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3 years ago

Solution to this inequality 12<8+x

Mathematics

2 answers:

ra1l [238]3 years ago

6 0

Answer:

x > 4 or 4<x

Step-by-step explanation:

12<8+x

You can rewrite it for easier look:

8+x>12

Suvtract 8 from both side:

8+x-8>12-8

0+x > 4

x > 4 or 4<x

Hope this help you :3

IgorLugansk [536]3 years ago

5 0

For this case we must resolve the following inequality:

$12$

Rewriting equivalently, we have:

$x + 8> 12$

Subtracting 8 from both sides of the inequality:

$x + 8-8> 12-8\\x> 4$

Thus, the solution is given by all the values of "x" greater than 4:

(4, ∞)

Answer:

$x> 4$

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Answer: 6:15 PM

Step-by-step explanation: 3:55 + 15 + 60 = 5:10

5:00 + 5 + 60 = 6:15

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3 years ago

Counting from 1 to 100, how many 6s will you encounter?

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3 years ago

Find the value of x. (Type an integer or decimal.)

SOVA2 [1]

Answer:

Step-by-step explanation:

An angle formed by 2 tangent lines is equal to one half the measure of the major arc minus the measure of the minor arc.

we are given the minor arc ( 110 ) however we are not given the major arc.

Because circles make a 360 degree rotation we can find the major arc by subtracting the measure of the minor arc from 360

Thus, major arc = 360 - 110 = 250

Now that we have identified the major and minor arc we can find x

Recall that x = 1/2 ( major arc - minor arc )

Thus, x = 1/2 ( 250 - 110 )

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Hence, x = 70

6 0

2 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

3 years ago

Which of the following fractions is equivalent to 0.45?<br> 45/1000<br> 3/10<br> 9/20<br> 5/9

-Dominant- [34]

In Order To Find The Answer To this quetsion,you have to divide each set of fractions by them selfs and there for 9/20 and 45/1000 are the closest ones.
Divide 45/1000=0.045 but Divide 9/20=0.45 and that is your answer.

8 0

3 years ago

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