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
If a truck used 25 gallons to travel 375 mies, how many miles would it travel on 4 gallons of gas?
Answer:
93.75 miles if im not mistaken
Step-by-step explanation:
because the most miles is 375 so you would divide that number by four to see how many miles u can go before filling up again.
Hi I need ur help! (And this is the other one if you saw my last question)
Answer:
Hi gimmie brainly
thanks
If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week,
and as paid a weekly salary of $452 plus a commission of .9% on sales
between $15,000 and $25,000, with 1.1% paid on sales in excess of
$25,000, no commission is paid on the first $15,000, what is his gross
earning?
find x
help please, asap.
Answer:
110
Step-by-step explanation:
To solve first find the measurement of the angles inside the triangle. The angle across from the 60-degree angle is also 60 degrees because the two angles are vertical.
Then you can find the missing angle in the triangle by subtracting 50 and 60 from 180 because all triangles equal 180 degrees. This means y=180-(50+60); therefore, y=70.
Finally, you can x because the 70-degree angle is complementary to x. This means when they are added they will equal 180. So to solve do x=180-70, which equals 110. Therefore, x=110.
Answer:
180 - 50 - 60 = 70°
x = 180 - 70 = 110°
Michelle and Jay both earn money by melting scrap iron. The amount of iron melted by Michelle, y cubic feet, after x hours is given by the equation y = 17/3x . The graph shows the amount of scrap iron melted by Jay after x hours. Who is spending more time scrapping iron? The picture is down below!
Pls don't put a link or I will report you!
Answer:
Jay
Step-by-step explanation:
by the graph, after 10 hours, Jay melts 95 ft³
by the equation y = 17/3x, after 10 hours, Michelle melts 0.57 ft³
34 + (-21) +15 = 0
5
-2
NE
2.
Answer:
[tex]34 + ( - 21) + 15 = 28[/tex]
Help me pls I really need help
I think is 200 minutes
Allison designs fancy boxes to fill with chocolates. The boxes are in the shape of a right square pyramid as shown, where 8y represents the
length of one side of the base of the pyramid, and 5y represents the height of one triangular face of the pyramid.
8y
The large size box must be designed to have a volume of 1,000 cubic centimeters,
Create an equation that can be used to calculate the length of the base and height of the triangular face of the box. Enter your equation in
the first response box.
The requreid equation that can be used to calculate the length of the base and height of the triangular face of the box is:
8y ≈ 8.4 cm
5y ≈ 5.8 cm
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The formula for the volume of a square pyramid is:
V = (1/3) * base area * height
In this case, the base of the pyramid is a square with a side length of 8y, so the base area is:
base area = (8y)² = 64y²
The height of each triangular face is given as 5y, so the total height of the pyramid is 2 * 5y = 10y.
Substituting these values into the formula for volume, we get:
1000 = (1/3) * 64y² * 10y
y ≈ 1.16
Therefore, the length of the base of the pyramid is:
8y ≈ 8.4
And the height of each triangular face is:
5y ≈ 5.8 cm
So the equation that can be used to calculate the length of the base and height of the triangular face of the box is:
8y ≈ 8.4 cm
5y ≈ 5.8 cm
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ2
Can someone please give me the answers I will mark you brilliant as soon as it pops up
Answer:
1.) [tex]=50x+30y[/tex]
2.? The first one
Step-by-step explanation:
1.)[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex], [tex]a=10,\:b=5x,\:c=3y[/tex]
[tex]=10\cdot \:5x+10\cdot \:3y[/tex][tex]=50x+30y[/tex]
2.) The first one
Patrick is hanging supports on the
wall for a shelf. What is the measure
of the unknown angle?
Answer:
55
Step-by-step explanation:
straight lines are always 180.
[tex]180=125+x\\180-125=125+x-125\\55=x[/tex]
The first rule is add 10, then divide by 2 starting from 2. The second rule is multiply by 3, then subtract 2 starting from 2. What are the first four ordered pairs using the two sequences?
Question 7 options:
(2, 0), (6, 4), (8, 12), (9, 32)
(2, 2), (6, 4), (8, 10), (9, 28)
(6, 4), (8, 10), (9, 28)
(2, 2), (10, 8), (16, 20), (18, 56)
Answer:
B. (2, 2), (6, 4), (8, 10), (9, 28)
Step-by-step explanation:
I hope this helped! :D
4x^2+19x+19=0 to the nearest tenth
Answer:
the answer is
Step-by-step explanation:
HELP PLEASE HELP ME YOU'LL GET 50+ POINTS BRAINLIEST AND BRAINLIEST PLEADE HELP EM ANSWER CORRECTLY
Answer:
b
Step-by-step explanation:
its a curved line downwards linear is a straight line and it is decreasing
9996666669999999999999 + 767859439234567890
Answer:
9.9974345e+21
Step-by-step explanation:
im a big brain
If g(x) = -3(x) - 5 then g(?) = 25
10
-20
5
-10
Answer:
D) -10
Step-by-step explanation:
We will assign g(x) to be equal to 25, and then solve for x:
25 = -3x-5
30 = -3x
10 = -x
-10 = x
So D is correct
Answer:
-10 is correct option
Step-by-step explanation:
g(x)=-3(x)-5
g(-10)=-3(-10)-5
=30-5
=25
What is 442 divided by 13
Solve for x. The polygons in each pair are similar.
Answer:
x = 9
Step-by-step explanation:
We need to find the value of x if the polygons in each pair are similar.
As they are similar, the ratio of their sides are equal.
The sides of first polygon are 6,12 and 4.8. On the other hand, the sides of second polygon are (2x-9) and 18.
So,
[tex]\dfrac{6}{2x-9}=\dfrac{12}{18}\\\\\dfrac{6}{2x-9}=\dfrac{2}{3}\\\\\dfrac{3}{2x-9}=\dfrac{1}{3}\\\\x=9[/tex]
So, the value of x is equal to 9.
During a cross-country road trip, Nathan predicts that he will average 22.6 miles per gallon.
During the trip, he drives 2,882 miles and uses 131 gallons of gas. Calculate his percent error,
rounded to the nearest whole percent.
3%
6%
13%
22%
9514 1404 393
Answer:
(a) 3%
Step-by-step explanation:
Nathan's actual mileage was ...
(2882 mi)/(131 gal) = 22.0 mi/gal
The error can be computed from ...
error % = (predicted/actual -1) × 100% = (22.6/22 -1) × 100% ≈ 2.73%
Nathan's prediction was high by about 3%.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
QPN and TSU
Step-by-step explanation:
They're both exterior angles and they are both alternate to each other.
3×1/6 Please please help
Answer:
3 can be made into 3/1. multiplying fractions is easy, divide the numerators together and the denominators together. 3x1=3 and 1x6=6. the answer is 3/6 which can be simplified into 1/2
Step-by-step explanation:
hope this helps!
What is number 61 and a step by step explaination please?
1/3 ln(x) + ln(2) - ln(3) = 3
Recall that [tex]m\log_b(n)=\log_b(n^m)[/tex], so
ln(x ¹ʹ³) + ln(2) - ln(3) = 3
Condense the left side by using sum and difference properties of logarithms:
[tex]\log_b(m)+\log_b(n)=\log_b(mn)[/tex]
[tex]\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)[/tex]
Then
ln(2/3 x ¹ʹ³) = 3
Take the exponential of both sides; that is, write both sides as powers of the constant e. (I'm using exp(x) = e ˣ so I can write it all in one line.)
exp(ln(2/3 x ¹ʹ³)) = exp(3)
Now exp(ln(x)) = x for all x, so this simplifies to
2/3 x ¹ʹ³ = exp(3)
Now solve for x. Multiply both sides by 3/2 :
3/2 × 2/3 x ¹ʹ³ = 3/2 exp(3)
x ¹ʹ³ = 3/2 exp(3)
Raise both sides to the power of 3:
(x ¹ʹ³)³ = (3/2 exp(3))³
x = 3³/2³ exp(3×3)
x = 27/8 exp(9)
which is the same as
x = 27/8 e ⁹
Which distance measurement is the most precise?
O A. 73 yards
O B. 57 yards
O C. 29.25 yards
O D. 77.2 yards
Answer:
C- 29.25
Step-by-step explanation:
This answer goes into the thousendths place, meaning this is the most accurate.
what is the diameter of a circle with a radius of 4.375"? 2.187" or 2.375" or 8.375" or 8.750"
Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches. If 36 men are randomly selected, find the probability that they have a mean height greater than 72.3 inches. Round to four decimal places.
Answer:
0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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 estabilishes 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.
Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches.
This means that [tex]\mu = 71.3, \sigma = 2.1[/tex]
Sample of 36:
This means that [tex]n = 36, s = \frac{2.1}{\sqrt{36}} = 0.35[/tex]
Find the probability that they have a mean height greater than 72.3 inches.
This is 1 subtracted by the pvalue of Z when X = 72.3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{72.3 - 71.3}{0.35}[/tex]
[tex]Z = 2.86[/tex]
[tex]Z = 2.86[/tex] has a pvalue of 0.9979
1 - 0.9979 = 0.0021
0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.
Sam has a rope that is 5 feet long. Brittney has a rope that is 45 4 5 as long as Sam's rope. Logan has a rope that is 114 1 1 4 times as long as Sam's rope. Holly has a rope that is 88 8 8 as long as Sam's rope. Part A Without completing the multiplication, whose rope is longer than Sam's rope? Drag words and numbers to the boxes to explain. They may be used once, more than once, or not at all. added to
The vertices of the triangle shown are (-2, 2), (4, -1), and (-2, -3).
y
What is the area of the triangle?
O A 11 square units
OB 15 square units
o C.13 square units
O D. 17 square units
Answer: 15
Step-by-step explanation:
Plzzz help asappppppoppp
Answer:
C
Step-by-step explanation:
determine if function. HELLPPP If you awnser correctly i will try and give you a brainlyyyy. Also which one do I feel out in the bottom?
9514 1404 393
Answer:
(b) Function; The table follows the specific rules for being a function.
Step-by-step explanation:
The specific rule the table follows is that no input value is repeated. That is the only requirement for the relation to be a function.
HELP! WILL GIVE BRANLIEST!
Answer:
ITS X=14 GURL TRUST
Step-by-step explanation:
Simplify the following expression: 3x-(2+4x)
Answer:negative x and negative 2
-x -2
Step-by-step explanation: