Complete the table for the following function y = (one-third) Superscript x x -3 -2 -1 0 1 2 3 y 3 1 One-third Graph the function and describe what the graph looks like. a. Increases in Quadrant I b. Increases from left to right c. Decreases from left to right d. Decreases in Quadrant III

Answer:

0.9332 = 93.32% probability that the mean of the sample will be less than 12.1 ounces.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 12 ounces and a standard deviation of 0.2 ounces.

This means that [tex]\mu = 12, \sigma = 0.2[/tex]

Sample of 9:

This means that [tex]n = 9, s = \frac{0.2}{\sqrt{9}}[/tex]

Find the probability that the mean of the sample will be less than 12.1 ounces.

This is the pvalue of Z when X = 12.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{12.1 - 12}{\frac{0.2}{\sqrt{9}}}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.9332

0.9332 = 93.32% probability that the mean of the sample will be less than 12.1 ounces.

Answer:

Step-by-step explanation:

[tex]x=\frac{D_{1}}{D} \\y=\frac{D_{2}}{D}[/tex]

The measure of other supplementary angle where one angle is 100° is 80°

In the above question, it is given that two angles are supplementary angles and,

Two angles are said to be supplementary angles if their sum is 180 degrees.

We have,

The measure of one angle is = 100°

Let the angle which needs to be find as ∠x

That means, we need to find the measure of ∠x

So, according to the supplementary angles property,

100° + ∠x = 180°

∠x = 180 - 100

∠x  = 80°

Hence,  the measure of other supplementary angle where one angle is 100° is 80°

To learn more about, supplementary angles, here

https://brainly.com/question/18164299

#SPJ1

Answer:

Option A, B, C and D should be your answer.

Step-by-step explanation:

I'm sorry if my answers are wrong.

Answer:

Yes, it's when the tank is out of water.  

Step-by-step explanation:

Answer:

1.) up

2.) (-2,-5)

3.) x = -2

4.) (-2,-5)

5.) y = -5

6.) -∞ < x < ∞

7.) -5 < y < ∞

8.) (0,0)

9.) (0,0) and (-4,0)

10.) two solutions

Step-by-step explanation:

1.) because the parabola opens upward and the vertex is down

2.) the lowest point of the parabola is (-2,-5)

3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).

4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.

5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.

6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.

7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.

8.) The parabola first crosses the y-axis at the point (0,0)

9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)

10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.

Does this help you?

Answer:

The wife IQ is 103 when the husband IQ is 100.

Step-by-step explanation:

The given equation of the regression line is y = -11 + 1.14x, where x represents the IQ score of the husband.

If the husband IQ is 100 the the wife IQ is

y = -11 + 1.14x,

y = -11 + 1.14(100)

y = -11 + 114

y = 103

Answer: 6.1

Step-by-step explanation:

Answer:

6.1

Step-by-step explanation:

have a good day/night may i please have a branlliest

Answer:

Sam is incorrect because you would not add the two times together. Hence there being 2 people working it would take you guys less time. You would actually subtract the times to get 5 minutes

Step-by-step explanation:

Answer:

Sam 's thinking is incorrect.

Step-by-step explanation:

Because If Sam takes 10 minutes to paint 25 square feet, then 5 minutes will be paint 12.5 sf... So if 15 minutes will paint 37.5 square feet. (by Sam)

---For me: if 5 mutes to paint 25 square feet.--->10 minutes will be 50 sf---> then 15 minutes will paint 75 square feet...

So If Same and I paint together will be 12.5 + 75 = 112.5 square feet
---Not 50 square feet...

What Sam says is incorrect....He can't add times together., that' s wrong.

Answer:

C) 2

Step-by-step explanation:

Emma: Range  = 8

Arianna: Range = 6

The difference in the range is 2 (8-6)

Answer:

C) 2

Step-by-step explanation:

Emma:

Max = 20

Min = 12

Range = 20 - 12

Range = 8

Arianna:

Max = 18

Min = 12

Range = 18 - 12

Range = 6

Difference between the 2 ranges:

8 - 6 = 2

Answer:

Where r the statements?

Step-by-step explanation:

Answer:

m<1 = 137

Step-by-step explanation:

Exterior angles thm:

41 + 96 = m<1

m<1 = 137

Step-by-step explanation:

Arc AD = 70

< D = 98

So

Arc BC = 2 * < D ( relation between arc and inscribed angle)

= 2 * 98

= 196

Hope it will help :)❤

Answer:

in my panies

Step-by-step explanation:

Answer:

2 times

Step-by-step explanation:

Khan Academy

You can use the formula for margin of error and the fact that the point estimates of both the samples are same to calculate the ratio of margin of errors of both the samples.

The margin of error from the smaller sample will be about double of the margin of error from the larger sample.

[tex]MOE_1 = 2 \times MOE_2[/tex]

Let the level of significance be [tex]\alpha[/tex] and the standard deviation of the population be [tex]\sigma[/tex] and the sample size be n, then we have:

[tex]\text{MOE(Margin of Error)} = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}[/tex]

For first sample :

[tex]\text{Sample size} = n_1 = 1000\\\\MOE_1 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}[/tex]

For second sample :
[tex]\text{Sample size} = n_1 = 1000\\\\MOE_2 = Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}[/tex]

(since it was given that they have same point estimates, so same standard deviation)

Their ratios are given by

[tex]\dfrac{MOE_2}{MOE_1} = \dfrac{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{4000}}}{Z_{\alpha/2}\dfrac{\sigma}{\sqrt{1000}}} = \sqrt{\dfrac{1000}{4000}} = \dfrac{1}{2}\\\\\\MOE_1 = 2 \times MOE_2[/tex]

Thus,

The margin of error from the smaller sample will be about double of the margin of error from the larger sample.[tex]MOE_1 = 2 \times MOE_2[/tex]

Learn more about margin of error here:

https://brainly.com/question/13990500

Answer:

The locations of each irrational number are the following:

[tex]\sqrt{16}[/tex] - Point [tex]a[/tex]

[tex]\sqrt{27}[/tex] - Point [tex]b[/tex]

[tex]\sqrt{32}[/tex] - Point [tex]c[/tex]

Step-by-step explanation:

[tex]\sqrt{16}[/tex] is an irrational number that is also rational, since [tex]4^{2} = 16[/tex]. Then, [tex]\sqrt{16}[/tex] must be point [tex]a[/tex].

Both [tex]\sqrt{27}[/tex] and [tex]\sqrt{32}[/tex] are greater than [tex]\sqrt{25} = 5[/tex] and less than [tex]\sqrt{36} = 6[/tex]. Then, both are between 5 and 6. Since [tex]\sqrt{27} < \sqrt{32}[/tex], [tex]\sqrt{27}[/tex] must be point [tex]b[/tex] and [tex]\sqrt{32}[/tex] must be point [tex]c[/tex].

Answer:

yes

Step-by-step explanation:

Answer:

YES IT IS!!

Step-by-step explanation:

!!

it just says hi answer as fast as you where is the question

Answer:

k = 7

Step-by-step explanation:

63 ÷ 9 = 7

Answer:

$30

Step-by-step explanation:

The formula for interest is I = Prt

Principal = 600

Rate = 0.05 or 5%

Time: 1 year

600 x 0.05 x 1 = 30

She earned an interest of 30.

Answer:

Diagonal length = 8.59

Step-by-step explanation:

To find the diagonal length, we need the length of the sides. We find the length of the sides by finding the square root of 36, which is 6. Then, we use this equation (see attached image)

Answer:20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Let N be the number

"Is" in this case is =      

"Of" means "multiply"

So we got

6 = .3N     divide both sides by .3

6/.3 = 20

N=20

Answer:

Using Pythagoras Theorem, squareroot 15^2 - 5^2.

After you found the opposite length, use the cosine rule to find angle x.

Answer:

3

Step-by-step explanation:

B

Step-by-step explanation:

In a year, offer B would be more. Since annually is once a year and there are 12 months in a year, multiplying B by 12 would get each to a year.

Answer:

20 - 6x = 4x - 15

35 - 6x = 4x

35 = 2x

x = 15.5

The solution to the equation 20 - 6x = 4x -15 is x = 3.5.

To solve the equation 20 - 6x = 4x - 15,

20 - 6x = 4x - 15

To isolate the variable terms on one side,  add 6x to both sides:

20 - 6x + 6x = 4x - 15 + 6x

20 = 10x - 15

Next, add 15 to both sides to further isolate the variable term:

20 + 15 = 10x - 15 + 15

35 = 10x

Finally, divide both sides by 10 to solve for x:

35/10 = 10x/10

3.5 = x

Therefore, the solution to the equation is x = 3.5.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ6

Answer:

A. 6+24p

Step-by-step explanation:

=(3)(2+8p)

=(3)(2)+(3)(8p)

=6+24p

=24p+6

Answer:

desculpa mas eu não sei a resposta mais eu vou ver se posso te ajudar taaa