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Aneli [31]
3 years ago
15

What are the solutions to the equation x2-12x + 20 = –20?

Mathematics
2 answers:
ladessa [460]3 years ago
5 0

x = 2, 10

Solve value of x by factoring, getting

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

kondaur [170]3 years ago
3 0
Standard: x=4
implicit: x-4=0
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The mean rent of a 3-bedroom apartment in Orlando is $1300. You randomly select 10 apartments around town. The rents are normall
lana [24]

Answer:

96.49% probability that the mean rent is more than $1100

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 1300, \sigma = 350, n = 10, s = \frac{350}{\sqrt{10}} = 110.68

What is the probability that the mean rent is more than $1100?

This is 1 subtracted by the pvalue of Z when X = 1100. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{1100 - 1300}{110.68}

Z = -1.81

Z = -1.81 has a pvalue of 0.0351

1 - 0.0351 = 0.9649

96.49% probability that the mean rent is more than $1100

7 0
3 years ago
How many states were added in the US between 1795 and 1855
Stels [109]
There were 16 states added. 
Tennessee, Ohio, Louisiana, Indiana, Mississippi, Illinois, Alabama, Maine, 
Missouri, Arkansas, Michigan, Florida, Texas, Wisconsin, and California

7 0
3 years ago
What is the total of a $12,50 item plus 6% sales tax
balandron [24]
It’s is 20,0000 but it think that’s wrong
6 0
3 years ago
Read 2 more answers
M<1 and m<2 are vertical angles if m<1 = 106° and M<2 equals 20x - 14 find M<2
just olya [345]

Answer:

Answer:

m∠2= 86

Step-by-step explanation:

since they are vertical angles, that means they are both equal to eachother.

so lets set them equal!

17x+1=20x-14

17x+15=20x

15=3x

x=5

now input x into m∠2

m∠2 = 20(5) – 14 = 86

Step-by-step explanation:

5 0
2 years ago
A small water bottle holds 75% as much as a large water bottle.
Radda [10]
The answer is 48 units. You do 36 / 75% it is 48. You can also check your answer by doing 48 times 75%, which would equal 36.
8 0
2 years ago
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