In a large housing project, 35% of the homes have a deck and a
two-car garage, and 80% of the houses have a houses have a two-car
garage. Find the probability that a house has a deck given that it
has

Answer:

3/2

I hope this is correct

Answer:

3/2 = 1.5

Step-by-step explanation:

Find two corresponding sides whose lengths are given.

AB and WX

The scale factor from quad ABCD to quad WXYZ is the ratio of a length in WXYZ to the corresponding length in ABCD.

scale factor = 12/8 = 3/2 = 1.5

Answer:

V = 1077.02 in³

Step-by-step explanation:

To find the volume of a cylinder, we use this formula:

V = πr²h

Let's plug in what we know.

V = (3.14)(7)²(7)

Evaluate the exponent first.

V = (3.14)(49)(7)

Multiply.

V = 1077.02 in³

Hope this helps!

Answer:

I think it is 2.

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

There is a line above the first 2 numbers after the decimal point

Step-by-step explanation:

...

The variable that is an intermediate link in the causal chain between A and B is not a confounding factor. Therefore, the given statement is False.

Confounding variables are those that affect other variables in a way that produces spurious or distorted associations between two variables. They confound the "true" relationship between two variables.

A confounding factor is a variable that is associated with both the exposure and the outcome, but is not an intermediate link in the causal chain between the exposure and the outcome.

Confounding factors can create a false association between the exposure and the outcome or can mask a true association. Therefore, it is important to control for confounding factors in research studies to ensure that the observed association between the exposure and the outcome is not due to the confounding factor.

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Y is a random variable on (Ω, F, P).

To show that y is a random variable on (Ω, F, P), we need to show that the pre-image of any Borel set B in R under y is an event in F. In other words, we need to show that {w : y(w) ∈ B} is in F for any Borel set B in R.

Let y be any real-valued function on Ω. Then, for any Borel set B in R,

{w : y(w) ∈ B} = y^{-1}(B),

where y^{-1}(B) denotes the pre-image of B under y. Since y is measurable, we have y^{-1}(B) ∈ F for any Borel set B in R. Therefore, y is a random variable on (Ω, F, P).

Alternatively, we can use the definition of a random variable to show that y is a random variable. Let y be any real-valued function on Ω. Then, for any Borel set B in R,

{w : y(w) ∈ B} = {w : y(w) ≤ x} ∩ {w : y(w) ≥ x},

where x is any real number such that B = (-∞, x] ∪ (x, ∞). Since y is measurable, {w : y(w) ≤ x} and {w : y(w) ≥ x} are events in F for any real number x, and hence their intersection {w : y(w) ∈ B} is also an event in F. Therefore, y is a random variable on (Ω, F, P).

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The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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Answer:

Step-by-step explanation:

The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal

Answer:

2.25

Step-by-step explanation:

Notice how the common ratio is -1/3, which means the series passes part 1 of the convergence test because -1/3 is in between -1 and 1.

We can also represent this as a summation series of

\(Σ3( - \frac{1}{3} ) {}^{n - 1} \)

Since we can represent this a summation series, we can use that convergent value is equal to

\( \frac{a _{1} }{1 - r} \)

where a1 is initial term and r is common ratio.

R is -1/3

A1 is 3.

\( \frac{3}{1 - \frac{ - 1}{3} } = \frac{3}{ \frac{4}{3} } = 2.25\)

So the answer is 2.25

Answer:

tsk i cant help u bud :(

Step-by-step explanation:

The price of the table yesterday is $925

The sale price of the table today = $592

Let yesterday's sale price be x

Discount = 36%

The percentage sale price today = 100% - 36%

The percentage sale price today = 64%

Today's sale price = 64% of yesterday's sale price

592 = (64/100)x

592 = 0.64x

x = 592/0.64

x = $925

The price of the table yesterday is $925

Yes , this satisfied the condition of constructing confidence interval for the proportion of given sample American who do not eat meat.

To construct a confidence interval for the proportion of Americans who do not eat meat,

use the formula for a confidence interval for a proportion,

CI = p ±z√(p(1 - p)/n

Where

p is the sample proportion proportion of Americans in the sample who do not eat meat.

n is the sample size number of Americans in the sample.

z is the z-score corresponding to the desired level of confidence

A simple random sample of 32 Americans, and 4 of them do not eat meat.

So, sample proportion is,

p= 4/32

 = 0.125.

However, to determine whether the conditions for constructing a confidence interval are satisfied,

The sample size is large enough and if the sampling distribution can be approximated by a normal distribution.

Sample size condition,

The sample size should be large enough for the sampling distribution to be approximately normal.

A common rule of thumb is that both np and n(1−p) should be greater than 10.

np =32×0.125

   =4

n(1−p)=32×0.875=28,

both of which are greater than 10.

Therefore, the sample size condition is satisfied.

Normality condition,

Since the sample size is small (32), cannot assume that the sampling distribution is exactly normal.

However, if the sample size is not too small and the proportion is not too close to 0 or 1,

the normality approximation can still provide a reasonable approximation.

The proportion p is 0.125, which is not extremely close to 0 or 1.

Therefore, the normality condition is approximately satisfied.

The normality approximation may introduce some level of uncertainty due to the small sample size.

Therefore, based on conditions reasonable to construct a confidence interval for proportion of Americans who do not eat meat using sample.

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Answer:

6 hours.

Step-by-step explanation:

Here's my work.

Chang only wanted to spend $44, and the boat costs $8/hr. So, the variable would only be 8t, and you would put 44 on the other side.

Then, you'd put -4 on the side with 8t, because you can take off $4.

So, the setup would be;

44 = 8t - 4.

The length of segment AB can be determined by using the Pythagorean Theorem which is concluded to be 72mm.

A segment is a distinct part of a larger whole. It can refer to a division of a market, such as age, gender, or income level, or a division of a product, such as features or size. Segmentation is the process of dividing a larger audience or market into smaller, more specific groups based on specific characteristics.      

The theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this problem, the length of segment AB is the hypotenuse and sides AC, ED and EC form the triangle.

The length of segment AC is given to be 36 mm and the length of segment ED is given to be 9 mm. Therefore, the length of segment EC is 72 mm, which is the hypotenuse. Therefore, the Pythagorean Theorem can be used to determine the length of the hypotenuse, which is segment AB.

The formula for the Pythagorean Theorem is \(a^2 + b^2 = c^2\), where a and b are the lengths of the two sides of the triangle, and c is the length of the hypotenuse. In this problem, a = 36 mm, b = 9 mm, and c = 72 mm. Plugging these values into the formula gives us \(36^2 + 9^2 = 72^2\). Simplifying this equation, we get 1296 + 81 = 5184. Therefore, the length of segment AB is 72 mm.

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Complete question is:

Given the following segment lengths, find the length of segment AB. where B is in between of A and C

AC = 36 mm

EC = 72 mm

ED = 9mm

The probability that both the pirate and the Captain hit each other's ships is 1/7.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur.

Probability of captain hitting pirate's ship = 1/2

Probability of pirate hitting captain's ship = 2/7

We have to evaluate the probability that both the pirate and the Captain hit each other's ships:

= 1/2 × 2/7

= 1/7

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Answer:

You are

Step-by-step explanation:

25% is 1/4 of the total value

100/400 = 1/4

So, 100g is 25%

25% * 3 = 75%, so 100 * 3 = 300

Thus, you are correct.

I have no idea how to explain where 'your friend' went wrong :D

Hope this helped!

Answer: There are 7 marbles in the bag and in the first attempt, all 7 marbles are there. After one marble is taken away, then we have 6 marbles to choose from. Therefore we will multiply 7*6 = 42.

Hence, there are 42 possible outcomes.

The sequence is convergent and the sum of the geometric series is 3/2=1.5.

The geometric series was significant in the early development of calculus, is utilized throughout mathematics, and can serve as an introduction to commonly used mathematical tools such as the Taylor series, complex Fourier series, and matrix exponential.

The name geometric series implies that each phrase is the geometric mean of its two nearby terms, in the same way that the word arithmetic series implies that each term.

Given the geometric series 1+1/3+1/9+1/27+...we must verify the value of its common ratio to determine whether the geometric series is convergent or divergent. The value of a geometric series common ratio is used to determine whether it is convergent or divergent.

If |r| <1, the series is convergent.

If |r| >1, the series is divergent.

The common ratio is r.

The common ratio r = (1/3)/1 = (1/9)/(1/3) = (1/27)/(1/9)=1/3 is derived from the given series.

Because r = 1/3, which is smaller than one, the series is convergent.

Because the geometric series tends to infinity, we will apply the formula for calculating a geometric series sum to infinity to get its sum.

The first term = 1

S = a/1-r

a is the first term = 1

r is the common ratio = 1/3

S = 1/1-(1/3)

S= 1/(2/3)

S= 3/2

S=1.5

The sum of the geometric series is 3/2=1.5

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Answer: c

Step-by-step explanation:

Answer: 62

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2+2+2 = 6*2 = 12*2 = 24

The probability of committing a Type II error if the actual mileage is 26 miles per gallon is 0.9803.

The probability of committing a Type II error if the actual mileage is 27 miles per gallon is 0.9783.

The probability of committing a Type II error if the actual mileage is 28.5 miles per gallon is 0.0202.

The rejection rule for the test to determine whether the manufacturer's claim should be rejected is: Reject H0 if the sample mean is less than or equal to 28 - 1 = 27 miles per gallon.

To calculate the probability of committing a Type II error, we need to determine the critical value and the corresponding distribution under the alternative hypothesis.

Given:

Significance level (α) = 0.02

Sample size (n) = 40

Population mean under the alternative hypothesis (μ) = 26, 27, 28.5

To find the critical value for a one-tailed test at a 0.02 significance level, we need to find the z-score corresponding to the cumulative probability of 0.02. Using a standard normal distribution table or calculator, we find the z-score to be approximately -2.05.

For μ = 26:

The critical value is 27 (μ - 1).

The probability of committing a Type II error is the probability of observing a sample mean greater than or equal to 27, given that the population mean is 26. This can be calculated using the standard normal distribution with the z-score of -2.05 and the mean of 26, giving us P(Z ≥ -2.05) = 0.9803 (approximately).

For μ = 27:

The critical value is 27 (μ - 1).

The probability of committing a Type II error is the probability of observing a sample mean greater than or equal to 27, given that the population mean is 27. This can be calculated using the standard normal distribution with the z-score of -2.05 and the mean of 27, giving us P(Z ≥ -2.05) = 0.9783 (approximately).

For μ = 28.5:

The critical value is 27.5 (μ - 0.5).

The probability of committing a Type II error is the probability of observing a sample mean less than 27.5, given that the population mean is 28.5. This can be calculated using the standard normal distribution with the z-score of -2.05 and the mean of 28.5, giving us P(Z ≤ -2.05) = 0.0202 (approximately).

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Answer:

The amount of interest paid over the time of the mortgage is $176,800.

Step-by-step explanation:

To solve this problem, we will use the mortgage formula to find the time it will take to pay off the mortgage.

First, we need to convert the annual rate to a monthly rate by dividing by 12:

r = 9% / 12 = 0.75%

Next, we can plug in the values we know into the mortgage formula and solve for t:

$800 = P = 100000[r(1 + r)^nt]/[(1 + r)^nt - 1]

$800 = 100000[(0.0075)(1 + 0.0075)^12t]/[(1 + 0.0075)^12t - 1]

Multiplying both sides by [(1 + 0.0075)^12t - 1], we get:

(1 + 0.0075)^12t - 1 = 100000(0.0075)(1 + 0.0075)^12t

Dividing both sides by 100000(0.0075), we get:

(1 + 0.0075)^12t - 1 / 100000(0.0075) = 1

Now we can use logarithms to solve for t:

log(1 + 0.0075)^12t - 1 / 100000(0.0075) = log(1)

[(12t)log(1 + 0.0075) - log(1 - $800/100000(0.0075))] / 12log(1 + 0.0075) = 0

[(12t)log(1.0075) - 0.23074] / 12log(1.0075) = 0

12t = 0.23074 / (log(1.0075))

t = 0.23074 / (12log(1.0075))

t ≈ 346 months

Therefore, it will take approximately 346 months, or 28.83 years, to pay off the mortgage.

To find the amount of interest paid over this period, we can subtract the total amount paid from the original mortgage amount:

Total amount paid = $800 x 346 = $276,800

Interest paid = $276,800 - $100,000 = $176,800

Therefore, the amount of interest paid over the time of the mortgage is $176,800.

The choir practice this week for 5 1/4 hours.

On Monday, the choir practiced for 3/4 hour.

On Wednesday, they practiced for 1/2 hour more than on Monday, which is 3/4 + 1/2 = 6/8 + 4/8 = 10/8 = 1 1/4 hours.

On Friday, they practiced twice as long as on both Monday and Wednesday combined, which is 2 * (3/4 + 1 1/4) = 2 * 2 = 4 hours.

To find the total practice time for the week, we can add up the times from each day:

3/4 + 1 1/4 + 4 = 5 + 1/4 = 5 1/4 hours.

Therefore, the choir practiced for 5 1/4 hours in total this week.

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Answer:

B. I think that's right but if its wrong I'm sry

Based on this estimation, there would have been approximately 20 murder victims in Nepal in 1970.

Option (a) is correct.

Based on the given data that there were 1,000,000 people in Nepal in 1970 and the number of murder victims per 100,000 people was 2, we can estimate the total number of murder victims in Nepal for that year.

To calculate this estimate, we can use the following formula:

(Number of murder victims per 100,000) * (Total population / 100,000)

Plugging in the values, we get:

(2 * 1,000,000) / 100,000 = 20

Therefore, based on this estimation, there would have been approximately 20 murder victims in Nepal in 1970.

However, Actual murder rates can vary based on various factors such as socioeconomic conditions, crime rates, law enforcement, and other contextual factors. To obtain a more accurate number, specific historical data on murder rates in Nepal in 1970 would be required.

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Complete question is:

Suppose there were 1,000,000 people in Nepal in 1970. How many murder victims would there have been in 1970 in Nepal?

a) 20

b) 200

c) 2000

d) 2

The static method named median accepts three integers as parameters and that returns the middle value of the three.

JavaCode:

public class ThreeNumMedian

{

public static void main( String... s )

{

System.out.println(median(7,3,9));

System.out.println(median(29,-14,11));

System.out.println(median(752,64,121));

}

private static String median(int x, int y, int z)

{

if( y < x ) {

int t = x;

x = y;

y = t;

}

if( z < y ) {

int t = y;

y = z;

z = t;

}

return String.valueOf(y);

}

}

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Answer:

x = -522 19/30

Step-by-step explanation:

To solve for x, distribute the 3/5. This gives us 3/5x - 21/50 = -314. Add over 21/50 to the other side, allowing for 3/5x to equal -313 29/50. Divide by 3/5 on both sides and we get x equal to -522 19/30. This is the final answer as a mixed number and is also in simplest form.