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ladessa [460]
3 years ago
6

Explain why the equation (x-6)^-13=12 has two solutions. Then solve the equation to find the solutions. Show your work.

Mathematics
1 answer:
Gala2k [10]3 years ago
4 0

Answer:

x = 10 and x = (-2) are the solutions.

Step-by-step explanation:

In the given equation (x - 4)² - 28 = 8

we will first find the zero factors which will further decide the number of solutions.

(x -4)² - 28 = 8

(x - 4)² -28 - 8 = 8 - 8 (By subtracting 8 on both the sides of the equation)

(x - 4)² - 36 = 0

(x - 4)²- 6² = 0

(x - 4 - 6)(x - 4 + 6) = 0

(x - 10)(x + 2) = 0

Now the equation only two zero factors or two solutions.

x = 10 and x = -2

Answer is two solutions only x = 10 and x = (-2)

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Please help top and bottom.
Helga [31]
1. Perimeter
22a + 2(6a + 8) -4 = p

[I got 22a from 12a + 10a]

2. If p = 250, what is a?

22a + 2(6a + 8) - 4 = 250
Distributive property
22a + 12a + 16 - 4 = 250
Add like terms
34a + 12 = 250
Subtract 12 by both sides
34a = 238
Divide 34 by both sides
a = 7
3 0
2 years ago
2. <br> NEED HELP ASAP WILL GIVE BRAINLY
OLga [1]

Answer:

47.04 square feet

Step-by-step explanation:

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3 years ago
A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the s
Cloud [144]

Answer:

z=\frac{13-20}{4}=-1.75

Assuming:

H0: \mu \geq 20

H1: \mu

p_v = P(Z

Step-by-step explanation:

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".

Let X the random variable of interest (number of correct answers in the test), on this case we now that:

X \sim Binom(n=100, p=0.2)

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!}

We need to check the conditions in order to use the normal approximation.

np=100*0.2=20 \geq 10

n(1-p)=20*(1-0.2)=16 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=100*0.2=20

\sigma=\sqrt{np(1-p)}=\sqrt{100*0.2(1-0.2)}=4

So we can approximate the random variable X like this:

X\sim N(\mu =20, \sigma=4)

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  The letter \phi(b) is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: \phi(b)=P(z

The z score is given by this formula:

z=\frac{x-\mu}{\sigma}

If we replace we got:

z=\frac{13-20}{4}=-1.75

Let's assume that we conduct the following test:

H0: \mu \geq 20

H1: \mu

We want to check is the score for the student is significantly less than the expected value using random guessing.

So on this case since we have the statistic we can calculate the p value on this way:

p_v = P(Z

5 0
3 years ago
Complete the following statements using m(x) = x² and n(x) = x – 3.
Furkat [3]

Answer: x-3, 3, is not equal to

Step-by-step explanation:

8 0
3 years ago
Three equivalent ratios for 6: 54
vodka [1.7K]
Treat it as a fraction where it must stay equal
6/54
with fractions, you can do anything as long as you do it so top and bottom
so 6/54=1/9=2/18=3/27=4/36=5/45 etc

but don't forget to convert back to ratios
so some examples are 1:9
2:18
3:27
4:35
5:45

4 0
3 years ago
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