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.
------------------------------------------
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 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]
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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.
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What is the distance between the points shown on the coordinate plane below? Round your answer to the nearest tenth.
2 times the sum of 9 and the opposite of x
Answer:
18-2x
Step-by-step explanation:
distribute the 2 in 2(9-x) opposite of x is -x
need help please
(2a²b)(4ab²)
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
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
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
ΔT=120°
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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find the quotient of (6x^2+x-12)÷(2x+3)
3x-4 is the quotient okkk
Pls solve it ! urgent plsss
If you invested $7000 for 10 years at an annual interest rate of 3% how much is the accrued interest?
The number 10 lies between what two integers?
Answer:
9 and 11
Step-by-step explanation:
9 and 11 are before and after 10. so, 10 lies between them.
Is square root of 9/64 a rational number?
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.
Given m|n, find the value of x.
(8x-20)
(8x+8)
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
When I triple my number and add three and then subtract double my number and add one I get nine what is my number
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!
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.
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!
Whatis (-5 + 3i) -(4+7i)?
Answer:
-5-4i is your answer.
I hope it will help youWhat is the Answer to 50 + 10 x 0 + 7 + 2
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
[tex]50 + 10 \times 0 + 7 + 2 = 50 + 0 + 7 + 2[/tex]
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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Divided 1.4 from 100
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
मच्ने costing Rs 10,000 is depreciated at 15% per annum find the value of maths in after 1 year?
Answer:
8500
Step-by-step explanation:
depreciation=10000×15%=1500
initial cost = 10000
final cost = initial cost- depreciation
=10000-1500
=8500
PLEASE HELLPPPP THIS KS DUE SOON ❗️❗️❗️❗️❗️❗️
Answer:
Step-by-step explanation:
Write all classifications that apply to the real number 11.
A car rental service charges a $500 flat fee for a car plus $100
per additional day. Which equation correctly models the total
cost of renting a car for x number of days?
Answer:
100x + 500 = t
Step-by-step explanation:
100x represents the amount you pay for each day you rent the car.
500 represents the flat fee that you only pay once.
t represents the total cost.
A number is 10 more than another number. Twice the sum of the two numbers is 44. Find the two numbers.
Answer:
The two numbers are 6 and 16
Step-by-step explanation:
16+6=22
22+22=44
The numbers are 6 and 12.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the number are x and y.
A number is 10 more than another number then
x + 10 = y...............(1)
and, Twice the sum of the two numbers is 44.
2(x+y)= 44...........(2)
Solving the above equation we get
x+ y= 22
y-10 + y = 22
2y = 32
y= 16
and, x= y-10 = 16-10= 6
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∠2= ∠5 , because they are
(I) Corresponding angles
(II) Alternate angles
(III) Co- interior angles
(IV) Linear pair
[tex] \sf \red {alternate \: angles}[/tex]
[tex] \huge \purple{ \underbrace{ \overbrace{Hope \: it \: helps}}}[/tex]
If k is an integer, what is
k + 1
/2
!
? Why?
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].
Or to put it in math [tex]\forall k\in\mathrm{odd}-\{-1\}\cup\{0\}\implies\frac{k+1}{2}\in\mathbb{Z}[/tex].
If [tex]k[/tex] is even or -1, then [tex]\frac{k+1}{2}\in\mathbb{Q}[/tex].
Or to put it in math [tex]\forall k\in\mathrm{even}\cup \{-1\}\implies\frac{k+1}{2}\in\mathbb{Q}[/tex].
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 :)
Calculate the distance between the points -8,2 and 3,2 on a coordinate plane
[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]
The perimeter, units, and the area
Answer:
Perimeter 18 and area is 9
can you guys help me with this question:) its ok if you answer one question or more. Much appreciated!
Answer:
2.b
Step-by-step explanation:
#7: Convert the equation to slope-intercept form. (Type your
answer with no spaces. Example: y=2/5x-4*
3x – 4y = 8
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]
Help please due today
Answer:
Base: 24 and height:6
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)
Original Height = 12/2 or (12)x(1/2)
PLSSSS HELPPPPPPPPPPPPP
Answer:
PB = 25Step-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)
of 6
A property has a net income of
$770,000 and sells for $9,800,000.
What is its cap rate?
Which word begins with an open syllable?
silly
sister
sofa
softer
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.
In phonetics, open and closed syllables refer to the specific nature of how the words end. This means that the words that end with a vowel are known as open syllables while the words that end with a consonant are known as closed syllables. Now, looking at the individual words given in the question, we can ascertain that the initial syllables of the words "silly, sister, softer" all ends in a consonant word. On the other hand, the word "sofa" begins with a vowel "o", thereby making it an open syllable.The easiest way to detect an open and closed syllable is by identifying the position or use of the vowels and consonants in a syllable. This makes the word "sofa" an open syllable.
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