PLS ANSWER THIS Solve the following system of equations for all three variables.

The correlation coefficient of points is a negative correlation.

The given coordinates are (1, 9), (2, 7), (3, 6), (4, 1), (7, -2),(8, -5) and (10, -8).

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

• A scatter plot with increasing values of both variables can be said to have a positive correlation.

• A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.

The given coordinate points are plotted on graph.

From the graph (scatter plot) we can see that, the points have a negative correlation.

Therefore, the correlation coefficient of points is a negative correlation.

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Answer: 38.75 hours

Step-by-step explanation: so one thing real quick, you said “A painter worked 7 3/4 hours per hour” that’s not possible so instead I’m guessing you meant 7 3/4 hours per day.

Turn 7 3/4 hours into 7.75 hours then it’s simple, you multiply 7.75x5! You get 38.75 hours!

Answer:

38 3/4

Step-by-step explanation:

7 3/4 times 5 =

7 3/4 = 31/4

31/4 times 5 = 155/4

= 38 3/4

The number of days it take the same number of signature will be 2 days.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Vivian has 18 signatures, and Kyle has 14.

Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day.

Now,

Since, Vivian has 18 signatures, and Kyle has 14.

And, Vivian is collecting signatures at an average rate of 1 per day, whereas Kyle is averaging 3 signatures every day.

Let number of days it take the same number of signature = x

So, We can formulate;

⇒ 18 + x = 14 + 3x

Solve for x as;

⇒ 18 + x = 14 + 3x

⇒ 18 - 14 = 3x - x

⇒ 4 = 2x

⇒ 2x = 4

⇒ x = 2

Thus, The number of days it take the same number of signature will be 2 days.

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The effect of eliminating the lowest value, 0, from the data set have on the mean and median of the data set is;

The mean of a given data is the sum of all observations divided by the number of observations

The median of a given set of data refers to the middlemost observation, obtained after arranging the data in ascending or descending order.

Given data:

0, 40, 60, 70, 75, 80, 85, 95, 95, 100

a) Mean without '0' = (40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100) / 9

= 700/9

= 77.777

Median without '0' = 40, 60, 70, 75, 80, 85, 95, 95, 100

= 80

Mean with ' 0' = 0+ 40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100 / 10 = 70

Median with '0' = 0, 40, 60, 70, 75, 80, 85, 95, 95, 100

= (75 + 80) / 2

= 77.5

So therefore,

Difference in mean = Median without '0' - Mean with ' 0'

= 77.77 - 70

= 7.7

Difference in median = Median without '0' - Median with '0'

= 80 - 77.5

= 2.5

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A 12-ounce can of beer contains the same amount of alcohol as a five-ounce glass of wine.

In a five-ounce glass of wine, the percentage of alcohol is 12%, which is the same in the 12-ounce can or bottle of beer, and 1.5 ounces of 86-proof liquor. Although a person under the influence of alcohol will have impaired judgment and therefore must avoid driving, doesn't matter what kind of alcoholic beverage they drink. Digestion of alcohol doesn't take place as soon as you drink it, it is absorbed in your bloodstream which reaches the brain and thus creates impaired judgment.

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Answer:

x=0.3y

Step-by-step explanation:

( x )is new sales price

( y ) is the original price

The length of each wire is 12.8 feet

The television antenna makes an angle 90 with the ground

The height of the antenna is 10 feet

The wires are anchored to the base which is 8 feet

We need to calculate the length of the wires

The height of the wire can be calculated by using pythagoras theorem

h² = b² + p²

h² = 8² + 10²

h² = 64 + 100

h = √164

h = 12.8

Therefore, the length of each wire is 12.8 feet

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Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} *\frac{9}{5} =\frac{18}{15} =\frac{6}{5}[/tex]

The value of the product of 2/3 × 9/5 is 6/5.

In the given question, we have to attempt fraction multiplication.

For fraction multiplication, we simply multiply the respective numerators and denominators with each other.

Here, in 2/3 × 9/5 ⇒ 18/15 (since 2×9=18) (since 3×5=15)

Now, since we can see that both the numerator and denominator in the solution can get divided by 3, we can simplify the fraction by dividing both the numerator and denominator by 3.

On dividing by 3, we get ⇒ 6/5

So, on multiplying 2/3 and 9/5, we get 18/15 which we later simplify into 6/5.

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The total number of points scored by the other 7 team members in Euclid high school's last basketball game is 11.

For the given question.

Let 't' be the total points scored.

Alexa = 1/4 t.

Brittany = 2/7 t

Chelsea = 15

Let 'x' be the points scored by remaining 7 team.

Thus, the two variable equation becomes.

1/4 t +  2/7 t + 15 + x = t   .....eq 1

Where, x ≤ 14 ( for 7 terams)

Simplifying eq 1.

15 + x = 13/ 28 t

28x + 28 = 13 t

Now, t must be divisible by 28.

Let t = 28 u, u ≥ 0 and divisible by 28.

Thus,

x + 15 = 13u.

Then, u = 2( t = 56) has been the only candidates for which x = 11.

Thus, the total number of points scored by the other 7 team members is 11.

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The required expression for the fenced region is lw = 650.

Given that,
A homeowner wants to fence in a rectangular space in her yard along one side of her house for her dogs. the total area she can fence in is 650 square feet.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Let the length of the area be l and the width of the area be w,
The total area she can fence in is 650 square feet.
lw = 650

Thus, the required expression for the fenced region is lw = 650.

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The coordinates of the preimage given in the image below and the composition of a rotation 180 about the origin and a translation 3 units up are: (2, -3), (3, 1), and (-5, 0).

In Geometry, the rotation of a geometric figure 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

From the graph of the image of triangle A'B'C', we have the following coordinates and they would be reversed to obtain the coordinate of triangle ABC before a translation:

(-x, -y)                              →               (x, y)

Points at A' = (-2, 5)        →              Points at A = (2, -5)  

Points at B' = (-3, 1)          →             Points at B = (3, -1)

Points at C' = (5, 2)           →             Points at C = (-5, -2)

Next, we would apply a translation of 3 units up:

Points at A = (2, -5)      →     (2, -5 + 2) = (2, -3)

Points at B = (3, -1)       →     (3, -1 + 2) = (3, 1)

Points at C = (-5, -2)     →     (-5, -2 + 2) = (-5, 0)

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Answer:73.33

Step-by-step explanation:

The answer is 73.33 because 73.33 multiplied by 3 = 219.99

Answer:

The cockroach is faster

Step-by-step explanation:

Events A and B are non-overlapping. Option(2) is correct.

When two sets A and B have at least one element in common, they are said to be overlapping.

The sets of photographs that don't overlap are the sets where no two pictures (correctly) don't overlap. They are the expansion of the cross-bifix-free sets of strings to two dimensions is called non-overlapping.

A red die and a blue die are rolled.

Assume that Event A is receiving the number 9.

Event B: You receive a double.

Whether events A and B overlap or not is what we want to determine.

When two red dice and two blue dice are thrown, a sample space is then provided by,

S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5),(3,6), (4,1), (4,2), (4,3), (4,4),(4,5),(4,6) (5,1), (5,2), (5,3), (5,4),(5,5),(5,6),(6,1), (6,2),(6,3)(6,4),(6,5),(6,6)}

The two dice are rolled, and there are a total of 36 outcomes.

n(S)=36

Assume that Event A is receiving the number 9.

The probable results for A = (3,6), (4,5), (5,5), (5,6), (6,3)

And let's say that you receive a double in Event B.

The events that may occur if B=(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)

We can observe that the two events are distinct from one another since there is no overlap in the potential outcomes of the two events.

Therefore events A and B are non-overlapping

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The expression equates to R = 926.19

An equation is a relation equating two mathematical expressions. For example -

2x + 4 = 5x + 7

We have -

R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]

We have the following equation -

R = 21000([0.052/4]/[1+0.052/4]²⁰ - 1]

R = 21000([0.013/(1.013)²⁰ - 1)

R = 21000([0.013/(1.29475890663 - 1)]

R = 21000(0.0441038411650727)

R = 926.1806644665257

R = 926.19

Therefore, the expression equates to R = 926.19

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Answer:

y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )

m = [tex]\frac{3-1}{6-(-2)}[/tex] = [tex]\frac{2}{6+2}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex] , then

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 3 ) , then

3 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 3 - [tex]\frac{3}{2}[/tex] = [tex]\frac{3}{2}[/tex]

y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ← equation of line

Answer:

Step-by-step explanation:

The first arithmetic sequence would be -12, -15, -18, -21. The second sequence would be 12, 9, 6, 3.

Answer:

67 times

Step-by-step explanation:

33,500 divided by 500 is equivalent to 67

Answer:

x_6x=21_15_3x/. x+6x=21+15+3x

Step-by-step explanation:

Answer:

On the attached graph

Step-by-step explanation:

See attached graph

Marsha deposited $5500 into savings with 5% interest rate

1st year, Marsha will earn : [tex]0.05 \times 5500 = 275[/tex]

2nd year, Marsha will earn: [tex]0.05 \times 5775 = 288.75[/tex]

3rd year, Marsha will earn: [tex]0.05 \times 6063.75 = 303.19[/tex]

4th year, Marsha will earn: [tex]0.05 \times 6366.94 = 318.35[/tex]

The probability that exactly one of the accessories, be 0.678

The probability that exactly two of the accessories, be 0.11

The probability that at least one of the accessories, be 0.884

The probability that at least two accessories, be 0.206

The probability that at most one of the accessories, be 0.794

The probability that at most two of the accessories, be 0.904

The probability that a case or a warranty, but not both be, 0.726

The probability that a case but neither of the other two accessories be, 0.634

The probability that a warranty and a dock but not a case be, 0.018

Given, a computer store compiled data that 500 purchasers of new tablets bought at the same time they bought the tablet.

Let A be the set of purchasers we bought cases,

B be the set of purchasers we bought extended warranty,

C be the set of purchasers we bought dock,

Now, A = 411 , B = 82 , C = 100

also, A∩B = 65 , B∩C = 57 , A∩C = 77 and A∩B∩C = 48 , A'∩B'∩C' = 58

(a) the probability that exactly one of the accessories, be

P(A)-P(A∩B)-P(A∩C)+P(A∩B∩C) + P(B)-P(A∩B)-P(B∩C)+P(A∩B∩C) + P(C)-P(C∩B)-P(A∩C)+P(A∩B∩C) = 411-65-77+48+82-57-65+48+100-57-77+48

= 339/500

= 0.678

(b) the probability that exactly two of the accessories, be

P(A∩B)+P(B∩C)+P(A∩C)-3P(A∩B∩C) = 65+57+77-48-48-48

= 55/500

= 0.11

(c) the probability that at least one of the accessories, be

who bought 1 or 2 or all 3 accessories be,

= 0.678 + 0.11 + 0.096

= 0.884

(d) the probability that at least two accessories, be

who bought 2 or all 3 accessories be,

= 0.11 + 0.096

= 0.206

(e)  the probability that at most one of the accessories, be

who bought nothing or one accessories be,

= 0.116 + 0.678

= 0.794

(f) the probability that at most two of the accessories, be

who bought nothing or 1 or 2 accessories be,

= 0.116 + 0.678 + 0.11

= 0.904

(g) the probability that a case or a warranty, but not both

= 0.822 + 0.164 - 0.26

= 0.726

(h) the probability that a case but neither of the other two accessories

=  0.634

(i) the probability that a warranty and a dock but not a case

= 0.018

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Answer:

[tex]\frac{7}{11}[/tex], [tex]\frac{7}{9}[/tex], [tex]\frac{7}{8}[/tex]

Hope this helps!

Step-by-step explanation:

One way to find this out is by just plain dividing the numbers, 7 ÷ 11 is 0.636363..., 7 ÷ 9 is 0.7777777..., and 7 ÷ 8 is 0.875. 7/11 is the smallest of all of them, then 7/9, and then 7/8.

For the given coordinates of the vertices of trapezoid EFGH and E'F'G'H' the following statement is true and explain the relationship correctly :

"Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′.

trapezoid E F G H, is not congruent to , trapezoid E prime F prime G prime H prime, because there is no sequence of rigid motions that maps , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime,"

As given in the question,

Trapezoid EFGH with coordinates of  vertices:

E(−8, 8), F(−4, 12), G(−4, 0), and H(−8, 4).

Trapezoid E'F'G'H' with coordinates of  vertices:

E′(−8, 6), F′(−5, 9), G′(−5, 0), and H′(−8, 3).

First option is not correct as there is no translation.

Third, Fourth, and Fifth options are not correct as both the trapezoids are not congruent.

Only option second describe it correctly which is:

Both the trapezoid are not congruent as there is no sequence of rigid motion that maps EFGH to E'F'G'H'.

Therefore, for the given coordinates of the vertices of trapezoid EFGH and E'F'G'H' the following statement is true and explain the relationship correctly :

"Trapezoid EFGH is not congruent to trapezoid E′F′G′H′ because there is no sequence of rigid motions that maps trapezoid EFGH to trapezoid E′F′G′H′.

trapezoid E F G H, is not congruent to , trapezoid E prime F prime G prime H prime, because there is no sequence of rigid motions that maps , trapezoid E F G H, to , trapezoid E prime F prime G prime H prime,"

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There will be infinite number of states and paths when the state space is (x,y) as the state space (i.e., a set of possible locations for the robot) consists of all possible positions (x, y) in the plane.

The collection of every possible setup for a system is its state space. It is a common abstraction in the study of artificial intelligence and game theory because it can be used to reason about the behavior of a specific system. A state space is typically introduced into a system description without being given any thought to its precise physical meaning. However, it is well known that choosing an appropriate state space representation makes it simpler for us to comprehend or control a system's property.

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Answer:

m+n=x/p

p×(m+n)=(x/p)×p

x=pm+pn