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pshichka [43]
2 years ago
11

Which of the following steps can be performed so that the square root property may easily be applied to 2x2 = 16? (1 point)

Mathematics
2 answers:
NeTakaya2 years ago
8 0

Answer:

Option 2

Step-by-step explanation:

2x² = 16

Since x is completely squared and and 2 isn't , so we need to divide both sides by 2. As to find x , we need to "isolate" x first so that is why we need to get rid of 2 with the x². We'll divide both sides by 2 in order to get rid of 2.

Dividing both sides by 2

=> x² = 8

Now , that is the x is isolated so we'll take square root on both sides

=> x = ±2√2

Ivan2 years ago
7 0

Answer:

\Large \boxed{\mathrm{Option \ 2}}

Step-by-step explanation:

2x^2 =16

The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property.

The x variable should be isolated on one side of the equation. The x variable is squared so before performing the square root property where we take the square root of both sides, we divide both sides by 2, then take the square root of both sides.

Dividing both sides by 2.

\displaystyle \frac{2x^2 }{2} =\frac{16}{2}

x^2 =8

Taking the square root of both sides.

\sqrt{x^2 } =\pm \sqrt{8}

x=\pm 2\sqrt{2}

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Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog
lara31 [8.8K]

Answer:

SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048

If we replace the values obtained we got:

0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257

0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443

The 95% confidence interval would be given by (0.257;0.443)

Step-by-step explanation:

Notation and definitions

X=35 number of people that agree.

n=100 random sample taken

\hat p=\frac{35}{100}=0.35 estimated proportion of people that agree

p true population proportion of peopl that agree

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

The standard error is given by:

SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048

If we replace the values obtained we got:

0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257

0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443

The 95% confidence interval would be given by (0.257;0.443)

6 0
3 years ago
Read 2 more answers
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nata0808 [166]

Answer:

$4,650

Step-by-step explanation:

8 0
2 years ago
A parrot is selling for 40% off the original price. the original price was $90.what is these price of the parrot
BigorU [14]
40 percent off of $90 is $36.

8 0
3 years ago
Use what you know about decimals or fractions to explain why (0.2)•(0.002)=0.0004
strojnjashka [21]

Answer:

So any time you are multiplying something, you are making "groups of"

so 3 groups of 2 = 6, 4 groups of 3 = 12

But with decimals or fractions, because they are a value less than zero, the numbers become increasingly small instead of bigger, like standard multiplication.

So for example, 1 group of 1/2 = 1/2

2 groups of 1/4 = 1/2

and so on

hope this helps!

6 0
2 years ago
I don't get this... someone explain this plum thing please...... Before a plum is dried to become a prune, it is 92% water. A pr
taurus [48]

Answer:

21.74 But if it tells you to round I would round to 21 lbs

Step-by-step explanation:

its basically just a ratio of 92 to 20

92/20=4.6

92-20=72% the amount that is lost

so given that the plum is 100 lbs we know that 72% is depleted

(72/92 = .78)X100= 78 lbs depleted

Lastly 100-78 =22 for the remaining weight of the prunes.

4 0
2 years ago
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