9. Use the following data. 15, 24, 32, 46, 46, 58. Match the measures on the left with the values on the right.
1. median
2. mode
3. mean
4. range
​

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

The triangles ABC and DBE are similar by the SAS similarity theorem

The measure of the side lengths AC is 16 units

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

The triangles ABC and DBE

These triangles have the following measures

This means that the triangles are similar by the SAS similarity theorem

Using the SAS similarity theorem, we have the following equation

(x + 1)/12 = (x + 5)/15

Cross multiply the equation

15x + 15 = 12x + 60

So, we have

3x = 45

Divide by 3

x = 15

This means that

x + 1 = 15 + 1 = 16

x + 5 = 15 + 5 = 20

Hence, the measure of the side lengths are 16 and 20 units

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Answer:

Below in bold.

Step-by-step explanation:

Dividing 4 by 9:

9)4.0000(0.444

   36

      40

       36

          40

           36

              4

So it's 0.444....      ( 0.4 recurring).

The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.

So, the probability of picking any color at random is

P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.

Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:

P(X ≥ 2) = 1 - P(X < 2).

The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.

Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

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SOLUTION

Step 1 :

This question is a good application of Intersecting Secant outside the circle.

In solving for x, we need to evaluate using the following :

CONCLUSION :

The value of x =

The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

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Answer: 118

Step-by-step explanation:

Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.

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Answer:

Richard works for $9 per hour

Step-by-step explanation:

Answer:

The answer is proportional. He makes 9$ an hour

Step-by-step explanation:

Your welcome

Answer:

Please see the attached picture for the full solution.

*From the 4th line of the 1st image, you could also expand it using

(a +b)²= a² +2ab +b² and

(a -b)²= a² -2ab +b².

When squaring a fraction, square both the denominator and numerator.

➣(a/b)²= a²/b²

Answer:

x = 21

y = 15

Step-by-step explanation:

3x - 16 + 6x + 7 = 180

3x + 6x - 9 = 180

9x = 180 + 9

9x = 189/9

9x/9 = 189/9

x = 21

6x + 7 = 11y - 32

6(21) + 7 = 11y - 32

126 + 7 = 11y - 32

133 + 32 = 11y

165 = 11y

11y/11 = 165/11

y = 15

Answer:

C

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Not needed

The coordinates of the centroid of the given triangle can be found by using the midpoint formula to calculate the coordinates of points P, Q, and R, and then taking the average of the x-coordinates and y-coordinates of these points.

The centroid of a equilateral triangle can be found by drawing the medians of the triangle. The median of a triangle is a line segment connecting a vertex of the triangle to the midpoint of the opposite side. The three medians of an equilateral triangle intersect at the centroid. In this scenario, the centroid of the given triangle is point G.

The midpoints of the sides of the triangle are points D, E, and F. The midpoints of the medians of the triangle are points P, Q, and R. The coordinates of the points can be found using the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints of the line segment.

The coordinates of the centroid, G, can be found by taking the average of the x-coordinates and y-coordinates of the midpoints of the medians. The x-coordinate of G is the average of the x-coordinates of P,Q, and R, and the y-coordinate of G is the average of the y-coordinates of P,Q, and R.

Finally, the coordinates of the centroid of the given triangle can be found by using the midpoint formula to calculate the coordinates of points P, Q, and R, and then taking the average of the x-coordinates and y-coordinates of these points.

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Complete question:

What is the area of the square with vertices \($d$, $p$, $q$\) ?

Answer:

It could be 0, is the question multiple choice?

a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)

The tall of the building is 175m and the baseball strikes the ground in 4.53 seconds, 195 ft/s.

Assume that the acceleration due to gravity is 10m/s2.  

The equation for the ball’s velocity in the downward direction is

v(t) = at + v₀.

Here

v₀=10m/s a=10m/s² v(t)=60m/s

Solving this for  t we get the:  

\(t =\frac{60m/s-10m/s}{10m/s^2}\\ \\t=\frac{50m/s}{10m/s^2}\\\)

t=5s

The total distance traveled will be  

\(x(t)=\frac{1}{2} at^2+v_{0} +x_{0}\)

Here x₀ = 0 and we get:

\(x(t)=\frac{1}{2} (10m/s^2)(5s)^2+(10m/s)(5s)\)

x=125m+50m

x=175m

The given values are:

u = 50 ft/s

h = 555 ft

g = 32 ft/s²

Let the time taken by the ball to reach the ground be t and the velocity of the ball as it hits the ground be v.

Use the third equation of motion

v²=u²+2as

v²=50²+2*32*555

v = 195 ft /s

Thus, the ball strikes the ground with a velocity of 195 ft/s.

Use the first equation of motion

v = u + at

195 = 50 + 32 t

32 t = 145

t = 4.53 second

Thus, the ball reaches the ground in 4.53 seconds.

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Using proportions, it is found that the expression that shows the total height of Grandma Maude’s cake is:

\(t = 12x^5 + 5x^3 - 2x\)

The rule of three is:

1 layer - \(2 + 3x^2\) cm

\(4x^3 - x\) layers - t cm

Applying cross multiplication:

\(t = (4x^3 - x)(2 + 3x^2) = 12x^5 + 5x^3 - 2x\)

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Answer:

12x5 + 5x3 – 2x cm

Step-by-step explanation:

Answer:

list

tan (A)=

A=

25=

22=

B=

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

"The mode is the value that appears most often in a set of data values."

So, if we look at this data, we can conclude that the mode is 74 because 74 appears 3 times (with 85 being second at twice).

74, 81, 39, 74, 85, 80, 100, 92, 74, and 85

\/

39, 74, 74, 74,  80, 81, 85, 85, 92, 100

           /\

        3 74's

Answer:

(1,0)

Step-by-step explanation:

The zero of the function is where it crosses the x axis ( where y=0)

x=1 where y=0

(1,0)

The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.

To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.

We shade the area where the circles for D and E overlap because the equation (D ⋃ E)  denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.

The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.

The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.

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Step-by-step explanation:

Xm = (-3+3)/2 = 0/2 = 0

Ym = (2-2)/2 = 0/2 =0

so, the midpoint (Xm, Ym) is (0 , 0)

Step-by-step explanation:

1) The question reads that

2(x+3)=20

So here we are finding x

We need to multiply the 2 by the ones in the bracket which is the (x+3)

So 2 multiplied by x is 2x

We didn't add the x and the 3 because a variable and a number can't be added, a number and a variable which is the letter can only be multiplied.

And then we also multiply 2 by 3 which is going to be;

2(3)

6

So it's going to be;

2x+6=20

So now, we group like terms;

2x=20-6(We have -6 because any positive number which crosses an equal sign becomes a negative and when a negative number crosses an equal sign it becomes a positive which is represented by +

2x=14

So now we subtracted 6 from the 20 giving us 14

So now we proceed to divide both sides by 2 to obtain the value of x

So 14 can be divided by 2,

7 times so;

x=7

2) So this question reads;

10x-3(2x+2)=30

With this we are also finding x

So here, we multiply the -3 by the 2x and the +2

So;

-3×2x=-6x

And

-3×2=-6

So now we have;

10x-6x-6=30

So here we can choose to group like terms of subtract the 6x from the 10x right away but grouping would be better so we are going to group which is going to be;

10x-6x=30+6

4x=36

So now we divide both sides by 4 to find the x

and 36 can be divided by 4, 9 times.

So;

x=9

w= 26.5 m

l = 87.5 m

1) Gathering the data

2p= 216

l = 3w +4

2) We can write the Perimeter as:

2P = 2(w+l) Plug into that the equations above

216 = 2(w +3w+4)

216 = 2(4w +4) Distribute the factor

216 = 8w +4

216-4 = 8w Flip it

8w = 212 Divide both sides by 8

w= 26.5

Since l = 3w +4

l = 3(26.5) +4

l= 87.5

3) So the width is 26.5 meters and the length is 87.5 meters long

A box plot is a standardized way of displaying the distribution of data based on a five-number summary (“minimum”, first quartile (Q1), median, third quartile (Q3), and “maximum”).

The points at the beginning and end of the graph show the outliers (minimum and maximum values).

The outer lines on the left and right of the box show the first quartile and third quartile respectively, while the line inside the box is the median.

From the question, the third quartile (Q3) is the outer line to the right of the box, and its value is 29.

Therefore, OPTION D (29) is correct.

Answer:

4y? or 2(exponet 2)y

Step-by-step explanation:

it is therefore 70 % that you or your friend win the election.

Note

45% = 0.45

25% = 0.25

In a case whereby baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets the amount of money in certificates the group receive is  $26.

If one baseball game receives 3 raffle tickets and a $2 certificate for the team store, then we can say that each raffle ticket is worth 2/3 dollars ($2 divided by 3 tickets).

So, for 39 raffle tickets, the group would receive (39 x 2/3) = $26

Therefore, the amount of money in certificates the group receive is  $26

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