A game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice
of 100, and then again randomly, picking a ball (red or black) from it.
Each bag has the same total number of balls (10).
Bag options
Ball options
a) Complete the tree diagram.
0.6 Red
b) Work out the probability that a player
will select a red ball.
0.4 -Black
0.35
0.2
Red
0.45
2.
0.8
Black
c) The same player is going to play the
game 200 times consecutively.
How many black balls should he
expect to pick?
0.7
Red
3
0.3
Black

Answer:

32 tablespoons of sugar.

Step-by-step explanation:

Answer:

32 tablespoons of sugar.

Step-by-step explanation:

Answer:

28.27433

Step-by-step explanation:

c = 2π * r

Answer:

rabbit!

Step-by-step explanation:

:-)

Answer:

31 tests.

Step-by-step explanation:

The rate for the grading is 10.5 every 30 minutes.

Two 45 minute prep periods are 90 minutes.

90 / 30 = 3.

Since three 30 minute periods fit into 90 minutes, we get

3 x 10.5 = 31.5 tests.

Since a teacher did not finish grading the .5 of the test, we don't count it.

Our answer is 31 tests.

Answer:

B. 1/8 chance

Step-by-step explanation:

Every time you flip a coin you have a 1/2 probability of landing on heads.

If you repeated the process three times in the row

It would be 1/2 x 1/2 x 1/2 = 1/8

The odds they all land on heads is 1/8

Answer:

Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Step-by-step explanation:

Given that Julie has $ 80,000 to invest, and she invests part at 5%, one fourth this amount at 6%, and the balance 7%, knowing that her total annual income from interest is $ 4,700, to find the amount invested at each rate se you must perform the following calculation:

80,000 / 4 = 20,000

20,000 x 0.06 = 1,200

4,700 - 1,200 = 3,500

60,000 x 0.07 + 0 x 0.05 = 4,200

50,000 x 0.07 + 10,000 x 0.05 = 4,000

40,000 x 0.07 + 20,000 x 0.05 = 3,800

30,000 x 0.07 + 20,000 x 0.05 = 3,600

25,000 x 0.07 + 35,000 x 0.05 = 3,500

Thus, Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Answer:

C

Step-by-step explanation:

The solution to the systems of linear equations through graphing is simply the coordinates of the intersection point of the two lines.

The coordinates of the intersection line is written like this: (x, y)

Since the point is 0 on the x-axis and 3 on the y-axis, the Solution = (0, 3)

Answer:

1,3,4,5

Step-by-step explanation:

I cant see 8

Answer:

(-2,4)

Step-by-step explanation:

B(1,2)

(x-3, y+2)

1-3=-2

x=(-2)

2+2=4

y=4

Hope this helps! :)

Answer:

B'(-2, 4)

Step-by-step explanation:

If it goes 3 units left, that means you're doing x - 3.

If it goes 2 units up that means you're doing y + 2 This would be:

(1 - 3, 2 + 2)

(-2, 4)

Answer:

x=7.48

Step-by-step explanation:

13^2+x^2=15^2

169+x^2=225

x^2=56

x=7.48

Answer:

x =     7.48 (2d.p.)  or 7.5 (1 d.p.)

Step-by-step explanation:

Use Pythagoras' Theorem.

15 x 15 (or 15²) = 225

13 x 13 = 169

√H - A = O

225 - 169 = 56

√56 = 7.48 (2d.p.)  or 7.5 (1 d.p.)

Answer: A. the first one wouldn't graph with the x^2 but with it I would say A. Hope this helps

Answer:

fraction way would be

Step-by-step explanation:

Given:

The expression is

[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]

To find:

The expression that is equivalent to the given expression.

Solution:

We have,

[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]

Using distributive property, we get

[tex]=-\dfrac{3}{4}(8y)-\dfrac{3}{4}(-12)+\dfrac{1}{5}(15y)+\dfrac{1}{5}(-30)[/tex]

[tex]=-6y+9+3y-6[/tex]

On combining like terms, we get

[tex]=(-6y+3y)+(9-6)[/tex]

[tex]=-3y+3[/tex]

Therefore, the correct option is B.

Answer:

27p+54

Step-by-step explanation:

Multiply 9 to all the numbers inside the parenthesis!

Hope this helps! :)

Answer:

2.4

Step-by-step explanation:

X=49-18/13

X=31/13

X=2.38

Answer:

3/4 is your answer

Step-by-step explanation:

Answer:

The correct answer is 95 degree........

Answer:variable is 75

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

mean is found by dividing the sum of the terms by the number of terms:

(43+48+41+41+x)/5=44

173+x=220

x=220-172=47

Answer:

X= 13

A=104

C=26

Step-by-step explanation:

the equation is 8x+2x+50=180

10x=130

x=13

Answer:

-3

Step-by-step explanation:

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

For ΔWXY,

[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}[/tex]

Now,

[tex]\dfrac{w}{\sin W}=\dfrac{x}{\sin X}[/tex]

[tex]\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}[/tex]

[tex]900\sin X=680\sin (157^\circ)[/tex]

[tex]\sin X=\dfrac{680}{900}\sin (157^\circ)[/tex]

[tex]\sin X=0.295219[/tex]

[tex]X=\sin^{-1}(0.295219)[/tex]

[tex]X=17.17067[/tex]

[tex]X\approx 17[/tex]

Therefore, the value of ∠X is 17 degrees.

Answer:

50000

Step-by-step explanation:

Answer:

$50,000 would be the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression

√x = √2 + 1

To get x, we will have to square both sides

(√x)² = (√2 + 1)²

x = (√2 + 1)(√2 + 1)

x = √4+√2+√2+1

x = 2+2√2+1

x = 3+2√2

Hence the value of x is 3+2√2

Answer:

answer 1. 12. 2nd is 2. and 3rd is 14pq

hope it helps

Answer:

√200 or 14.1

Step-by-step explanation:

Pythagoras' Theorem: a²+b²=c²

Rearrange to get b² (one of the smaller sides): c²-a²=b²

225-25=200

√200 = 14.1

Answer:

14.1 I hope this helps! Brainliest please!

Step-by-step explanation:

So we use the Pythagorean theorem which is a squared + b squared = c squared. C is the hypotenuse. So we do:

15 squared - 5 sqaured = b squared

225 - 25 = b squared

200 = b squared

14.1 = b