Find the slope for 5x+y=8

A boat travels 8 km upstream and 8 km back. The time for the round trip is 2 hrs. The speed of the stream is 4 km/hr. What is t

marin [14]

Answer: 12km/hr

Step-by-step explanation:

8 0

3 years ago

Tayâ€“Sachs Disease Tayâ€“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 Tayâ€“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

Please help I only need help with 16, 15, and 13. Thank you. (Number 14 is optional if you'd like to help me with that to)

telo118 [61]

Answer:

14 is 24

13 is 1.4

Step-by-step explanation:

answer 14:

First you need to add 10.1 and 1.9.

Second you need to multiply the answer you got by 4.

Last you need to divide the answer you got from the first two steps by 2.

Answer 13:

First you need to add 0.6 plus 7.4 and then multiply it by 2 because it is squared by 2.

Next you minus 14 from the answer you got from the first steps.

6 0

3 years ago

Ben has a collection of 812 stamps. He gives his brother 345 stamps. About how many stamps does Ben have left

dedylja [7]

It is given in the question that

Ben has a collection of 812 stamps. He gives his brother 345 stamps.

And we have to find how many stamps does Ben have left .

Let x stamps are left.

So we have

$x+345=812$

Subtracting 345 from both sides

$x+345-345 = 812-345$

$x = 467$

Therefore after giving 345 stamps to his brother, 467 stamps are left .

7 0

3 years ago

Some carpet cleaning costs are 1 room for $125, 2 rooms for $175, 3 rooms for $225. and 4 rooms for $275.00.Find and interpret t

Free_Kalibri [48]

First calculate the hourly rate, which is the difference of cleaning 2 and 1 rooms:
175-125=50

then calculate the initial value by subtracting the hourly rate from the "1 room" cost:
125-50=75

The initial cost might be something like driving to the place (which is only necessary once), while the rate covers work time or cleaning utensils used.

8 0

3 years ago