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Snowcat [4.5K]
3 years ago
8

Solve x2 - 4x + 6 = 0 by completing the square

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0
2x-4x+6=0
2x+6=0
2x=6
x=3
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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that
Llana [10]

Answer:

We need a sample size of at least 170.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population(square root of the variance) and n is the size of the sample.

How large of a sample would be required in order to estimate the mean per capita income at the 80%80% level of confidence with an error of at most $0.52$ 0.52?

A sample size of at least n, in which n is found when M = 0.52, \sigma = \sqrt{34.81} = 5.9

So

M = z*\frac{\sigma}{\sqrt{n}}

0.58 = 1.28*\frac{5.9}{\sqrt{n}}

0.58\sqrt{n} = 1.28*5.9

\sqrt{n} = \frac{1.28*5.9}{0.58}

(\sqrt{n})^{2} = (\frac{1.28*5.9}{0.58})^{2}

n = 169.5

Rounding up

We need a sample size of at least 170.

6 0
3 years ago
Brainliest
Zina [86]

Answer:

c=20h-15

Step-by-step explanation:

It is so because you are taking 15 dollars of the cost.

4 0
3 years ago
Read 2 more answers
What is the ratio 5/7 to 2/7
puteri [66]

Answer: What is the ratio of 7 to 2?

Students learn that a ratio is a comparison of two numbers or quantities. For example, if there are 2 shaded parts of a picture and 7 unshaded parts, the ratio of shaded parts to unshaded parts is 2 to 7. Note that the ratio 2 to 7 can also be written as 2:7 or 2/7

What is the ratio of 7 to 5?

20 : 28

5 : 7 = 20 : 28. And 7 is a fourth of 28.

Step-by-step explanation:

8 0
3 years ago
Janine's credit card was stolen, and the thief charged a $44 meal using it before she reported it stolen. How much of this is Ja
barxatty [35]
The $44 meal was charged before Janine reported it as stolen. So the money would have left the account before the bank put any blocks on the credit card. So as a result, Janine is responsible for paying $44
7 0
3 years ago
What is the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8?
o-na [289]

Answer:

0.40

Step-by-step explanation:

to find out the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8

Let A = sum of dice is 8

B = one lands in 5

P(B/A) = P(AB)/P(A) by conditional probability

P(AB) = sum is 8 and one is 5

So (5,3) or (3,5)

P(A) = sum  is 8.

i.e. (2,6) (2,6) (3,5) (5,3) (4,4)

Required probability

= n(AB)/n(A)

=\frac{2}{5} =0.40

4 0
3 years ago
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