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3 years ago

Which two equations are equivalent

Mathematics

1 answer:

Naya [18.7K]3 years ago

8 0

Answer: a and b

Step-by-step explanation:

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A plane has 360 total seats, which are divided into economy class business class. For every 13 seats in economy class, there are

KiRa [710]

360/(13+5)=20
when economy class has 13 seats,
business class will have 5seats,
so we can plus two classes seats,
than divided. it will became 20part
20*13=260
economy class has 260 seats
20*5=100
business class will has 100 seats

3 0

3 years ago

Suppose that Joanne tosses a fair coin with probability 1/2 of heads, and Jaden tosses a biased coin with probability p(≠1/2) of

vladimir2022 [97]

Answer:

$E[Y^2]=\frac{2-q}{q^2}$ where $q = \frac{p}{2}+\frac{1-p}{2}$ .

Step-by-step explanation:

Since both Joanne and Jaden toss the coins at the same time, we will assume that this tosses are independent. Consider the event A that they get the same outcome. This means that they either get tails or heads. Since we consider each toss independent, the probability of each outcome is obtained by multiplying the probabilities. Then the probability of having both heads is p/2 and the probability of having both tails is (1-p)/2. Then

$P(A) = \frac{p}{2}+\frac{1-p}{2}$

In this case, we can model the random variable Y as a geometric random variable with success probability $q = \frac{p}{2}+\frac{1-p}{2}$ , since we want to count the number of trials until both get the same outcome. We will use the following

$E[Y^2] = Var(Y)+(E[Y])^2$

In this case, we will take as a fact that

$Var(Y) = \frac{1-q}{q^2}, E[Y] = \frac{1}{q}$ .

Then,

$E[Y^2] = \frac{1-q}{q^2}+ \frac{1}{q^2} = \frac{2-q}{q^2}$

where $q = \frac{p}{2}+\frac{1-p}{2}$ .

3 0

4 years ago

A student scores 71 out of 100 on a test. If the maximum score on the next test is also 100 points, what score does the student

gulaghasi [49]

Answer:

93 points

Step-by-step explanation:

1. Set up the equation to find the mean/average.

$\frac{71+x}{2} = 82$

2. (Solving)

Step 1: Multiply both sides by 2.

$\frac{71+x}{2}*2 = 82 * 2$
$71 + x = 164$

Step 2: Subtract 71 from both sides.

$71 + x - 71 = 164 - 71$
$x = 93$

Therefore, the student needs to score at least 93 points on a test to maintain an average of 82.

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3 years ago

The following statement is from the contract Peter signed with his Homeowner's Association (HOA). "Overnight parking on communit

SCORPION-xisa [38]

Answer:

b. He will receive another monetary fine.

Step-by-step explanation:

According to the by-laws, the 2nd and 3rd offenses result in a monetary fine. He has received one monetary fine; this means the next consequences he receives will be another monetary fine.

6 0

4 years ago

Read 2 more answers

A cube has a surface area of 126 feet. What is the area of one face?

Slav-nsk [51]

Answer:

21 square feet

Step-by-step explanation:

A cube has 6 faces, therefore 126/6 = 21 sq/ft the area of 1 face

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3 years ago

Read 2 more answers