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PtichkaEL [24]
3 years ago
9

What is the value of x if 5^x+2=5^9?

Mathematics
1 answer:
Mkey [24]3 years ago
7 0

In this equation, x = 7.


In order to solve this you are going to need to use logarithmic functions. By taking a logarithm you can eliminate exponents.


5^{x + 2}  = 5^{9}


First we're going to take the logarithm of both sides, which allows us to put the exponents in front of the terms.


(x + 2)Log5 = 9Log5


Now that we've done this, we can divide both sides by Log5 and eliminate that term.


x + 2 = 9


From here, we simply need to subtract in order to solve.


x = 7

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Explain how counting number of girls in five children family can be treated as a binomial experiment. What assumptions are neces
Juliette [100K]

This is a binomial experiment and you'll use the binomial probability distribution because:

  1. There are two choices for each birth. Either you get a girl or you get a boy. So there are two outcomes to each trial. This is where the "bi" comes from in "binomial" (bi means 2).
  2. Each birth is independent of any other birth. The probability of getting a girl is the same for each trial. In this case, the probability is p = 1/2 = 0.5 = 50%
  3. There are fixed number of trials. In this case, there are 5 births so n = 5 is the number of trials.

Since all of those conditions above are met, this means we have a binomial experiment.

Some textbooks may split up item #2 into two parts, but I chose to place them together since they are similar ideas.

8 0
3 years ago
Two lines or equations are described in each part. Decide whether each system has one solution, no solution, or infinitely many
Vedmedyk [2.9K]
It has no solution bc there or no point and because its not the same line 
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3 years ago
Determine the number that will complete the square to solve the equation after the constant term has been written on the right s
klemol [59]

Answer:

Step-by-step explanation:

Hello, "the constant term has been written on the right side", it means that we add 18 to both sides to get.

x^2+3x-18=0\\\\x^2+3x=18\\\\\text{We can see the beginning of } (x+\dfrac{3}{2})^2 \\\\x^2+3x=(x+\dfrac{3}{2})^2-\dfrac{3^3}{2^2}=18\\\\(x+\dfrac{3}{2})^2=18+\dfrac{9}{4}=\dfrac{18*4+9}{4}=\dfrac{81}{4}

Hope this helps.

Thank you.

6 0
3 years ago
Read 2 more answers
Write the third missing congruent statement that will allow us to prove the triangles congruent by SAS.
musickatia [10]

Answer:

LOOK AT YOUR ANSWER IN PICTURE

8 0
3 years ago
I need help with the incorrect ones please
Morgarella [4.7K]

Answer:

73.6

61.824

.2776

2.3

1.342

.4129

*note* I had trouble reading the standard deviation of the second part, so if it's not 3 then leave a comment and i will fix it*

Step-by-step explanation:

1.)

the mean would be something like 460*.16= 73.6

The variance should be 460*.16(1-.16)= 61.824 which means the standard deviation is √61.824= 7.863

for p to be less than .15 it would have to be less than .15*460= 69

(69-73.6)/7.863= -.59 which has a probability of .2776

2.)

the mean is 2.3

I am not sure if the standard deviation is 3 or .3 (picture is kind of blurry)

I am thinking that it's three which would mean that the standard deviation would be √(3²*(1/5))= 1.342

(2-2.3)/1.342= -.22 = .4129

5 0
2 years ago
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