In the coordinate plane, the point X (-1, 0) is translated to the point X' (3, 1). Under the same translation, the points Y (2, 3) and Z (1, -2) are translated to Y' and Z', respectively. What are the coordinates of Y' and Z'?

Answers

Answer 1

The coordinates of Y' are (6, 4) and the coordinates of Z' are (5, -1).

To find the coordinates of Y' and Z', we need to apply the same translation that maps X to X'.

We know that the vector that connects X to X' is (3 - (-1), 1 - 0) = (4, 1).

So, to translate Y to Y', we add the vector (4, 1) to the coordinates of Y:

Y' = Y + (4, 1)

= (2, 3) + (4, 1)

= (6, 4)

Similarly, to translate Z to Z', we add the vector (4, 1) to the coordinates of Z:

Z' = Z + (4, 1)

= (1, -2) + (4, 1)

= (5, -1)

Therefore, the coordinates of Y' are (6, 4) and the coordinates of Z' are (5, -1).

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Related Questions

What is the perimeter of the regular pentagon?

Answers

Answer:

To find the perimeter of a regular pentagon, you need to know the length of one side and the number of sides. In a regular pentagon, all sides have the same length and the shape has 5 sides.

Let's say the length of one side of the regular pentagon is 's'.

The formula for the perimeter of a regular pentagon is:

Perimeter = 5s

This is because a regular pentagon has 5 sides of equal length, so you can simply add the length of each side together 5 times.

Therefore, the perimeter of a regular pentagon with a side length 's' is 5s.

Step-by-step explanation:

What type of pay is modeled below?
(See chart)

A. Piece rate
B. Hourly pay with no bonus
c. Commission pay
D. Hourly pay with a bonus

Answers

The type of pay modeled in the given image is c. Commission pay.

What is commission pay?

Commission pay is a form of variable pay where the employee is paid based on the percentage of sales that they make. In this case, the y-axis represents the pay earned and the x-axis represents the sales made.

The straight line represents the commission rate, which is constant at 15%. The more sales the employee makes, the more pay they will earn.

Therefore the correct option is C.

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Is this a parallelogram and why?

Answers

Answer:

Yes, it's a parallelogram bcz the opposite sides are parallel and equal.

HELPP ASAAP 15 POINTSSS

In the picture below\
in^3 (hint)

Answers

The volume of each cup shown above are as follows;

Volume of small cup = 50.24 in³.

Volume of medium cup = 127.56 in³.

Volume of large cup = 226.08 in³.

How to calculate the volume of a cylinder?

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.

By substituting the parameters, we have:

Volume of small cylinder, V = 3.14 × 2² × 4

Volume of small cylinder, V = 50.24 in³.

Volume of medium cylinder, V = 3.14 × 2.5² × 6.5

Volume of medium cylinder, V = 127.56 in³.

Volume of large cylinder, V = 3.14 × (6/2)² × 8

Volume of large cylinder, V = 226.08 in³.

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A local supermarket offers a pack of 12 sodas for $3.48 on sale, and the local discount warehouse offers the soda in a 36-can case for $11.52. Which is the better value?

Answers

If local supermarket offers a pack of 12 sodas for $3.48 on sale, and the local discount warehouse offers the soda in a 36-can case for $11.52, In terms of price per soda, the supermarket pack is the better value.

To determine which is the better value between the supermarket pack of 12 sodas for $3.48 and the discount warehouse 36-can case for $11.52, we need to calculate the price per soda for each option.

For the supermarket pack, the price per soda can be found by dividing the total cost by the number of sodas in the pack:

Price per soda = $3.48 / 12 = $0.29

For the discount warehouse case, the price per soda can be found by dividing the total cost by the number of sodas in the case:

Price per soda = $11.52 / 36 = $0.32

From these calculations, we can see that the price per soda is lower for the supermarket pack at $0.29 compared to $0.32 for the discount warehouse case. Therefore, in terms of price per soda, the supermarket pack is the better value.

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parallel and perpendicular line math homework

Answers

a. The slopes of the lines are:

Slope of line 1 = -5/2

Slope of line 2 = 7/5

Slope of line 3 = -5/2

b.

Line 1 and Line 2 : Neither

Line 1 and Line 3 : Parallel

Line 2 and Line 3 : Neither

Calculating the slope of lines

From the question, we are to determine the slope of each of the given lines:

Using the formula,

m = (y₂ - y₁) / (x₂ - x₁)

Where m is the slope

(-4, 7) and (-2, 2)

m = (2 - 7) / (-2 - (-4))

m = (-5) / (2)

m = -5/2

(0, -1) and (-5, -8)

m = (-8 - (-1)) / (-5 - 0)

m = (-7) / (-5)

m = 7/5

(-2, 8) and (2, -2)

m = (-2 - 8) / (2 - (-2))

m = (-10) / (4)

m = -5/2

b.

NOTE: Two lines are said to be parallel if they have equal slopes; and they are said to be perpendicular if the slope of one is the negative reciprocal of the other.

Thus,

Line 1 and Line 2 : Neither

Line 1 and Line 3 : Parallel

Line 2 and Line 3 : Neither

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Which expression represents the volume of a shipping box? s(2^3) (8 + 2)3 (8x2)3 8+23

Answers

As a result, the right response is s(23), which can be written as [tex]8s^3[/tex] as to calculate a shipping box's volume is based on the box's dimensions.

what is volume ?

A tri object's volume is a measurement of how much space it takes up. The usual measurement tool is a cubic unit, such as a cubic metre (m3) or cubic foot (ft3). The formula used to determine a solid item's volume depends on the shape of the object. For instance, the volume of a cube is determined by multiplying the length of a single of its sides by six, whereas the capacity of a cylinder is determined by dividing the area of its base by the diameter. Engineering, mathematics, and architecture are just a few of the disciplines where the idea of volume is crucial.

given

The formula used to calculate a shipping box's volume is based on the box's dimensions.

The box's volume can be expressed as follows if its side length is s:

[tex]V = s^3[/tex]

As a result, the right response is s(23), which can be written as [tex]8s^3[/tex] as to calculate a shipping box's volume is based on the box's dimensions.

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what principal will earn $55.99 interest at 9.75% from February 4, 2021, to July 6, 2021?

Answers

A principal of $1,380.89 will earn $55.99 interest at 9.75% from February 4, 2021, to July 6, 2021.

To calculate the interest earned by a principal at a given interest rate over a certain period of time, we use the following formula:

Interest = Principal x Rate x Time

In this case, we need to find the principal, so we can rearrange the formula as follows:

Principal = Interest / (Rate x Time)

First, we need to calculate the time period in years between February 4, 2021, and July 6, 2021.

February 4, 2021 to July 6, 2021 is 152 days or approximately 0.416 years (calculated as (July 6, 2021 - February 4, 2021) / 365).

Principal = 55.99 / (0.0975 x 0.416) = $1,380.89 (rounded to the nearest cent)

Therefore, a principal of $1,380.89 will earn $55.99 interest at 9.75% from February 4, 2021, to July 6, 2021.

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The estimated population of a certain city over time is given in the table below. Answer the questions below to determine what kind of function would best fit the data, linear or exponential.
Number of Years Since Last Census, x
1
2
3
4
Estimated Population, f(x)
49,372
58,207
66,998
75,798


function would best fit the data because as x increases, the y values change
. The
of this function is approximately
.

Answers

A linear function would best fit the data because as x increases, the y values change by an approximate constant. The rate of change of this function is approximately 8950 people a year.

How to determine that it is a linear function

To determine which type of function best fits the data, we can analyze the difference in the y values (Estimated Population) as x increases.

Differences between consecutive y values:

58,207 - 49,372 = 8,835

66,998 - 58,207 = 8,791

75,798 - 66,998 = 8,800

The differences between consecutive y values are relatively constant as x increases. This suggests that a linear function would be more appropriate than an exponential function

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. When completed, the Crazy Horse Monument in South Dakota will be 563 ft high. The monument is based on a 16-foot-tall scale model of the structure. What is the scale used in the construction?​

Answers

Based on the information, we identified that the scale used in the construction is approximately 1:35.2.

How to find the scale?

To find the scale used in the construction of the Crazy Horse Monument, we need to divide the height of the actual monument by the height of the model. Let's use the following formula to calculate the scale:

scale = (height of actual monument) / (height of scale model)

The height of the actual monument is 563 feet and the height of the scale model is 16 feet. Substituting these values in the formula, we get:

scale = 563 feet / 16 feet

Simplifying the fraction, we get:

scale = 35.1875

Therefore, the scale used in the construction of the Crazy Horse Monument is approximately 1:35.2.

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help struggling pealse if do brainliest!

Answers

Based on the data in the table, if Colin draws a marble 336 times, he predicts a yellow marble will be drawn roughly 63 times,  but probably not exactly 63 times.

Based on the data in the table, if Colin draws a marble 216 times, he predicts a white marble will be drawn roughly 2 times that a purple marble will be drawn.

What is the number of times the yellow marble can be drawn?

If Colin draws a marble x times, he predicts a yellow marble will be drawn roughly 63 times.

The number of times = 63 / 3/16)

The number of times = 336 times.

If Colin draws a marble 216 times,

Number of times he can draw a white marble = 216 * 1/4

Number of times he can draw a white marble = 54 times

Number of times he can draw a purple marble = 216 * 1/6

Number of times he can draw a purple marble = 36 times

The number of times a white marble can be drawn more than a purple marble = 54/36 or 1.5 times more

The number of times a white marble can be drawn more than a purple marble is approximately two times.

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Overview
Question Progress
1/3 Marks
11
12
13
14
Homework Progress
27/30 Marks
At a school there are five lessons in a day.
In total, the five lessons last for 4 hours.
a) Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?
Optional working
+ Answer:
b) In fact, the first lesson of the day is shorter than the other lessons.
The other lessons last the same amount of time.
What does this tell you about the length of the final lesson?
A It is shorter than the answer to part a)
B It is the same as the answer to part a)
C It is longer than the answer to part a)
minutes
Submit Answering

Answers

Time taken by final lesson is 48 minutes and time consumption will not be affected if first lesson takes less time to finish.

Given that;

The time to finish five lessons = 4 hours

Then one lesson takes = 4/5 hours to finish

(a) Since  each lesson takes equal amount of time

Therefore,

The time taken by final lesson in minutes = (4/5)x60

                                                                      = 48 minutes

(b) Since each lesson has own capacity of time so the time consumption for other lesson is not affected if first lesson takes less time.

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please help me with this question thank you

Answers

The difference between the adjustable-rate mortgage (ARM) and the  fixed-rate mortgage is $176,494.80.

How to find the difference ?

First, find the total amount paid on the adjustable-rate mortgage would be :
= ( 5 years x 12 months x 2, 506.43 payment ) + ( 10 x 12 x 3, 059. 46 ) + ( 5 x 12 x 3, 646.76) + ( 5 x 12 x 3, 630.65 )

=  $ 1, 172, 971. 20

Then we can find the total payment for the fixed - rate mortgage :

= Monthly payment x Number of years

= 2, 767. 99 x 30 years x 12 months

= $ 996, 476. 40

The difference is:

= 1, 172, 971.20 - 996, 476. 40

= $ 176,494. 80.

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100 Points!!! Algebra question. Find the third term of (11x+3y)^6. Photo attached. Please show as much work as possible. Thank you!

Answers

Answer: If you are trying to find the third derivative

It would be f'''(x)=159720(11x+3y)^3

Step-by-step explanation:

The third term of the given expression [tex](11x+3y)^6[/tex] is 135[tex]x^4y^2[/tex].

The binomial theorem states that [tex](a+b)^n[/tex] can be expanded as follows:

[tex](a+b)^n[/tex] = nC0*[tex]a^n[/tex] + nC1*[tex]a^{n-1[/tex]*b + nC2*[tex]a^{n-2[/tex]*[tex]b^2[/tex] + ... + nCn*[tex]b^n[/tex]

where nCk is the binomial coefficient, which is defined as n! / k!(n-k)!.

In this case, we have [tex](11x+3y)^6[/tex], so n = 6.

The third term of the expansion is given by nC2[tex]a^{n-2[/tex][tex]b^2[/tex], which is equal to 6C211[tex]x^4[/tex]3[tex]y^2[/tex].

6C2 is equal to 6! / 2!4! = 15, so the third term is equal to 1511[tex]x^4[/tex]3[tex]y^2[/tex] = 135[tex]x^4y^2[/tex].

Therefore, the third term of [tex](11x+3y)^6[/tex] is 135[tex]x^4y^2[/tex].

Here is a breakdown of the steps:

Find the binomial coefficient nC2.

Multiply nC2 by 11[tex]x^4[/tex] and 3[tex]y^2[/tex].

Simplify the expression.

The answer is 135[tex]x^4y^2[/tex].

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I need help figuring out this answer

Answers

The proof that angles D and E are congruent is added below

Proving that angles D and E are congruent

From the question, we have the following parameters that can be used in our computation:

∠CDB and ∠CEB are inscribed in a circle A.

The general rule is that angles that are inscribed in the same arc are congruent.

So, we have the following two column proof

Statements                                     Reasons

∠CDB = ∠CEB                                Given

Segments BD = CE                         CPCTC

Segments BE = CD                         CPCTC

Arcs BE = CD                                   Corresponding arcs

∠D = ∠E                                           Corresponding angles

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HELP!!!!!!!! Which system of linear equations can be solved using the information below?

Answers

The system of linear equations that can be solved from the matrices is given as follows:

-5x + 4y = 3.-8x + y = -6.

How to obtain the system of equations?

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

-5x + 4y = 3.-8x + y = -6.

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PLEASE SOLVE THIS QUICKLY!!!!!

Answers

The ratio of the two arc lengths is equal to a / b. (Correct choice: B)

How to find the ratio of two arc lengths

In this problem we must determine the ratio of two arc lengths, that is, the ratio between two circular arcs. The length of a circular arc is described by the following expression:

s = θ · r

Where:

s - Arc length

θ - Angle, in radians.

r - Radius

And the ratio of the length JK to the length MN is:

JK / MN = (θ · a) / (θ · b)

JK / MN = a / b

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What is the probability that
both events will occur?
First, find the probability of event A.
Two dice are rolled.
Event A: The first die is a 4 or less.
Event B: The second die is even.

Answers

The probability that both events A and B will occur is 1/3 or approximately 0.3333.

To find the probability of both events A and B occurring, we need to calculate the individual probabilities of each event and then multiply them together.

Event A: The first die is a 4 or less.

In a standard six-sided die, there are four outcomes (1, 2, 3, 4) that satisfy this condition. Out of the six possible outcomes, four are favorable, so the probability of event A is 4/6 or 2/3.

Event B: The second die is even.

In a standard six-sided die, there are three even outcomes (2, 4, 6) out of the six possible outcomes.

Therefore, the probability of event B is 3/6 or 1/2.

To find the probability of both events occurring, we multiply the probabilities of each event:

[tex]P(A and B) = P(A) \times P(B) = (2/3) \times (1/2) = 1/3[/tex]

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If there are 300 jellybeans in a container. You made a guess of 315 jellybeans. What is the percent error

Answers

Answer:

5%

Step-by-step explanation:

Percent error equation is:

(Absolute value of experimental value - actual value / actual value) * 100

Experimental Value: 315

Actual Value: 300

315 - 300 / 300 = 0.05

0.05*100 = 5

Percent error is 5%

Answer: the percent error is 5%

Step-by-step explanation:

Apply the repeated nearest neighbor algorithm to the graph above. Starting at which vertex or vertices produces the circuit of lowest cost?

Answers

The vertices that produces the circuit of lowest cost is A and D. So, the correct answer is A) and D).

To apply the repeated nearest neighbor algorithm, we need to start at a vertex and repeatedly choose the nearest neighbor until all vertices have been visited. Then, we return to the starting vertex to complete the circuit.

Starting at vertex A, we can follow the path A-DE-BE-C-AD-BC-E-A. The total cost of this circuit is 3 + 1 + 13 + 7 + 6 + 5 + 3 = 38. Starting at vertex B, we can follow the path B-E-DE-BC-AD-C-A-B. The total cost of this circuit is 1 + 3 + 7 + 6 + 5 + 15 + 10 = 47.

Starting at vertex C, we can follow the path C-BC-AD-DE-E-B-CA-C. The total cost of this circuit is 5 + 6 + 1 + 13 + 3 + 15 = 43. Starting at vertex D, we can follow the path D-AD-BC-C-E-DE-BD-DA. The total cost of this circuit is 6 + 5 + 7 + 3 + 10 + 11 = 42.

Starting at vertex E, we can follow the path E-DE-BE-C-BC-AD-CA-E. The total cost of this circuit is 1 + 13 + 7 + 5 + 6 + 15 = 47. Therefore, the circuits with the lowest cost are those starting at vertex A and vertex D, both with a total cost of 38 and 42 respectively. So, the correct option is A) and D).

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-3x+6y-2z=5 7x+2y+9z=19 -x+y-z=0

Answers

Answer:

x =  7, y = 3, z = -4

Step-by-step explanation:

If the number 48700 is written in scientific notation, it will be in the form 4.87×10n. What is the value of n?

Answers

If the number 48700 is written in scientific notation, it will be in form 4.87×10ⁿ, and the value of n is 4.

What is scientific notation?

Scientific notation describes the shorthand way of writing very large or very small numbers in standard forms.

Writing in scientific notation, a number between 1 and 10 is multiplied by a power of 10.

48700 = 4.87×10ⁿ = 4.87×10⁴

Thus, the n represents the exponent of power 10 to which the number is reduced.

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Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answers

Answer:

9ft

Step-by-step explanation:

From the left side, you know one length is 4ft abd the one below is 5ft, when you add them together its the answer of 9ft, which is the missing side.

it's 9ft

its 9ft because when you add 4 +5 you get 9. two rectangles a present in the diagram. the 4ft and 5ft are apart of the rectangle where the missing side is, adding those two together would give you 9 and in a rectangle sides facing each other are epual therefore the missing side is 9

3 The circles in the model represent positive and negative units.
O O O
оо
Which equation is true based on the model?
A (-3) + 5 = -2
B (-3) + 5 = 2
C -3+ (-5) = -2
D 3+ (-5) = 2
KEY
= 1
=-1

Answers

The equation is true based on the model is B) (-3) + 5 = 2.

If we consider the circles on the left as negative units and the circles on the right as positive units.

Then we can see that there are 5 positive units and 3 negative units, so the sum is

= 5 - 3

= 2.

Therefore, the correct equation is: B) (-3) + 5 = 2.

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A plane is flying at a speed of 360 miles per hour on a bearing of N * 65 deg * E Its ground speed is 390 miles per hour and its true course, given by the direction angle of the ground speed vector, is 30 deg Find the speed, in miles per hour, and the direction angle, in degrees, of the wind.

Answers

Answer:w = 74.66 mph

d = 19.92 degrees

Step-by-step explanation:

Let's call the speed of the wind "w" and the direction angle of the wind "d". We can use vector addition to solve for these unknowns.

First, let's find the direction of the plane. The bearing of N * 65 deg * E can be represented as a vector with an initial point at the North pole and a terminal point 65 degrees east of due north. Since the plane is flying on this bearing, its direction vector is the same as the bearing vector. We can find the components of this vector as follows:

cos(65) = x / 1

x = cos(65)

y = sin(65)

So the direction vector of the plane is <cos(65), sin(65)>.

Next, let's find the ground speed vector. We can represent this vector as the sum of the plane's airspeed vector and the wind vector:

ground speed = airspeed + wind speed

We know that the magnitude of the ground speed vector is 390 mph, and we know the direction angle of the ground speed vector is 30 degrees. We can use this information to set up two equations:

|airspeed + wind speed| = 390

tan(d) = (wind speed)_y / (wind speed)_x

Since we know the direction vector of the plane, we can express the airspeed vector in terms of this vector as follows:

airspeed = 360 <cos(65), sin(65)>

Now we can substitute the airspeed vector and the wind speed vector into the equation for the ground speed vector, and use the fact that the magnitude of the ground speed vector is 390 to solve for the components of the wind speed vector:

|360 <cos(65), sin(65)> + <(wind speed)_x, (wind speed)_y>| = 390

Squaring both sides and using the fact that cos^2(x) + sin^2(x) = 1, we get:

129600 cos^2(65) + 129600 sin^2(65) + 720(wind speed)_x cos(65) + 720(wind speed)_y sin(65) + (wind speed)_x^2 + (wind speed)_y^2 = 152100

Simplifying, we get:

51840 + 720(wind speed)_x cos(65) + 720(wind speed)_y sin(65) + (wind speed)_x^2 + (wind speed)_y^2 = 152100

Substituting the equation for the direction angle of the wind and simplifying, we get:

51840 + 720w cos(65 - d) + w^2 = 152100 tan^2(d)

We now have two equations and two unknowns: w and d. We can solve for them using algebra or a numerical solver. Using a numerical solver, we find:

w = 74.66 mph

d = 19.92 degrees

Therefore, the speed of the wind is 74.66 mph, and its direction angle is 19.92 degrees.

Edgar accumulated $7,000 in credit card debt. If the interest rate is 50% per year and he does not make any payments for 5 years, how much will he owe on this debt in 5 years by compounding continuously?

Answers

Using the continuously compounded interest formula, the amount of debt owed after 5 years is $ 8988.18

What is continous compounding interest formula?

The continuous compounding interest formula is given by P = Peⁿˣ where

P = final amount after time, t, P' = initial amount n = interest rate and x = time

Since Edgar accumulated $7,000 in credit card debt. If the interest rate is 50% per year and he does not make any payments for 5 years, how much will he owe on this debt in 5 years by compounding continuously? To determine that, we use the continuously compounded interest formula.

Given that

P' = $7000n = 50% per year = 0.5 per year andx = 5 years

Substituting the values of the variables into the equation, we have that

P = Peⁿˣ

P = $7000e⁰°⁵ ˣ ⁵

P = $7000e⁰°²⁵

P = $7000(1.28)

P = $ 8988.18

So, the amount of debt owed is $ 8988.18

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Pythagorean theorem - Missing sides


Pls help me I need your help to my homework

If you help me, I help you too I promise

Answers

The pythagorean theorem is: a^2+ b^2= c^2

C is the hypotenuse, and a and b are the other sides of the triangle. You can identify the hypotenuse of the triangle as it being the longest side, and the one opposite the right angle.

I see you have done Question 1 and Question 2 correctly, so I’ll start with Question 3.
(But with question 1, you did the working out slightly wrong but still managed to get the right answer?! That confuses me, but well done!)

Question 3:

The hypotenuse is 4 and the other side length is 3. You can tell the side length that’s 4 is the hypotenuse because it’s the longest side, and the one opposite the right angle.

a^2+b^2=c^2 (c is the hypotenuse)
a^2+3^2=4^2

So: a^2=4^2-3^2
a^2=16-9
a^2= 7
a= root of 7, or 2.6 to one decimal place.

Answer: 2.6 (to one decimal place)


Question 5:

12 is the hypotenuse and 5 is another side length.

a^2+b^2= c^2
a^2+5^2=12^2

So: a^2= 12^2-5^2
a^2= 144-25
a^2= 119
a= root of 119, or 10.9 to one decimal place

Answer: 10.9 (to one decimal place)



I’ll skip question 5, and cover question 6:
Question 6:

This time the side lengths are 5 and 2, and the hypotenuse is missing.

a^2+b^2=c^2
5^2+2^2=c^2
25+4=c^2
29=c^2
c= root of 29, or 5.4 to one decimal place

Answer: 5.4 (to one decimal place)


Try to do the rest of the homework by yourself, with this to help you! (Unless someone else finishes the rest for you)
If you want to get better at something, you have to practice lots, which is why I’m not doing all of it.

(sorry if I’m wrong on any!!)

:)


PLS HELP ASAP
I AM SO CONFUSED WID THIS!
The numbers 1-20 are written on pieces of paper and put in a box. Two pieces of paper are randomly selected and not replaced.

a) Are the events dependent or independent? _________

b) What is the probability of selecting a number less than 6 both times? ________

Answers

the probability of selecting a number less than 6 both times is 1/19 or approximately 0.0526.

how to find probability ?

a) The events are dependent because the selection of the first number affects the probability of selecting a number less than 6 on the second draw.

b) To calculate the probability of selecting a number less than 6 both times, we need to first find the probability of selecting a number less than 6 on the first draw and then the probability of selecting a number less than 6 on the second draw given that a number less than 6 was selected on the first draw.

The probability of selecting a number less than 6 on the first draw is 5/20, or 1/4, since there are 5 numbers less than 6 (1, 2, 3, 4, and 5) out of 20 total numbers.

Given that a number less than 6 was selected on the first draw, there are only 4 numbers less than 6 left in the box out of a total of 19 remaining numbers. So, the probability of selecting a number less than 6 on the second draw is 4/19.

To find the probability of both events occurring, we multiply the probabilities:

P(selecting a number less than 6 both times) = P(selecting a number less than 6 on the first draw) × P(selecting a number less than 6 on the second draw given that a number less than 6 was selected on the first draw)

P(selecting a number less than 6 both times) = (1/4) × (4/19) = 1/19

Therefore, the probability of selecting a number less than 6 both times is 1/19 or approximately 0.0526.

To know more about probability visit :-

https://brainly.com/question/30034780

#SPJ1

Which of the following points represents a striking deviation in the box plot above?
A.
P
B.
R
C.
S
D.
Q

Answers

Answer:

  A.  P

Step-by-step explanation:

You want to identify the point that represents a striking deviation in the given box plot.

IQR

The interquartile range for this box plot is the difference between the upper and lower quartiles:

  29 -26 = 3

Outlier

The "fence" that is 1.5 times the IQR below the lower quartile is ...

  26 -3·1.5 = 21.5

Point P lies beyond this fence, so is considered an outlier in the data set.

Point P represents a striking deviation, choice A.

<95141404393>

What is the surface area of a triangular prism

Answers

Answer:

surface area=bh+2ls+lb

Step-by-step explanation:

If you think it is too long to remember, just find the area of each of the shapes on it and add them together.

Hope this helps :)

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