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ELEN [110]
3 years ago
15

1.

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer:

Step-by-step explanation:

1.

James goes to an arcade.

He has one go on the Teddy Grabber.

He has one go on the Penny Drop.

The probability that he wins on the Teddy Grabber is 0.2.

The probability that he wins on the Penny Drop is 0.3.

(a) Complete the tree diagram.

Teddy Grabber

Penny Drop

Win

0.3

Win

0.2

Lose

Win

Lose

Lose

(2)

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A carnival is being set up in your hometown. From experience, the carnival organizer knows that the amount of money he will brin
pentagon [3]

Answer:

$6,200

Step-by-step explanation:

The question is to find the expected value.

We know the expected value of a scenario is the sum of the products of each probability of event and its profit or loss.

There are 3 probabilities in the scenario:

Rainy: 20% = 20/100 = 0.2

Sunny: 50% = 50/100 = 0.5

Cloudy: Rest, which is 100 - (50+20) = 100 - 70 = 30% = 30/100 = 0.3

Now, the gain and loss is:

Rainy: Lose 5000 means -5000

Cloudy: Gain 4000 means +4000

Sunny: Gain 12,000 means +12,000

Now, the expected value is:

Expected Value = (0.2)(-5000) + (0.5)(12000) + (0.3)(4000) =  $6,200

8 0
3 years ago
If varies inversely as . It is known that = 10 when = 3, find the value of when = 5.
Leto [7]

Answer:

y = 6

Step-by-step explanation:

If x varies inversely proportional as y.

x=\dfrac{k}{y}, k is constant of proportionality

or

k = xy

When x = 3 and y = 10

k = 3×10

k = 30

Put x = 5,

y=\dfrac{k}{x}\\\\y=\dfrac{30}{5}\\\\y=6

So, the value of y is 6 when x is 5.

8 0
2 years ago
Can someone double check my work for this problem? I got 38°??
scoundrel [369]
We need to use Law of sine.

sin A/a = sin C/c
sin A/|CB| = sin C/|AB|

sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20

A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰
4 0
3 years ago
Joe went shopping and purchased a pair of pants for $56 and a pair of shoes for $45. The tax in Joe's city is 4%. How much will
Nimfa-mama [501]

Answer:

$105.04

Step-by-step explanation:

First add $56 plus 45$ and you will get $101, then times $101 and 1.04 together.

Your answer should be $105.04.

6 0
2 years ago
What’s the equation and answer of x=-2 and y=-6
IrinaVladis [17]

Answer:

Equation with variable

Step-by-step explanation:

8 0
3 years ago
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