A marketing survey indicates that 60% of the population owns an automobile, 30% owns a house, and 20% owns both an automobile and a house. Calculate the probability that a person chosen at random owns an automobile or a house, but not both.

Answers

Answer 1

Given,

P(owning an automobile) = 0.6

P(owning a house) = 0.3

P(owning both an automobile and a house) = 0.2

We need to find the probability of owning an automobile or a house, but not both.

The probability of owning only an automobile can be calculated as:

P(owning only an automobile) = P(owning an automobile) - P(owning both an automobile and a house)

= 0.6 - 0.2

= 0.4

Similarly, the probability of owning only a house can be calculated as:

P(owning only a house) = P(owning a house) - P(owning both an automobile and a house)

= 0.3 - 0.2

= 0.1

Now, we can use the addition rule of probability to calculate the probability of owning an automobile or a house, but not both:

P(owning an automobile or a house, but not both) = P(owning only an automobile) + P(owning only a house)

= 0.4 + 0.1

= 0.5

Therefore, the probability that a person chosen at random owns an automobile or a house, but not both, is 0.5 or 50%.

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Related Questions

I need some help on 9 and 10

I need some help on 9 and 10

Answers

Answer:

question 9

92/11 or 8.36

Step-by-step explanation:

angle on straight line is 180

:. 10x+1 + 12x-5 = 180

collect like terms

10x+12x = 180+5-1

22x = 184

divide both sides by the coefficient of x

22x/22 = 180/22

:. x = 180/22(to d lowest form= 92/11)

or 8.36

Evaluate
15/r when r=5

Answers

Answer:

3

Step-by-step explanation:

\(\frac{15}{r} =\frac{15}{5}=3\)

Differentiate.
4/1-6x4
y=

Answers

To differentiate the function y = 4/(1-6x^4), we can use the quotient rule. The quotient rule states that if we have a function in the form y = f(x)/g(x), where f(x) and g(x) are differentiable functions, then the derivative of y with respect to x is given by (g(x)f'(x) - f(x)g'(x))/(g(x))^2.

Let's apply the quotient rule to the given function. We have f(x) = 4 and g(x) = 1-6x^4. Taking the derivatives of f(x) and g(x), we have f'(x) = 0 and g'(x) = -24x^3.

Now we can substitute these values into the quotient rule formula:

y' = ((1-6x^4)(0) - 4(-24x^3))/(1-6x^4)^2

= (0 + 96x^3)/(1-6x^4)^2

= 96x^3/(1-6x^4)^2.

Therefore, the derivative of y = 4/(1-6x^4) is y' = 96x^3/(1-6x^4)^2.

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Which relation represents a function?

Which relation represents a function?
Which relation represents a function?

Answers

Answer:

only B

Step-by-step explanation:

to be a function each value of x must have exactly one value of associated y.

in A x = 1 has 2 different y values (1 and 3) associated. no function.

in C the curve shows that many values of x have multiple different y values.

e.g. x = 0 has y = -2, 0 and 2

no function.

in D x = 6 has 2 different y values (5 and 7). no function.

6. Audrey's monthly car payment is $350 and
she needs to save at least $35 each month for
gas. If Audrey is paid $17.50 an hour, write
and solve an inequality to represent the
number of hours she must work in a month to
pay for her car payment and gas.

Answers

Answer:

22 hours

Step-by-step explanation:

For one month, Audrey has to pay $350 for her payment and $35 for gas, meaning that she will need to pay $385 per month.

$350 + $35 = $385

Audrey makes $17.50 an hour.  Set up an equality to find the amount of hours she must work to pay for her car payment and gas.

17.50x > 385

(17.50x)/17.50 > 385/17.50

x > 22

Audrey must work at least 22 hours to pay for her car payment and gas.

Please help I’ll give brainliest

Please help Ill give brainliest

Answers

Answer:

D. 12m^3n^5

Step-by-step explanation:

Answer:

12m³n⁵

Step-by-step explanation:

3 · 4 = 12

m² · m = m³

n³ · n² = n⁵

Therefore, 3m²n³ · 4mn² = 12m³m⁵

What is 5 divided by 1900 ?

If you know the answer please write steps

Answers

Answer:

i think the answer is 0.00263157895

It’s 0.002631578947368 if you divide

In practice, we frequently use a continuous distribution to approximate a discrete one when the number of values the variable can assume is countable but large. a. True b. False

Answers

The statement "In practice, we frequently use a continuous distribution to approximate a discrete one when the number of values the variable can assume is countable but large" is false because we use a discrete distribution to approximate a discrete one when the number of values the variable can assume is countable but large.

In probability and statistics, we frequently use a discrete distribution to model a variable that can only take on certain values. A continuous distribution, on the other hand, is used to represent a variable that can take on any value within a given range.

However, when the number of values the variable can take on is countable but large, we usually use a discrete distribution to model it rather than a continuous one. For example, if we're counting the number of heads that come up in a series of coin flips, we would use a discrete distribution (the binomial distribution) rather than a continuous one.

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let say that x, y, z are regular unix user processes and x’s parent is y and y’s parent is z. when process y dies, what would happen?

Answers

The exact behavior and consequences depend on the Operations system's process management mechanisms and the actions taken by process z or the system's process manager.

When process y dies, the Operations system handles the termination of the process and performs certain actions related to its termination. Here are the likely outcomes when process y, with process x as its child and process z as its parent, dies:

1. Process y's termination: When process y dies, the operating system marks it as terminated and frees up any system resources that were allocated to it. This includes releasing memory, closing file descriptors, and removing its entry from the process table.

2. Parent-child relationship: Since process x is the child of process y, the operating system updates the parent-child relationship. Typically, when a parent process dies, the child process is reassigned to another process called the init process or is terminated if no other process adopts it. The exact behavior depends on the operating system's process management policies.

3. Process z's status: Process z, being the parent of process y, may receive a notification or a signal indicating the termination of its child process. The operating system usually sends a SIGCHLD signal to the parent process, allowing it to handle the termination of its child process appropriately. Process z can choose to ignore the signal or perform actions such as cleaning up resources or spawning a new child process to replace the terminated one.

4. Orphaned process: If process z does not handle the termination of process y appropriately or if process z itself terminates before process y, process x becomes an orphaned process. Orphaned processes are typically adopted by the init process or the system's process manager, ensuring that they are handled and terminated properly.

In summary, when process y dies, the operating system marks it as terminated, updates the parent-child relationship, and may notify process z. The exact behavior and consequences depend on the operating system's process management mechanisms and the actions taken by process z or the system's process manager.

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what is the scale factor?

what is the scale factor?

Answers

Use this:

The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.

Answer:

1 2/3 is the scale factor

Step-by-step explanation:

So the scale factor either makes soemthing bigger or smaller

In this case it’s getting bigger

So we have one side already so we jsut find the value that was multiplied

so 9 * ? Is 15

You

d get 1 2/3

The formula d = 16t to the second power describes the number of feet d a skydiver falls in t seconds of free fall assuming there is not air resistance. How far does a skydiver fall between the third and fourth seconds?

Answers

Answer:

D=16(3)

=48 feet

D=16(4)

=64 feet

The distance between third and fourth second=64 feet-48 feet

=16 feet

Dee invested a total 10,125 in two accounts pay 9.5% and 4% simple interest. if a total return at the end of the two years was 1580, how much did she invest in each account?

Answers

Suppose Dee invests "x" dollars in 9.5% interest paying account and "y" dollars in 4% interest paying account.

Total Invested = $ 10,125

Thus, we can write:

\(x+y=10125\)

Simple Interest earned is given by the formula

\(i=\text{Prt}\)

Where

i is the interest earned,

P is the amount invested in the account,

r is the rate of interest in decimal

t is the time in years

• For 9.5% account, we can say that the interest earned is:

\(\begin{gathered} i=\text{Prt} \\ i=(x)(0.095)(2) \\ i=0.19x \end{gathered}\)

• For 4% account, we can say that the interest earned is:

\(\begin{gathered} i=\text{Prt} \\ i=(y)(0.04)(2) \\ i=0.08y \end{gathered}\)

The total interest earned is 1580, thus we can form the second equation:

\(0.19x+0.08y=1580\)

Solving the first equation for x gives us:

\(\begin{gathered} x+y=10125 \\ x=10125-y \end{gathered}\)

Now, we substitute this into the second equation and solve for y first:

\(\begin{gathered} 0.19x+0.08y=1580 \\ 0.19(10125-y)+0.08y=1580 \\ 1923.75-0.19y+0.08y=1580 \\ 0.19y-0.08y=1923.75-1580 \\ 0.11y=343.75 \\ y=3125 \end{gathered}\)

Using this value of y, we can easily figure out the value of x.

\(\begin{gathered} x=10125-y \\ x=10125-3125 \\ x=7000 \end{gathered}\)

So,

Dee invested $7000 in 9.5% account and $3125 in 4% account.

Jared is making accessories for the soccer team. He uses 784.96 inches of fabric on headbands for 28 players and 4 coaches. He also uses 250.32 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

The total fabrics used on a headband and wristband for each player is 33.47 inches

What is the total fabrics used?

Fabrics used for headbands on 28 players and 4 coaches = 784.96 inches

Fabrics used per person on headbands = 784.96 inches / 32 persons

= 24.53 inches

Fabrics used on wristbands for just players = 250.32 inches

Fabrics used per person on wristbands = 250.32 inches / 28 persons

= 8.94 inches

Total fabrics used per person = Fabrics used per person on headbands + Fabrics used per person on wristbands

= 24.53 inches + 8.94 inches

= 33.47 inches

In conclusion, the total fabrics used per person is 33.47 inches

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Find the length of the third side. If necessary, round to the nearest tenth.2 5

Find the length of the third side. If necessary, round to the nearest tenth.2 5

Answers

Answer:

b= 4.6

Step-by-step explanation:

use the pythagorean theorem.

Answer:

4.6

Step-by-step explanation:

What is missing from the graph?

HELP I WILL GIVE BRAINIEST

What is missing from the graph?HELP I WILL GIVE BRAINIEST

Answers

Answer:

I think the title is missing from the graph

Answer:

Y-intercept maybe? since the given function doesn't have a point where x = 0

Or it could also be the x and y-axis are not labeled

I'm so sorry if this is wrong but i hope this helps!

Find the value of x and y

Find the value of x and y

Answers

Answer:

5/\(\sqrt{2}\)

Step-by-step explanation:

This is an isosceles triangle, which means the hypotenuse is the product of one of the legs and the squareroot of 2. Since the hypotenuse is 5, the legs must be 5/\(\sqrt{2}\).

What is the formula for the following arithmetic sequence?

12, 6, 0, -6, ...

a. an = 12 + (-6)( n - 1)
b. an = -6 + 12( n - 1)
c. an = 6 + 12( n - 1)
d. an = 12 + 6( n - 1)

Answers

The answer is A an=12+(-6)(n-1)

I need help with this its like a fraction​

I need help with this its like a fraction

Answers

\(\frac{10^8}{10^6} = 10^{8-6} = 10^2 = 100\)

The rule used is

\(\frac{a^b}{a^c} = a^{b-c}\)

Subtract the exponents when dividing exponentials like this of the same base.

Evaluate the series 1 + 2 + 4 + 8 to S10.

Answers

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

What is recurrent relation?

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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Which line is parallel to the graph of the line y = – 2/3x – 5?

Answers

Answer:

So you solpe os -5  go two down trun  right 3

Step-by-step explanation:

y=mx+b  

m=-2/3

b=-5

Answer:

Any line that has the slope of -2/3x and is not y=-2/3x-5

Step-by-step explanation:

Any line that has the slope of -2/3x and is not y=-2/3x-5 (for example, y=-2/3x+5 is parallel and y=-2/3x-3/2 is parallel, but y=-2/3x-5 is just the same line)

Brad says 24 ÷ 3 is the same as 3 ÷ 24 because the commutative property works for multiplication, and multiplication and division are related. Cheryl says the order does matter, so 24 ÷ 3 is not the same as 3 ÷ 24. Who do you agree with? Justify your reasoning.

Answers

Answer:

I agree with Cheryl.

24 ÷ 3 = 8

3 ÷ 24 = \(\frac{1}{8}\)

Commutative property works for multiplication because when you multiply two numbers, you have repeated addition. No matter which way you add up the numbers, you will get the same result. When you divide, you are breaking up a certain number by a certain number. If they are not the same number, you will get a different result.

What is the product?
361
[-1 2 41x2 40
0 62
0
이에
26
7
o [126 7 기
ㅇ[73891
7
0 138
9

Answers

Answer:

i think the profuct is joe

Step-by-step explanation:

j

o

e 1-357=1

Juan bought a basketball for 40% off. If
he paid $36 for the basketball, what was
the original price?

Answers

Answer:

$24

Step-by-step explanation:

since 40% is in 100% i did 100 - 40 which i got 60

then it says that he paid $36 so I subtracted 60 - 36 and I got $24 as the answer iihope this helps! :)

100 - 40 = 60

60 - 36 = 24

The original price when he paid $36 for the basketball should be considered as the $24.

Calculation of the original price:

Since

Juan bought a basketball for 40% off And, If he paid $36 for the basketball.

So it be like

= 60% of $100 - $36

= $60 - $36

= $24

Hence, The original price when he paid $36 for the basketball should be considered as the $24.

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what is factorization of the trinomial below 4x^2-20x+24 a)4x(x-4)(x-6) b)4(x-4 )(x-6) c)4(x-2)(x-3) d)4x(x-2)(x-3)

Answers

Answer:

4(x-3)(x-2)

Step-by-step explanation:

4x^2-20x+24

4(x-3)(x-2)

there are default tab stops every one inch on the horizontal ruler. _________________________

Answers

There are default tab stops every one inch on the horizontal ruler is true statement.

In word processing software, there are usually default tab stops set every one inch (or 2.54 cm) on the horizontal ruler. These tab stops are the default positions at which the insertion point will stop when the tab key is pressed.

The purpose of these tab stops is to make it easier to align text in columns or tables. By default, there are left-aligned, centered, right-aligned, decimal-aligned, and bar-aligned tab stops. Users can also add custom tab stops at specific positions on the ruler to suit their formatting needs.

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5th grade math! Can someone help me out? Offering 20 points for both of these!

5th grade math! Can someone help me out? Offering 20 points for both of these!

Answers

Answer:

\(8\frac{2}{6}\\\\2\frac{1}{5}\)

Fractions are sometimes the same as dividing, for this case, that rule applies.

\(\frac{50}{6}\\\\\frac{11}{5}\)

↑ These improper fractions translate to...

\(\frac{50}{6} = 8\frac{1}{3} -- > 8\frac{2}{6} \\\\ \frac{11}{5} = 2\frac{1}{5}\)

Answer:

1)  D. 8 2/6 hotdogs

2)  B. 2 1/5 cakes

Step-by-step explanation:

1) If she's dividing 50 hotdogs equally among 6 people, then you would divide 50 by 6 to find how many each person gets.
note: 50 ÷ 6 is the same as \(\frac{50}{6}\).

\(\frac{50}{6}\) =  \(8\frac{2}{6}\)

6 can go into fifty 8 times, so there is a whole number of 8. There is 2/6 left over, so the final result is \(8\frac{2}{6}\).

2) If Sako makes 11 cakes and wants to share it equally among 5 people, we can divide 11 by 5 to find how many each person gets.

\(\frac{11}{5} =2\frac{1}{5}\)

5 can go into eleven 2 times, so there is a whole number of 2. There is 1/5 leftover, so the final result is \(2\frac{1}{5}\).

Hence, the answers are D, and B.

hope this helps!

a hypothesis test for the difference in two means, , is to be performed using the sample summarized below. mean se group 1 6 0.25 group 2 4 0.30 what must be true of the method used to generate samples for the randomization distribution? it must generate samples assuming that...

Answers

As per the given hypothesis test, the randomization distribution is 0.0647177.

The term randomization distribution is defined as use resampling techniques to construct a sampling distribution that can be used to make inferences about the population.

Here we have given that a hypothesis test for the difference in two means, , is to be performed using the sample summarized below.

And we need to find the method used to generate samples for the randomization distribution

As per the given details, we have know that the given details

x1 = 6

σ1 = 0.25

x2 = 4

σ2 = 0.30

Then the distribution is calculated as,

z1 = 0.232476

P( X ≤ 1.644854 ) = 0.591916.

P( X > 1.644854 ) = 0.408084.

Probability density( 1.644854 ) = 0.0647177.

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What is 10-18+16y-190b?

Answers

Answer:

−190b+16y−8

Step-by-step explanation:

Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9

Part A: Solve by graphing.

Part B: Solve by substitution.

Part C: Solve by elimination.

Describe the process and steps you used to solve each method.

Answers

Answer:

Step-by-step explanation:

you do part a

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

b

Divide equation 2 by 3

x-y=3

add y to both sides

x=3+y

Sbustitute this into equation 1

4(3+y)=2

12+4y+y=2

5y= -10

y= -2

Plug this into equation 1

4x-2=2

x=1

Part c.

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

divide equation 2 by 3

x-y=3

add the two equations

(x-y)+(4x+y)=2+3

5x=5

x=1

Plug this into equation 1

4(1)+y=2

4+y=2

y= -2

For part a just create a table and graph it

jim is going to buy donuts for his family. each donut costs $1.45. if the number of donuts jim buys is represented using the letter d, which expression represents the total cost? a 1.45d b 1.45/d c 1.45 d d 1.45 - d

Answers

By applying total cost concept, it can be concluded that the expression represents the total cost is 1.45d (option A).

Algebra is a branch of mathematics that uses symbols and mathematical operations, such as addition, subtraction, multiplication, and division to solve problems.

It is usually used to solve a problem in various fields of study, such as chemistry, biology, economics, and so on.

One of the most familiar uses of algebra is how to calculate the total cost:

Total cost = n x p , where:

n = number of products

p = product price per piece

We know that Jim is going to buy donuts for his family:

p = $1.45

n = d

So the total cost can be calculated by multiplying 1.45 by d, which equals 1.45d.

Thus the expression represents the total cost is 1.45d (option A).

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