Answer:
a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
b) 0.05 = 5% probability that he has four goals and two assists in one game
Step-by-step explanation:
In hockey, a point is counted for each goal or assist of the player.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.
(a) Find the mean and standard deviation for the total revenue he earns per game.
60% of six are goals, which means that 60% of the time he earned 3K.
40% of six are goals, which means that 40% of the time he earned 1K.
The mean is:
[tex]\mu = 6*0.6*3 + 6*0.4*1 = 13.2[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63[/tex]
The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.
(b) What is the probability that he has four goals and two assists in one game
Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.
Probability of four goals:
60% of 6 are goals, which means that:
[tex]\mu = 6*0.6 = 3.6[/tex]
The probability of scoring four goals is:
[tex]P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122[/tex]
Probability of two assists:
40% of 2 are assists, which means that:
[tex]\mu = 6*0.4 = 2.4[/tex]
The probability of getting two assists is:
[tex]P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127[/tex]
Probability of four goals and two assists:
[tex]P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05[/tex]
0.05 = 5% probability that he has four goals and two assists in one game
m(x)=1/x f(x)=2x-10 find the domain restriction of m(R(x))
Answer:
x ≠ 5Step-by-step explanation:
Given
m(x) = 1/xf(x) = 2x - 10Composite function
m(f(x)) = 1/ (2x - 10)The denominator can't be zero
2x - 10 ≠ 02x ≠ 10x ≠ 5gallon of
2
17. Mr. Jackson owns a vegetable juice stand. At the end of the day, he has
juice left. He pours an equal amount of the remaining juice mixture into 6 glasses.
What amount of juice does Mr. Jackson pour into each glass?
1
A.
gallon
12
B.
1
3
gallon
C. 3 gallons
D. 12 gallons
Answer:
12 gallons
Step-by-step explanation:
please help me with this
Answer:
its 18
Step-by-step explanation:
6x3=18
State whether each situation has independent or paired (dependent) samples. a. A researcher wants to compare the hand–eye coordination of men and women. She finds a random sample of 100 men and 100 women, and measures their hand–eye coordination. b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without
Answer:
a. A researcher wants to compare the hand–eye coordination of men and women. She finds a random sample of 100 men and 100 women, and measures their hand–eye coordination = paired samples
b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without tenure. = independent samples
Explanation:
Paired-samples t tests compare scores on two different variables but for the same group of cases; independent-samples t tests compare scores on the same variable but for two different groups of cases.
An angle measured 140 more than the measure of its supplementary angle. What is the measure of each angle ?
Answer:
Supplementary angle equals 180°
Complementary angle equals 360°
Step-by-step explanation:
Conjugate angles are more or less related to complementary and supplementary angles. The sum of the two angles put together equals 360 degrees. The last angle that will be named is straight. The measure of the angle equals 180 degrees.
Janice has final exams in Algebra 1 and Biology on Friday. She has up to 12 hours to study for the
exams and her mom said she must spend more time on Algebra (a) than Biology (b). Which of the
following constraints can be used to represent this situation?
Answer:
5555
Step-by-step explanation:
FOR 50 POINTS
Halp this is worth a lot of my grade
How many dogs were bought in 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, and 2020.
Can you figure out the missing number
Answer:
Im not sure exactly what this is but it seems the answer is 6 because the only number 1-9 thats not there!
Step-by-step explanation:
Hope this helps!! :)
The missing number is 6
What are missing numbers?
Missing numbers are numbers omitted from a group or series of numbers.
The main purpose of finding a missing number is to determine the mechanism by which the numbers are arranged or encoded.
From the given information:
The number given is natural numbers from 1 - 9,The missing number in the series from 1 - 9 in the box is 6.Therefore, we can conclude that the missing number is 6.
Learn more about the missing numbers here:
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Flip-flop sets are on sale at buy
one, get one half-off. Maria and
Jackie each decide to get a pair.
The flip-flops are priced at $24.00.
If they decide to split the total
evenly, then how much will each
pay?
The first sequence follows the rule add 5. The second sequence follows the rule add 3. Both sequences start from 2. Select the option that correctly shows the first 5 terms for each sequence. Question 1 options: First sequence: 2, 7, 12, 17, 22 and second sequence: 2, 5, 8, 11, 14 First sequence: 0, 5, 10, 15, 20 and second sequence: 0, 2, 4, 6, 8 First sequence: 2, 6, 10, 14, 18 and second sequence: 2, 5, 8, 11, 14 First sequence: 2, 7, 12, 17, 22 and second sequence: 2, 6, 10, 14, 18
Find the value of x pls help with this
(2,2) m = -3
Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.
What’s the slope?!??????
Answer:
y=mx+b
Step-by-step explanation:
These prisms are similar. Find the surface
area of the larger prism in decimal form,
5 m
7 m
Surface Area = 90 m2
Surface Area = [?] m2
Answer:
176.4m²
Step-by-step explanation:
scale factor = 7/5 = 1.4
area scale factor = 1.4² =1.96
90*1.96 =176.4m²
Answer: 176.4
Step-by-step explanation: (5/7)^2, cross multiply wit 90/SA, 90*49/25 = 176.4
Suppose y varies directly as x. If y = 12 when x = 4:
Write the general variation equation
Find the constant of variation, k.
Write a variation equation relating x and y using the value of k found in b).
Find y when x = -5.
у
Answer:
y = -15
Step-by-step explanation:
Given that,
y varies directly as x i.e.
[tex]y\propto x\\\\y=kx[/tex]
Where
k is the constant of variation.
Put y = 12 and x = 4 to find k.
[tex]k=\dfrac{y}{x}\\\\k=\dfrac{12}{4}\\\\k=3[/tex]
Now put k = 3 and x = -5 and finding the value of y.
[tex]y=3\times -5\\\\y=-15[/tex]
So, the value of y is equal to -15.
Which of the following sentences is true?
•82.349 is less than 82.347.
•5.324 is less than 5.314.
•20.544 is greater than 20.844.
•19.532 is greater than 19.522.
Answer:
The last one
19.532 is greater than 19.522
Step-by-step explanation:
I need help with my work! Pls, help!
Answer:
How many potatoes has he already pealed and what rate is he moving at
Step-by-step explanation:
Please Help POINTS: 15 (look at the screenshot below)
What is the ratio of the number of medals won by Jacob to the number of medals won by Antonio?
URGENT!!!!
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class has a sister?
Answer: 5/30 chance of it happening
Step-by-step explanation:
The probability is 5/30 chance of it happening.
We have given that,
In a class of students, the following data table summarizes how many students have a brother or a sister.
We have to determine the probability that a student chosen randomly from the class has a sister.
What is the formula for probability?The probability is the ratio of the number of favorable outcomes to the total outcomes in that sample space. It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).
Therefore the probability is 5/30 chance of it happening.
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65 and 40%how many left
Answer:
16
Step-by-step explanation:
Divide 65 by 40 and then multiply it by 10. That gets you 16.25 so you have to round it because you can't have 1/4 of a person. So you'll get 16.
worth 25 help and show work :)
Answers:
x = 7*sqrt(3)
y = 7
===========================================================
Explanation:
We have a 30-60-90 triangle here since the missing acute angle is 90-60 = 30 degrees. Or you could note how 30+60+90 = 180.
The side length y is the shorter leg as it's opposite the smallest angle. It's equal to half of the hypotenuse. So y = 14/2 = 7.
The longer leg x is equal to y*sqrt(3). We multiply the shorter leg by sqrt(3) to get the longer leg. This means
x = y*sqrt(3) = 7*sqrt(3)
----------
You could also use the pythagorean theorem if you knew that y = 7 and you had the hypotenuse value as well. You could solve like so
a^2 + b^2 = c^2
7^2 + b^2 = 14^2
b^2 = 14^2 - 7^2
b^2 = 147
b = sqrt(147)
b = sqrt(49*3)
b = sqrt(49)*sqrt(3)
b = 7*sqrt(3)
Which matches up with the value of x we found earlier.
Jared can choose to go to the
movies or to go to the gym. He
can ride the subway, walk, or
drive. Create a list to represent
the various options Jared has.
a. 4
b. 6
c. 8
d. 2
write an explicit formula for an the nth term of sequence 100,20,4
Answer:
a_3=4
Step-by-step explanation:
a1 = 100
r = 1/5
an = 100 (1/5)^(n - 1)
so we now have the answer for a_3
a_3 = 100 * (1/5)^(3 - 1)
a_3 = 100 * (1/5)^2
a_3 = 100 * 1/25
a_3 = 4
i believe this is it, although i'm not entirely sure
good luck :)
**please let me know if this was wrong/not what you were looking for or both**
have a nice day!
round to nearest 10 place
318
4271
18293
Answer:
318-320
4271-4270
18293-18290
What is the approximate area of the circle shown below
Answer:
D. 154
Step-by-step explanation:
Formula
pi×r^2
r=diameter / 2
14/2=r=7
pi×7^2=154
PLEASE HELP I NEED THIS NOW, AND IS POSSIBLE A EXPLICATION
Answer:
you forgot the pic
Step-by-step explanation:
write an equation for the nth term of the arithmetic sequence. Then find a40.
6,-1,-8,-15,....
Answer:
The next sequence will be -22 because they are subtracting 7
if you borrow $1000 for a year with a credit card that charges 27.9% annual interest, how much interest will you pay for the year?
Answer:
$279.00
Step-by-step explanation:
find the volume of this cylinder. round to the nearest tenth
Answer:3418
Step-by-step explanation:
The volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.
To find the volume of a cylinder, you can use the formula:
Volume = π * r² * h
Given:
Radius (r) = 8 ft
Height (h) = 17 ft
Plugging these values into the formula, we can calculate the volume:
Volume = π * (8 ft)² * 17 ft
= π * 64 ft² * 17 ft
≈ 3418.05 ft³
Rounding the volume to the nearest tenth, we get:
Volume ≈ 3418.1 ft³
Therefore, the volume of the cylinder, rounded to the nearest tenth, is approximately 3418.1 ft³.
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Given ABCD, AC = 22, AE = 2x - 5, find the value of x.
x=8
Step-by-step explanation:
the value of x is 8
so your answer is x=8
