It has been observed that a large percentage of professional hockey players have birthdays in the first part of the year. It has been suggested that this is due to the cut-off dates for participation in the youth leagues - those born in the earlier months are older than their peers and this advantage is amplified over the years via more opportunities to train and be coached. Of the 511 professional hockey players in a season, 159 of them were born in January, February, or March.
Requried:
a. Assume that 25% of birthdays from the general population occur in January, February, or March (these actually contain 24.7% of the days of the year). In random samples of 508 people, what is the mean number of those with a birthday in January, February, or March?
b. What is the standard deviation?
c. Now, 158 of the 508 professional hockey players were born in the first three months of the year. With respect to the mean and standard deviation found in parts (a) and (b) what is the z-score for 158?
d. If the men in the professional hockey league were randomly selected from the general population, would 158players out of 508 be an unusual number of men born in the first 3 months of the year?
e. Which of the following is an acceptable sentence to explain this situation?
1. If the men in the professional hockey league were selected randomly from the general population, this would be an unusual collection of birth dates.
2. There is good reason to believe that a significantly larger than expected proportion of professional hockey league players are born in the first three months of the year.
3.This could be a result of the random variation of birth dates within a sample. However, it would be pretty unlikely to happen by chance.
4. All of these are valid statements.
Answer:
a
[tex]\mu = 127[/tex]
b
[tex]\sigma = 9.76[/tex]
c
[tex]z-score = 3.18 [/tex]
d
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
e
The correct option is option 3
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.25
The sample size is n = 508
Generally the mean is mathematically represented as
[tex]\mu = np[/tex]
=> [tex]\mu = 508 * 0.25[/tex]
=> [tex]\mu = 127[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ np (1-p)}[/tex]
=> [tex]\sigma = \sqrt{ 508 * 0.25 (1-0.25)}[/tex]
=> [tex]\sigma = 9.76[/tex]
Generally the z-score of 158 is mathematically represented as
[tex]z-score = \frac{158 - 127}{9.76}[/tex]
=> [tex]z-score = \frac{158 - 127}{9.76}[/tex]
=> [tex]z-score = 3.18 [/tex]
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
What this means is that the almost the whole professional hockey league player are born in the first month which is unusual
Solve 6 < x + 5 < 11
Answer:
I think it should be 1 < x ≤ 6
Step-by-step explanation:
While shopping for clothes, Curtis spent $17 less that 2 times what Daniel spent. Curtis spent $15 dollars
What equation that can be used to determine how much Daniel spent is
Blank• - blank= blank
Answer:
$13
Step-by-step explanation:
15 x 2 =30 - 17 = 13
write a decimal number
ral for 3/5
Answer:
0.6 or 0.60
Step-by-step explanation:
3/5 mulitply denominator to see how much it goes to 100 which is 20 so 5x20 which is 100 and u go to other number u get 60 so 60/100 or you can just divide 3 by 5 which is also 0.6
lines A and B are parallel,lines x and y are transversals. if angle 2 is 57 degrees and angle 3 is 85 degrees,find the measure of angle 5 will mark brainest
Answer:
38Step-by-step explanation:
see attached
I need help with this question ! if someone could also explain what the answer is, that would be awesome.
Answer:
y=3/2x+3
Step-by-step explanation:
The slope is 3/2. The slope is m. We plug 3/2 into our equation.
y=mx+b
y=(3/2)x+b
Now we have to find b.
B is 3 because that's where it crosses the y axis.
So y=3/2x+3
In a genetics class, 6 students have GREEN eyes, 3 students have BLUE eyes, and 11 have HAZEL eyes. If a single student is picked at random, what is the probability that their eyes are GREEN or HAZEL?
17/20 is the probability that their eyes are green or Hafzel.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
The number of students having Green eyes =6
The number of students having Blue eyes =3
The number of students having Hafzel eyes =11
The total number of students=11+3+6
=20
The probability that their eyes are green is 6/20
The probability that their eyes are Hafzel is 11/20
The probability that their eyes are green or Hafzel
6/20 + 11/20
= 17/20
Hence, 17/20 is the probability that their eyes are green or Hafzel.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ5
Simplify fully
x² – 9/3x²+8x-3 divided by x-3/x+2
Answer:
-(x(2x squared-8x+3))/(x-1)(x+3)
Step-by-step explanation:
This can't be simplified very far, but the answer is above. Hope it helps!
The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
What is Simplification?Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,
WE need to simplify the given;
[tex]\dfrac{x^{2}-9 }{3x^{2} +8x-3}+\dfrac{x-3}{x+2}[/tex]
3x² + 8x - 3 = (3x - 1)(x + 3)
x² - 9 = (x - 3)(x + 3)
Then;
[tex]\dfrac{(x-3)(x+3)}{(3x-1)(x+3)} +\dfrac{x-3}{x+2} =\dfrac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}[/tex]
Therefore,
[tex]\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}[/tex]
[tex]\dfrac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}[/tex]
[tex]\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}[/tex]
[tex]\dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\dfrac{(x-3)(4x+1)}{(3x-1)(x+2)}[/tex]
Hence, The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
Learn more about simplification;
https://brainly.com/question/17579585
#SPJ2
Kyle is a secretary. She earns $12.38 per hour. She worked 42 hours last week. What is her straight time pay?
Answer:
$519.96
Step-by-step explanation:
$12.38 × 42= $519.96
HELP!!!
Find the equation of a line parallel to 2x + 2y=6 that contains the point (3,-5), Write the equation in slope-intercept
Answer:
[tex]y = -x -2[/tex]
Step-by-step explanation:
Slope-Intercept form of the line
Any given line with slope m and y-intercept b can be written as:
y=mx+b
We need to find the equation of a line parallel to
2x + 2y = 6
Dividing by 2:
x + y = 3
Solving for y:
y = -x + 3
Comparing with the slope-intercept form of the line:
m = -1
Parallel lines have the same slope, thus the required line must have a slope m = -1.
Since we have a point through which the line passes, we use the point-slope form:
y - k = m ( x - h )
Where (h,k) is the point.
The required equation of the line is:
y - (-5) = -1 (x - 3)
Operating:
y + 5 = -x + 3
Solving for y:
[tex]\boxed{y = -x -2}[/tex]
four students measure their height their heights measure 184cm, 192cm, 164cm, 200cm what is the mean height of the students
Answer:
add them all up and divide by four to get the mean is to get the average if there were two numbers you add and divide by 2 but since there are for u divide by four once you have added them all up
A package of 5 pairs of insulated socks costs $37.95. What is the unit price of the pairs of socks?
Answer:
$7.59.
Step-by-step explanation:
Divide $37.95 dollars (converting it into 37.95), by 5, and you get 7.59 ($7.59).
Answer:
$7.59
Step-by-step explanation:
you dived $37.95 by 5 and you get your answer of $7.59
What is the second step in identifying grouped mean?
Answer:
B
Step-by-step explanation:
Divide the sum obtained in preceding step by total number of frequencies.
For the function h(x) = x2- 2, find the range:
If the domain is {-1, 0, 3}
Answer:
-4, -2, 4
Step-by-step explanation:
-1(2)-2
0(2)-2
3(2)-2
I hope this helped.
Lil baby - It’s too many mothers that grieving they killing us for no reason been going on for too long to get even
Answer:
[tex]its \: 11.75[/tex]
Two angles are complementary. One angle is twice as large as the other angle. What is the measure of each angle?
Find the sum: 2.234 + 0.01
Answer:
The sum of 2.234 and 0.01 is 2.244.
Step-by-step explanation:
The 0.01 is in the hundredths place, so just add 1 to the number in the hundredths place of 2.234, to make it 2.244.
Brent count to 10 red cards 10 Blackhearts and 20 blue cards in a deck of cards what is the radio of red cards to other cardsj
Answer:
1/4
Step-by-step explanation:
10+10+20=40
10 of those are red cards which makes it 10/40 which is simplified to 1/4.
Answer:
10:30 (simplified- 1:3)
Step-by-step explanation:
there are 10 red cards so the first number would be 10
the other cards are black hearts and blue cards, if you add them together that is 30 cards, therefore, the answer is 10:30
find the mean of the data 5,5,8 set
Answer:
the mean is 6
Step-by-step explanation:
5+5+8= 18
then divide 18 by 3 bc there is 3 numbers and u get 6
hope this helps
please answer for brainlesit
Answer:
(-3, -2) that is the answer please give me brainiest
Step-by-step explanation:
6.333 x 10^2
HHHEEEEELLLLLLLPPPPP!
Answer:
See Below
Step-by-step explanation:
6.333 x 10^2
10^2 = 100
since there is 2 zeros, move the decimal to the right twice.
633.3
(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of what?
a) vertical multiplication
b) FOIL
c)The Distributive Property
d) multiplying two binomials
Answer: The distributive property.
Step-by-step explanation:
(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.
What is the Distributive Property?It is a property of multiplication and division. It states that when either of these operations is written outside a bracket, the operation must be applied to all terms inside the bracket when it is opened.
(a + b)c = ac + bc
The given equation is an example of:
It is given that:
(x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x).
We can see that when the bracket of the second term is opened, the first term is multiplied across all the terms that were within the bracket.
This is a feature of the distributive property. It is called the distributive property of multiplication.
Therefore, we have found that the equation (x^4 +3x^3 -2x^3)(-5x^2 +x) = (x^4 +3x^3 -2x^3)(-5x^2)+(x^4 +3x^3 -2x^3)(x) is an example of the Distributive Property.
Learn more about the Distributive Property here: https://brainly.com/question/1780105
#SPJ2
I need help!!!! I don’t understand this at all
Answer:
ixtjtxgixgixyixiyxyifyicjgckckhckhcjgckckhckhckhcihciyciyfiyfiyfiyfiyfiyyif
Step-by-step explanation:
ridutd6utsutsursustysysyytshfzyrsyrsyrsyrsutd
What is 50x50x1x0 =?
What is 0x0 =?
What is 0/0 =?
What is 50x50x1x0 = 0
What is 0x0 = 0
What is 0/0 = it is called undefined and the expression is 00
Answer:
1. 0 2.0 3. impossible
Step-by-step explanation:
1. PEMDAS
50*50=2500
2500*1=2500 idnetification property
2500*0=0 zero property
2. 0*0 =0 zero property
3. 0 can not be a divisor. This leads to the answer being an error
(Simplify the equation) 3n+5+2n=5+n+6n-n
Answer:
n=0
Step-by-step explanation:
3n+5+2n=5+n+6n-n
move like terms together
3n+2n+5=5+n+6n-n
simplify down
5n+5=5+6n
subtract 5n from each side
5=5+n
subtract 5 from each side
0=n
Laura had 192 dollars to begin with. She just spent b dollars. Using b, write an expression for the number of dollars she has left
Answer:
uh idkbjbss codificación
What is the solution set of the equation |2x-9| = -9
Answer:
tbh i don't kno either lol
Step-by-step explanation:
hehehe
A researcher predicts that listening to music while solving math problems willmake a particular brain area more active. To test this, a research participant hasher brain scanned while listening to music and solving math problems, and thebrain area of interest has a percentage signal change of 58. From many previousstudies with this same math problems procedure (but not listening to music), it isknown that the signal change in this brain area is normally distributed with amean of 35 and a standard deviation of 10.
(a) Using the .01 level, what shouldthe researcher conclude? Solve this problem explicitly using all five steps of hypothesistesting, and illustrate your answer with a sketch showing the comparisondistribution, the cutoff (or cutoffs), and the score of the sample on this distribution.(b) Then explain your answer to someone who has never had a course in statistics(but who is familiar with mean, standard deviation, and Z scores).
Answer:
one equal to 5
Step-by-step explanation:
5x x 66
There are eight wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested.
Answer: 40320 sequence to test.
Step-by-step explanation:
we have given the following data:
No of wires which need to be attached to a circuit board = 8
What We need to find is the number of possible sequences of assembly that must be tested.
Using our multiplication rule of counting we arrive at,
Number of possible sequences of assembly is given by
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 40320
i.e. there are 8 choices for the first wire, 7 choices for the second wire, 6 choices for the third wire, 5 choice for the fourth wire same till the 8th wire.
Hence, there are 40320 possible sequences of assembly.
can someone help me solve please.. thanks..
Answer:
see below
Step-by-step explanation:
f(0) means x=0
We use the f(x) when x<5
f(0) = 0+4 = 4
f(6) means x=6
We use the f(x) when 5≤x<7
f(6) =8