Which equation demonstrates the distributive property?

Answer:

The 2 rays the form ACB ARE AC and CB

Answer:

a) The mean is 18 and the standard deviation is 1.79.

b) The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.

c) 0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.

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 18 and a standard deviation of 8.

This means that [tex]\mu = 18, \sigma = 8[/tex]

Sample of 20:

This means that [tex]n = 20, s = \frac{8}{\sqrt{20}} = 1.79[/tex]

(a) Calculate the mean and standard deviation of the sampling distribution of x¯.

By the Central Limit Theorem, the mean is 18 and the standard deviation is 1.79.

(b) Interpret the standard deviation from part (a).

The interpretation is that the standard deviation of the sample means of groups of 20 students will be of 1.79, which is the sample error, which is different from the population standard deviation.

(c) Find the probability that a sample of 20 students has a mean score of 19.5 or more.

This is 1 subtracted by the pvalue of Z when X = 19.5. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{19.5 - 18}{1.79}[/tex]

[tex]Z = 0.84[/tex]

[tex]Z = 0.84[/tex] has a pvalue of 0.7995

1 - 0.7995 = 0.2005

0.2005 = 20.05% probability that a sample of 20 students has a mean score of 19.5 or more.

Answer:

Step-by-step explanation:

Answer:

16^(3/2)=64

Step-by-step explanation:

Answer:

Shirt A, Skirt A, Shoe A

Shirt A, Skirt A, Shoe B

Shirt A, Skirt B, Shoe A

Shirt A, Skirt B, Shoe B

Shirt A, Skirt C, Shoe A

Shirt A, Skirt C, Shoe B

The number of ways Natalie has to choose outfits for her first day school is 28 ways.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, Natalie is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, and 2 pairs of shoes.

Let 7 pairs of pants be P1, P2, P3, P4, P5, P6 and P7.

Let 2 t-shirts be T1 and T2

Let 2 pairs of shoes be S1 and S2

Now,

1) P1, T1, S1                                      

2) P1, T2, S2

3) P2, T1, S1

4) P2, T2, S2

5) P3, T1, S1

6) P3, T2, S2

7) P4, T1, S1

8) P4, T2, S2

9) P5, T1, S1

10) P5, T2, S2

11) P6, T1, S1

12) P6, T2, S2

13) P7, T1, S1

14) P7, T2, S2

15) P1, T1, S2                                      

16) P1, T2, S1

17) P2, T1, S2

18) P2, T2, S1

19) P3, T1, S2

20) P3, T2, S1

21) P4, T1, S2

22) P4, T2, S1

23) P5, T1, S2

24) P5, T2, S1

25) P6, T1, S2

26) P6, T2, S1

27) P7, T1, S2

28) P7, T2, S1

Other way = 7×2×2

= 28 ways

Therefore, the number of ways is 28 ways.

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Answer:

b

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Answer:

t = 22[tex]\frac{2}{3}[/tex]

2t = 45[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

3t = 68

t = 68/3

Answer:

6 inches

Step-by-step explanation:

If 3 blocks equals 2 inches, then we must first find out how many times 3 can fit into 9. We do this by dividing 9 by 3 to get 3. To get your final answer just multiply 2 by 3 and you will get 6 inchs. I hope this helped :0

Answer:

17 and 22 edge 2021

Step-by-step explanation:

Answer:

comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.

Step-by-step explanation:

Based on the modern method of archeological findings used, it is the view of some scientists that the best plan to test the hypothesis (assumption) that early tetrapods might have evolved from lobe-finned fishes involves comparing the arrangements of bones in the fins of lobe-finned fishes and limbs of the earliest tetrapods.

Answer:

D [tex] (x +6) ^2 +(y-1)^2 =7 [/tex]

Step-by-step explanation:

Center of the circle (h, k) = (-6, 1)

Area of the circle [tex] =\pi r^2 [/tex]

[tex] 7\pi=\pi r^2 [/tex]

[tex] \frac {7\pi}{\pi} =r^2 [/tex]

[tex]r^2=7[/tex]

[tex]r=\sqrt 7[/tex]

Radius [tex] r=\sqrt {7}[/tex]

Equation of circle in center radius form is given as:

[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex] [x - (- 6)] ^2 +[y-1 ]^2 =(\sqrt {7})^2 [/tex]

[tex] (x +6) ^2 +(y-1)^2 =7 [/tex]

Answer:

C. 4x + x < 150

Step-by-step explanation:

x = Joey's points

4x = Liz's Points

together they have fewer than 150 points means the inequality is < 150

So the answer is:  4x + x < 150

Answer:

This may help you I think so

Answer:

2.9%

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

By using the fraction strip, if you think about it:

Pretend to color in 5/6 on the yellow side, and do the same to the 1/12 part, instead pretend to shade in 5/12. If you see how much remaining you have, you get 5/12.

Answer:

C

Step-by-step explanation:

y=2x-1 your welcome I need to put more characters so skdjdnnn

Answer:

Y=2x-1

Step-by-step explanation:

the three data sets all work for y=2x-1

-7=-6-1

-7=-7

or

-1=0-1

-1=-1

or

3=4-1

3=3

Answer:

hewo nice to meet ya

Step-by-step explanation:

hi hello

Answer:

Hola!

*Spanish*

Gracias por los puntos!

9514 1404 393

Answer:

  11.1

Step-by-step explanation:

The tangent makes a right angle with the diameter at the point of tangency. So, the triangle is a right triangle, and the Pythagorean theorem can be used to find the length of x. The radius is shown as 7.1, so the diameter will be 14.2.

  x^2 + 14.2^2 = 18^2

  x^2 = 122.36

  x = √122.36 ≈ 11.1

The length of the tangent is about 11.1 units.

Answer:

D- The blackcaps will begin nesting at their wintering sites in Spain or the United Kingdom, resulting in a larger blackcap population migrating back to Germany after the breeding season has ended.

Step-by-step explanation:

By the inhabitants of Spain and the United Kingdom placing feeders out for the blackcaps, the birds in their nesting sites during the winter will have food to eat, meaning a bigger population of the Blackcaps when they return to their main home in Germany.

This best predicts the effect on the blackcap population if humans in the United Kingdom continue to place food in feeders during the winter.

Answer:

4035 grams

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Well its a incomplete Question but i am solving a realted type Question .

• Find the slope of the line -3x - 4y = 12 :-

Ans ) The given equation can be converted into Slope intercept form , which is y = mx + c , where ,

⇒ -3x -4y = 12

⇒ -4y = 12 +3x

⇒ y = 3x + 12 /4

⇒ y = 3/4x + 12/3

⇒ y = ¾x + 4

⇒ m = ¾

⇒ c = 4

Answer:

8/17 or 47% or .47

Step-by-step explanation:

8 of them are blue or green and there are 17 total. So 8 out of 17 (8/17) are likely to be spun

The required probability is 8/17 that the spinner lands on blue or green.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that the circular spinner is split into 17 equal-sized sections. There are six red sectors, six blue sectors, three yellow sectors, and two green sectors.

The total number of outcomes. = 6 + 6 + 3 + 2

So n(S) = 17

Number of favorable outcomes i.e. (blue+green), n(E) = 6 + 2 = 8

Consider the experiment of once spinning the spinner.

The probability of the spinner landing on blue or green will be

⇒ P(E) = n(E)/n(S)

⇒ P(E) = 8/17

Therefore, the required probability is 8/17 that the spinner lands on blue or green.

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Answer:

The absolute value is 5 1/6

Step-by-step explanation:

The absolute value is how far away an answer is to zero so we just take away the negative for this question.

Answer:

[tex]f(x) = 5 {x}^{2} + 2x + 5 \\ when \: x = 2 \\ f(2) = 5( {2})^{2} + 2(2) + 5 \\f(2) = 29[/tex]

Based on the calculation below, the amount Max can be expected to have when he retires is $758,518.94.

The amount he will be expected to have when he retires can be calculated using the formula for calculating the future value of an ordinary annuity as follows:

FV = D * (((1 + r)^n – 1) / r) ……………………………….. (1)

Where;

FV = Future value or the expected amount when he retires = ?

D = Monthly deposit = $200

r = monthly average inflation adjusted stock market return = 7% / 12 = 0.07 / 12 = 0.00583333333333333

n = number of months = (67 -  22) * 12 = 540

Substituting the values into equation (1), we have:

FV = $200 * (((1 + 0.00583333333333333)^540 – 1) / 0.00583333333333333)

FV = $758,518.94

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Answer:

Step-by-step explanation:

Sin(35) =  opposite / hypotenuse

Sin(35) = 4 / hypotenuse                  Multiply both sides by the hypotenuse

hypotenuse * sin(35) = 4                  Divide by Sin(35)

hypotenuse = 4/Sin(35)

Sin(35) = 0.5736

hypotenuse = 4/0.5736

hypotenuse = 6.9737

Rounded answer 6.97