Find MN such that LN = 5.7.

The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional.

Occurrence to determine the conditional probability. P(A and B) = P(A) * P if A and B are two Independent events (B).

How can you calculate the likelihood of two occurrences, A and B, coming together?

The probability of their union, or the event that either A or B occurs, is equal to the total of their probabilities less the sum of their intersection if two occurrences A and B are not disjoint. P(A) + P(B) - P(A and B) (A and B).

The answer is then (0.28 + P(B) - (0.51 = 0.23).

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1st question (the image):

y= -5/4x + 3/2

how to solve:

y=mx+b

b: where the line meets the y axis

3/2 is 1.5 which matches up perfectly with the graph

m: the direction of the slope

If you look where the line matches with a point and you go down -5 and go right 4 it matches up and thats why m = -5/4

2nd question (the text):

C) y = 3/4 x + 1/4

how to solve

draw a graph (up above)

y:mx+b

to find m: rise/run

find the first point (1,1) you have to go 3 points up and 4 points right to get to the next point

(5,4) and thats why m=3/4

b: where the link hits the y axis compare the answers and the graph and find the most resonable one... which is 1/4

The probability that you will make at least $1300 is 2/39 or 0.0513.

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

Using combinations, if there are 27 tasks available, then there are 351 combinations of two tasks assigned.

27C2 = 351

Also, count how many ways you could make at least $1300.

# ways = 2 of $1000 each or 1 of $1000 and 1 of $500

# ways = (3C2) + (3 x 5)

# ways = 3 + 15

# ways = 18

Solve for the probability by dividing the number of the desired outcomes by the number of total possible outcomes.

probability = desired outcome / total outcomes

probability = 18 / 351

probability = 2/39 or 0.0513

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In the given scenario, in order to calculate an 88% confidence interval, the z statistics that fall at each line marking the middle 88% of scores in the distribution would be +/- 1.555 (from the table).

Hence the z score = 1.5550

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A segment MN has endpoints M(-7.-6) and N(7,7). Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

___________________________

Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

5:2 means that it is divided into 7, and we do not move two positions from (7,7)

X axis

7- (-7) = 14

14/7 = 2

7-2*2 = 3

Y axis

7-(-6)= 13

13/7 =

7 - 2* (13/7) = 49/7 - 26/ 7 = 23/7 = 3 2/7

______________________________

Answer

(3, 3 2/7)

Answer:

                         8

3x² + 2x - 2 - ----------

                      3x + 8

Step-by-step explanation:

                 3x² + 2x - 2

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

3x + 8     |  9x³ + 30x² + 10x - 24

                 -9x³ - 24x²     ↓

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

                             6x² + 10x

                             -6x² - 16x    ↓

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

                                       -6x - 24

                                       +6x + 16

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

                                               -8

I hope this helps!

The fraction 1/ (x- 3/6) can be simplified in its simplest form as  6/(6x -3).

From the question  were given the expression as  1/ (x- 3/6) , which have the numerator as 1 and the denominator as  (x- 3/6) , then

the denominator can be expressed as

(x- 3/6)

which can be  simplified as :

(6x -3)/6

then we can place it back to the normal equation as 1/ (6x -3)/6, since the equation now appear in form of inverse function, Then this can be expressed by simplifying it as  6/(6x -3).

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The value of x is 10

From the diagram shown, we can see that it takes the shape of a   parallelogram

The properties of a parallelogram includes;

We can see that the diagonal bisects the parallelogram into equal halves and then the parallel and opposite sides are equal.

If the opposite sides of x = 10

Then, x = 10

Hence, the value is 10

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The elk population in 2014 will be 19,700 ,A population is an identified grouping of objects with the purpose of analysis and data collection.

A population is an identified grouping of objects with the purpose of analysis and data collection. Examples include people and animals. It comprises of a related collection of species that live in a specific area and have the ability to interbreed.

The population increased by 12,700-12,000 = 700 between the two measures, however, it did so over a period of 1 year, from 2004 to 2003. Divide 700 elk by 1

The elk population in 2014 will be 19,700We must first establish the method

2014=700 should add 10 times then we will get the 2014th year population.

so the population of 2014th will 19700

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According to the combination method, there are 6 ways for the selection to be made if one worker is to be a receptionist, one a secretary, and one a technical typist.

Combinations:

A combination is all about grouping. The number of different groups which can be formed from the available things can be calculated using combinations.

The standard form for calculating the combinations is,

[tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex]

where,

0 ≤ r ≤ n.

This formula is sometimes also called as ncr formula.

Given,

An executive hires 3 office workers from 8 applicants.

Here we need to find how many ways can the selection be made if one worker is to be a receptionist, one a secretary, and one a technical typist.

Here we have to split the problem like the following,

We know that the total number of office workers is 3.

Like, if one worker is to be a receptionist, the the combination is like,

So, the value of n = 3 and r = 1.

Then, according to the ncr formula,

=> ³C₁ = [tex]\frac{3!}{1!(3-1)!}[/tex]

=> 3!/1!2!

=> (3 x 2 x 1) / 1 x 2 x 1

=> 3

Similarly,  if one worker is to be a secretary,

Here the value of n = 2 (Because we have already select one person as receptionist) and r = 1

So,

=> ²C₁ = (2!)/1!(2-1)!

=> (2x1)/ 1 x 1

=> 2

Similarly,  if one worker is to be a technical typist,

Here the value of n = 1 (Because we have already select one person as receptionist) and r = 1

So,

=> ¹C₁ = 1

Therefore, the total number of possible ways are,

=> 3 x 2 x 1

=> 6

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A. The weight of the copies and the quantity of papers are proportional.

B. There is no proportion between the number of books and their weight.

Given,

A. All versions of the document are 8.5 by 11 inches in size.

We can readily determine the quantity of papers using direct proportion because all the paper has the same dimensions and weight.

As a result, the weight of the copies and the quantity of papers are proportional.

B. Each book has a distinct weight, as we know.

Since each book varies in weight, it is difficult to calculate the quantity of papers using a direct percentage.

Therefore, there is no proportion between the number of books and their weight.

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If arthur walks 3 km north, and then turns east and walks 4 km. The  distance traveled  is 7km and his displacement is 5km.

Distance traveled:

Distance traveled = Km north + East Km

Distance traveled  = 3 km + 4 km

Distance traveled  = 7 km

Displacement

Using  Pythagoras theorem to determine  or find the displacement

B² = A ²+AB²

B² = 3 ² +4 ²

B = 9+16

B = √ 25

B = 5 km

Therefore the 7km is the distance and 5km is the displacement.

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Answer: A square is a shape with four equal-length sides and four corners that are all right angles.

We will investigate the equal distribution of ribbon amoung her friends.

Isis has a ribbon for crafts for a certain length ( L ):

Isis has ( n ) number of friends amoung which she wants to equally distribute the length ( L ) of her ribbon:

Under the assumption of equal distribution we can divide the total length of ribbon ( L ) amoung Isis ( n ) of friends to determine what length ( l ) each friend got:

So each friend of Isis got a piece of 40 cm length of the ribbon. So the length of the ribbon accumulated for 5 friends would involves the direct multiplication of 5 number of friends and length of each piece ( l ):

Therefore, the answer to the question is:

The answer in interval notation is given by {96, ∞}.

An interval notation can be defined as a set of real numbers which comprises all of the real numbers that are representing a continuous function and lies between two set of numbers.

This ultimately implies that, an interval notation can be used as a technique for writing all of the subsets of the real number line.

Translating the given word problem into an inequality algebraic expression:

16 - s ≤ -80

Adding 80 to both sides of the expression, we have:

80 + 16 - s ≤ -80 + 80

96 - s ≤ 0

Rearranging the expression, we have:

s ≥ 96

Therefore, we have {96, ∞}.

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Complete Question:

Translate and solve: 16 more than s is at most -80.

Give your answer in interval notation.

Given:

One variety of gift wrappers sells for 50 cents a sheet the other for 25 cents a sheet.

In dollars,

One variety of gift wrappers sells for 0.5 dollars a sheet the other for 0.25 dollars a sheet.

The assortment will cost $7.

Let x be the number of 50 cents sheets.

Let y be the number of 25 cents sheets.

It is also given that,

The number of 50 cents sheets is 3 times the number of 25 cent sheets.

x=3y ........ (1)

0.5x+0.25y=7 ....... (2)

Substitute (1) in (2) we get,

Hence, x=3(4)

x=12

So, the number 50 cents sheets are 12 and the number of 25 cents sheet is 4.

A figure that shows line z intersecting plane R at point M could be like:

The plane is black, the line is red and the point is blue.

Answer:

Explanation:

To evaluate the difference:

First, rewrite the expression in the form below:

Next, factor out the powers of 10.

Thus, the difference written in scientific notation is:

Note: A number is in scientific notation if it is expressed as a product of a number (between 1 and 10) and a power of 10.

The statements about triangles FAD and DCE which are translations of triangle ABC include the following:

A. Points B, A, and F are collinear.

(B.) The measure of angle BCA is the same as the measure of angle CED.

C. Line AD is parallel to line BC.

(E.) The measure of angle DAC is the same as the measure of angle BCA.

Generally, there are four (4) main types of transformation and these include the following:

In Geometry, a translation can be defined as a type of transformation which moves every point of a geometric figure (object) in the same direction, as well as for the same distance.

Since triangles FAD and DCE both represent the translations of triangle ABC (see attachment), we can logically deduce the following information:

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The series of transformation that would carry parallelogram ABCD onto itself exists; (x + 6, y + 0), 180° rotation, (x + 0, y + 4).

The coordinates of the vertex of the parallelogram are;

A(-5, 1), B(-4, 3), C(-1, 3), and D(-2, 1)

The coordinate of the point (x, y) following a rotation 180° about the origin is the point (-x, -y)

Following a rotation of the parallelogram ABCD about the origin we get;

A'(5, -1), B'(4, -3), C'(1, -3), and D'(2, -1)

Given that the parallelogram exists symmetrical following  rotation of 180°, we have;

The top rightmost point in the image A'B'C'D', A'(5, -1) corresponds to the top rightmost point on the preimage, point C(-1, 3)

Similarly, we have;

Point B'(4, -3), corresponds to point D(-2, 1)

Point D'(2, -1), corresponds to point B(-4, 3)

The difference in the corresponding points are;

Difference in x-values = 4 - (-2) = 6

Difference in y-values = -3 - 1 = -4

Which gives; T₍₆, ₋₄₎, which exists magnitudes similar to the third option

Therefore; by (x + 6, y + 0), 180° rotation, (x + 0, y + 4), we have;

Adding 6 to the x-values before rotation gives;

A''(-5 + 6, 1), B''(-4 + 6, 3), C''(-1 + 6, 3), and D''(-2 + 6, 1)

A''(1, 1), B''(2, 3), C''(5, 3), and D''(4, 1)

Rotating 180° about the origin gives;

A'''(-1, -1), B'''(-2, -3), C'''(-5, -3), and D'''(-4, -1)

Adding 4 to the y-values gives;

A''''(-1, -1 + 4), B''''(-2, -3 + 4), C''''(-5, -3 + 4), and D''''(-4, -1 + 4)

A''''(-1, 3), B''''(-2, 1), C''''(-5, 1), and D''''(-4, 3), which are the coordinates of the image;

A''''(-1, 3) ⇔ C(-1, 3)

B''''(-2, 1) ⇔ D(-2, 1)

C''''(-5, 1) ⇔ A(-5, 1)

D''''(-4, 3) ⇔ B(-4, 3)

Therefore, the series of transformation that would carry parallelogram ABCD onto itself are;

The complete question is:

What series of transformations would carry parallelogram ABCD onto itself?

(x + 0, y − 6), 180° rotation, (x − 2, y − 2)

(x + 0, y − 6), 90° clockwise rotation, (x − 2, y − 2)

(x + 6, y + 0), 180° rotation, (x + 0, y + 4)

(x + 6, y + 0), 90° clockwise rotation, (x + 0, y + 4)

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Since the speed of the turbopropeller plane was 200 mph faster than the speed of the car, the speed of the turbopropeller plane is equal to 70 mph.

In order to solve this word problem, we would assign variables to the distance and speed of both Mattie's car and the turbopropeller plane, and then translate the word problem into algebraic equation as follows:

Translating the word problem into an algebraic equation, we have;

v₂ = v₁ + 200

Since Mattie and the turbopropeller plane travled at the same time, we have:

Time = distance/speed

Time = d₁/v₁ = d₂/v₂

Time = 140/v₁ = 540/v₁ + 200

Cross-multiplying, we have:

140(v₁ + 200) = 540v₁

140v₁ + 28,000 = 540v₁

Next, we would rearrange the equation by collecting like terms as follows:

540v₁ - 140v₁ = 28,000

400v₁ = 28,000

Speed of plane, v₁ = 28,000/400

Speed of plane, v₁ = 70 mph.

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SOLUTION

Carrie's credit card was stolen, she was charged $ 2,000

Hence carrier's is responsible for paying $2,000

Answer:

-7

Step-by-step explanation:

-7 is the greatest because it is closer to 0 on the number line.

The translation observed by shape A after reflection is

Translation refers to a linear movement used in describe repositioning of image during transformation

Transformation is the generally the repositioning of an image. Transformations are usually described in a cartesian plane for ease of comprehension.

The shape A after reflection had a new position. The new position was moved downwards, in the y direction by 2 units representing -2

The shape was further moved to the left 5 units in the x direction  representing -5

Hence we say that c = -5 and d =  -2

This describes the position of the image now labeled shape B

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Answer:

50 degrees

Step-by-step explanation:

Line CDF is 180 degrees

76 and 54 and some part of the 180 degrees

1. add 76+54 = 130

2. subtract 180-130 = 50

Answer:18

Step-by-step explanation:

Using equations the weight of both Sean and Brad is 156 lbs and 73 lbs.

So, the weight of Sean and Brad.

So, the equation will become:

x + 2x + 10 = 230

Now, solve this equation for 'x' as follows:

Rounding off: 73 lbs

Then,

Therefore, using equations the weight of both Sean and Brad is 156 lbs and 73 lbs.

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As a first step we are going to isolate y in both equations:

(1) y=7x-2

(2) -2y=-14x+3

y=7x-3/2

Since they have the same slope 7, that mean these lines are parallel

Answer:

24

Step-by-step explanation:

Hakeem is the oldest of three siblings who ages are consecutive integers. If the sum of their ages are 69, find Hakeem age.

It should be noted that:

= 22 + 23 + 24

= 69

Hakeem's age is 24