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ella [17]
3 years ago
8

The cost of renting a car is $40 plus an additional $0.60 for each mile driven.write an expression to represent the cost of rent

ing a car for x miles.
Mathematics
1 answer:
lesya [120]3 years ago
5 0

Answer:

40+0.60x=total

Step-by-step explanation:

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Tay–Sachs Disease Tay–Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carri
BARSIC [14]

Answer:

a) 0.0156 = 1.56% probability that all children will develop the disease.

b) 0.4219 = 42.19% probability that only one child will develop the disease.

c) 0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they carry the disease, or they do not. The probability of a children carrying the disease is independent of any other children, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that their offspring will develop the disease is approximately .25.

This means that p = 0.25

Three children:

This means that n = 3

Question a:

This is P(X = 3). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156

0.0156 = 1.56% probability that all children will develop the disease.

Question b:

This is P(X = 1). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{3,1}.(0.25)^{1}.(0.75)^{2} = 0.4219

0.4219 = 42.19% probability that only one child will develop the disease.

c. The third child will develop Tay–Sachs disease, given that the first two did not.

Third independent of the first two, so just multiply the probabilities.

First two do not develop, each with 0.75 probability.

Third develops, which 0.25 probability. So

p = 0.75*0.75*0.25 = 0.1406

0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

6 0
3 years ago
The diameter of Mercury is approximately 4.9×103 kilometers. The diameter of Earth is approximately 1.3×104 kilometers. About ho
-Dominant- [34]
Hi there!

To get the answer to this question, let's divide the diameter of the Earth by the diameter of Mercury.

\frac{1.3*10^4}{4.9*10^3}

We can change this to

\frac{1.3}{4.9}*\frac{10^4}{10^3}

Let's solve for each individual fraction

\frac{1.3}{4.9} ≈ 0.27

\frac{10^4}{10^3} = 10

Now, multiply.

0.27 * 10 = 2.7

That's your answer.

Have an awesome day/night! :)

~collinjun0827, Junior Moderator
5 0
3 years ago
Assuming that A and B represent any two​ sets, identify the statement as either always true or not always true.
Fudgin [204]

Step-by-step explanation:

True...it was Answer but not in always

8 0
2 years ago
Marisa decided to raise the price of her earrings so that she will make a profit of $5.00 on each pair. She has
Varvara68 [4.7K]

Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

<h3>What is the unit price?</h3>

The unit price is the amount of money required to buy one unit of a item or goods.

To find the unit price, divide the total cost of the goods to the total number of goods.

The cost of repair will now be $60. Thus, the total cost of 50 earrings is,

C=60\times50\\C=3000

Marisa decided to raise the price of her earrings so that she will make a profit of $5.00 on each pair. Thus, the new selling price of her earring is,

P=60+5\\P=65

The sale's price of 50 earrings is,

P=50\times65\\P=3250

She has also improved the quality control so that only 1 pair in 50 need to be returned for repair. Thus, the cost price of one earring has to be removed from the sales price of 50 earrings as,

P=3250-60\\P=3190

The profit made by her company on 50 earrings is

p=P-C\\p=3190-3000\\p=190

Thus, Marisa, who raise the price of her earrings so that she will make a profit of $5.00 on each pair, expect to make a profit with her company.

Learn more about the unit price here;

brainly.com/question/25879801

#SPJ1

8 0
2 years ago
Expand the brackets and simplify the equation: <br> 8(5 c-2) + 7
valkas [14]
Is this what you are looking for? I hope this helps!

5 0
2 years ago
Read 2 more answers
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