Please help & thank you.

Answer: E(X) = 30; Var[X] = 180

Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:

[tex]E(X)=\frac{r}{p}[/tex]

r is number of times it is repeated

p is probability it happens

Solving:

[tex]E(X)=\frac{5}{1/6}[/tex]

E(X) = 30

Variance is given by:

[tex]Var[X]=\frac{r(1-p)}{p^{2}}[/tex]

[tex]Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}[/tex]

[tex]Var[X]=5.\frac{5}{6}.6^{2}[/tex]

Var[X] = 180

Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.

Answer:

91°

Step-by-step explanation:

180° in a triangle; so

31+58=89

180-89=91

BC=91°

Answer: the answers are:6/16=9/x: 9/6=x/16: and 9/x=6/16

Step-by-step explanation:

Answer: You should plant another 25 watermelons.

Step-by-step explanation:

The total number of watermelons can be calculated as:

W = (20 + x)*(30 - x)

x is the number of plants that we add, for each plant that we add, the output per watermelon plants drops by one watermelon, then if we add x plants, each plant will give (30 - x) watermelons.

We want to maximize this equation, so let's distribute the product.

W = 600 + 30*x + 20*x - x^2

W = 600 + 50*x - x^2

Notice that this is a quadratic equation with a negative leading coefficient, this means that the maximum is at the vertex, and the arms of the equation will open down.

To find the maximum, we can just derive with respect to x, and find the value of x that makes that equal to zero, this is:

W'(x) = dW/dx = 50  - 2*x

W'(x) = 0 = 50 - 2*x

           2*x = 50

          x = 50/2 = 25.

Then the maximum output will be if you plant 25 more watermelon plants.

And this will be:

W(25) = 600 + 50*25 - 25^2 = 1,225 watermelons

You should plant 5 extra watermelon plants to maximize production.

Since you have a garden row of 20 watermelon plants that produce an average of 30 watermelons a piece, and for any additional watermelon plants planted, the output per watermelon plant drops by one watermelon, to determine how many extra watermelon plants should you plant you must perform the following calculation:

Therefore, you should plant 5 extra watermelon plants to maximize production.

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Answer:

4/15, 4:15, 4 to 15

Step-by-step explanation:

Let W be the walks and H the hits, then,

WAY1:

[tex]\frac{W}{H} =\frac{4}{15}[/tex]

WAY2:

W:H⇒4:15

WAY3

W to H ⇒4 to 15

Answer:

Decrease PrePaid Rent 13,600 / Increase Rent Expense 13,600

Step-by-step explanation:

Given that:

The total amount paid = $20400  to Acme Realty for 12  months;

Thus, for each month rent; we get = $20400/12 = $1700

Now, the moth expired from May 1 to Dec 31 = 8 months

The rent expense for the year will be: monthly rent × number of months

= 1700 × 8

= $13,600

Thus, the balance sheet's adjusting entry will be to record 13,600 as the expense and decrease the total 20400 rent paid with 13600 and book it as prepaid rent as of December end.

Answer:

Step-by-step explanation

Given

a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.

Solution

So

the snails rate =11/8÷11/2

= 1/4Minutes per Meters

So the answer is 1/4 minute per meter

It is the quantity of an amount of something at a rate of one of another quantity.

If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.

The snail's rate in minutes per meter is 4/3 minutes.

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

3 miles in 60 minutes.

1 mile in 20 minutes.

We have,

Snail travels:

[tex]1\frac{1}{8}[/tex] meters = [tex]1\frac{1}{2}[/tex] minutes

9/8 meters = 3/2 minutes

Multiplying 8/9 on both sides.

1 meters = 8/9 x 3/2 minutes

1 meter = 4/3 minutes

This means that the snail's rate in minutes per meter is 4/3 minutes.

Thus,

If a snail moves through a garden and travels 1 1/8 meters in 1 1/2 Minutes.

The snail's rate in minutes per meter is 4/3 minutes.

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Answer:

B I the answer I just did the same question

Anjelica is using synthetic division to divide

[tex]\:\frac{\left(2x^3-9x^2-21x+10\right)}{x+2}[/tex]

Steps given in option B are correct

Given :

Divide the given expression

[tex]\:\frac{\left(2x^3-9x^2-21x+10\right)}{x+2}[/tex]

Apply synthetic division

In synthetic division , we write all the coefficient inside the division

then solve the denominator for x  and write it outside

[tex]x+2=0\\x=-2[/tex]

so we write -2 outside the division sign

Take down first number 2 as it is . Then multiply with -2  and put it below the second number . Add it and write it down . Continue the process.

-2              2       -9      -21    10

                 0        -4      26    -10              

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

                  2       -13      5      0

the steps given in option B  are correct

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Answer:

that you would you would you could do

Answer:

7/2(12+h)

Step-by-step explanation:

The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.

Here, we have,

given that,

the expression 42+3.5h

we have to find the factored form.

From the given information:

The expression 42 + 3.5h is factored out by taking the coefficient of the variable term is 3.5

So factoring 3.5 from the expression  42 + 3.5h, we get:

= 3.5 ( 12 + h)

= 7/2 ( 12 + h)

Hence, The solution is : 3.5 ( 12 + h) , is the answer to the question expression 42+3.5h factored.

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Answer:

Do Y divided by X.

Step-by-step explanation:

This is normally what I do so hope I helped.

Answer:

32

Step-by-step explanation:

please make me brainlist

Answer:

9x-3

Step-by-step explanation:

2x2=4

4+4x-3

4x-1

5x-2

Add them together

4x-1+5x-2= 9x-3

Answer:

a. yes it is a binomial experiment

b. success is that baby recovers

c. n = 6

d. p = 0.5

e. q = 0.5

f. X: 0,1,2,3,4,5,6

Step-by-step explanation:

a.

the answer is yes this is a binomial experiment. This is true because we have a finite number of babies and these babies are independent of each other. there are two possible outcomes. 1. baby recovers 2. baby does not recover.

b.

success: baby recovers

c.

n = number of babies born with ailment. n = 6

d.

p = 50% = 0.5

e.

q = 1-p = 1-0.5

q = 0.5

f.

possible values of X: 0,1,2,3,4,5,6

Answer:

8x - 6

Step-by-step explanation:

5x - 2 - (-3x + 4)

1) Distribute

5x - 2 + 3x -4

2) Combine like terms

8x - 6

Answer:

 D: -8x+6

Step-by-step explanation:

(-3x+4)-(5x-2) This is the set up

(-3x-5x)+(4--2) Combine like terms

-8x+6 Simplify

Answer:

i dont know maybe you should search google. best of Luck

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Let X = Rob's weekly allowance

If he spent 1/2 of it on candy, then he had 1/2 of it left (1/2)X

After he earned $6 for cleaning the oven, he had $9.

So,

(1/2)X + 6 = 9

(1/2)X = 3

X = 6

Answer:

83.100559

Step-by-step explanation:

0.179x=14.857

x=14.857/0.179

x=83.100559

Answer:

what's your question I can't understand

Answer:

what's the question

Step-by-step explanation:

please write complete question

Answer:

4 1/2 divided by 1/8 = 16

Step-by-step explanation:

Look at the attachment below: Hope it helps!

The solution of expression divided [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex] is, 36

Given that,

Divide [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex].

Now, The expression divide [tex]4\dfrac{1}{2}[/tex] by the unit fractions [tex]\dfrac{1}{8}[/tex] is written as,

⇒ [tex]4\dfrac{1}{2} \div \dfrac{1}{8}[/tex]

Change the divide symbol into multiplication,

⇒ [tex]4\dfrac{1}{2} \times 8[/tex]

Change the fraction into an improper fraction,

⇒ [tex]\dfrac{9}{2} \times 8[/tex]

⇒ [tex]\dfrac{72}{2}[/tex]

⇒ 36

Therefore, the solution of expression is, 36

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Answer:

12.9

Step-by-step explanation:

tan⁡θ=opp/adj

tan 24° = x/29

x = 29 tan 24°

x = 12.9

Answer:

y = 3x + 2

Step-by-step explanation:

y=mx+b is slope intercept form

to find slope (m):

y2-y1/x2-x1 = 11-8/3-2 = 3

your slope is 3 so 3x

to find the y-intercept (b):

plug in y and x from either of the two points

(2,8)... 8=3(2)+b and solve for b which equals 2

so final equation is y=3x+2

Answer:

f(x) = 7x-10

Step-by-step explanation:

Complete question;

Write and algebraic expression for 10 less than the product of seven and a number.

Let the number be x;

The product of seven and the number is expressed as;

= 7 * x

= 7x

If 10 is less than the product of seven and a number then the expression becomes

7x - 10

The required algebraic expression is f(x) = 7x-10

Answer:  inequality form x < 3    interval form: ( -∞, 3)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

yes

Step-by-step explanation:

12p<=56

12*3<=56

36<=56

Correct.

Hope this helps :D

Answer:

o.29 answer of this question

Answer:

0.29

Step-by-step explanation:

0 . 8 9

-0 . 6 0

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

0 . 2 9

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

Hope this helps

plz mark as brainliest!!!!!!!!

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

[tex]\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]

Where  

[tex]a[/tex] is the side opposite to [tex]\angle A[/tex]

[tex]b[/tex] is the side opposite to [tex]\angle B[/tex]

[tex]c[/tex] is the side opposite to [tex]\angle C[/tex]

[tex]\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08[/tex]

[tex]\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22[/tex]

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = 32.3

Area of a triangle is given as:

[tex]\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)[/tex]

[tex]\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}[/tex]

Answer:

The answer is yes, since the graph is an equal line throughout.

Step-by-step explanation: