evaluate the expression3+(a+4)(8-b) when a = 5 and b = 6

The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Let's denote students in D = in the drama club , S = in a sports team

P(D) = 70/310

P(S) = 190/310

P(D and S) = 50/310

P(D or S) = P(D) + P(S) - P(D and S)  

P(D or S) = 70/310  + 190/310  - 50/310

P(D or S) = 210/310 = 21/31

P(neither D nor S) = 1- 21/31

P(neither D nor S) = 10/31

The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.

Learn more about probability here;

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Answer:

4.05 x 10^2

Step-by-step explanation:

Please mark brainiest

and give 5 stars

Thanks

Step-by-step explanation:

Using SOH CAH TOA

sin#=opp/hyp

sin35=x/20

20sin35=x

x=11.4715

x=11.5

Answer:

but I don't want you guys

Step-by-step explanation:

ok love to have a God I love you night with my friend who is a control needed for a while and he was very excited to see if he says that you were a great depression in his life when you had a good time and you were going from a big it would have a lot of fun and I just love that I feel pretty

Answer:

10

Step-by-step explanation:

See the angles on the black line. They are supplementary.

7x+90°+20°=180°

7x+110°=180°

7x=180°-110°

7x=70°

x=70°/7

x=10

Answer:

a k (proportionality constant) = 2.5

b. r = 6

Step-by-step explanation:

Here, we want to solve a variation

m = k * r^3

160 = k * 4^3

160 = 64k

k = 160/64

k = 2.5

b) secondly;

From;

540 = 2.5 * r^3

r^3 = 216

r = cube root of 216

r = 6

Answer: 37 cm^2

Step-by-step explanation:

Break the shape into two recognizable shapes. In this case a triangle and a square. To find area of a triangle use Area= 1/2 base x height. To find area of a square use Area = length x width. Then add the two together.

Answer:

Ligh blue

Step-by-step explanation:

Answer:

3w + 5 :)

Step-by-step explanation:

Answer: it’s 1.25 for the first and 1.28 for the second so the first of 12 bottles 15$ Is the better value

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

The equation of a graph of a linear function is in the form:

y = mx + b;

where m is the slope of the graph, b is the y intercept, y and x are the variable.

Since y represent distance on y axis and t represent time on the x axis. We see that the graph passes the points:

(0, 100) and (6, 400). The equation of the graph is:

[tex]y-y_1=\frac{y_2-y_1}{t_2-t_1}(t-t_1) \\\\y-100=\frac{400-100}{6-0}(t-0)\\\\y-100= 50t\\\\y=50t+100[/tex]

a) The y intercept is 0. This means that initially the car is at 100 miles from Phoenix before the trip started. i.e. at 0 hours the distance is 100 miles.

b) The slope of the graph is 50. It means that the car traveled at a speed of 50 miles per hour

c) The end point of the graph is (6, 400), meaning the trip lasted 6 hours

d) The end point of the graph is (6, 400), meaning at the end of the trip, the car was 400 miles from Phoenix.

Answer:

5x<36

5x/5 < 36/5

x < 7.2

Step-by-step explanation:

a + 9 = 6

p + 20 = -30

Answer:

He would make $247

Step-by-step explanation:

have a great day!

Answer:

20

Step-by-step explanation:

there r 24 cookies

5/6 of 24 is 20 because 24/6 is 4 and 4*5 is 20

Answer:

20 oatmeal cookies

Step-by-step explanation:

If it is 6ths then divide 24 by 6 which is 4 and multiply 5 by 4 which is 20

Answer:

The answer would be D

Step-by-step explanation:

In order for a problem to be infinite, it must be 0=0. But since this is equal, and can equal 0=0, it would be d

Answer:

what are the ordered pairs?

Answer:

Question 1

Option 2 is the correct answer

y = x - 55/ x=255

Question 2:

Last option is the correct answer

n = b + 2/ b= 5

Step-by-step explanation:

Question 1

The given information can be framed into the Mathematical form as given below:

No of cards = x

Cards given to brother = 55

Remaining cards = x - 55

Total number of cards = y

y = x - 55

Plug y = 200

200 = x - 55

20. + 55 = x

x = 255

y = x - 55/ x = 255

Question 2:

Total number of shirts bought

n = b + 2

Plug n = 7

7 = b + 2

7 - 2 = b

b = 5

n = b + 2/ b = 5

Answer:

1. 14

2. 11

3. 19.5

4. 16

5. 76

6. 10

7.  2.5

8. 4.5

9. Mean: 10, Median: 9, Mode: 7

10. Mean: 6, Median: 7, Mode: 8,5

11. Mean: 10, Median: 11.5, Mode: 12

Step-by-step explanation:

Answer:

variable, variable, known, unknown

Step-by-step explanation:

Answer:

Does this count as stander form 6.95880148018

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Calculate the lengths of JK and JL using the distance formula

d  = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = K(- 4, 2)

JK = [tex]\sqrt{(-4-2)^2+(2-1)^2}[/tex]

     =  [tex]\sqrt{(-6)^2+1^2}[/tex]

     = [tex]\sqrt{36+1}[/tex]

     = [tex]\sqrt{37}[/tex] ≈ 6.1 units

Repeat with (x₁, y₁ ) = J(2, 1) and (x₂, y₂ ) = L(7, 4)

JL = [tex]\sqrt{(7-2)^2+(4-1)^2}[/tex]

    = [tex]\sqrt{5^2+3^2}[/tex]

    = [tex]\sqrt{25+9}[/tex]

    = [tex]\sqrt{34}[/tex] ≈ 5.8 units

Thus JK is longer than JL →  A

Answer:

The answer would be 14.0

Step-by-step explanation:

you would find what the decimal is and because it is below 14.49 you would round down

Please mark as brainllest i really need it have a nice week  

[o]-[o]

\___/

Answer:

10 degrees

Step-by-step explanation:

:) Thank you enjoy your day kind human :)

Answer:

10.

Step-by-step explanation:

-10 + 10 = 0.

works the same for degrees as well.

Answer:

8x-8=16 is the answer after combining like terms

Answer:

x=3

Step-by-step explanation:

8x-8=16

8x=24

x=3

:)

Answer:

0

Step-by-step explanation:

subtracting like terms

Answer:

bugggaaaa

Step-by-step explanation:

bugggggaaaaa

Answer:

sin 33 and cos 57

Step-by-step explanation:

Sine of an angle equals the cosine of its complement.

Answer:d= 19

Step-by-step explanation: