Shane has 2 white shirts, 2 blue ones and 1 red one, He has gray pants and black pants. He hung them all up on hangers in his closet, but one shirt and a pair of pants fell on the floor. The probability that a red shirt and black slacks are on the floor is

Answer:

y = -3/5x - 3

Step-by-step explanation:

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The Least common multiple (LCM)  The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.

The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.

To find the LCM, we can list the multiples of each interval until we find a common multiple.

Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...

Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...

From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.

Thus, the two bells will ring together every 45 minutes.

If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.

Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.

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Answer:

43.6 has 3 significant figures.

Using a linear regression calculator

see the attached figure

please wait a minute

the equation is

Final answer

For y=670

substitute the value of y in the equation

670=-26.51x+834.95

solve for x

26.51x=834.95-670

26.51x=164.95

x=6.2 years

therefore

2003+6=2009

The graph of the function y = f(x + 16) is a transformation of the original function f. This transformation has shifted the graph of f to the right by 16 units on the x-axis. This means that the value of x in the original function has been increased by 16, which has an effect on the corresponding value of y in the transformed function.

For example, if the point (a, b) is on the graph of f, then the point (a + 16, b) will be on the graph of y = f(x + 16). The x-coordinate of the point has been increased by 16, and since the transformation is a horizontal shift, the y-coordinate remains unchanged.

In summary, the graph of y = f(x + 16) is a reflection of the graph of f about the vertical axis. The transformation has the effect of shifting the graph to the right, but preserving the shape and overall form of the original function.

Answer: Yes, your calculation of P(A1 OR A2 OR A3) is correct.

Step-by-step explanation: Your calculation of P(A1 OR A2 OR A3) is correct.

To calculate P(X=2), you can use the formula:

P(X=2) = P(A1 AND A2 AND NOT A3) + P(A1 AND A3 AND NOT A2) + P(A2 AND A3 AND NOT A1)

This is because to have precisely two defects, we need two events A1, A2, and A3 to occur and one not to occur.

You cannot simply sum the intersections P(A1 AND A2) + P(A2 AND A3) + P(A1 AND A3) and subtract P(A1 AND A2 AND A3) to get P(X=2), because this will overcount the cases where all three defects occur together.

Instead, you can use the formula above, and note that:

P(A1 AND A2 AND NOT A3) = P(A1 AND A2) - P(A1 AND A2 AND A3)

P(A1 AND A3 AND NOT A2) = P(A1 AND A3) - P(A1 AND A2 AND A3)

P(A2 AND A3 AND NOT A1) = P(A2 AND A3) - P(A1 AND A2 AND A3)

Substituting these into the formula, we get:

P(X=2) = (P(A1 AND A2) - P(A1 AND A2 AND A3)) + (P(A1 AND A3) - P(A1 AND A2 AND A3)) + (P(A2 AND A3) - P(A1 AND A2 AND A3))

which gives us the correct answer for P(X=2).

Answer:

Step-by-step explanation:

1 similar

2 not similar

3 similar

4 similar

5 not similar.

6 not similar

Answer:

Graph B on Edg

Step-by-step explanation:

Starts at 4 goes down to 2 then back up to 4

a) The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is any point on the line.

Given that the x-intercept is 11, we know that the line passes through the point (11, 0) on the x-axis. Similarly, given that the y-intercept is 6, we know that the line passes through the point (0, 6) on the y-axis.

Let's use (11, 0) as our point (x1, y1) and find the slope:

slope = (y2 - y1) / (x2 - x1) = (6 - 0) / (0 - 11) = -6/11

Substituting this slope and the point (11, 0) into the point-slope form, we get:

y - 0 = (-6/11)(x - 11)

Simplifying, we get:

y = (-6/11)x + 6/11

So the linear function in the form y - y1 = m(x - x1) is:

y - 0 = (-6/11)(x - 11)

And the linear function in the form y = mx + c is:

y = (-6/11)x + 6/11 (by simplifying the equation obtained from the point-slope form)

b) To find the equation of the line in slope-intercept form (y = mx + c), we need to find the slope and y-intercept of the line.

Given that the x-intercept is 11, we know that the line passes through the point (11, 0) on the x-axis. Similarly, given that the y-intercept is 6, we know that the line passes through the point (0, 6) on the y-axis.

Let's use the two points (11, 0) and (0, 6) to find the slope:

slope = (y2 - y1) / (x2 - x1) = (6 - 0) / (0 - 11) = -6/11

Now that we have the slope, we can use the y-intercept to write the equation in slope-intercept form:

y = mx + c

y = (-6/11)x + 6

So the linear function in the form y = mx + c is:

y = (-6/11)x + 6.

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Answer:

5280

Step-by-step explanation:

12% of 8000 = 960

960 x 5.5 = 5280

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1-Line- A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions.

2- Circle- A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called the “center”

3- Cardioid- a limacon with a pointed indent occurs when a=b.

4- Limacon with a loop- a limacon with an inner loop occurs when a is less than b.

5- Limacon without a loop- A Limacon graph could be said to resemble a lima bean. It takes the form of a circle with a dented side.

6- Lemniscate - A lemniscate is a polar graph taking the shape of a propeller or figure upright, at an angle, or on its side.

7-Rose Curves- One type of curve defined by a polar equation is a rose curve. The rose curve graph is often described as flower petals arranged around the pole. The petals are all congruent to each other and can have symmetry across the polar axis or the line θ=π/2

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Answer:

4 inches

Step-by-step explanation:

We can set up a proportion to find out the length value (assuming x is the length of the frame)

\(\frac{3}{x} = \frac{9}{12}\)

We multiply 12 and 3...

\(12\cdot3=36\)

And divide by 9...

\(36\div9=4\)

So, the length of the frame is 4 inches.

Hope this helped!

Answer:

Step-by-step explanation:

4 inches

The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

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The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

In the given problem, the inequality presented is;

y ≥ 2x - 5

To graph this, we would use a graphing calculator to find the boundary lines and plane.

In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.

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Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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Answer:

câu này là 500 nhen

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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The height that represents the middle 80 percent of the heights is 64.87 inches and 74.13 inches and this can be determined by using the given data.

Given :

The distribution of heights for adult men in a certain population is approximately normal with a mean of 70 inches and a standard deviation of 4 inches.

The heights that represent the middle 80 percent of the heights are:

P(-z < Z < z) = 0.80

P(Z < z) - P(Z < -z) = 0.80

P(Z < z) - (1 - P(Z < z)) = 0.80

2P(Z < z) = 1.80

P(Z < z) = 0.90

So, the value of z is 1.282.

Now, put the values of height as follows:

x1= 64.87

x2= 75.13

Therefore, the height that represents the middle 80 percent of the heights is 64.87 inches and 74.13 inches.

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Answer:

0.1536

Step-by-step explanation:

This is a binomial probability distribution with 2 successes in 4 trials.

The chance of a success is 1/5 =  0.2.

So there needs to be 2 successes and 2 failures in the 4 plays.

Reqd. Probability is 4C2*(0.2)^2(0.8)^2

= 0.1536.

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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Answer:

linear

Step-by-step explanation:

because they're are all in a vertical vay

Answer:

his weekly exercise time goal in minutes = 200 minutes

Step-by-step explanation:

Jerry has reached 39% of his weekly exercise time goal.

so far this week ,he has exercise for a total of 78 minutes this week.

39% of total = 78 minutes

100%= x

X=100*78/39

X=100*2

X= 200 minutes

his weekly exercise time goal in minutes = 200 minutes

25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes

what is percent  ?

A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".

In the given question,

Let's assume that there are 100 people in Math town.

60% of them are males, so there are 60 males and 40 females.

Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.

28% of the entire population have brown eyes, so there are 28 people with brown eyes.

To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:

28 - 18 = 10

So, there are 10 females with brown eyes.

Out of the 40 females in Math town, what percentage have brown eyes?

10 brown-eyed females out of 40 females is:

10/40 = 0.25 or 25%

Therefore, 25% of the females in Math town have brown eyes.

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The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation: