9

three times smallest number (which is x) is equal to 2 times the largest number (x+4) plus 9

Now solve

3x = 2(x+4) +9

3x = 2x + 8 + 9

3x = 2x + 17

x = 17

x+2 = 19

x+3 = 21

Answer:

Charlie is 20.5 inches tall

Step-by-step explanation:

Henry: 24 inches

            3 and 1/2 inches taller than Charlie

Charlie: 24 - 3.5 inches

            20.5 inches

Answer:

9 inches

Step-by-step explanation:

henry = 3 inches more than 1/2 of charlie

24=henry

24/2= 12-3=9 inches hope this helps

Answer:

JM = 20

Step-by-step explanation:

Find the value of JM

Using similar triangles;

MJ/HN = GJ/HK

GJ+JM/HN = GJ/HK

15+JM/12+16 = 15/12

15+JM/28 = 15/12

Cross multiply

12(15+JM) = 15*28

180+12JM = 420

12JM = 420 - 180

12JM = 240

JM = 240/12

JM = 20

Hence the length of JM is 20

Answer:

x = 20, y = 70

Step-by-step explanation:

The angle adjacent to 40° is 180° - 40° = 140°

Since the triangle on the right has 2 congruent sides then it is isosceles and its base angles are congruent,  both x

2x + 140 = 180 ← sum of 3 angles in triangle

Subtract 140 from both sides

2x = 40 ( divide both sides by 2 )

x = 20

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

The angle inside the triangle on the left is 90° - 20° = 70° , then

y = 180 - (40 + 70) = 180 - 110 = 70

Answer:

v =-1/2 hope it may help u

Step-by-step explanation:

v =u+at

v=2 -5/2

v=4-5/2

v=-1/2/2

Answer:

Step-by-step explanation:

Given

u = 2 , a = - 5 t = 1/2

Now

v = u + at

  = 2 + (-5) * 1/2

 = ( 4 - 5) /2

 = - 1/2

Answer:

The mean is decreased by 1.25.

The mode  remains the same.

The median is decreased by 2 .

Step-by-step explanation:

Re arranging the data 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29.

Gives

14, 14,17,20,  21, 22, 25,25, 26,  27, 29,30,  

Now the mean = 14, +14,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29,+30/12

Mean= 270/12=22.5

The Mode ( the repeated value) = 14,25

Median ( the average of middle value) =  22+25/2= 23.5

When 30 is replaced is by 15

Now the mean = 14, +14, +15,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29/12

The  Mean becomes = 255/12=21.25

The Mode ( the repeated value) = 14,25

Median ( the average of the middle value) =  21+22/2= 21.5

The difference between the 2 means  is = 22.5- 21.25= 1.25

The mode  remains the same.

The median is decreased by 2 .

The mean is decreased by 1.25 which is more than 50 % of the value obtained between the ratio of the omitted and added value (30/15=) i.e. 2

Answer:

x=13/5 or x=2.6

Step-by-step explanation:

Answer:

213 Answer ..............

Answer:

√{213×213}=√213²=±213 is your answer

Answer:

[tex]\boxed{\textsf{ The possible values of y is \textbf{ 3 or -3 }.}}[/tex]

Step-by-step explanation:

Here Point A and B are 5 units apart . The coordinates of A are (-1,2) and B is (-1,y) .We need to find the possible coordinates of y . So let's use Distance Formula :-

[tex]\rule{200}2[/tex]

★ Distance Formula :-

If we need to find the distance between two points say , [tex]\sf ( x_1,y_1 ) \:\:\:\: \& \:\:\:\: ( x_2,y_2) [/tex] , then we can find out the distance as ,

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

[tex]\rule{200}2[/tex]

Put on the respective values ,

[tex]\sf\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } \\\\\sf\implies Distance = \sqrt{ (-1+1)^2+(2-y)^2}\\\\\sf\implies Distance =\sqrt{ (2-y)^2 } \\\\\sf\implies 5^2 = (2-y)^2 \\\\\sf\implies 5 = \pm (2-y) \\\\\sf\implies 5 = (2-y) \qquad or \qquad 5= -(2-y)\\\\\sf\implies y = 2-5 \qquad or \qquad y = 5-2 \\\\\sf\implies\boxed{\pink{\frak{ y = \pm 3 }}}[/tex]

Answer:

36

Step-by-step explanation:

You do 120 multiplied by .3 to get 36. This makes the discount amount is $36 which also means you only pay $84 for the coat.

Answer:

I believethe answers are (x-1)(x+3)

Step-by-step explanation:

x^2 + 2x - 3 can be simplified to

(x+3)(x-1)

The factors of this expression are therefore (x+3) and (x-1)

The binomial of each dimension is:

x+3

x-1

Answer:

the correct anwser is b b cause they both are positive y intercepts

Answer:

48

Because 12x4 is 48 and 48/4=12

Answer:

63

Step-by-step explanation:

9 * 7 = 63

Answer:

sjobciducbqpfhivñqrjivbñkqjvbñqjirv

Answer:

39/3 + 10 = 23

Step-by-step explanation:

I did the math and then reviewed it to make sure it was correct with Chegg

Answer:

Let's solve for x.

3x+y=−6

Step 1: Add -y to both sides.

3x + y + −y = −6 + −y

3x = − y − 6

Step 2: Divide both sides by 3.

3x  / 3  =  − y −6 /  3

x =  − 1  / 3 y −2

Answer:

x = − 1  / 3 y −2

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

x = 2 + y/3

Step-by-step explanation:

Add

y

to both sides of the equation.

3 x = 6 + y

Divide each term by

3

and simplify.

Answer: D

Step-by-step explanation:

Answer:

30 minutes

Step-by-step explanation:

The hare and tortoise meet in 30 minutes at 240 feet.

Answer:

30minutes

Step-by-step explanation:

Tortoise = Hare

2m + 180 = 8m

collect like terms

180 = 8m - 2m

180 = 6m

divide both sides by 6

m = 180/6

m = 30

It will take 30 minutes for the tortoise and hare to meet.