MATHEMATICAL CONNECTIONS

The two polygons are similar. Find the values of x and y.
X
- 73)
116
61°
6
116
5
X=
y =

Answer: 3/50

Step-by-step explanation: add up 117 + 24 + 9 = 150

Then do 9 (the number of people who purchased more than one art work) (written as a fraction) over 150

Then simplify 9/150 to 3/50

Answer:

6 / 23

Step-by-step explanation:

The question is not correct, the correct question is:

Leila is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 6:17. Find the probability of Leila receiving a gift.

Solution:

Odds provide a measure of the likelihood of a particular outcome occurring. Odds is the ratio of the number of events that produce that outcome to the number that do not.

The probability of an event occurring is the ratio of number of favorable outcomes to the total number of outcomes possible.

Given that the odds in favor of receiving a gift are 6:17. Therefore:

number of favorable outcome = 6, number of unfavorable outcome = 17

Total number of possible outcomes = 6 + 17 = 23

The probability of Leila receiving a gift = number of favorable outcome / Total number of possible outcomes  = 6 / 23

The probability of Leila receiving a gift = 6 / 23

Answer:

3+3 and 2(3)

Step-by-step explanation:

3+3 and 2(3)

Answer:

yes

Step-by-step explanation:

x+3 = 6 if X is 3

2x = 6

2(3) = 6

so the statement is correct

Answer:a.c,d

Step-by-step explanation:

Answers:

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

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

Explanations:

1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.

1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

Therefore, we can predict that when x is 21, y is 20.

1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

Therefore, we can predict that when y is 150, x is -18.

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

2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:

Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.

Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.

Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.

2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

Answer:

B)

Step-by-step explanation:

y-intercept = -2

slope = 1

in slope-intercept form the line would be:  y = x - 2

if we subtract 'x' from each side we get:

-x + y = -2

we don't want to leave 'x' as negative so we can multiply each term by -1 to get:

x - y = 2

Answer:

30(0.5b+3.75)

Step-by-step explanation:

if b is beads and 0.50 is the price of a bead, you have to multiply the two together. The beads and 3.75 go together bc that's all for 1 necklace. The 30 multiplies all of them bc it's 30 necklaces

Answer:

A

Step-by-step explanation:

Hope this helps u :D

Answer:

2

Step-by-step explanation:

First off, the slope of f(x) is -4.  It is in the form y=mx+b and m=-4.

For g(x), the slope can be calculated from any two points given.  I willuse (1,9) and (3,21) because I like positive numbers.  So, slope is rise over run and it is calculated from (y1-y0)/(x1-x0)  This gives me (21-9)/(3-1) which is equal to 6.  So adding the two slopes: 6+ (-4)=2

Answer:

-12/13

Step-by-step explanation:

Given,

-8/13+(-4/13)

=-8/13-4/13

=-12/13

Answer:

18.44 ..... hope this helps

Step-by-step explanation:

V=

4

3

π

r

3

Solving forr

r=

3

V

4

π

⅓

=

3

26244

4

π

⅓

≈

18.43517

Answer:

C

Step-by-step explanation:

All points of the figure are in Q1. Rotating about the origin 180° clockwise puts the figure in Q3, which has -x and -y coordinates.

Step-by-step explanation:

=400-[200-{35+15-70(4)}]

=400-[200-{35+15-280}]

=400-[200-{50-280}]

=400-[200-{-230}]

=400-[200+230]

=400-430

=-30 Ans

Answer:

that is a right triangle.

Step-by-step explanation:

if you do not know, then the square on the corner means 90 degrees. which is a right angle. acute angle means less than that square, and obtuse means over the square. (less and over 90 degrees)  

Answer:

65 degrees

Step-by-step explanation:

Answer:

1. obtuse angle 105 degrees

2. acute angle  60 degrees

Step-by-step explanation:

Answer:

7pi/6, 11pi/6

Step-by-step explanation:

WRONG! edge 2021, its A, not BBBBBBB

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

WRONGGGG the answer is NOT BBBBB it is AAAA

Step-by-step explanation:

THE ANSWER IS AAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Answer:

0.2

Step-by-step explanation:

Convert the walking to percent

[tex]\frac{1}{2} \times 100 = 50[/tex]

Add both skateboarding and walking

[tex]30\% + 50\%\\\\= 30 + 50\\\\= 80[/tex]

Now, subtract that from a whole percent

[tex]100 - 80 = 20\\\\20\%[/tex]

Convert it to a decimal

[tex]20\% = \frac{20}{100} \\\\=20 \div 100\\\\= 0.2[/tex]

Therefore, in decimal, 0.2 is the number that shows the portion of the distance Sandy skips.

Answer:

12/18

Step-by-step explanation:

Answer:

So If you start with sinØ = .5

your calculator is programmed to always give the closest angle to 0, and that would be 30°

You probably used the cosine law to find the first angle. A suggestion is to always find the largest angle first. If that happens to be an obtuse angle, your calculator will find the correct angle.

Of course there can only be one obtuse angle in a triangle, so using the sine law for your second angle does not result in any problems

notice that in your solution 78 and 102 add up to 180 , and sin 78 = sin(180-78) = sin 102

I would have found angle S first, the largest angle always opposite the largest side.

7^2 = 5^2 + 4^2 - 2(5)(4)cosØ

40cosØ = -8

cosØ = -8/40 = -1/5

Ø = 101.537°

Now you can use the sine law and you will find the correct other angles.

Step-by-step explanation:

Answer:

-52

Step-by-step explanation:

Answer:

-116

Step-by-step explanation:

-84-(-32) it's simple

Here you go! I apologize if it makes no sense. I write my notes and practice problems super weirdly.

Answer:

The answer is D which is 330

Answer:

330 degrees

Step-by-step explanation:

[tex]\pi = 180 so \pi /6 = 30 \\30 x 11 = 330[/tex]

29.

[tex]f(x) = -x^2-7x-6[/tex]

As [tex]x \to \pm \infty[/tex], [tex]y \to - \infty[/tex].

This can be easily verified by looking at the graph (graph of a quadratic equation).

30.

The growth of a population is not linear, it's exponential.

31.

Exponential growth > polynomial, so [tex]y = 3^x[/tex].

35.

[tex]V(t) = 30\cdot (25)^{\frac{t}{20}}[/tex]

The question is asking V(t) for t = 40.

[tex]V(40) = 30\cdot (25)^{\frac{40}{20}} \\~\\V(40) = 30\cdot 25^2 \\~\\V(40) = 30\cdot 625 \\~\\V(40) = 18750[/tex]

36.

The point of symmetry of a quadratic equation [tex]y = ax^2+bx+c[/tex] is at its vertice:

[tex]V_x = \dfrac{-b}{2a}[/tex]

[tex]V_x = \dfrac{6}{2}[/tex]

[tex]V_x = 3[/tex]

The line is x= 3.

Answer:

2(k+1)(k+2)(k+5)

Answer:

$48.51

Step-by-step explanation:

do 5% of $46.20 and then add it to the original number

Hope this helps u :D

Answer:

The answer is A. because of the y intercept and the slope

Answer:

Step-by-step explanation:

7: yogurts

12:different

7*12=84 choices

Answer:

fraction: 2/3

decimal: 0.66666667

percentage: 66%

Step-by-step explanation:

Answer: 1: 4/12

               2: 1.3

               3 33.3%

Step-by-step explanation: