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2 years ago

Choose the constant term that completes the perfect square trinomial. y 2 + 8y

Mathematics

2 answers:

Ivenika [448]2 years ago

6 0

Answer:

Step-by-step explanation:

A perfect square trinomial is a three-term polynomial (also called a trinomial) that results from squareing a binomial. Every trinomial of the form: <em> $a^{2} +2ab+b^{2}$ ,</em> It is a perfect square trinomial.

In this case, it is necessary to <em>divide the intermediate value of 8 by 2, and then square it, </em>obtaining the result.

White raven [17]2 years ago

4 0

8 divided by 2=4 then square the 4

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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:

$\mu = 10.634 - 1.28\sigma$

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

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

$3.24\sigma = 0.8885$

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

$\sigma = 0.2742$

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

Which property is illustrated by equation ax + ay = a(x'+ y) ?

Y_Kistochka [10]

Not sure what x' means but
seems to be the reverse distributive property
normally written as
a(b+c)=ab+ac
we can see the similarity
a(x'+y)=ax+ay

distributive property

6 0

2 years ago

Sort this number out 200000065

nydimaria [60]

000000256 I think because I don't know what you mean by sort it.

6 0

2 years ago

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Need help again please

quester [9]

Answer:

Step-by-step explanation:

6 0

2 years ago

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Please help and hurry please

scoundrel [369]

Answer:

Add 4 positive unit tiles to each side.

Step-by-step explanation:

The original equation is:

3x - 4 = 2x + 5

After adding 4 positive unit tiles to each side, we get:

3x - 4 + 4 = 2x + 5 + 4

3x = 2x + 9

which simplifies the original equation, because at the beginning there were independent terms at both sides of the equal sign and now all independent terms are on the right side (the +9 term). Notice that the other options don't give this result.

8 0

2 years ago

Read 2 more answers