Mr. Q’s class is having a give away where his students can
receive 100 classroom credits. He will pull names out of a hat and select two winners. Once a student wins, they are not
eligible to win a second time. If there are 40 total people in the class, including you and your
best friend.

What is the probability that both you and your best friend get the 100 classroom credits?

Answer:

infinitely many solutions

Step-by-step explanation:

solve  by substitution:

solve equation 1 for y: - y = 7 - 4x; divide by -1 to simplify into y = -7 + 4x

Substitute - 7 + 4x into the second equation to obtain:

3(-7 + 4x) - 12x = -21, which yields:

-21 + 12x - 12x = -21, which simplifies 0 = 0

a result of 0 = 0 means infinite solutions such as:

(2,1), (3, 5), (4, 9), (5, 13), (6, 17)....

Answer:

infinite soulutions

Step-by-step explanation:

i just did it and it was right on ed2021...

Answer:

c = 8.50 + 7.50x

Step-by-step explanation:

c = 8.5 + 7.50x

Answer: (6,8)

Step-by-step explanation:

Answer:

(6, 8)

Step-by-step explanation:

Answer:

Since potential vice presidents are chosen before the election occurs, they are often selected partially due to their potential effect on the election. Presidential candidates often choose running mates who can capture key demographics or who have a high level of experience in an area that voters regard as important.

Step-by-step explanation:

Answer:

Answer given below

Step-by-step explanation:

P (spinning yellow) = 2 / 8 = 1 / 4

P (Spinning an odd number) = 4 / 8 = 1 / 2

P ( spinning a number less than 5) = 4 / 8 = 1 / 2

Hope it helps

The probability of spinning a yellow is 1/4.

The probability of spinning an odd number is 1/2.

The probability of spinning a number less than 5 is 1/2.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

From the spinner

Blue region = 3

Red region= 1

Yellow region = 2

Purple region = 2

So, the probability of getting Yellow

P (spinning yellow) = 2 / 8

                                = 1 / 4

and, the probability of getting odd number

P (Spinning an odd number) = 4 / 8

                                               = 1 / 2

and, the probability of getting less than 5

P ( spinning a number less than 5) = 4 / 8

                                                         = 1 / 2

Learn more about Probability here:

https://brainly.com/question/30034780

#SPJ7

Given:

The complex number is:

[tex]z=1+i\sqrt{3}[/tex]

To find:

The argument of the given complex number.

Solution:

If a complex number is [tex]z=x+iy[/tex], then the argument of the complex number is:

[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]

We have,

[tex]z=1+i\sqrt{3}[/tex]

Here, [tex]x=1[/tex] and [tex]y=\sqrt{3}[/tex]. So, the argument of the given complex number is:

[tex]\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}[/tex]

[tex]\theta =\tan^{-1}\sqrt{3}[/tex]

[tex]\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)[/tex]

[tex]\theta =\dfrac{\pi}{3}[/tex]

Therefore, the argument of the given complex number is [tex]\theta =\dfrac{\pi}{3}[/tex].

Answer:

16/9.

Step-by-step explanation:

I am assuming you mean tan^2 theta.

The adjacent side of the triangle drawn in Q 4 = 3 (as cos theta = 3/5.

The opposite side of the triangle drawn in Q 4 = sqrt(5^2-3^2) = 4.

The tangent is negative in Q 4

So tan theta = -4/3.

tan^2 theta = 16/9.

Answer:

find f(5) and g(5) then divide f(5) by g(5) i.e f(5)/g(5) Answer will be 25/6

Answer:

It’s B

Step-by-step explanation:

Answer: An equation may have more than one solution, or the solution(s) may be complex, rather than real, but it will always have one solution - and sometimes more than one.

Step-by-step explanation:

Answer:

the inverse for each relation:

1. [(4,2),(5,1),(6,0),(7,-1)} is

{(2,4),(1,5),(0,6),(-1,7)}

Answer:

(Thanks) it's A because the limit is in the same place on both graphs. The filled-in dot doesn't affect the limit at all, it just means the "real" value of x=-4 is 8, but the "limit" is still at 5 either way.

Answer:

x = 9

Step-by-step explanation:

congruent angles have the same measure as each other

so;

4x + 14 = 6x - 4

(rearrange)

14 + 4 = 6x - 4x

(solve)

18 = 2x

(simplify)

18 divide 2 = 9

so;

9 = x

Answer:

8/3

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

8 /3

Decimal Form:

2. 6

Mixed Number Form:

2  2 /3

Answer:

B measures 66°

C measures 66° .Sum of all angels is 180° .

Answer:

y=1/2x

Step-by-step explanation:

Find the y-int (0) and get the slope : 1/2.

Answer:

Letter B .................

Answer:

60 mph

Step-by-step explanation:

Given:

The graph of a line a.

To find:

The slope of the line a.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that the line a passes through the points (-1,1) and (0,-2). So, the slope of the line a is:

[tex]m=\dfrac{-2-1}{0-(-1)}[/tex]

[tex]m=\dfrac{-3}{1}[/tex]

[tex]m=-3[/tex]

The slope of the line a is -3. Therefore, the correct option is C.

Answer:

6b-4a+13

Step-by-step explanation:

3a-6b+3-7a+10

3+10=13

3a-7a=-4a

6b-4a+13

Answer:

13

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

The numbers do not matter. There are 3 outcomes for the first spinner and 6 outcomes for the second. 6x3 is 18. For each of the 3 outcomes for the first spinner there are 6 for the second.

1,4

1,5

1,6

1,7

1,8

1,9

2,4

2,5

2,6

2,7

2,8

2,9

3,4

3,5

3,6

3,7

3,8

3,9

Answer:

18

Step-by-step explanation:

The first spinner has 3 outcomes; the second spinner has 6 outcomes independent of the first spinner's outcome.  In other words, what happens to the second spinner has nothing to do with the outcome of the second spinner.  There are 3 x 6 = 18 possible outcomes for both spinners.

Here's a complete list of outcomes (see the attached image).

Answer:

D. (0.5, 0) and (0, -2)

Step-by-step explanation:

We have the following equation:

[tex]y = 4x - 2[/tex]

x-intercept:

The x-intercept of an equation is the value of x when [tex]y = 0[/tex]. So

[tex]y = 0[/tex]

[tex]4x - 2 = 0[/tex]

[tex]4x = 2[/tex]

[tex]x = \frac{2}{4}[/tex]

[tex]x = 0.5[/tex]

So (0.5,0) is one of the intercepts

y-intercept:

The y-intercept of an equation is the value of y when [tex]x = 0[/tex]. So

[tex]y(0) = 4(0) - 2 = 0 - 2 = -2[/tex]

So (0, -2) is the other intercept.

The correct answer is given by option D.

Answer:

c

Step-by-step explanation:

Answer:

N12.8

Assume the money in the box Is M.

therefore, 3/4 of M=N4.80.

Recall N1=100k..... where k 'kobo'

N4.80=X

X=4.80x100. this gives us 480k.

this implies that 3/4 X M= 480k

therefore by cross multiplication, and dividing by 3; 3M=480 X 4

M = (480 X 4) ÷3

M=1280k

converting from kobo' to Naira. the rate of conversion is;

100k = N1

1280k=?

M in naira= 1280/100

M is N12.8

Answer:

can we get the figure plz

Answer:

D. 64

Step-by-step explanation:

I calculated it logically

Answer:

175cm^3

Step-by-step explanation:

Volume= Length x Width x Height

Length and width =35cm^2

H=5cm

V=175cm^3

Hope this helps!

Answer:

A

Step-by-step explanation:

A is the answer because the origin is located at point (0,0)

Answer:

Step-by-step explanation:

(216/4)-20+3(5)

(54)-20+15

34+15 = 49

option 1

Answer:

49

Step-by-step explanation:

(6³ / 4) - 4 * 5 + 3(7 - 2)

= (216 / 4) - 20 + 3 * 5

= (216 / 4) - 20 + 15

= 54 - 20 + 15

= 34 + 15

= 49

Hope it helps