16. Points X, Y, and Z are collinear, and Y is
the midpoint of XZ. Find the value of b.

Answer:

41

Step-by-step explanation:

the pattern is +6 so the next few would be 23, 29, 35, 41, 47...

the ninth term would be 41

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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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:

[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.

Answer:

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

Step-by-step explanation:

Answer:

The cockroach is faster

Step-by-step explanation:

Answer:73.33

Step-by-step explanation:

The answer is 73.33 because 73.33 multiplied by 3 = 219.99

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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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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Answer:

X²+4X-5 without a reminder

Answer:

67 times

Step-by-step explanation:

33,500 divided by 500 is equivalent to 67

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 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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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:

Step-by-step explanation:

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

Answer:

m+n=x/p

p×(m+n)=(x/p)×p

x=pm+pn

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:

On the attached graph

Step-by-step explanation:

See attached graph

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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The original coordinates are R= (-6,-6) and S = (-4,0)

What is translation?

Translation in mathematics is a property in which we shift each coordinate on a line by a constant value.

We are given that we originally had a segment RS which is reflected over the line y = x and then translated by (x+3, y+4) after this the segment we get the coordinates are R'' (-1,4) and S( -3,-2)

We are asked to find the coordinates of R and S

To find the coordinates we first reverse the process we subtract 3 from both x coordinate and 4 from both y coordinate

Hence we get,

R' = (-1,4)-(3,4)

R' = (-4,0)

And

S' = (-3,-2)-(3,4)

S' = (-6,-6)

Now to find the original coordinates we reverse the coordinates

Hence we get,

R= (-6,-6) and S = (-4,0)

Therefore the coordinates are R= (-6,-6) and S = (-4,0)

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Answer:

200 at 9% simple interest for 2 years

Answer:

a

Step-by-step explanation:

Hope it helps and have a nice day!!!! :)

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:

x=0.3y

Step-by-step explanation:

( x )is new sales price

( y ) is the original price

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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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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Answer:

$24.50

Step-by-step explanation:

In order to predict the cost of an order with 6 boxes, x has to be equal to 6.

So we have to use the function 3.25x + 5 for [tex]x\geq 6[/tex].

Then, plug in 6 for x and solve.

3.25(6) + 5 = 19.50 + 5 = 24.50

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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