10) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value)


The area of the figure is
un?

Answer:

Step-by-step explanation:

Depending on the correlations between the days, the answer can be anywhere from 25% (perfect correlation) to 100% (for example, first four days mutually exclusive).

If you assume the days are independent, which may be what you intended to ask but is not actually a good assumption when it comes to the weather, then the probability is 1 - (1-0.25)^5 = 76%

The issue pertains to probability theory, and specifically the calculation of the likelihood of precipitation on a particular day. We need to find the total probability that it rains at least three out of five days, and this would require enumerating and counting all possible outcomes.

This is a problem of probability related to weather forecasts, specifically concerned with the chance of rain. The first day has an independent probability of 1/2 (rain or no rain). Thereafter each day's weather depends on the previous day's. If it rained the day before, there's a 2/3 chance it will rain the next day, and 1/3 chance it won't. If it didn't rain, those chances are reversed.

To get the probability that it rains at least three out of five days, we will think about it in terms of the total possible outcomes and the desired outcomes. The problem can be solved by counting the number of ways that we can have 3, 4 or 5 rainy days out of 5 and then multiplying each by the probability of that particular event.

By following these steps, we will arrive at the total probability, which might require a sophisticated understanding of probability theory.

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Given:

Total number of tickets = 80

Ratio of winning tickets to losing tickets is 2 : 8.

To find:

The number of tickets of each kind in the bag.

Solution:

Let the number of winning and losing tickets are 2x and 8x respectively.

Total number of tickets = 80

\(2x+8x=80\)

\(10x=80\)

Divide both sides by 10.

\(x=\dfrac{80}{10}\)

\(x=8\)

Now,

Winning tickets : \(2(8)=16\)

Losing tickets : \(8(8)=64\)

Therefore, the winning and losing tickets are 16 and 64 respectively.

(a) The value of C for joint density of x and y  is 1/4

(b) The density function of X is \(\frac{e^{-x} }{4}\)

(c) The density function of Y is \(\frac{1}{2}y^{2}e^{-y}\)

(d) The value of E[X] is -1.

(e) The value of E[Y] is 3.

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The function is f(x, y) = c(y - x) * e ^ (- y) - y < x < y, 0 < y < ∞

The joint density of X and Y is,

f(x,y)=\ matrix c(y - x) * e ^ (- y) - y < x < y , 0<y< infty \\ 0 matrix

Otherwise

The value of C is,

e ^ (- y) * (integrate (y - x) dx from x = - y to y) dy from y = 0 to ∞ = 1*int y=0 ^ infty e^ -y (xy - (x ^ 2)/2) x=-y ^ y dy=1

c = 1/ 4

(a) The value of C for the function is 1/4

(b) The density function of X is \(\frac{e^{-x} }{4}\)

(c) The density function of Y is \(\frac{1}{2}y^{2}e^{-y}\)

(d) The value of E[X] is -1.

(e) The value of E[Y] is 3.

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Answer:

y = -15

Step-by-step explanation:

All you have to do is 51 divided by -3.4 and it equals -15. Inverse operations in short terms. And if you substitute -15 for y it will fir.

Answer:

-3.4y = 51

y = 51/-3.4

y = 510/-34

y = -15

Therefore, the probability that the bus will arrive tomorrow between 8:00 AM and 8:02 AM is 20%.

To find the probability that the bus will arrive tomorrow between 8:00 AM and 8:02 AM, we need to consider the time range during which the bus could arrive.

The bus always arrives between 8:00 AM and 8:10 AM, which means there are 10 minutes in total for the bus to arrive.

The desired time range is between 8:00 AM and 8:02 AM, which is a 2-minute interval.

To find the probability, we divide the desired time range (2 minutes) by the total time range (10 minutes):

Probability = Desired time range / Total time range

= 2 minutes / 10 minutes

= 1/5

= 0.2

= 20%

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Answer:

The answer is

Step-by-step explanation:

The distance between two points is found by using the formula

\( \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } \)

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

The distance between (-6, -2) and (0, -1) is

\( \sqrt{ {( - 6 - 0)}^{2} + {( - 2 + 1)}^{2} } \\ \\ = \sqrt{ {( - 6})^{2} + {( - 1)}^{2} } \\ \\ = \sqrt{36 + 1} \\ \\ = \sqrt{37} \: units\)

Hope this helps you

Answer: √37 units

hope that helped!

Answer:

y=32.5÷5

Step-by-step explanation:

the 32.5 lbs of meat is distributed between 5 lions so 32.5÷5=y

Answer:

33.34%.

Step-by-step explanation:

Given that,

The actual price of the shirt = $36

Price on sale = $24

We need to find the percent of the decrease. The formula for the percentage is given by :

\(\%=\dfrac{|\text{actual value-estimated value}|}{\text{actual value}}\times 100\)

Putting all the values,

\(\%=\dfrac{24-36}{36}\times 100\\\\=33.34\%\)

So, the percentage decrease in the price of the shirt is 33.34%.

Answer:

46

Step-by-step explanation:

13 +5 +13+5 •6 witch is 46

The vector parametric equation for the line through the point (5, 5, 4) that is parallel to the line (−4,−1−5t,1+3t) is: L(t) = ⟨5 - 4t, 5 - t, 4 + 5t⟩

To find a vector parametric equation for the line parallel to the line (−4,−1−5t,1+3t) and passing through the point (5, 5, 4), we can use the direction vector of the given line and the point on the line.

The direction vector of the given line is ⟨-4, -1, 5⟩. Since the parallel line will have the same direction, we can use this vector as the direction vector for our new line.

Now, let's denote the new line as L(t) and use the point-slope form of a line to write the parametric equations:

L(t) = ⟨5, 5, 4⟩ + t⟨-4, -1, 5⟩

Expanding the vectors:

L(t) = ⟨5 - 4t, 5 - t, 4 + 5t⟩

Therefore, the vector parametric equation for the line through the point (5, 5, 4) that is parallel to the line (−4,−1−5t,1+3t) is:

L(t) = ⟨5 - 4t, 5 - t, 4 + 5t⟩

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Give a vector parametric equation for the line through the point (5,5,4) that is parallel to the line (−4,−1−5t,1+3t) : L(t) =?

The area of the domain enclosed by the curve with parametric equations x = tsin t, y = cost, t ∈ [0, 2π] is 2π + 2.

The parametric equations given are:

x = t sin t
y = cos t

To find the area of the domain enclosed by the curve, we can use the formula for the area of a region bounded by a curve given in parametric form:

A = ∫[a,b] y dx

where a and b are the limits of the parameter t that describe the domain of the curve.

In this case, we have:

a = 0
b = 2π

So, we need to compute:

A = ∫[0,2π] cos(t) (t sin(t)) dt

Using integration by parts with u = t and dv = sin(t) dt, we get:

A = [t cos(t)]|[0,2π] - ∫[0,2π] cos(t) dt + ∫[0,2π] sin(t) dt

The first integral evaluates to:

[t cos(t)]|[0,2π] = 2π

The second integral evaluates to:

∫[0,2π] cos(t) dt = [sin(t)]|[0,2π] = 0

The third integral evaluates to:

∫[0,2π] sin(t) dt = [-cos(t)]|[0,2π] = 2

Therefore, the area of the domain enclosed by the curve is:

A = 2π - 0 + 2 = 2π + 2

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The probability of event A given event B, denoted as P(A | B), is 0.750. The probability of event B given event A, denoted as P(B | A), is 0.900. A and B are not independent events because the conditional probabilities P(A | B) and P(B | A) are not equal to the marginal probabilities P(A) and P(B), respectively.

To find P(A | B), we use the formula:

P(A | B) = P(A ∩ B) / P(B)

In this case, P(A ∩ B) = 0.45 and P(B) = 0.60.

Plugging these values into the formula, we get

P(A | B) = 0.45 / 0.60 = 0.750.

To find P(B | A), we use the formula:

P(B | A) = P(A ∩ B) / P(A)

Here, P(A ∩ B) = 0.45 and P(A) = 0.50.

Substituting the values, we find

P(B | A) = 0.45 / 0.50 = 0.900.

A and B are not independent because the probabilities of A and B are affected by each other. If A and B were independent, then P(A | B) would be equal to P(A), and P(B | A) would be equal to P(B). However, in this case, both P(A | B) and P(B | A) differ from their respective marginal probabilities. Therefore, A and B are dependent events.

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The coefficient of x² in 2 x² x³ is 2 n with number.

2 x² x³

= 2 x² (x³)

= 2 x² (x  x  x)

= 2 x² x  x  x

The coefficient of x² is 2.The expression 2 x² x³ can be written as 2 x² (x³). This can be further simplified to 2 x² (x  x  x). The coefficient of x² is 2, which means that the coefficient of x² in 2 x² x³ is 2. The coefficient of a term is the numerical factor of the term, or the number that is multiplied with the term. In this case, the coefficient of x² is 2, as it is the number multiplied with x².

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The number of subjects who participated in the study is 20.

To determine the number of subjects who participated in the study, we need to understand the relationship between the degrees of freedom (df) and the sample size in a t-test.

In a matched-subjects experiment, participants are typically matched based on certain characteristics or variables to create pairs or groups. Each pair or group is then exposed to different conditions or treatments, and the differences within each pair or group are analyzed.

This type of design is often used to minimize individual differences and increase the precision of the study.

In a matched-subjects t-test, the degrees of freedom are calculated based on the difference scores between the pairs or groups. The formula to calculate the degrees of freedom is:

df = n - 1

Where 'n' represents the number of pairs or groups.

In a matched-subjects design, each pair contributes one degree of freedom.

Given that the t statistic has a df of 19, we can set up the equation:

19 = n - 1

Solving for 'n', we add 1 to both sides:

19 + 1 = n - 1 + 1

20 = n

In summary, based on the given information, there were 20 subjects who participated in the matched-subjects experiment.

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The volume of figure down below is 470.996 cubic in.

The volume of the cone is the product of one-third of the height, pie, and square of the radius that is;

The volume of the cone = 1/3(πr²)(height)

Since we can see that there are two cones combined together to form one figure.

So, Volume of first cone = 1/3(πr²)(height)

= 1/3(π 5²)(7)

= 1/3(π 25)(7)

= 183.166

Volume of second cone = 1/3(πr²)(height)

= 1/3(π 5²)(11)

= 1/3(π 25)(11)

= 287.83

Therefore, the volume of the figure is;

287.83 + 183.166

470.996

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Answer:

b = c/3 + 2/3

Step-by-step explanation:

3b - 4/2 = c

the goal is to have b all by itself on one side of the equals sign.

start by moving the fraction over to where c is by adding.

3b = c + 4/2

adding -4/2 and +4/2 together makes it a 0 on the b side so there's no need to write anything in that space anymore.

Now 3b are next to each other which means they are multiplying. To move 3 we need to do the opposite (divide by 3 on both sides of the equal sign)

b = c/3 + 2/3

notice I divided both c and 4/2 by 3. 4/2 = 2 so I changed it to 2, then divided by 3

Answer:

$32.25

Step-by-step explanation:

first, we devide the price by 100 to know what %1 out of %100 is.

so, 129 ÷ 100 = 1.29.

then, we multiply our answer with 25, since we are looking for what %25 is equal to.

1.29 × 25 = $32.25.

or you could devide the full price (129) by 4, since %25 is a quarter of %100

The amount discounted from the original price is $32.25.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Given that,

Regular price of nike sneakers = $129

Percentage of discount = 25%

Amount discounted from the original price = 25% × 129

                                                                       = (25 / 100) × 129

                                                                       = 0.25 × 129

                                                                       = 32.25

Hence the amount discounted is $32.25.

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Answer:

Step-by-step explanation:

( 2 , - 2 )

( 3 , - 2 )

m = 0

y = - 2

Answer:

D.

Three-quarters of the class was able to earn a 72% or better on the test. Overall, students were able to perform. Thus, the test was appropriate.

Answer:

Step-by-step explanation:

Comparing

This is not same as u = v, so the answer is false

Answer:

41

Step-by-step explanation:

2021 eng

The probability of tuning an engine in 20 minutes or less is 0.5

Given that the time it takes to completely tune an engine of an automobile follows an exponential distribution with a mean of 30 minutes.

Let X be the time taken to tune an engine, then X follows an exponential distribution with mean μ = 30 minutes.

The probability of tuning an engine in 20 minutes or less can be calculated as follows

P(X ≤ 20) = 1 - \(e^{-lambda*x}\)

where λ = 1/μ is the rate parameter.

So, substituting the values we get:

P(X ≤ 20) = 1 - \(e^{-20/30}\)

= 1 - \(e^{-0.6667}\)

Subtract the numbers

= 0.5

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However, in general, there are three types of transformations in geometry which are dilation, rotation, and translation. If you provide me with a figure or more information about it, I can give you a more detailed and long answer to your question.
To determine the type of transformation illustrated in the figure, please consider the following:

a. Composition - A combination of two or more transformations
b. Dilation - A transformation that changes the size of a figure, but not its shape
c. Rotation - A transformation that turns a figure around a fixed point
d. Translation - A transformation that moves a figure without changing its shape, size, or orientation

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The cone shaped pile can hold 235.5 feet sand.

What is volume of cone ?

  One-third the sum of the area of the cone's circular base and its height is the formula for a cone's volume. Cones are described as pyramids with circular cross sections in terms of geometric and mathematical ideas. A cone's volume can be quickly determined by measuring the cone's height and radius.

Here radius of cone = 5 feet

Height of cone h = 8 feet 10 inches = 8+1 = 9 feet

Now volume of cone is

=> V = \(\pi r^2\frac{h}{3}\) cubic unit

=> V= 3.14* 25 * 3 = 235.5 cubic feet.

Hence the cone shaped pile can hold 235.5 feet sand.

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Answer:

True

Step-by-step explanation:

The value of the side length x and y in the right triangle is 13 and 13√2 respectively.

The figure in the image is a right triangle.

From the diagram:

Angle θ = 45 degree

Adjacent to angle θ = 13

Opposite to angle θ = x

Hypotenuse = y

To solve for the missing side length x and y, we use the trigonometric ratio.

Note that:

tangent = opposite / adjacent

cosine = adjacent / hypotenuse

Solving for x:

tan(θ) = opposite / adjacent

Plug in the values:

tan( 45 )  = x / 13

Cross multipying:

x = tan(45) × 13

x = 13

Solving for y:

cos(θ) = adjacent / hypotenuse

Plug in the values:

cos( 45 ) = 13 / y

Cross multipying:

cos( 45 ) × y = 13

y = cos( 45 ) / 13

y = 13√2

Therefore, the value of y is 13√2.

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The value of the 10% trimmed mean is approximately 1.3027. To calculate the 10% trimmed mean, we need to trim off the lowest and highest 10% of the data and then find the mean of the remaining values.

First, let's sort the data in ascending order:

0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24

Next, we calculate the number of values to trim from each end:

10% of 15 (total number of values) = 0.1 * 15 = 1.5

Since we can't remove half a value, we round up to the nearest whole number, which is 2.

Now, we remove the two lowest and two highest values:

0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26

Finally, we calculate the mean of the remaining values:

(0.26 + 0.3 + 0.33 + 0.41 + 0.54 + 0.57 + 1.41 + 1.7 + 1.84 + 2.2 + 2.26) / 11 = 14.33 / 11 ≈ 1.3027

Rounding to four decimal places, the value of the 10% trimmed mean is approximately 1.3027.

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Answer:

Step-by-step explanation:

5 * 3 = 15

8 * 9 = 72

Add

Answer = 87 cm^2