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Diano4ka-milaya [45]
2 years ago
10

How do I do this!!!!!

Mathematics
1 answer:
Readme [11.4K]2 years ago
6 0

The expected values of the binomial distribution are given as follows:

1. 214.

2. 21.

3. 31.

<h3>What is the binomial probability distribution?</h3>

It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For item 1, the parameters are:

p = 3/7, n = 500.

Hence the expected value is:

E(X) = np = 500 x 3/7 = 1500/7 = 214.

For item 2, the parameters are:

p = 0.083, n = 250.

Hence the expected value is:

E(X) = np = 250 x 0.083 = 21.

For item 3, the parameters are:

p = 1/13, n = 400.

Hence the expected value is:

E(X) = np = 400 x 1/13 = 31.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

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Daniel is planning a 6-night road trip. It will cost $310 for transportation, $275 for food, and $70 per night for a hotel room.
Anna11 [10]

Answer:

Daniel must tutor 160 hours

Explanation:

310+275+70= 655

655×6= 3930 (he needs this amount of $)

(Daniel gains $20 per hour)

20×160= 3200

3200+745= 3945

3945 > 3930

Daniel has enough for the trip.

Where did I get 160?

Well, I was just trying out numbers and multiplying it by 20

The numbers I tried: 100, 150, 156, 159 & 160 but only 160 fit with the answer.

If it was just one night road trip he would've just needed $655, but since it's a 6-night road trip I multiplied it by 6.

Hope this helped!

3 0
3 years ago
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Help plzzzzzzz &lt;3333
STatiana [176]

Answer:

It is $66.50 cheaper to purchase a return trip ticket than it is to purchase 2 one-way tickets.

Step-by-step explanation:

It is asking us how much does 2 one-way tickets costs as opposed to a return trip ticket.  First, let's figure out how much does 2 one-way tickets cost.

Equation:

287.75 x 2 = 575.50

2 one-way tickets cost $575.50.

Then, to find the difference, subtract the return trip cost from the two one-way tickets.  

Equation: 575.50 - 509.00 = 66.50

The difference between the two is $66.5

Conclusion: It is $66.50 cheaper to purchase a return trip ticket than it is to purchase 2 one-way tickets.

I hope this helps!

8 0
3 years ago
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What is 4/6 x 5/6 = plz help i need to pass my math
sergejj [24]

Answer:

5/9

Step-by-step explanation:

20/36=5/9

5 0
2 years ago
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A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making
Archy [21]

Answer:

The equation to find the profit made by business combined is x+4x = 10.

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by  business A be 'x'.

Let the profit (in millions) made by  business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

y =4x

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by  business A and profit (in millions) made by  business B.

framing in equation form we get;

x+y =10\ million

Substituting the value of y in above equation we get;

x+4x = 10

Hence The equation to find the profit made by business combined is x+4x = 10.

On Solving above equation we get;

5x =10\\\\x =\frac{10}{5} = \$2 \ million

profit (in millions) made by  business A = \$2 \ million

profit (in millions) made by  business B = 4x =4\times 2 =\$8 \ million

Hence Business A made $2 million profit and Business B made $8 million profit.

8 0
3 years ago
3x+122=22x-11<br>i need help!
nasty-shy [4]

3x + 122 = 22x - 11

    +11                + 11

3x + 133 = 22x

-3x            -3x

133 = 19x

x = 7

5 0
2 years ago
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