Solve the equation.
7 t − 3 = − 59
t=_____

Using the binomial distribution, it is found that there is a 0.011 = 1.1% probability that exactly one of their four children will have that trait.

For each children, there are only two possible outcomes, either they have the trait, or they do not. The probability of a children having the trait is independent of any other children, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X=x)=C_{n,x.}p^x.(1-p)^{n-x}[/tex]

[tex]C_{n,x}=\frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability is P(X = 1), hence:

[tex]P(X=x)=C_{n,x.}p^x.(1-p)^{n-x}[/tex]

[tex]P(X=1)=C_{4,1*}(0.85)^1.(0.15)^3=0.011[/tex]

0.011 = 1.1% probability that exactly one of their four children will have that trait.

A similar problem is given at https://brainly.com/question/24863377

Answer:

(x+6)^2+(y-5)^2 = 3.1622^2

Step-by-step explanation:

The equation for a circle can be represented by (x+_)^2+(y+_)^2 = r^2

So, we already can find this portion of the equation knowing the center of the circle:

(x+6)^2+(y-5)^2= r^2

Next, we find the distance between the two given points to find the radius.

6-5 = 1

-3--6 = 3

1^2+3^2 = c^2

1+9= c^2

10=c^2

3.1622...

So, now we know the full equation.

(x+6)^2+(y-5)^2 = 3.1622^2

Answer:

5

Step-by-step explanation:

So we have the set of numbers: 3,4,4,5,5,2,5,4,6,3,6,5,3.

Mode just means the most repeated number so let's sort them into groups.

(2) (3,3,3) (4,4,4) (5,5,5,5) (6,6).

the most repeated number is 5 which we see in the sequence about 4 times.

Answer:

1001

Step-by-step explanation:

Answer:

1) 287.97; 2) 75.396 [in³].

Step-by-step explanation:

1) the rule:

V=1/3 *πhr²;

2) according to the formula above:

V₁=1/3 *3.1415*11*5²=287.97 [in³];

V₂=1/3 *3.1415*8*3²=75.396 [in³].

Answer:

y = 2x

3

Step-by-step explanation:

From the graph, y=4 when x= 6

And

y= -4 when x= -6

So, we can deduce the relationship between x and y.

Answer:

x> 2

Step-by-step explanation:

Multiply by 6

2x6=12

5x+2>12

Move the 2 and make it subtraction

5x>12-2

Subtract 12-2=10

5x>10 divide by 5

X>2

Step-by-step explanation:

solution is attached

Answer:

Last 3 digits 712 is divisible by 8 so 36712 is divisible by 8

Step-by-step explanation:

Answer:

the equation is 40/1 = 110/x hours

Step-by-step explanation:

It would take (2 hours and 45 min) for the train to travel this far

Answer:

A=bxh

171 cm=18cmxh

h=171/18

= 9.5 cm

which is B no.

Answer:

x^2 + x -20

Step-by-step explanation:

First, Multiply

(x)(x) + (x)(5) + (-4)(5) + (-4)(x)

Second, Add The Like Terms Together

X^2 + x + -20

Answer: Its  x^2 + 9x -20

Step-by-step explanation:

I did the test and got it wrong

Answer:

5,000 is the correct answer

Answer:

$170

Step-by-step explanation:

since he wants to put it around the top and not fill it, it will be a perimeter problem. 5+12+5+12 is 34, and 34 x $5 is 170.

Answer:   [tex]\frac{5}{6}[/tex] of a yard

=========================================================

Explanation:

The longest is [tex]\frac{6}{6}[/tex] yard and the shortest is [tex]\frac{1}{6}[/tex] of a yard.

This is because 6 is the largest numerator and 1 is the smallest numerator.

Subtract the two fractions:

[tex]\frac{6}{6} - \frac{1}{6} = \frac{6-1}{6} = \frac{5}{6}[/tex]

We subtract the numerators while the denominator stays the same at 6 the entire time.

This is the difference between the longest and shortest ribbon, and the unit is in yards.

Answer: u<6

Step-by-step explanation:

Isolate u by dividing both sides of the inequality by 7

[tex]\frac{7u}{7} < \frac{42}{7} \\u < 6[/tex]

u<6

Hope it helps.

Do comment if you have any query.

Answer:

It's equal to itself. Here are the two ways to do this problem. ↓

Answer:

8.3y

Step-by-step explanation:

-2.2y - 3.4y -1(-5.7y) + 8.2y

Apply rule -(-a) = a:

⇒ -2.2y - 3.4y + 5.7y + 8.2y

Factor out common term y:

⇒ y(-2.2 - 3.4 + 5.7 + 8.2)

Carry out operations in the parentheses:

⇒ y(8.3)

Write in standard form:

⇒ 8.3y

Answer:yes

Step-by-step explanation:

Answer:

D. but there should be an 8.33

Step-by-step explanation:

The answer should be 8.33 but in here it only says 7 which is the closest because the unit rate would be 8.33 miles an hour.

Answer:

[tex]y = \frac{x}{4} [/tex]

Step-by-step explanation:

we find the slope which also represented as m by the formula

[tex] m = \frac{(y2 - y1)}{(x2 - x1)} [/tex]

where from point (-4, -2) the x1 is -4 and the y1 is -2 and also from point (6, 3) the x2 is 6 and the y2 is 3.

so we substitute

[tex] \frac{(3 - ( - 2))}{(6 - ( - 4))} = \frac{(3 + 2)}{(6 + 4)} = \frac{5}{10} = \frac{1}{2} [/tex]

[tex]m = \frac{1}{2} [/tex]

after we have the slope, we calculate the equation of the line by using the formula

[tex](y - y1) = m(x - x1)[/tex]

but for now, we only have y1, m and x1 so can substitute

[tex](y - ( - 2)) = \frac{1}{2} (x - ( - 4))[/tex]

we have to get rid of the fraction 1/2 so we multiply it through by the denominator 2

[tex]2(y + 2) = 2 \times \frac{1}{2}(x + 4) [/tex]

we get

[tex]2(y + 2) = 1 \times (x + 4)[/tex]

so now we expand the brackets

[tex]2y + 4 = x + 4[/tex]

we make y stand alone by grouping liked terms.

[tex]2y = x + 4 - 4[/tex]

we get

[tex]y = \frac{x}{4} [/tex]

The difference between Roth IRA and a traditional IRA is that Contributions are taxed differently. That is option D.

An Individual Retirement Account (IRA) is an account that has tax advantages which is used for financial saving for a long term.

In Roth IRA, taxes are being paid while the individual is still working.

In traditional IR, taxes are being paid after retirement.

Therefore, the difference between Roth IRA and a traditional IRA is that Contributions are taxed differently.

Learn more about tax here:

https://brainly.com/question/25783927

The main difference between a Roth IRA and a traditional IRA is that D. Contributions are taxed differently.

It should be noted that IRA simply means an individual retirement account. They're usually not taxed until retirement.

In this case, the main difference between a Roth IRA and a traditional IRA is that the contributions are taxed differently.

Therefore, the correct option is D.

Learn more about IRA on:

https://brainly.com/question/27445373

Answer:

9 5/6

Step-by-step explanation:

6 1/2 + 3 1/3

= (6 + 3) + (1/2 + 1/3)

= 9 + 1 * 3/ 2 * 3 + 1 * 2/ 3*2

= 9 + 3/6 + 2/6

= 9 + 3+2/6

= 9 + 5/6

= 9 5/6

Hey there!

6 1/12 + 3 1/3

= 73/12 + 10/3

= 73/12 + 40/12

= 73 + 40 / 12 + 0

= 113 / 12

= 9 5/12

Therefore, your answer is:

• 113/12

OR
• 9 5/12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

-8√(6n).

Step-by-step explanation:

-√(8n) * 2√12

= -√4*√(2n) * 2√4√3

= -2√(2n)*4√3

= -8√(6n)

Explanation:

To start off, we'll need the volume of the fish tank.

Volume of a rectangular block = (length)*(width)*(height)

V = L*W*H

V = 48*30*30

V = 43,200

The volume of the tank is 43,200 cubic cm.

Divide this over the flow rate of 7200 cubic cm per minute to get

(43,200)/(7200) = 6

It will take Emily 6 minutes to completely fill the tank.

Answer: 1 3/12

Step-by-step explanation: You can multiple straight accross and

5 is equivelant to 5/1 so we would do

5/1 * 3/12 = 15/12 which can get simplified into 1 3/12

Hopt this helps :D

Answer: 5.13 square cm

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

23 plus 64 plus 32

I think I just did this question