All categories

3 years ago

From the set {1, 12, 18}, use substitution to determine which value of x makes the equation true.

Mathematics

1 answer:

Crazy boy [7]3 years ago

6 0

Is it possible you messed up retyping the question, all answers offered are incorrect, the correct answer would be 14

You might be interested in

How are a common denominator and a common multiple alike and different?

victus00 [196]

East common multiple is the smallest multiple both numbers can go into. (Example: the LCM of 10 and 4 is 20, because both 10 and 4 go into 20 and 20 is the smallest number both 10 and 4 can go into. You could just multiply them both, but you'd get 40 and since its a bigger number it would be harder to work with.)

Least common denominator is just the least common multiple as a denominator. (Example: if you wanted to find the LCD of 5/7 and 1/10, you'd have to find the LCM of the demoniators (7 and 10) and then just use that as the denominator when adding fractions with unlikely denominators.) Sorry for such a long answer :P

3 0

3 years ago

Read 2 more answers

3 divided by 3/4 is what.

gizmo_the_mogwai [7]

2.25
ok?
I just need to write more because just the number is too short

7 0

3 years ago

Read 2 more answers

Total output is a synonym for

taurus [48]

In the question "Total output is a synonym for". The correct answer is production. Output in economics is the "quantity of goods or services produced in a given time period, by a firm, industry, or country", whether consumed or used for further production.

4 0

3 years ago

Answer: Need help with this plz

julsineya [31]

Answer:

(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)

10x+70=180

10x=110

x=11

(b) ∠C = 2x-10

= 2(11)-10

= 12°

8 0

2 years ago

From 19 measurements of a pressure controller, the mean operating pressure is 4.97 kPa with a standard deviation of 0.0461 kPa.

Semenov [28]

Answer:

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

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".

$\bar X =4.97$ represent the sample mean

$\mu$ population mean (variable of interest)

s=0.0461 represent the sample standard deviation

n=19 represent the sample size

Confidence interval

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=19-1=18$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,18)".And we see that $t_{\alpha/2}=2.10$

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

$4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95$

$4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99$

So on this case the 95% confidence interval would be given by (4.95;4.99)

5 0

3 years ago