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scoundrel [369]
3 years ago
9

A box contains 2 green and 3 white balls. A ball is selected at random from the box. If the ball is green, a card is drawn from

a deck of 52 cards. If the ball is white, a card is drawn from the deck consisting of just the 16 pictures.
(a) What is the probability of drawing a king?
(b) What is the probability of a white ball was selected given that a king was drawn?
Mathematics
1 answer:
Kryger [21]3 years ago
8 0

Answer:

a) \frac{47}{260}

b) \frac{3}{20}

Step-by-step explanation:

a) There are two ways of getting a king; picking a green ball and then picking a king from the deck of 52 OR picking a white ball then picking a king from the pictures only deck of 16

P(king) = \frac{2}{5} *\frac{4}{52} +\frac{3}{5} *\frac{4}{16} = \frac{47}{260}

b) P(white ball, given king)= \frac{3}{5}*\frac{4}{16} =\frac{3}{20}

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A group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students
ValentinkaMS [17]

Answer:

A maximum of 43 students and 11 teachers can go to the trip.

Step-by-step explanation:

Since a group of teachers and students will take a bus trip to a museum, and each teacher will lead a group of no more than 4 students, and the bus can hold a maximum of 54 teachers and students, to determine the possible numbers of teachers and students who can go on the trip, the following calculation must be performed:

4 + 1 = 5

54/5 = X

10.8 = X

10 x 4 = 40

10 x 1 = 10

4 - 1 = 3

Therefore, a maximum of 43 students and 11 teachers can go to the trip.

8 0
2 years ago
Let f(x) = x2 and g(x) = x - 3.<br> Evaluate (gºf)(-2).<br> A. -20<br> B. 20<br> C. 7<br> D. 1
7nadin3 [17]

Answer:

D. 1

Step-by-step explanation:

Step 1: Find g of f(x)

g(f(x)) = (x²) - 3

Step 2: Plug in -2 as <em>x</em>

g(f(x))(-2) = (-2)² - 3

g(f(x))(-2) = 4 - 3

g(f(x))(-2) = 1

7 0
3 years ago
How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?
marissa [1.9K]

Answer:

  • one solution: x=10

Step-by-step explanation:

The coefficients of x on each side of the equal sign are different, so the equation is <em>not a tautology</em>. It must have exactly one solution.

8 0
3 years ago
What is the common binomial factor of 5x(x+7) +3 (x+7)
son4ous [18]

Answer:

(x+7) (5x+3)

Step-by-step explanation:

that's what I got

3 0
3 years ago
Which line is parallel to the line y=1/5x-1 and passes through the point (-10,-3)
Kruka [31]
The slope of the line parallel to another line is the same as that of the other line. Therefore, the slope of the parallel to y= 1/5x-1 is 1/5.

Using the point slope from, y-y1= m(x-x1)
Where y-1 and x1 are points from giving coordinate pair (x,y) that lies one the line, and m is the slope.

Plugging in 1/5 for m, -10 for x1 and -3 for y1:

y-(-3)=1/5(x- -10)
y +3 = 1/5x+2
y=1/5x-1

I hope this is right.
4 0
3 years ago
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