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2 years ago

9

2 (x - 1/2) = 8+2x How many solution does this equation have

1 answer:

g100num [7]2 years ago

3 0

Answer:

4

Step-by-step explanation:

You might be interested in

The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista

baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

Step-by-step explanation:

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.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

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

$1.28 = \frac{10.634 - \mu}{\sigma}$

$10.634 - \mu = 1.28\sigma$

$\mu = 10.634 - 1.28\sigma$

5% having a resistance smaller than 9.7565 ohms.

This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.

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

$-1.96 = \frac{9.7565 - \mu}{\sigma}$

$9.7565 - \mu = -1.96\sigma$

$\mu = 9.7565 + 1.96\sigma$

We also have that:

$\mu = 10.634 - 1.28\sigma$

So

$10.634 - 1.28\sigma = 9.7565 + 1.96\sigma$

$1.96\sigma + 1.28\sigma = 10.645 - 9.7565$

$3.24\sigma = 0.8885$

$\sigma = \frac{0.8885}{3.24}$

$\sigma = 0.2742$

The mean is

$\mu = 10.634 - 1.28\sigma = 10 - 1.28*0.2742 = 9.65$

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

8 0

3 years ago

How many cups of flour do you need for 3 cups of cashews fill in the information in the table. Thanks

Andrei [34K]

Answer:

gh

Step-by-step explanation:

4 0

2 years ago

I need help thank you

erma4kov [3.2K]

Answer:

≈ 5

Step-by-step explanation:

<u><em>You can use the Pythagorean Theorem to solve this:</em></u>

$a^{2} + b^{2} = c^{2}$

<u><em>Now plug in the numbers into the formula:</em></u>

$6^{2} + b^{2} = 8^{2}$

36 + $b^{2}$ = 64

<u><em>Subtract 36 from both sides:</em></u>

36 + $b^{2}$ = 64

-36 -36

_________

$b^{2}$ = 28

<em><u>Square both sides:</u></em>

$\sqrt{b^2} = \sqrt{28}$

b = 5.29

b ≈ 5

4 0

2 years ago

What is the value of z which makes the expression x2 - 16x + x equivalent to ( x- 8 ) 2

diamong [38]

Answer:

x=64

Step-by-step explanation:

* change equivalent to to = *

now we have x² - 16x + x = (x-8)²

step 1 simplify both sides

(x)²=x²

-8x*2=16x

8=64

-16x + x = 15x

now we have x² -15x = x² - 16x + 64

step 2 subtract x² from each side

x² -x² = 0

x² - x² cancels out

now we have -15x = -16x + 64

step 3 add 16x to each side

-15x + 16x = x

-16x + 16x cancels out

we're left with x = 64

7 0

2 years ago

What is 2x+x+x+2y×3y×y simplified

Reil [10]

Answer:

4x+6y³

Step-by-step explanation:

give me thanks, please;)

3 0

3 years ago

Read 2 more answers