Are the following equations an identity

6y + 9 - y = 7y - 2(y - 1)


7m - 2 = 8m + 4 - m

P(A|B) = 1/3

"A Venn diagram in mathematics is a diagram that uses overlapping circles or other shapes to represent the logical relationships between two or more sets of items. "

"For any experiment, a probability denotes the possibility of outcome for any event."

For event A, the probability of event A is,

P(A) = number of favorable outcomes/ total umber of outcomes

"Conditional probability is the probability of an event occurring given that another event has already occurred."

P(A|B) = P(A∩B)÷P(B)

For given diagram:

Let A represents a set of students playing Basketball and B represents a set of students playing Soccer

So, A = {Fran, Ian, Juan, Ella}

⇒ n(A) = 4

B = {Mickey, Marcus, Ella}

⇒ n(B) = 3

(A ∩ B) = {Ella}

⇒ n(A ∩ B) = 1

sample space: S = {Fran, Ian, Juan, Ella, Mickey, Marcus, Mai, Karl, Jada, Gabby}

⇒ n(S) = 10

Now, we calculate probability of B and A∩B.

P(B) = n(B)/n(S)

⇒ P(B) = 3/10

Also, P(A∩B) = n(A∩B) / n(S)

⇒ P(A∩B) = 1/10

So, the required probability would be,

⇒ P(A|B) = P(A∩B) ÷ P(B)

⇒ P(A|B) = (1/10) ÷ (3/10)

⇒ P(A|B) = 1/3

Therefore, P(A|B) = 1/3

Learn more about probability here:

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Answer:

4

Step-by-step explanation:

1+3*1

3*1=3

3+1=4

Answer:

the answer is 4

Step-by-step explanation:

you do 3 times 1 witch is 3 then add 1 also hears a tip always do multiplication and division first

Answer:

400

Step-by-step explanation:

20*20 = 400

Answer:

20 x 20 is 400

Step-by-step explanation:

Answer:

a. Metaphor

Step-by-step explanation:

Answer:

La desigualdad para determinar el número de empleados a tiempo completo que Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana es 20+40*n ≥ 260. Resolviendo al menos 6 empleados deben trabajar a tiempo completo.

Step-by-step explanation:

Una inecuación es una desigualdad entre letras (incógnitas) y números relacionados por  operaciones aritméticas. Su conjunto solución es el conjunto de números reales que la satisfacen. En una desigualdad, dos expresiones algebraicas están conectadas a través de los signos: mayor que >, menor que <, menor o igual que ≤ y mayor o igual que ≥.

Tom tiene un empleado a tiempo parcial que trabaja 20 horas a la semana. Cada empleado a tiempo completo trabaja 40 horas a la semana. Tom debe programar para que sus empleados trabajen al menos 260 horas a la semana.

Sabiendo que x representa la cantidad de trabajadores a medio tiempo  y n la cantidad de trabajadores a  tiempo completo, entonces  20*x+40*n representa la cantidad de horas que todos los empleados trabajan semanalmente. Si los empleados trabajen al menos 260 horas a la semana, esto significa que la cantidad de horas que todos los empleados trabajan a la semana debe ser mayor o igual a 260 horas. Entonces:

20*x+40*n ≥ 260

Si Tom tiene un empleado a tiempo parcial, entonces la cantidad de trabajadores a medio tiempo x debe tener un valor de 1. Entonces:

20*1+40*n ≥ 260

20+40*n ≥ 260

40*n ≥ 260 -20

40*n ≥ 240

n ≥ 240 ÷40

n ≥ 6

Entonces 6 empleados o más deben trabajar a tiempo completo.

Answer:

step 1:   0.75 x 6 = 4.5

step 2:   0.75 x d = 0.75d

step 3:    4.5 + 0.75 = 5.25

It's correct answer

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Answer:

x = 74

Step-by-step explanation:

If you add all the angles in the diagram, you will get 360 degrees (since it's a complete revolution, and one revolution = 360 degrees).

Form an equation in x with this information:

4x+1+x-35+24 = 360

5x -10 = 360

5x = 370

x = 74

Answer:

a and c are functions b is not

Step-by-step explanation:

a and c are both functions

while b, is not

Answer:5

Step-by-step explanation: If you look at the base of both triangles, you'll notice that the smaller one has a base of 3, and the bigger one has a base of 6. The smaller triangle is half of the big one, therefore we can safely say that the hypothenuse of the smaller triangle is half of that of the larger one. Half of 10 is 5.

I had the same question on my homework.

Answer:

the slope is y=5/2x-12

Given:

The linear equation is

[tex]y=-27x+577[/tex]

where x represents the number of weeks and y represents the amount of money left in Alma's account.

To find:

The number of weeks in which Alma have $145 left in her account.

Solution:

We have,

[tex]y=-27x+577[/tex]

Substitute y=145, we get

[tex]145=-27x+577[/tex]

Subtract both sides by 577.

[tex]145-577=-27x[/tex]

[tex]-432=-27x[/tex]

Divide both sides by -27.

[tex]\dfrac{-432}{-27}=\dfrac{-27x}{-27}[/tex]

[tex]16=x[/tex]

So, the number of required weeks is 16. Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

Right on edge 2020

Answer:

m > 15

Step-by-step explanation:

Kindly check attached picture

There is no question stated

Answer:

-8(-f+2g)

Step-by-step explanation: is this helpful

Answer:

-8

Step-by-step explanation:

Answer:

At least means ≥

No more than means ≤

Let x = number of bags of potato chips

Let y = the number of bags of corn chips

x+y≥100

2.50x+2.90y≤$350

Let's try x=80 and y=20 (We know that is equals 100 so it will work for the first equation

2.50(80)+2.90(20) = 258 which is ≤$350

Buy 80 bags of potato chips and 20 bags of corn chips is one possibility.

A+B+C= 40

2C +5=A

B-C=3

A is Amanda, B is Bethany and C is Christina

Answer:

Step-by-step explanation:

Answer:

c.gle c.angel B

Step-by-step explanation:

consider the triangle which shows the order of the angles from smallest to largest?

Answer:

Step-by-step explanation:

Given that the ratio is 1:3

concentrate =1

water=3

the total =3+1=4

using the part to all method

1/4=x/32

cross multiply

4x=32

divide both sides by 4 we have

x=32/4

x=8

Therefore the amount of concentrate is 8 cups

Answer:

66

Step-by-step explanation:

66 square root is 8.12403840464

Answer:

i got 66

Step-by-step explanation:

REEEEEEEEEEEEEEEEE

Answer:

Slope:  − 3

y-intercept:  ( 0 , 6 )

Step-by-step explanation:

Use the slope-intercept form  y = m x + b  to find the slope  m  and y-intercept  b .

Answer: calculator

Step-by-step explanation:

2.16$

Answer:

Answer D, but you wanna subtract them from the opposite

Answer:

b, d,

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

The sum of interior angles in a rectangle is 360°

98 + 98 + 98 + 2x = 360

294 + 2x = 360

2x = 66°

x = 33

Answer:

slope is 4/3 and y intercept is 5

Step-by-step explanation:

Answer:

Each steak is 72/6 = 12 oz

Step-by-step explanation:

Unit rate = total ounces /  total steaks:

72 ounces / 6 steaks = 12 ounces per steak

Unit rate = 12 ounces per steak.

Answer:

Answer:

Kaya's answer is correct.

Step-by-step explanation:

The number of dots in successive figures are

8, 16, 24.

So Kaya's solution 8n is correct.

When n = 1, first square = 8*1 = 8 dots

n = 2: second square = 8*2 = 16

n = 3, 3rd square = 8*3 = 24.

If I have interpreted Kianna's formula correctly

for n = 1, then the number of dots = 2(1+ 1)^2 - 2(1 - - 1)^2

= 0.