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3 years ago

14

Jake paid $28.00 for admission to the county fair and bought 12 tickets to play games. If he spent a total of $64, what is the c

ost, x, of one ticket? Write and Solve an Equation.

1 answer:

Karolina [17]3 years ago

4 0

Answer:

64 - 28 = 36

36 divided by 12 = 3

one ticket is 3 $

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Suppose that 10% of all homeowners in an earthquake-prone area of California are insured against earthquake damage. Four homeown

guapka [62]

Remainder of question:

Find the probability distribution of x

Answer:

The random variable x is defined as: X = {0, 1, 2, 3, 4}

The probability distribution of X:

P(X = 0) = 0.656

P(X = 1) = 0.2916

P(X= 2) = 0.0486

P(X=3) = 0.0036

P(X = 4) = 0.0001

Step-by-step explanation:

Sample size, n = 4

Random variable, X = {0, 1, 2, 3, 4}

10% (0.1) of the homeowners are insured against earthquake, p = 0.1

Proportion of homeowners who are not insured against earthquake, q = 1 - 0.1

q = 0.9

Probability distribution of x,

$P(X = r) = ^nC_r *p^r q^{n-r} \\\\P(X= 0) =(^4C_0 *p^1 q^4 )\\P(X=0) = (^4C_0 *0.1^0 0.9^4 ) = 0.656\\P(X= 1)= (^4C_1 *p^1 q^3 )\\P(X=1) = (^4C_1 *0.1^1 0.9^3 ) = 0.2916\\P(X= 2)=( ^4C_2 *p^2 q^2) \\P(X=2) = (^4C_2 *0.1^2 0.9^2 ) = 0.0486\\P(X= 3) = (^4C_3 *p^3 q^3) \\ P(X=3) = (^4C_3 *0.1^3 0.9^1 ) = 0.0036\\P(X= 4) = (^4C_4 *p^4 q^0 )\\ P(X=4) =(^4C_4 *0.1^4 0.9^0 ) = 0.0001$

5 0

3 years ago

The point A(–1, 4) is translated five units right and three units down. Which rule describes the translation?

lozanna [386]

Answer: SECOND OPTION.

Step-by-step explanation:

Given the following point identified as "A":

$A(-1,4)$

You can identify that the x-coordinate of the point is:

$x=-1$

And its y-coordinate is:

$y=4$

According to the exercise, this point is translated five units right and three units down. This means that, in order to find the new coordinates, you need to add 5 to the original x-coordinate and subtract 3 from the original y-coordinate.

Therefore, you can conclude that the rule that best describe the translation of the point $A(-1,4)$ is the following:

$(x,y)$ → $(x+5,y-3)$

Then, the point translated is:

$A'(-1+5,\ 4-3)$ → $A'(4,1)$

6 0

3 years ago

Read 2 more answers

Twice the difference between a number

Alecsey [184]

Answer:

Let x = the number

2(x-5) = 9

2x - 10 = 9

2x = 19

x = 9.5

Step-by-step explanation:

7 0

3 years ago

Consider the limaçon with equation r = 3 4cos(θ). how does the quotient of a and b relate to the existence of an inner loop?

Delicious77 [7]

If the equation is r = 3 +4cos(θ) then because b/a>1 the curve is a limacon with an inner loop.

Given limacon with equation r=3+4cos(θ) and we have to answer how the quotient of a and b relate to the existence of an inner loop.

Equation is like a relationship between two or more variables expressed in equal to form and it is solved to find the value of variables.

formula of polar graph is similar to r= a+ b cos (θ).

Case 1. If a<b or b/a>1

then the curve is a limacon with inner loop.

Case 2. If a>b or b/a<1

Then the limacon does not have an inner loop.

Here given that $r=3+4cos$ (θ)

It is observed that , a<b or b/a>1

Therefore the curve is limacon with an inner loop.

Hence because b/a>1 the curve is a limacon with an inner loop.

Learn more about limacon at brainly.com/question/14322218

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2 years ago

Solve for the unknown number in the equation ________ − 17 = 38 − 25.

antiseptic1488 [7]

Answer:

I believe the answer is 30.

Step-by-step explanation:

7 0

2 years ago

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