Geometry// question #8

a. The probability that you win on none of your 5 plays is approximately 0.6634. b. The probability that you win 3 or more of your 5 plays of this game is approximately 0.004497.

To solve these problems, we'll use the binomial probability formula.

a. The probability of winning in any one play is 0.08, so the probability of losing in any one play is 1 - 0.08 = 0.92.

The probability of winning on none of your 5 plays can be calculated as the probability of losing on each play, which is 0.92, raised to the power of the number of plays.

P(losing all 5 plays) = (0.92)^5 = 0.6634 (rounded to four decimal places)

Therefore, the probability that you win on none of your 5 plays is approximately 0.6634.

b. To find the probability of winning 3 or more of your 5 plays, we need to calculate the probability of winning 3, 4, or 5 plays and sum them up.

P(winning 3 or more plays) = P(winning 3 plays) + P(winning 4 plays) + P(winning all 5 plays)

P(winning 3 plays) = C(5, 3) *[tex](0.08)^3 * (0.92)^2[/tex]

                  = 10 * 0.000512 * 0.8464

                  ≈ 0.00434 (rounded to five decimal places)

P(winning 4 plays) = [tex]C(5, 4) * (0.08)^4 * (0.92)^1[/tex]

                  = 5 * 0.000032768 * 0.92

                  ≈ 0.000151 (rounded to six decimal places)

P(winning all 5 plays) = [tex](0.08)^5[/tex]

                     ≈ 0.000006 (rounded to six decimal places)

Now we can sum up these probabilities:

P(winning 3 or more plays) ≈ 0.00434 + 0.000151 + 0.000006

                          ≈ 0.004497 (rounded to six decimal places)

Therefore, the probability that you win 3 or more of your 5 plays of this game is approximately 0.004497.

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Answer: $24.38

Step-by-step explanation:

So since the cost of a movie ticket is $20 and the cost is predicted to increase by 2% each year over the next 10 years. to find the cost after 10 years you want to solve for x.

so x=20(1.02)^10

20 is the initial cost and 0.02 is the rate of growth. expressed as a decimal number, the base is b=1+0.02=1.02 and the exponent 10 is the number of years

Answer:

No solution.

Step-by-step explanation:

Step 1: Write equation

-3(-x + 4) = 5 + 3(x + 1)

Step 2: Solve for x

Here, we see that x has to equal no solution. No value of x would make the equation true.

Answer:

no solutions

Step-by-step explanation:

distribute the parenthesis

3x - 12 = 5 + 3x + 3

move all variables to one side of the equation and the constants to the other

3x - 3x = 5 + 3 + 12

0 = 20

there are no solutions

Answer: X=18

Step by Step:

2−10+x=6−8+12

Step 1: Simplify both sides of the equation.

2−10+x=6−8+12

2+−10+x=6+−8+12

(x)+(2+−10)=(6+−8+12)(Combine Like Terms)

x+−8=10

x−8=10

Step 2: Add 8 to both sides.

x−8+8=10+8

x=18

Answer:

[tex]x = 18[/tex]

Step-by-step explanation:

[tex]2 - 10 + x = 6 - 8 + 12 \\ - 8 + x = - 2 + 12 \\ - 8 + x = 10 \\ x = 10 + 8 \\ x = 18[/tex]

Answer:

513

Step-by-step explanation:

Answer:

513

Step-by-step explanation:

The single payment required 90 days from now to pay off the two obligations, including interest, is approximately $2230.41.

To calculate the single payment required to pay off the two obligations, we need to consider the interest accrued over the specified time period.

Let's break down the problem into two parts:

1. Loan payment of $1000 due 60 days ago:

This payment has already accrued interest for 60 days. To calculate the total amount owed, we need to calculate the interest accrued. The formula to calculate simple interest is:

Interest = Principal * Rate * Time

Here, the principal amount is $1000, the interest rate is 12% (0.12 as a decimal), and the time is 60/365 years (since we're assuming a 365-day year). Using these values, we can calculate the interest accrued as:

Interest1 = $1000 * 0.12 * (60/365)

2. Loan payment of $1200 due in 30 days:

This payment will accrue interest for the remaining 30 days until the agreed focal date, which is 90 days from now. Using the same formula, we can calculate the interest accrued as:

Interest2 = $1200 * 0.12 * (30/365)

To find the total amount required to pay off the two obligations, we sum the principal amounts and the accrued interest:

Total payment = $1000 + Interest1 + $1200 + Interest2

Now, let's calculate the values:

Interest1 = $1000 * 0.12 * (60/365) = $19.18 (approx.)

Interest2 = $1200 * 0.12 * (30/365) = $11.23 (approx.)

Total payment = $1000 + $19.18 + $1200 + $11.23 = $2230.41 (approx.)

Therefore, the single payment required 90 days from now to pay off the two obligations, including interest, is approximately $2230.41.

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Answer: you have to do 210 divided by 60

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

the 2 one is a linear and the rest are non

Answer:

congruent/alternate interior angles

Step-by-step explanation: congruent means theyre equal and interior means theyre both on the inside

Answer:

Width is 10

Length is 18

Step-by-step explanation:

Perimeter is calculated as 2(w+l) or w+w+l+l. When you put those two numbers into the equation 2(10+18) or 10+10+18+18, you get the exact same answer of 56, and since 10 is eight less than 18, it would be the width.

Answer:

Step-by-step explanation:

perimeter P = 2L + 2W

where

Perimeter P = 56 m

Width W = L - 8 m

find:

length L

width W

solution:

just plugin the values into the formula:

P = 2L + 2W

56 = 2L + 2(L - 8)

56 = 2L + 2L - 16

56 + 16 = 4L

L = 72/4

L = 18 m

solve for W:

substitute L=18 back into the equation W=L-8

W = 18 - 8

W = 10 m

therefore:

length L = 18 m

Width W = 10 m

proof:

56 = 2(18) + 2(10)

56 = 36 + 20

56 = 56 ----- OK

Answer:

4

Step-by-step explanation:

1, 4, 16,64,

1*4=4

4*4=16

16*4=64

The common ratio is what we are multiplying by

We are multiplying by 4 so the common ratio is 4

Answer: x

Step-by-step explanation:

The inverse undos any changes to x, reversing those changes will leave x. Ex: f(x)=x+2. The inverse (from replacing x with y and y with x and solving for y) is h(x)=x-2. Plugging x+2 into h(x) (composition of functions) results in x. 2 and -2 cancel out.

Answer:

C

Step-by-step explanation:

on edge

Answer:

A. 6 B. 4 C. 6

Step-by-step explanation:

I never learned about the diagram My 6th grade standards must have been different than yours.sorry

Answer:

3h² - 11h - 3

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Write expression

-7h + 3h² - 4h - 3

Step 2: Simplify

[tex]\blue{\bold{\underline{\underline{Answer:}}}}[/tex]

[tex]\tt{\green{Simplified\:\:form = 3h^2 - 11h - 3}}[/tex]

[tex]\orange{\underline{\underline{\bold{Step\:-\:by\:-\:Step\: Explanation:}}}}[/tex]

[tex]\sf -7h + 3h^2 - 4h - 3[/tex]

Combining all like terms,

[tex] \longrightarrow \sf 3h^2 - 7h - 4h - 3[/tex]

[tex]\leadsto \underline{\boxed{\sf{\pink{ 3h^2 - 11h - 3}}}}[/tex]

Answer:

c

Step-by-step explanation:

the area add that to the number of hours

Answer:

128 miles

Step-by-step explanation:

320/5=x/2   640=5x    x=128

Answer:

Step-by-step explanation:

If that is to the 0, well anything to the 0 is 1.

Answer:

= 8

Step-by-step explanation:

Answer:

g(2) = 68

Step-by-step explanation:

Step 1: Define

g(x) = 32x + 4

g(2) = x = 2

Step 2: Substitute and Evaluate

g(2) = 32(2) = 4

g(2) = 64 + 4

g(2) = 68

Answer:

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} ) \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(2,-5); B(6,1)

So we have

[tex]M = ( \frac{2 + 6}{2} \: , \: \frac{ - 5 + 1}{2} ) \\ = ( \frac{8}{2} \: , \: - \frac{4}{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

p=(q-3r)/2

Step-by-step explanation:

2p+3r=q

isolate 2p

2p=q-3r

divide by 2 both slides

Answer: p=(q-3r)/2

Answer:

Ans. C. Square feet is the explanatory variable and rent price is the response variable. Square feet should be placed on the horizontal axis of the scatterplot and rent price on the vertical axis.

Step-by-step explanation:

did the test

Answer:

true

Step-by-step explanation:

9.99 is the same as 9.990 because the numbers in the decimal place are the same

Answer:

30/7

Step-by-step explanation:

Answer: for question A 17.5

Step-by-step explanation: in q.a. Beggin with division first then add and subtract normally

Answer:

a = 101

b = 83

c = 97

d = 79

Answer:

z = -300

Step-by-step explanation:

-21=0.07z

-21/0.07= 0.07z/0.07

-300= z

If this helps please mark brainliest.

Answer:

41

Step-by-step explanation:

someone asked this same question so if you need a better explanation copy and paste your question ito the box but here is how I got that

d=w2+l2=92+402=41

Answer:

$42.00 per hour of labor

Step-by-step explanation:

$316.55-$148.55=$168.00

$168.00÷4 hours of labor=$42 an hour