Can someone help me please

Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and room

coldgirl [10]

Answer:

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

Step-by-step explanation:

Independent events:

If two events are independent, the probability of both happening is the multiplication of their probabilities.

Rock-paper-scissors rules:

A player that choose rocks beats one who chooses scissors.

A player that choose paper beats one who chooses rocks.

A player that choose scissors beats one who chooses paper.

Probability that roommate A wins the game and thus does not have to wash the dishes.

3 possible events:

Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)

So

$p_R = 0.21*0.18 = 0.0378$

Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).

So

$p_P = 0.39*0.61 = 0.2379$

Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).

So

$p_S = 0.4*0.21 = 0.084$

Probability of roommate A winning:

$p = p_R + p_P + p_S = 0.0378 + 0.2379 + 0.084 = 0.3597$

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

8 0

3 years ago

A psychologist claims that less than 5.8 percent of the population suffers from professional problems due to extreme shyness. Ex

lidiya [134]

Answer:

We are given that a Psychologist claims that less than 5.8 percent of the population suffers from professional problem due to extreme shyness.

We are supposed to set up the null and alternative hypotheses.

Since the claim is less than 5.8 percent, therefore, the claim will be mentioned in the alternative hypothesis. Hence the null and alternative hypotheses are given below:

$H_{0}:p=5.8\%$

$H_{1}:p$

Therefore, the option a. H0: p = 5.8% H1: p < 5.8% is correct

3 0

3 years ago

Find the value of x in the triangle shown below 5.7 5 x 70 5

jonny [76]

Answer:

55

Step-by-step explanation:

Right on edge

7 0

3 years ago

PLEASE SHOW HOW YOU GOT THE ANSWER THANKS! GIVING BRAINLIEST!!!

Alexeev081 [22]

Answer:

a) 5 b) 1 c) 0 d) -4

Explanation:

a) 10[(1/2+1/4) + 2(1/8)] ÷ 2

Ok, there's a lot going on. You will want to follow PEMDAS, the acronym of the Order of Operations. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. The M/D can be switched depending on what comes first from left to right, and same goes for A/S.

First, start off by doing everything in the brackets.

Let's add 1/2 and 1/4. To add fractions, they have to have a common denominator. I'm making 1/2 into 2/4 but multiplying the top and bottom by 2. Now it is 2/4 + 1/4 so we can add to get 3/4.

The other thing inside the brackets is 2(1/8). We can just multiply straight across and get 2/8. This can be simplified to 1/4.

Now, we add 3/4 and 1/4. The denominators are already the same, so we can just add them together to get 4/4 or 1.

Rewriting the equation, we now have 10(1)÷2

10•1 = 10

10 ÷ 2 = 5

The answer to question a is 5.

b) √(0.6)² + (0.8)²

First, we need to square both terms. Squaring is the same as multiplying the number by itself.

0.6 • 0.6 = 0.36

0.8 • 0.8 = 0.64

Add them together: 0.36 + 0.64 = 1

√1 = 1

The answer to question b is 1.

c) (1/5 - 3/5) • √6•3/2 + (√36 ÷ √5²)

Let's start with the first bit: (1/5 - 3/5)

The denominators are the same, so just subtract and you get -2/5

The second bit now: $\sqrt{6 *\frac{3}{2} }$

Multiply across and you get 18/2, which can be simplified to 9

√9 = 3

The third section: ( $\sqrt{36}$ ÷ $\sqrt{5^{2} }$ )

The square root of 36 = 6 (because 6•6=36, so it's right)

The square root and the square cancel each other out, so the second part is 5.

6 ÷ 5 = 1.2

Now put it all together: -2/5 • 3 + 1.2

I'm making the 1.2 into a fraction so it is the same as the fraction: 1.2 = 6/5

We now have -2/5 • 3 + 6/5

First we multiply -2/5 and 3 across:

-2/5 • 3 = -6/5

Now we add -6/5 and 6/5 across:

-6/5 + 6/5 = 0

d) [-1.5 + √0.25 - (-0.75)] • 2^4

Doing the brackets first:

The square root of 0.25 = 0.5 (because 0.5 • 0.5 = 0.25)

-1.5 + 0.5 - -0.75

-1 + 0.75 (subtracting a negative make a positive)

-0.25

-0.25 • 2^4

2^4 = 16 (this is saying 2•2•2•2 which is 16)

-.25 • 16 = -4

7 0

2 years ago

Austin collected 30 9/10 kilograms of glass for recycling. Exactly 2/3 of the glass he collected was blue. What was the total am

elena55 [62]

2/3 of 30 9/10 = (30*10 + 9)/10 = 309/10 kilograms of glass is blue or there are:

(2/3)(309/10) = (2*309)/(3*10) = (2*103)/10 = 206/10 = 10.6 kg of blue glass.

3 0

3 years ago