Let a random variable X has a discrete uniform distribution over the first positive integer m. The pmf of X, is then defined as: f(x)= m
1
​
,x=1,2,…,m. The cdf F(x), of X is then given by: F(x)= ⎩
⎨
⎧
​
0
m
k
​
1
​
x<1
k≤x x≥m
​
Graph the F(x) for m=6.

Answer:

The Horizontal asymptote is y=-2. you should be able to figure out where to graph.

Step-by-step explanation:

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

you did not show the full question mate

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (6, 11)

d = \(\sqrt{(6+2)^2+(11+4)^2}\)

   = \(\sqrt{8^2+15^2}\)

   = \(\sqrt{64+225}\)

   = \(\sqrt{289}\)

   = 17 → A

Total number of cards is always 52 which has 4 jacks. In the given question we need to use the concept of probability.

The following steps are need to be followed:

1. First, let's identify some key information:
  - A standard deck has 52 cards, with 4 jacks (one of each suit).
  - You're drawing a card and then replacing it, which means each draw is independent and the probability remains constant.

2. Now, let's calculate the probability of drawing a jack on each draw:
  - P(Jack) = 4 jacks / 52 total cards = 1/13

3. Since you want to find the probability of drawing a jack 4 times in a row, we'll multiply the probability of drawing a jack on each draw:
  - P(All Jacks) = P(Jack) × P(Jack) × P(Jack) × P(Jack) = (1/13) × (1/13) × (1/13) × (1/13)

4. Simplify the probability:
  - P(All Jacks) = 1/28561

So the probability of drawing all 4 jacks when you pick 4 cards from a deck, replacing the card each time before picking the next card, is 1/28,561.

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Answer:

16p - 2

Step-by-step explanation:

Answer:

20p - 2

Step-by-step explanation:

To find a perimeter, you take the values of each side and add them together.

\((p-8)+(9p-7)+(p-8)+(9p-7)\)

\(p+9p+9p+p-8+7-8+7\)

\(20p-8+7-8+7\)

\(20p-2\)

The mean of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalie μ = 8.4 hours The standard deviation of the time taken by a mechanic to rebuild the transmission of 2005 Chevrolet Cavalier, σ = 1.8 hours.

The sample size, n = 40 We have to find the probability that their mean rebuild time exceeds 8.7 hours. We know that the sampling distribution of the sample means is normally distributed with the following mean and standard deviation.

We have to find the probability that the sample mean rebuild time exceeds 8.7 hours or Now we need to standardize the sample mean using the formula can be found using the z-score table or a calculator. Therefore, the probability that the mean rebuild time of 40 mechanics exceeds 8.7 hours is 0.1489.

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Answer:

1/8 cups per teaspoon

Step-by-step explanation:

5/8 cup sugar per 5 teaspoons of vanilla

(5/8 ) divide in 5 will give us how much per 1 teaspoon

(5/8)/5 = (5/8) * (1/5) = 5*1/ 8*5 = 1/8

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

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Answer:

5.6

Step-by-step explanation:

(2+3+5+7+11)/5

=5.6

Answer: 49 Miles

Step-by-step explanation:

You would add the original 15 miles to the 34 to get 49 in total.

49 Miles is how much you've walked.

There are 420 ways to select a committee of 4 people with at least 2 women.

To solve these problems, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by:

C(n, k) = n! / (k! * (n - k)!)

where "!" denotes the factorial function.

To select a committee of 4 people from a pool of 12 people, we can use the formula:

C(12, 4) = 12! / (4! * 8!) = 495

So there are 495 ways to select a committee of 4 people without any additional criteria.

To select a committee of 4 people with 2 men and 2 women, we can first count the number of ways to choose 2 men from the 5 men and 2 women from the 7 women. This gives us:

C(5, 2) * C(7, 2) = (5! / (2! * 3!)) * (7! / (2! * 5!)) = 10 * 21 = 210

So there are 210 ways to select a committee of 4 people with 2 men and 2 women.

To select a committee of 4 people with at least 2 women, we can count the number of committees with exactly 2 women, 3 women, or 4 women, and add them together.

The number of committees with exactly 2 women is:

C(7, 2) * C(5, 2) = 21 * 10 = 210

The number of committees with exactly 3 women is:

C(7, 3) * C(5, 1) = 35 * 5 = 175

The number of committees with all 4 women is:

C(7, 4) = 35

So the total number of committees with at least 2 women is:

210 + 175 + 35 = 420

Therefore, there are 420 ways to select a committee of 4 people with at least 2 women.

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Answer:

-18

Step-by-step explanation:

km

k= -3

m= 6

km = -3*6

km = -18

Answer:

The answer is -18.

Step-by-step explanation:

k×m

-3×6

-18

Answer:

The lift is safe to use.

Step-by-step explanation:

565-88 is 477. The life is safe when the weight is 480 or less.

Answer:

\(947\)

Step-by-step explanation:

Dividend =  Divisor × Quotient + Remainder

\(28 \times 33 + 23\)

\(924+23\)

\(=947\)

Answer:

The answer is 947

Simple random sampling is a sampling method that can be generalized to at least the population from which the sample was drawn.

Using simple random sampling, each component of the population has an equal probability and likelihood of being chosen. This sampling strategy is also frequently referred to as a method of chance since the selection of items in this case completely rests on chance or luck.

Simple random sampling is a simple sampling technique that is readily integrated into more sophisticated sampling techniques. Every sample has the same chance of being picked, which is the key characteristic of this sampling technique.

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Answer:

20n + 8

Step-by-step explanation:

Distribute the 4 to each term in the parenthesis:

4(5n+2)

(4)(5n) + (4)(2)

20n + 8

Answer: He bought 1 magazine and 3 comic books.

Step-by-step explanation: If comic books cost $1 and magazines cost $3, the equation for the problem should look like this: 2(m) + 1(c) = 5, since you know that the brother spent $5 in total. "m" represents the number of magazines purchased while "c" represents the number of comic books purchased. If you plug in 1 for "m" and 3 for "c", the equation would be true and would equal a total of $5. Also, 1 magazine and 3 comic books would mean that the little brother did, in fact, purchase 4 items.

Answer:a

Step-by-step explanation:

The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

Triangles can be inscribed in and circumscribed around circles, and circles can be inscribed in and circumscribed around triangles.

There are several relationships between triangles and circles, including:

Incenter: The incenter of a triangle is the center of the circle that is tangent to all three sides of the triangle.

Circumcenter: The circumcenter of a triangle is the center of the circle that passes through all three vertices of the triangle.

Orthocenter: The orthocenter of a triangle is the point where the altitudes of the triangle intersect. The circumcircle of a triangle passes through the orthocenter.

Inscribed angle: An inscribed angle of a circle is an angle whose vertex lies on the circle, and whose sides are chords of the circle. The measure of an inscribed angle is half the measure of the intercepted arc.

Tangent: A tangent to a circle is a line that intersects the circle at exactly one point. If a line is tangent to a circle at a point, then it is perpendicular to the radius at that point.

Similarity: If two triangles are inscribed in the same circle and share a common chord as a side, then they are similar.

These relationships have important applications in geometry and trigonometry, and can be used to solve problems involving triangles and circles.

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Answer:

x>-3/2

Step-by-step explanation:

Answer:

x > - \(\frac{3}{2}\)

Step-by-step explanation:

Given

- 3(x - 2) - 3x < 2x + 18 ← distribute parenthesis and simplify left side

- 3x + 6 - 3x < 2x + 18

- 6x + 6 < 2x + 18 ( subtract 2x from both sides )

- 8x + 6 < 18 ( subtract 6 from both sides )

- 8x < 12

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x > \(\frac{12}{-8}\) , that is

x > - \(\frac{3}{2}\)

No, u is not in the plane spanned by the columns of A.

To check if u is in the plane spanned by the columns of A, we first need to construct the augmented matrix of the system A · x = u, where x is the vector of unknowns. The augmented matrix is:

[−5 9 | 26 4 −2]

The reduced row echelon form of this augmented matrix is:

[1 0 | 2 -1]

This is an inconsistent system,the reduced row echelon form of the augmented matrix is , which is an inconsistent system so it does not have any solutions. This means that u cannot be written as a linear combination of the columns of A, so it is not in the plane spanned by the columns of A.

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the answer would be h<20 i believe

Step-by-step explanation:

because she works less than 20 hours

Answer:

55

Step-by-step explanation:

55

The critical value zα/2 for a level of confidence of 92% can be found as follows: In general, the confidence interval for the population mean is given by:\($$\large\bar x \pm z_{\frac{\alpha }{2}}\frac{\sigma }{\sqrt{n}}$$\) Where, \(\(\bar x\)\) is the sample meanσ is the population standard deviation (if known) or the sample standard deviation is the sample size\(\(z_{\frac{\alpha }{2}}\)\)is the critical value that corresponds to the level of confidence α.

We need to find\(\(z_{\frac{\alpha }{2}}\)\) for a 92% confidence interval. The area in the tail of the normal distribution beyond zα/2\(zα/2\)  is equal to \((1 - α)/2\) . Thus, for a level of confidence of 92%, the area in the tail of the distribution beyond\(zα/2\)is\((1 - 0.92)/2 = 0.04/2 = 0.02\) .

Therefore, the critical value\(zα/2\) that corresponds to a 92% confidence interval is\(z0.04/2 = z0.02 = 1.75\) . Hence, we have\(:$$\large z_{\frac{\alpha }{2}}= z_{0.02} = 1.75$$\) Thus, the critical value \(zα/2\)  that corresponds to a confidence level of 92% is 1.75.

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