Simplify the following expression and show your work in details please .

Using the normal probability distribution and the central limit theorem, it is found that there is a 0.04 = 4% probability that the mean ticket price exceeds $35.

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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.

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Central Limit Theorem

The Central Limit Theorem establishes 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.  

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The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62.

This means that [tex]\mu = 32.61, \sigma = 8.62[/tex]

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Sample of 40:

This means that [tex]n = 40, s = \frac{8.62}{\sqrt{40}}[/tex]

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In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35.

This is 1 subtracted by the p-value of Z when X = 35, so:

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

By the Central Limit Theorem

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

[tex]Z = \frac{35 - 32.61}{\frac{8.62}{\sqrt{40}}}[/tex]

[tex]Z = 1.754[/tex]

[tex]Z = 1.754[/tex] has a p-value of 0.96.

1 - 0.96 = 0.04

0.04 = 4% probability that the mean ticket price exceeds $35.

A similar question is given at https://brainly.com/question/24342706

9514 1404 393

Answer:

  P = 4z +5

Step-by-step explanation:

The side lengths are given as (z), (z+5), (2z). The perimeter is the sum of the side lengths:

  P = z +(z +5) +2z

  P = 4z +5

Using the z-distribution, the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins is:

D. (48.9%, 55.1%)

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]\pi = 0.52, n = 1000[/tex]

Hence the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]

As a percentage, option D is correct.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Answer:

8*(-4)^(n-1)

Step-by-step explanation:

The common ratio is - 32/8 = - 4, the first term being 8. The formula will be 8*(-4)^(n-1).

Answer:

C. $11.55

Step-by-step explanation:

First, multiply 4 by $0.85 to get an answer of $3.40. Next, multiply 6 by $1.25 to get an answer of $7.50. Add up the cost of the pencils and pens by adding $3.40 and $7.50 to get $10.90. Next, we have to add the tax. Multiply $10.90 by 0.06 to get $.65. Add the $.65 to the $10.90 for a grand total of $11.55. Hope this helps!

Answer: Choice B

[tex]x^{1/8}y^{8}[/tex]

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Explanation:

The two rules we use are

[tex](a*b)^c = a^c*b^c[/tex]

[tex](a^b)^c = a^{b*c}[/tex]

When applying the first rule to the expression your teacher gave you, we can say that:

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]

Then applying the second rule lets us say

[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]

Therefore,

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]

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In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

Answer:

Step-by-step explanation:

The probability of breakdown

Concrete mixer is 1/4, dumper 1/6, and hoist 1/8.

1. All machines breakdown.  

1/4 +1/6 + 1/8 = 13/24

2. 2 machines break down

CM and D 1/4 + 1/6 = 5/12

CM and H 3/8

D and H 7/24

Answer:

2,560

Step-by-step explanation:

necesitas sumar 4 veces 640 o multiplicar 4×640

Answer:

The answer is 6000 days.

Answer:

The second number line would be represented by the equation

Answer:

19

Step-by-step explanation:

There are 38 points total, each field goal is 2 points.

If we do 38/2 we get 19.

Image has work...

[tex]\frac{38}{2}[/tex]

Answer:

Longer Leg = 5

Shorter Leg = 144

Hypotenuse = 169

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

Multiply [tex]\frac{1}{2}[/tex] times [tex]\frac{5}{6}[/tex] by multiplying the numerator times the other numerator and the denominator by the other denominator. Which leaves you with [tex]\frac{5}{12}[/tex].

hope this helps!

Answer: A

Hello,

Step-by-step explanation:

center =(-3,1)

a=2

b=7

[tex]\dfrac{(x+3)^2}{4} +\dfrac{(y-1)^2}{49} =1\\\\or\\\\49*(x+3)^2+4(y-1)^2=14^2\\\\Answer\ A\\[/tex]

Answer:

183 centimeters

Step-by-step explanation:

2 multiply the length value by 91.44

Answer:

Area of a triangle

Step-by-step explanation:

1/2bh is used to find the area for a triangle

Let D denote the region whose boundary is C. By Green's theorem,

[tex]\displaystyle \int_C 8y^2x\,\mathrm dx + 6x^2y\,\mathrm dy = \iint_D \frac{\partial(6x^2y)}{\partial x} - \frac{\partial(8y^2x)}{\partial y} \,\mathrm dx\,\mathrm dy \\\\ = \int_0^3 \int_0^3 (12xy-16yx)\,\mathrm dx\,\mathrm dy \\\\ = -4 \int_0^3 \int_0^3 xy\,\mathrm dx\,\mathrm dy = \boxed{-81}[/tex]

Answer:

so i think answer of this quiestion is option D

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{5}{6}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the Problem...}}\\\\2\frac{1}{2} -\frac{5}{3}\\\\----------------\\\rightarrow \text{LCM} (2,3): 6\\\\\rightarrow 2\frac{1}{2}=\frac{5}{2}=\frac{5*3}{2*3}=\frac{15}{6}\\\\\rightarrow \frac{5}{3}=\frac{5*2}{3*2} =\frac{10}{6}\\\\\\\rightarrow \frac{15}{6} - \frac{10}{6}\\\\\rightarrow \boxed{\frac{5}{6}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

The answer is actually

Let:

S=1+2+3+4+5+6+7+8+9+n

We know the answer to the following infinite sum:

S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2

We can therefore solve for this sum:

S3=1-2+3-4+5-6+7-8+9-....

We add them:

S3=      1-2+3-4+5-6+7-8...

S3=       +1-2+3-4+5-6+7-8...

        ________________

2S3=    1-1+1-1+1-1+1-1+1-....

Therefore:

2S3=S2=

Step-by-step explanation:

Ans is 20 .

F union C whole complement is 20

Answer:

1they are 15 kilometers apart

Answer:

The answer is -6.

Step-by-step explanation:

2-3*(-6+4)=8

2−3

Answer:

414,400

Step-by-step explanation:

[tex]342.475 + 71.925[/tex]

[tex] = 414.400[/tex]

Answer:

haha pues cuesta mas las hamburgesas porque toca ir al doctor despues

Step-by-step explanation:

In Argument A the conclusion indicator  is "we may infer that" and the conclusion  is Kari is more likely to be pulled over.

In Argument B the conclusion indicator  is "For these reasons" and the conclusion  is You should never run with scissors.

In Argument C the conclusion indicator  is "So" and the conclusion  is Humans do not have free will.

To identify the conclusion of each argument, we can either separate the premises (examples of the author's opinion) from the entire argument or we can identify the conclusion indicators.

Some conclusion indicators include:

Argument A:

Conclusion = Kari is more likely to be pulled over.

Argument B:

Conclusion = You should never run with scissors

Argument C:

Conclusion = Humans do not have free will

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