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2 years ago

Select the correct answer.

Mathematics

1 answer:

musickatia [10]2 years ago

3 0

Answer:

x = 0

Step-by-step explanation:

ln x + 5, similarily to ln x, has no right asymptote, because it goes to infinity (very slowly), but also any line y=ax+b raises faster than ln x for positive a.

It has a left asymptote though - ln x deacreases very fast as x approaches 0, so it has a vertical asymptote of x = 0.

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A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago, the age of the father was five tim

arlik [135]

Answer:

Step-by-step explanation:

To solve this you have to make a system of equations.

Since the father and son's age sum up to 60, the first equation will be:

f + s = 60

Secondly, since the father's age is 5 times the age of the son 6 years ago the equation will be:

6 - (5s) = f

Now, you have to solve the first equation to let it equal to s

f + s = 60

f = 60 - s

Plug in

6 - 5s = 60 - s

+s +s

6 - 4s = 60

-6 -6

---------------------

-4s = 54

----- -----

-4 -4

s ≅ 14

14 + 6 = 20

5 0

7 months ago

Read 2 more answers

How to write the equation in standard form using 5x-y+6=0

irga5000 [103]

5x-y=6
Use the formula!

8 0

3 years ago

Read 2 more answers

What is the answer to A x + B y = C

frosja888 [35]

Answer:

means that ab=c

Step-by-step explanation:

4 0

2 years ago

A right triangle is drawn on a coordinate plane. Two vertices of the triangle are points R(−9,6) and T(10,−7) . The third vertex

SSSSS [86.1K]

The coordinates of point S would be (10,6), so the distance from point T to point S would be 13. :)

4 0

2 years ago

1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a t

antiseptic1488 [7]

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This 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.

A certain performer has an independent .04 probability of a crash in each race.

This means that $p = 0.04$

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

$P(X \geq 1) = 1 - P(X = 0)$

When $n = 30$

We have that:

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

$P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061$

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

7 0

2 years ago