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2 years ago

Find the value of x that will make A||B 9x + 4 5x + 20 x = [?]

Mathematics

2 answers:

hram777 [196]2 years ago

7 0

Answer:

142 is x

Step-by-step explanation:

by creatin the inequality 14x+24=180 we know that and straight line is 180 degrees and 14x is 9x+5x and 24 is 20 +4. we can now solve by doing the following below:

14x+24=180

-24 | -24

180-24=156

bring down the 14x now we have

14x=156

-14 | -14

156-14 is 142 so x=142

mrs_skeptik [129]2 years ago

4 0

9x + 4= 5x + 20 (alternate interior angles)

9x-5x =20-4

4x = 16

x= 16/4

x= 4

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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

Find the value of x 15x-14y=12*y/x

nirvana33 [79]

Answer:

x=1.5 or 0.5

Step-by-step explanation:

Not sure if I am correct

3 0

3 years ago

What is the solution to the equation?

ki77a [65]

$5(8 + 7) = 5\cdot x + 5 \cdot 7\\
5\cdot15=5x+35\\
75=5x+35\\
5x=40\\
x=8 \Rightarrow D$

8 0

3 years ago

Solve for w. <br><br> 1/3w + 5/6w - 2 = -w

Scorpion4ik [409]

Answer: $w=\frac{12}{13}$

Step-by-step explanation:

To solve for w, we want to isolate the variable.

$\frac{1}{3}w +\frac{5}{6}w-2=-w$ [add both sides by 2 and w]

$\frac{1}{3}w +\frac{5}{6}w+w=2$ [convert to same denominator]

$\frac{2}{6}w +\frac{5}{6}w+\frac{6}{6} w=2$ [add]

$\frac{13}{6} w=2$ [multiply both sides by 6/13]

$w=\frac{12}{13}$

Now we know that $w=\frac{12}{13}$ .

6 0

3 years ago

Read 2 more answers

4.5x+ 7/9 x+2 1/3 + 1/6 x=5 1/18<br> What is the answer?? How would you solve it?? Please help!!

Travka [436]

18 is the least common denominator of all the fractions, so you can eliminate fractions by multiplying the equation by 18.

(4.5*18)x +((7/9)*18)x + (2 1/3)*18 + ((1/6)*18)x = (5 1/18)*18
81x +14x +42 +3x = 91 . . . . . simplify

Collect terms.
98x + 42 = 91
98x = 49 . . . . . . . . . subtract 42
x = 49/98 = 1/2

The solution is x = 1/2.

_____
You can also do the arithmetic with mixed numbers and fractions. The usual methods apply.
(4.5 + 7/9 + 1/6)x + 2 1/3 = 5 1/18
(49/9)x + 7/3 = 91/18
(49/9)x = 49/18 . . . . . . . subtract 7/3
x = (9/49)(49/18) = 9/18 = 1/2 . . . . . multiply by 9/49
This can be a little more tedious than the method above, but it works and it will give you the right answer. A calculator that works with fractions can make this solution as easy as the other one.

7 0

3 years ago