What is the volume of thee following triangular prism ?

The probability that the number of successes x ≤ 1 is 0.528.

A procedure yields a binomial distribution with n = 5 trials and a probability of success of p = 0.30.

We have to find the probability that the number of successes x ≤ 1.

Since x follows binomial distribution, the probability of x successes in n trials is given by:

P (X = x) = nCx px (1 - p)n - x

where n = 5, p = 0.30

P(X ≤ 1) = P(X = 0) + P(X = 1)

Now, using binomial probability table;

for n = 5, p = 0.30:

When x = 0

P (X = 0) = 0.168, and

When x = 1;

P (X = 1) = 0.360

Hence,

P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.168 + 0.360 = 0.528

Therefore, P(X ≤ 1) = 0.528

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The joint PDF of X and Y is f(x, y) = 1/2 for 0 < x < 2 and 0 < y < 1.

The joint PDF of two random variables X, Y given by f(x, y) = C, where 0 < x < 2 and 0 < y < 1, is a uniform distribution. To find C, you can use the property that the total probability should equal 1.


1. Recognize that the problem describes a uniform distribution.
2. Determine the range of the variables: X ranges from 0 to 2, and Y ranges from 0 to 1.
3. Calculate the area of the rectangle formed by these ranges: Area = (2 - 0) * (1 - 0) = 2.
4. Use the property that the total probability should equal 1: ∫∫f(x, y)dxdy = 1.
5. Since the distribution is uniform, f(x, y) = C, and the integral becomes ∫∫Cdxdy = C * Area.
6. Solve for C: C * Area = C * 2 = 1, therefore C = 1/2.

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complete question:

Consider the joint PDF of two random variables X, Y given by f x,y (x, y) = C, calculate the joint PDF of X and Y .

Answer:

\(\sqrt 255-30\)

= -14.0312805773

Answer:

\( \sqrt{255 - 30} \)

\( \sqrt{225} \)

\( \sqrt{15²} \)

=±15 is a required answer

Answer:

90

Step-by-step explanation: becuse i estimated

Answer:

Step-by-step explanation:http://www.warrenhills.org/cms/lib/NJ01001092/Centricity/Domain/350/mgm_c2_ch8_ret_tr.pdf

Answer:

im pretty sure its 56.25 cus 45= 80% of 56.25

Step-by-step explanation:

Answer:

A set is continuos if the values of the set can be any value in the given ranges

A set is discrete if the values of the set are finite and separate.

Than:

a) The weight of a puppy.

The weight of a puppy can be any value between 0 kg and a given maximum weight, then this is a continuous set.

b) The number of puppies in a litter.

Here we can have only whole numbers, for example, we can not have 7.34321 puppies in the litter, so this is a discrete set.

c) A person's temperature.

Temperature can be any value in a given range, so this is a continuous set.

d) The dress sizes of women.

Normally, there is a given set of dress sizes like s, l, xl, etc.

So in general, this is a discrete set. (While the actual "size" of a dress can take a lot more values than those ones, but this still is a discrete set)

In this problem, we are given a second-order linear differential equation with a sinusoidal forcing term. We are asked to find the particular integral, which represents the response of the system to the forcing term. Specifically, we need to determine the particular solution that satisfies the given equation.

To find the particular integral, we assume a particular solution in the form of yp = A sin(8t) + B cos(8t), where A and B are constants to be determined. This form of the particular solution matches the form of the forcing term, which is 4.5 sin(8t).

We substitute this assumed particular solution into the given differential equation and simplify the equation by taking the derivatives. Plugging the derivatives into the equation, we can solve for the constants A and B.

After solving for A and B, we substitute their values back into the assumed particular solution, giving us the final expression for the particular integral, yp.

The particular integral represents the response of the system to the sinusoidal forcing term, and by adding it to the complementary solution (the solution to the homogeneous equation), we obtain the complete solution to the differential equation.

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Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

5) Notice that angles 4 and 2 are corresponding angles, since FG is parallel to HJ then:

If m<2=45º, then by the transitive property we get:

7) Notice that angles 3 and 6 are aternating exterior angles, since FG is parallel to HJ then:

If m<6=135º then by the transitive property we get:

Answer:

(5)

(7)

Therefore, the area of the triangle is 4/9 cm².

Hoped this helped.

\(BrainiacUser1357\)

The probability of selecting two orange markers is 2/6 * 1/5 = 1/15.

What is non-replacement event?

Components that have not been altered typically have content that is present within the document, whereas elements that have been replaced typically have content that is present outside of the document.

Given that there are 3 green, 1 purple, and 2 orange markers.

Total number of markers is (3 + 1 + 2) = 6.

The probability of an event is the ratio of the number of outcomes of a favorable event to the total number of outcomes.

The probability that the first marker is orange is 2/6 = 1/3.

After picking the number of markers that left is (6 - 1) = 5.

The number of orange marker that left is 2 - 1 = 1.

The probability that the second marker is orange is 1/5.

The probability of selecting two orange markers is (1/3) × ( 1/5) = 1/15.

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Answer:

volume = 1134.6 cm³

Step-by-step explanation:

volume = 8.2 x 13.7 x 10.1 = 1134.6 cm³

There is a 3.8% chance that this baseball team will win the World Series.

If the sports book at the highroller Casino put the odds of a certain baseball team to win the World Series at 1:25, it means that for every one time the team wins, they will lose 25 times.

To calculate the probability, we need to use the following formula:

\(Probability = \frac{ Number of times the event will occur }{Total number of possible outcomes}\)

In this case, the number of times the team will win is 1, and the total number of possible outcomes is 1 + 25 = 26 (1 win + 25 losses).

Therefore, the probability of this baseball team winning the World Series is:

\(\frac{1}{26} = 0.038 or 3.8%\)
So, based on the odds given by the sports book, there is a 3.8% chance that this baseball team will win the World Series.

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A linear inequality seems exactly like a linear equation where the inequality sign is replaced by the equality sign.

Solution set is the dark region enclosed by both inequality equation shown in attached graph.

Given inequality are, \(y\leq 2x+7,y>-\frac{1}{3}x-2\)

By using graphing tool, draw graph of both inequality.

The dark region enclosed by both inequality equation shown in attached graph is solution set for given equation.

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Answer:

21 hours

Step-by-step explanation:

After 2 hours the temperature has risen to 7°f

The time taken to rise to an additional 13°f can be calculated as follows

1 hour takes 3.5°f

13°f = 3.5×6

= 21 hours

Hence it would take 21 hours

Answer:

True. Brainlyest plz

Answer:

b=40 I just took this quiz

Answer:b=40 a=100

Step-by-step explanato a line is 180 degrees, the outside of the triangle is 140 degrees so the inside must be 40 to make 180 and a is also 40 because the triangles sides are the same

to find a we now know that both angles on the bottom 40+40 will add up to 80 and to make a complete triangle we need 180 so the measure of a is 100 degrees

a=100

b=40

Answer:

It is $2400.

Step-by-step explanation.

let the total amount be x.

10% of x = $240

x= $240*100/10

total amount - $2400

Answer:

I dunno, maybe 2400?

Since 240 is only 10% of what Shanika wants so maybe 2400 dollars?

Step-by-step explanation:

i'm unsure if I'm correct but here's my answer now go try to help me with my homework like we bargained.

The other solutions are not viable because either they exceed the maximum number of hours Aisha can work (20 hours) or they do not meet the minimum amount Aisha needs to earn ($150).

If the ongoing research is successful, this approach might be an effective remedy. The only real way to resolve the problem is through negotiations between the military administration and the various opposition movements.

Part A: The correct system and graph to represent Aisha's situation is:

r + m ≤ 20 (maximum number of hours Aisha can work)

7r + 8.5m ≥ 150 (minimum amount Aisha needs to earn)

Part B: The viable solutions are:

r = 20, m = 0 (Aisha works only regular hours for 20 hours at $7 per hour)

r = 14, m = 6 (Aisha works 14 regular hours and 6 early morning hours at $7 per hour and $8.50 per hour, respectively)

r = 0, m = 18 (Aisha works only early morning hours for 18 hours at $8.50 per hour)

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The value of x which is the length of the base of the triangle in the question is; 29 meters

A triangle is a three sided polygon, with three interior angles.

Please find attached the possible diagram in the figure, (created with MS Word), which is a question from a mathematics textbook posted on the internet

The diagram indicates that the altitude or height of the triangle = 8 meters

The specified area of the triangle is; A = 261 square meters

The base length of the triangle = x

The formula for the area of a triangle, A, is; A = (1/2) ×Base length × Height

Therefore;

A = 261 m² = (1/2) × x × 18 m

x = 261 m² ÷ ((1/2) × 18 m) = 29 m

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The equation of the line that has a slope of 4/3 and passes through the point (0, -3) is: b.) y = (4/3)x - 3. Option B

To write the equation of a line that has a slope of 4/3 and passes through the point (0, -3), we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Where (x1, y1) represents the coordinates of the given point, and 'm' represents the slope.

Given:

Slope (m) = 4/3

Point (0, -3)

Substituting the values into the point-slope form:

y - (-3) = (4/3)(x - 0)

Simplifying:

y + 3 = (4/3)x

Rearranging the equation to the slope-intercept form (y = mx + b):

y = (4/3)x - 3

Thus, the equation of the line that has a slope of 4/3 and passes through the point (0, -3) is:

b.) y = (4/3)x - 3

Option a.) -3 = (4/3)x is not the correct equation because it is missing the variable 'y.'

Option c.) y = -3x + 4/3 has a different slope and does not pass through the given point.

Option d.) y = (4/3)x - 4 has the correct slope but does not pass through the given point.

Therefore, the correct answer is b.) y = (4/3)x - 3.

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Answer

6 months / the $30 ($5 per month) will be cheaper

Answer:

1) Six months

2) The second plan ($30 sign up fee, $5 per month)

Step-by-step explanation:

1) Six months

We can write an equation such as 30 + 5m = x, where m = months and x = total cost after a certain amount of months. If we know that the first plan costs $12 a month, we can find the LCM of 12 and 30 + 5m, which is 60. If we plug in 60 as m in the equation I showed, we'll get this:

30 + 5m = 60

Solve for x = 6.

2) The second plan

Write the first plan as an equation 12m = x, where m is months and x is the total cost after a certain amount of months. If we plug in 12 for m (since there's 12 months in a year), we'll get 12(12) = x, where x is equal to $144 after a year.

Write the second plan as an equation 30 + 5m = x, where m is months and x is the total cost after m months. Plug in 12 again so our equation looks like

30 + 5(12) = x. Solve for x and get $90 after a year.

Answer:

31

Step-by-step explanation:

Answer:

I think 141 is the answer

The set {a, b, c, d, e} equipped with the topology T = {{}, {a}, {a, b}, {a, b, c, d}, {a, b, e}, {a, b, c, d, e}} is a local base first countable space.

A local base first countable space is a topological space where each point has a countable local base. In this case, the set {a, b, c, d, e} with the topology T = {{}, {a}, {a, b}, {a, b, c, d}, {a, b, e}, {a, b, c, d, e}} satisfies this condition.

To explain further, a local base for a point x is a collection of open sets that contain x and any open set containing x must contain an open set from the local base. In this case, each point in X has a countable local base, which means that for each point, there exists a countable collection of open sets that satisfies this condition.

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Answer:

a: 2250. b: 1200. c: 5:2.3:2.7  d: 23.3%

Step-by-step explanation:

Sian gets 1/2 so 4500/2 = 2250

Anesha = 1050

Joanna = 2250-1050 = 1200

Answer:

-128.31

First choice

Step-by-step explanation:

Using a calculator:

7.05(−18.2) = 7.05 x -18.2 = -128.31

Answer:

3,696

Step-by-step explanation:

7x24x22 equals 3,696

24x7=168

168x22=3,696