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2 years ago

Solve this equation for x. round your answer to the nearest 0 = ln (x+6)

Mathematics

1 answer:

MissTica2 years ago

4 0

Answer: $x=-5$

Step-by-step explanation:

To solve this exercise you need to remember the following:

$e^{lnx}=e^{lny}$ → $x=y$

Therefore, keeping the above on mind, you can solve for x as following:

$e^0=e^{ln(x+6)}$

$e^0=x+6$

Remember that, by definition: $a^0=1$ , then you have:

$1=x+6$

Subtract 6 from both sides of the equation.

Then the value of x is:

$1-6=x+6-6\\x=-5$

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PLEASE HELP!!!!! I don’t get it all :((((

asambeis [7]

The answer is 35 hope this helps

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2 years ago

In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

hichkok12 [17]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

4 0

2 years ago

Find the area of the triangle whose vertices are (2, 3); (-1, 0); (2, -4)...

Neko [114]

Answer:

Area = 14.5

Step-by-step explanation:

Let's label the given coordinates A, B, C;

Thus;

A = (2, 3)

B = (-1, 0)

C = (2, -4)

From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;

Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2

Area = 29/2

Area = 14.5

8 0

2 years ago

I need help answering this ASAP

Nata [24]

Answer:

"D"

if you multiply by Conjugate

the denominator would end up A^2 - b^2

the answer has 25 - 10x

that is D

Step-by-step explanation:

7 0

2 years ago

Find the solution to the system<br> of equations. Y=1/2x-1 and x=4

oksano4ka [1.4K]

the point where the two lines intersect will be your answer.

from the photo, your x-coordinate will be 4, and your y-coordinate will be 1. that's where the two lines meet, so that's the solution.

the answer will be (4,1).

i hope i helped! good luck.

5 0

1 year ago