The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62. In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35. (Round your answer to three decimal places)

Answers

Answer 1

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]

------------------------------------------

Sample of 40:

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

------------------------------------------

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.

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100x represents the amount you pay for each day you rent the car.

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Caleb is preheating his oven before using it to bake. The initial temperature of the oven is 70° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 8 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on

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Answer:

190 Degrees Celsius

Step-by-step explanation:

so first you multiply the

Rate per minute X Minutes

15 X 8 = 120

120 this is the  temperature increase so you add this increase to the initial temperature which was 70 degrees Celsius

temperature Increase + Initial temperature

120 + 70 = 190 degrees Celsius

 

The temperature of the oven is 8 minutes after being turned on to 190°C.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, the initial temperature of the oven is 70° and the temperature will increase at a rate of 15° per minute after being turned on.

We have to find the temperature of the oven 8 minutes after being turned on.

If, after being turned on, the temperature rises by 15° per minute. By dividing the time by the rate at which the temperature rises each minute, one can calculate the oven's temperature eight minutes after it is turned on.

Increase in temperature = Number of minutes × Rate of temperature increase

ΔT=8 min × 15° per minute

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The temperature of the oven 8 minutes after being turned on is,

T = ΔT + initial temperature

T = 70°+ 120°

T=190°

Thus, the temperature of the oven is 8 minutes after being turned on to 190°C.

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मच्ने costing Rs 10,000 is depreciated at 15% per annum find the value of maths in after 1 year? ​

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Answer:

8500

Step-by-step explanation:

depreciation=10000×15%=1500

initial cost = 10000

final cost = initial cost- depreciation

=10000-1500

=8500

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Step-by-step explanation:

First, let y coeffecinet be 1, since y coefficient is -4 we divide both sides by -4

[tex] - \frac{3}{4} x + y = - 2[/tex]

Add 3/4 to both sides

[tex]y = \frac{3}{4} x - 2[/tex]

If k is an integer, what is
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If [tex]k\in\mathbb{Z}[/tex] than [tex]k+1\in\mathbb{Z}[/tex] however any [tex]\mathbb{Z}[/tex] divided by 2 is in [tex]\mathbb{Q}[/tex].

But it is not so simple.

If [tex]k[/tex] is odd then [tex]k+1[/tex] is even but when even number is divided by 2, you get an odd number which is in [tex]\mathbb{Z}[/tex].

However if [tex]k[/tex] is even then [tex]k+1[/tex] is odd and when we divide that by 2, you get a number like for example [tex]\frac{5}{2}[/tex] which is not in [tex]\mathbb{Z}[/tex] but rather inside [tex]\mathbb{Q}[/tex]. There are fortunately no irrational numbers.

There is also a problem with zero, zero is neither odd nor even but still an integer. If your [tex]k[/tex] happens to be -1, [tex]k+1=0[/tex], and zero divided by 2 is still just 0 which is in [tex]\mathbb{Z}[/tex].

So to sum up,

If [tex]k[/tex] is odd and not -1, then [tex]\frac{k+1}{2}\in\mathbb{Z}[/tex].

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Notes:

[tex]\mathbb{Z}[/tex] is a set of integers.

[tex]\mathbb{Q}[/tex] is a set of rational numbers.

[tex]\mathbb{Z}\subset\mathbb{Q}[/tex] means integers are a subset of rational numbers, that is, every integer is a also a fraction, however not every fraction is an integer.

Hope this helps :)

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Answers

The word sofa begins with an open syllable.

Phonetics is the study of the sound of words/ speeches. This branch of linguistics deals with how words and letters sound and classifies them accordingly.

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Answers

using pemdas (parentheses, exponent, multiplication, division, addition, and subtraction):

first, we multiply 10 x 0 because m is before a which equals 0.

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Arithmetic involves carrying out addition, subtraction, division and multiplication on numbers and expressions. The result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]

Given that:

[tex]50 + 10 \times 0 + 7 + 2[/tex]

To do this, we apply BODMAS.

First, we evaluate all multiplication operations

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Then evaluate all addition operations

[tex]50 + 10 \times 0 + 7 + 2 = 59[/tex]

Hence, the result of [tex]50 + 10 \times 0 + 7 + 2[/tex] is [tex]59[/tex]

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Answer:

8a^3b^3

Step-by-step explanation:

Just put same numbers with numbers, same alphabets with same alphabets

(2a^2b) (4ab^2)

2 x 4 x a^2 x a x b x b^2

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Answers

Answer:

9 and 11

Step-by-step explanation:

9 and 11 are before and after 10. so, 10 lies between them.

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Answers

Answer:

x=12

Step-by-step explanation:

(8x-20)+(8x+8)=180

16x-12=180

16x=180+12

16x=192

x=12

Answer:

x = 12

Step-by-step explanation:

The given angles are supplementary. Therefore, they have a sum of 180°.

8x - 20 + 8x + 8 = 180

16x - 12 = 180

16x = 192

x = 12

Whatis (-5 + 3i) -(4+7i)?

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Answer:

-5-4i is your answer.

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Answer:

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Step-by-step explanation:

Answer:

Base: 24

Height: 6

Step-by-step explanation:

The question says a scale factor of 1/2 so divide by 2. It says scale back

so you know as well that your answer is going to get bigger.

Original Base = 48/2 or (48)x(1/2)

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∠2= ∠5 , because they are
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[tex] \sf \red {alternate \: angles}[/tex]

[tex] \huge \purple{ \underbrace{ \overbrace{Hope \: it \: helps}}}[/tex]

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Answer:

The two numbers are 6 and 16

Step-by-step explanation:

16+6=22

22+22=44

The numbers are 6 and 12.

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A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

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Given:

let the number are x and y.

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and, Twice the sum of the two numbers is 44.

2(x+y)= 44...........(2)

Solving the above equation we get

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Answer:

18-2x

Step-by-step explanation:

distribute the 2 in 2(9-x) opposite of x is -x

Calculate the distance between the points -8,2 and 3,2 on a coordinate plane

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(-8,2)(3,2)

[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(3+8)^2+(2-2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{11^2}[/tex]

[tex]\\ \rm\Rrightarrow 11[/tex]

can you guys help me with this question:) its ok if you answer one question or more. Much appreciated!

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Answer:

2.b

Step-by-step explanation:

Is square root of 9/64 a rational number?

Answers

Answer:

square root of 9/64 is a rational number

Step-by-step explanation:

square root of 9/64 =0.046875

Any number which when written as a decimal form which terminates (that is ends with only 0 -value digits following the last digit) or any decimal form number that ends with a sequence which repeats indefinitely is rational.

Therefore square root of 9/64 is a rational number

Hope you got this

If you have any questions just ask me.

Write all classifications that apply to the real number 11.

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I didn’t know really

find the quotient of (6x^2+x-12)÷(2x+3)​

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3x-4 is the quotient okkk

3x-4 is the answer to your question

Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.

Answers

Answer:

7 DVDs

Step-by-step explanation:

Christine spent $29.50 in total, and $5 on the membership.

so the amount of money spent on DVDs is $29.50 - $5, or $24.50.

The number of DVDs she rent are $24.50 / $3.50 = 7 DVDs

Answer:

7 DVDs

Step-by-step explanation:

We can create an equation to found out how many DVDs she rents. Let d = number of DVDs she rents.

3.50d + 5 = 29.50

~Subtract 5 to both sides

3.50d = 24.50

~Divide 3.50 to both sides

d = 7

Best of Luck!

of 6
A property has a net income of
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What is its cap rate?

Answers

It’s cap rate is 0.079

When I triple my number and add three and then subtract double my number and add one I get nine what is my number

Answers

Answer:

i belive if not mistaken 6

Step-by-step explanatio

Answer and Step-by-step explanation:

I will replicate what you said into an algebraic equation.

Your number will be represented as x.

(3x + 3) - (2x + 1) = 9

Distribute the negative.

3x + 3 - 2x - 1 = 9

Combine like terms.

x + 2 = 9

Subtract both sides of the equation by 2.

x = 7

Your number is 7.

Checking my answer:

(3(7) + 3) - (2(7) + 3) = 9

(21 + 3) - (14 + 3) = 9

24 - 17 = 9

9 = 9 ✓

So, your number is 7.

#teamtrees #PAW (Plant And Water)

I hope this helps!

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I think it’s 5 but I’m not entirely sure tbh

Answer:

PB = 25

Step-by-step explanation:

P ___15cm______T____10cm______B

As shown above,

PB is a line segment and point T in it forming - PT = 15 and TB = 10

So,

PB = PT + TB

= 15 + 10

= 25 (Ans)

Divided 1.4 from 100

Answers

Step-by-step explanation:

[tex] \frac{1.4}{100} \\ 0.014[/tex]

Whenever you divide any number with 10,100,1000,10000 ....

then move the decimal point of the given number toward left side as the number of zero in dividing number,

1.4/100

here in 100 there is 2 zeros , so we should shift the decimal 2 point left of 1.4

Answer:

Divide  1.4 by  100  = 0.014

What is the distance between the points shown on the coordinate plane below? Round your answer to the nearest tenth. ​

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The coordinates are (1,1) since it is below two and it is closest answer
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