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3 years ago

What is a square root inequality?

Mathematics

2 answers:

Eduardwww [97]3 years ago

4 0

Answer:

(Figure 1) Hence squaring both sides of an inequality will be valid as long as both sides are non-negative. Since square roots are non-negative, inequality (2) is only meaningful if both sides are non-negative. ... Hence, squaring inequalities involving negative numbers will reverse the inequality.

Step-by-step explanation:

Hope this helps have a ncie day :)

Ksivusya [100]3 years ago

4 0

Answer:

Hence squaring both sides of an inequality will be valid as long as both sides are non-negative. Since square roots are non-negative, inequality

Step-by-step explanation:

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“Angle 7 and angle 8 are complementary. Angle 5 ≅ angle 8 and the measure of angle 6 = 29. Show your work to find the measure of

steposvetlana [31]

<5 and <6 are also complimentary

$\\ \rm\longmapsto$

<7=<6=29°

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F(x) = 20 - x What is the y intercept

erma4kov [3.2K]

Answer: The y intercepts are: ( 0, 20 )

Step-by-step explanation:

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3 years ago

Find the distance between points P(1, 2) and Q(4, 8) to the nearest tenth. i neeeeeed help

Stella [2.4K]

The answer is
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2 years ago

In a random sample of 80 teenagers, the average number of texts handled in a day is 50. The 96% confidence interval for the mean

Nastasia [14]

Answer:

a) $\bar X =\frac{46+54}{2}=50$

And the margin of error is given by:

$ME= \frac{54-46}{2}= 4$

The confidence level is 0.96 and the significance level is $\alpha=1-0.96=0.04$ and the value of $\alpha/2 =0.02$ and the margin of error is given by:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

We can calculate the critical value and we got:

$z_{\alpha/2} = 2.05$

And if we solve for the deviation like this:

$\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}$

And replacing we got:

$\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45$

b) $ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828$

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor $\sqrt{2}$

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".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n=80 represent the sample size

Solution to the problem

Part a

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

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

For this case we can calculate the mean like this:

$\bar X =\frac{46+54}{2}=50$

And the margin of error is given by:

$ME= \frac{54-46}{2}= 4$

The confidence level is 0.96 and the significance level is $\alpha=1-0.96=0.04$ and the value of $\alpha/2 =0.02$ and the margin of error is given by:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

We can calculate the critical value and we got:

$z_{\alpha/2} = 2.05$

And if we solve for the deviation like this:

$\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}$

And replacing we got:

$\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45$

Part b

For this case is the sample size is doubled the margin of error would be:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828$

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor $\sqrt{2}$

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2 years ago

Given the triangle below, answer the following:

OLEGan [10]

Answer:

Step-by-step explanation:

question no . 5

ratio of angle L

take angle as reference angle

using cos rule

cos L = base / hypotenuse

= 4/5

ratio of angle N

take angle N as reference angle

using sin rule

sin N = opposite / hypotenuse

= 4/5

for measure of angle L

cos L = 4/5

cos L = 0.8

L = $cos^{-1}(0.8)$

L = 36.9

for meanure of angle N

sin N = 4/5

sin N = 0.8

N = $sin^{-1}(0.8)$

N = 53.1

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2 years ago

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