Answer:
D
Step-by-step explanation:
807 divided by 12 = 67.25
Wayne Gretsky scored a Poisson mean six number of points per game. sixty percent of these were goals and forty percent were assists (each is worth one point). Suppose he is paid a bonus of 3K for a goal and 1K for an assist. (a) Find the mean and standard deviation for the total revenue he earns per game. (b) What is the probability that he has four goals and two assists in one game
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
A car travels 120 miles at the speed of 48 miles per hour. Find the time taken for the journey using the formula d = rt.
1 hour
2 hours
O 1.5 hours
O 2.5 hours
Answer:
2 hours
Step-by-step explanation:
Car travels from A to B at 60 miles/hour. Time of travel = 120/60 = 2 hour. Average speed of round trip = (120+120)/(2+3) = 48 miles per hour.
I need this assignment done will give brainliest and extra points.
Answer:
1a.2.5x³-2.25x²+3.5x-1.5
1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)
2a.-2x⁶+7x⁴+3x³-3x²+11x+20
2b.Yes. When multiplying, it doesn't matter which term/expression you put first
3. The equation has two solutions: x=-2, x=3
Step-by-step explanation:
1. (a)
(0.5x-0.25)(5x²-2x+6)
0.5x(5x²-2x+6)-0.25(5x²-2x+6)
2.5x³-x²+3x -1.25x²+0.5x-1.5
2.5x³-2.25x²+3.5x-1.5
(b)
(0.25x-0.5)(5x²-2x+6)
0.25x(5x²-2x+6)-0.5(5x²-2x+6)
1.25x³-0.5x²+1.5x -2.5x²+x-3
1.25x³-3x²+2.5x-3
This is not equal to our answer for 1(a), so we can see they're not the same.
2(a)
(-2x³+x-5)(x³-3x-4)
-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)
-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20
-2x⁶+7x⁴+3x³-3x²+11x+20
(b)
Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.
3
2x²-2x-12=0
(divide each term by 2)
x²-x-6=0
(x+2)(x-3)=0
Anything multiplies by zero is zero, so either x+2=0 or x-3=0
If x+2=0, x=-2. If x-3=0, x=3.
The equation has two solutions: x=-2, x=3
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
78
Step-by-step explanation:
Arc GHJ is 81*2= 162 (the arc measure of an inscribed angle that does not cross the center of the circle is 2 times the measure of the angle
since arc GH is 84 and we need HJ, subtract 84 from 162=78
Over the past ten years, the population in a small city decreased by 12%, resulting in a current population of 105,000 people. What was the approximate population of the city ten years ago?
Answer:
119400
Step-by-step explanation:
The approximate population of the city was 119400
The radius of a sphere is 6 units. Which expression represents the volume of the sphere, in cubic units?
Answer:
ccc
Step-by-step explanation:
Frands collects marbles. In her collection are:
8 yellow marbles
4 white marbles
6 purple marbles
10 green marbles
Frands will randomly choose 1 of the marbles. What is the probability that she will choose a
purple marble?
Answer:
Step-by-step explanation:
VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV∀°←ω∵ωβ,≡⇅∑ωπω⇄Δ∫ωωω³²²²²
Which point is directly above (4, -1)?
(-4,1)
(4,1)
(4,-1)
Answer:
(4,1)
Step-by-step explanation:
1: Different x value (bad: 8 units to the left of original point), different y value (good: on higher horizontal line), d
2: Same x value (good: same vertical line), different/higher y value (good: 2 units above original point).
3: Same x value (good: same vertical line), same y value (bad: same horizontal line, didn’t move higher or lower).
I hope this makes sense lol
SOMEONE PLEASE HELP ME ASAP!!! GIVING 18 POINTS
Answer:
247.5
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
First, we solve 9x9-10/2=35.5
35.5-5=30.5
9x30.5=274.5
Please give brainliest.
Have a great day/night!
e+ 1.2= 2 please help!
Answer:
[tex]e=0.8[/tex]
Step-by-step explanation:
[tex]\mathrm{Subtract\:}1.2\mathrm{\:from\:both\:sides}[/tex]
[tex]e+1.2-1.2=2-1.2[/tex]
[tex]e=0.8[/tex]
Help pleaseeeeeeeeeee
Answer:
d
Step-by-step explanation:
Answer:
km/hr
Hope that helps! :)
Step-by-step explanation:
Kim works at a shoe store and makes $12.50 per hour. Last week she worked 34 hours, how much will her pay check be?
$46.50
$42.50
$465.00
$425.00
Will give brainliest
Answer:
$425.00
Step-by-step explanation:
12.5 times 34=$425
Rewrite the equation by completing the square.
4x2 – 12x + 9 = 0
Answer: x=3/2
Step-by-step explanation: Hope this help :D
Aria recorded her daily lemonade stand profit during one week. Which data representation would you use to show her profit over the week? Explain how you would draw it and what you would expect to see
Answer:
Step-by-step explanation:
a line graph would show the data over time.I would plot the days along the horizontal axis and each daily profit at points on the vertical axis.I would connect the points with lines.If her profit increasing each day, I would expect the line height to increase over time.
Answer:
There is already another answer:
line graph or bar graph because it shows you what day of the week you sell more lemonade.
Step-by-step explanation:
Emily jogged 8 miles due north, then turned east and jogged 15 miles. How many miles is
she from her starting point?
Answer:
The answer is 120
Step-by-step explanation:
I got it by timing 8 and 15 , and I got 120
PLZ ANSWER QUIKCLY
Which expression is equivalent to -12(3x-3/4)
-36x-8
-36x + 8
-36x-9
-36x +9
Answer:
Last one, -36x+9.
Explanation: You need to multiply negative times positive which is negative. But look at the last one -12×-3/4 equals positive 36/4 which equals 9.
Please help me pls ASAP thank YOUU
Answer:
I think D
Step-by-step explanation:
Sorry if it's wrong, but it's the only one I think makes sense. Brainlist me if u get it right! :)
A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair.
Answer:
Step-by-step explanation:
If this class contains these types of hair color THEN the class will have
3/10 kids with black hair
1/10 kids have red hair
2/5 kids have brown hair
1/5 kids have blonde hair
_________________________
In total the class has 20 kids
It is found that the total number of students in the class is 20.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and also 2 with red hair.
If this class contains these types of hair colors of the students, then the class will have;
3/10 kids with black hair
1/10 kids have red hair
2/5 kids have brown hair
1/5 of kids have blonde hair
Total = 6 + 8 + 4 + 2 = 20
In total, the class has 20 students.
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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The complete question is;
A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. What is the total number of students in the classes?
Which expression has a solution of 27, if r = 3? 8 r 6 r 9 r 7 r
Answer:
8r.
Step-by-step explanation:
If we substitute 3 into all of these equations, we get
8(3) which equals 24
6(3) which equals 18
9(3) which equals 27
7(3) which equals 21
8r is the one that equals 24 when 3 is substituted.
What is the area of the composite figure?
(Attached picture)
__cm²
Answer:
59.5
Step-by-step explanation:
area of the triangle is (7 x 3)/2=21/2=10.5
area of the square 7x7=49
In a test, the total of the marks scored by Sampat and Ganpat was 125% more than Sampat's
marks. Then the difference in their marks will be ___% of Ganpat's marks.
Help please I’m confused
Answer:
x=4 and y = 3 ...answer : 1
Step-by-step explanation:
hello :
x/8 =5/10 means : x=40/10 so: x=4
y/6 =5/10 means : y=30/10 so: y=3
4
Which polynomial has the highest degree?
A 3x12 - 2x + x5
B 8x - 200
© 15x3 + 3x2 - 10
D 150x3
Answer: A. [tex]3x^{12} - 2x + x^5[/tex]
Step-by-step explanation:
The degree in a polynomial is the greatest exponent of any term in that expression.A. [tex]3x^{12} - 2x + x^5[/tex]
Here, highest exponent = 12
Degree of polynomial =12
B. 8x-200
Here, highest exponent = 1
Degree of polynomial =1
C. [tex]15x^3 + 3x^2 - 10[/tex]
Here, highest exponent = 3
Degree of polynomial =3
D. [tex]150x^3[/tex]
Here, highest exponent = 3
Degree of polynomial =3
Option A. has the polynomial with the highest degree as 12.
Answer:
A. 3x12 - 2x + x5
Step-by-step explanation:
Hope this helps
marcus and anthony are selling camping equipment to try to earn money to buy three new gaming systems. Last month they sold backspacks for $25 a piece and surviaval kits for $29.50 a piece and made $749.50 they sold a total of 28 backpacks and survival kits. How many backpacks did they sell? How many survival kits did they sell?
Answer:
28 each
Step-by-step explanation:
+25 for backpacks
+749.50
Triangle 2 is a scale drawing of Triangle 1.
Based on the information in the diagram, what is the length of side b?
Answer:
36 would be the answer
Step-by-step explanation:
The length of side b in triangle 2 is 36.
What are similar triangles?Two triangles are similar if they have the same corresponding angles and their corresponding sides are in equal ratios.
Given that, there are two triangles, triangle 2 is a scale drawing of triangle 1.
Therefore, Δ 1~Δ 2,
According to the definition of similar triangles,
6/27 = 10/45 = 8/b
Therefore,
8/b = 6/27
8/b = 2/9
b = 36
Hence, the length of side b in triangle 2 is 36.
Learn more about similar triangles, click;
https://brainly.com/question/14926756
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h (t) = 2t - 2 g(t) = 4t + 5 Find (h(g(t))
Answer:
[tex]h(g(t))=8t+8[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]h(t)=2t-2\text{ and } g(t)=4t+5[/tex]
And we want to find:
[tex]h(g(t))[/tex]
So, by substitution, we acquire:
[tex]h(g(t))=2(4t+5)-2[/tex]
Distribute:
[tex]h(g(t))=8t+10-2[/tex]
Simplify:
[tex]h(g(t))=8t+8[/tex]
Name the song that goes with these lyrics
1. I was rocking off white tryna have a fun time she gone eat like lunch time molly got her on time
2. Im a first class baby u in last baby im a 90's baby but i cook that shi from the 80's
3. I know i have a purpose but ion see the purpose they tell me the death of me gone be the perkys i know the lace the ills i bought them on purpose lifes unreal when deaths uncertain
Answer:
1. I'll Be Fine - Juice Wrld
2. ON GOD - Juice Wrld
3. Rich and Blind - Juice Wrld
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 112 in.
The prism is filled with cubes that have edge lengths of 12 in.
How many cubes are needed to fill the rectangular prism?
Answer:
432
Step-by-step explanation:
Answer: 4032
Step-by-step explanation: 9x4x112 is 4032
i took the test and pls give brainiest
What is the area of this trapezoid?
A.264 units2
B. 204 units2
C. 174 units2
D.234 units2
Option : D
Hope it helps you!
Image attached. Thank you
Answer:
y=-x+1
Step-by-step explanation:
Slope intercept form is writing the equation of a line in the form y=mx+c, where m is slope and c is the y-intercept.
The y-intercept, c, is the value of y when the line crosses the y-axis. We can read from the graph that this value is 1. So, c=1
The slope, m, can be found by taking two points from the graph, (x,y) and (X,Y), and using the formula m=(Y-y)/(X-x). Two point on our line in this example are (0,1) and (-1,2):
m=(2-1)/(-1-0)=-1/1
m= -1
Knowing these values, we can write y=mx+c for our equation: y=-x+1