This question is incomplete, the complete question is;
The times when goals are scored in hockey are modeled as a Poisson process in Morrison (1976). For such a process, assume that the average time between goals is 15 minutes.
(The parameter of the hockey Poisson Process is lambda = 1/15 )
(i) In a 60-minute game, find the probability that a fourth goal occurs in the last 5 minutes of the game?
(ii) Assume that at least three goals are scored in a game. What is the mean time of the third goal?
Answer:
i) the probability that a fourth goal occurs in the last 5 minutes of the game is 0.068
ii) The mean time of the third goal is 33.5 minutes
Step-by-step explanation:
Given the data in the question;
The parameter of the hockey Poisson Process λ = 1/15
i)
Let us represent the probability of a fourth goal in the last 5 min in a 60 min game with X.
Thus, we find the probability that X is greater than ( 60min - 5min) and less than or equal to 60min
so;
p( 55 < X ≤ 60 ) = [tex]\frac{1}{6} \int\limits^{60}_{55} (\frac{1}{15})^4 ( t^3) (e^{-t}) dt[/tex]
p( 55 < X ≤ 60 ) = 0.06766 ≈ 0.068
Therefore, the probability that a fourth goal occurs in the last 5 minutes of the game is 0.068
ii)
Also let us represent the probability that at least 3 goals are scored in the game with X
Now, the mean time of the third goal will be;
P(X|X < 60 ) = [tex]\frac{1}{P(X<60)} \int\limits^0_{60} t\frac{(1/15)^3 (t^2) ( e^{-t/15}) }{2} dt[/tex]
P(X|X < 60 ) = 25.49 / 0.76
P(X|X < 60 ) = 33.539 ≈ 33.5
Therefore, the mean time of the third goal is 33.5 minutes
333zzzzzzzzzzzgggggggggggggh
Answer:
pointssss
Step-by-step explanation:
Use the following dot plot to answer the questions.
What is the mean of the set?
If an additional dot is added to the set in the 3 column, how will the mean change? What will the new mean be?
Answer:
3.4
Decrease ; 3.375
Step-by-step explanation:
Mean = Σfx / Σf
Σfx = (1 * 2) + (2 * 2) + (3 * 3) + (4 * 9) = 51
Σf = 1 + 2 + 3 + 9 = 15
Mean = 51 / 15 = 3.4
If 1 more dot is added to the 3rd column:
Σfx = (1 * 2) + (2 * 2) + (3 * 4) + (4 * 9) = 54
Σf = 1 + 2 + 4 + 9 = 16
Mean = 54 / 16 = 3.375
Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
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Answer:
1.75 * 0.84
Step-by-step explanation:
1.74 * 0.84 = 1.4616
1.79 * 0.69 = 1.2351
Answer:
1.74 x 0.84 is greater
Step-by-step explanation:
1.74 x 0.84 = 1.4616
while
1.79 x 0.69 = 1.23509
Find the absolute value
|-7|
Answer:
7
Step-by-step explanation:
hello :
|-7| = - (-7) = 7
Answer:
the absolute value of l-7l is 7
hope it helps.
Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can check that it is equivalent.
Answer:
[tex]-3 + 2x[/tex]
Step-by-step explanation:
Given
[tex]2x - 3[/tex]
Required
An equivalent expression
The expression can be rewritten as:
[tex]-3 + 2x[/tex] ---- commutative property of addition
[tex]2x - 3[/tex] and [tex]-3 + 2x[/tex] are equivalent
An expression that has two terms that is equivalent to 2x – 3 is - 3 + 2x
Given:
2x - 3
There are just two terms in the expression
2x (coefficient)-3 (constant)The two terms can be written interchangeably to form a new expression equivalent to the same
-3 + 2x (This is based on the cummutative property of addition)
The new expression equivalent to 2x - 3 is -3 + 2x (minus 3 plus 2x)
Learn more about equivalent expression:
https://brainly.com/question/2972832
solve this please I need it immediately
Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8.
Answer:
In this problem, given the focus at (2,4) and directrix at y = 8. then it is implied that the parabola is facing downwards. The vertex hence is at the middle of the focus and the directrix, hence at (2, 6). The general formula of the parabola is y-k = -4a ( x-h)^2. Substituting, y -6 = -1/8 *(x-2)^2. Answer is A.
NEED 22-24 AND 31-33 FAST
Answer:
22-24= -2
31-33= -2
Step-by-step explanation:
need answers nowww
1. A number that can be expressed in the form of where p, q E Z and
9
q+0 is called
A. Integers
B. Rational numbers
C. Whole numbers
D. Positive numbers
Answer:
i thinks its a. integers
Step-by-step explanation:
hope its help and soory if im wrong
what is the approximate volume of the cylinder use 3.14 for π
Answer:
904.32 cm²
Step-by-step explanation:
V = πr²h
V = 3.14 × (6 cm)² × 8 cm
V = 904.32 cm²
17/3 divided by 2/3 help please!:))
Answer:
0.94444444444
3
) A basket filled with tomatoes had a mass of 2330 g. After 3/5 the tomatoes were
taken away, the mass of the basket with the remaining tomatoes was 1550 g
What was the mass of the empty basket?
Answer: 1030 g
Step-by-step explanation:
Given
Mass of basket and the tomatoes is 2330 g
After [tex]\frac{3}{5}[/tex] of tomatoes were taken away, the mass with the basket is 1550 g
Suppose x is the mass of tomatoes and y is the mass of the basket
[tex]\therefore x+y=2330\quad \ldots(i)\\\\y+(1-\dfrac{3}{5})x=1550\\\\y+\dfrac{2}{5}x=1550\quad \ldots(ii)[/tex]
Solve the above equations. We get
[tex]x=1300,y=1030[/tex]
So, the mass of the empty basket is 1030 g.
How many degrees Fahrenheit is -20°C?
answer:
-4°f
step-by-step explanation:
(-20°c × 9/5) + 32
= -4°f
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
can somebody please answer this question correctly please
Answer:
sorry i don't know the answer
Answer:
so I know the first answer
Step-by-step explanation:
so total is 40 points but the total is divide by 2 points so we get 20 questions so if u get 6 wrong then you get 20-6=14... therefore the score with 6 wrong is 14
A biker traveled 20 miles in 4 hours. A unit rate to describe this would be 5 miles per hour. What is another unit rate in this situation?
1. 1/5 mile per hour
2. 1/5 hour per mile
3. 1 mile per hour
4. 5 hours per mile
Answer:
20 miles) / (4 hours) = (20/4) (miles/hours) = 5 miles per hour
(4 hours) / (20 miles) = (4/20) (hours/miles) = 0.2 hours per mile =
12 minutes per mile
75.5% of the students at Sarasota Community College are from in state. If 24,950 students are from in state, how many students attend the college?
Answer:
33046 students
Step-by-step explanation:
Find how many students attend the college by dividing 24,950 by 0.755
24,950 / 0.755
= 33046.36
Round down, since the answer has to be a whole number:
33046.36
= 33046
So, approximately 33046 students attend the college
How can I solve this?
Answer:
a
Step-by-step explanation:
bc dats highest point
The Answer is B
............
Carl is balancing his checking account. After comparing the bank statement to his register, he notices an outstanding debit of $58.00.
Which shows the correct amount in Carl’s checking account?
. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of allowable sampling error is 5% and the estimated population standard deviation is unknown. Q/A6.1. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of allowable sampling error is 5% and the estimated population standard deviation is unknown.
Answer:
900 sample size
Step-by-step explanation:
To determine the sample size for a proportion, the margin of error formula is used to determine this:
[tex]E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }[/tex]
[tex]n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2[/tex]
Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, [tex]Z_\frac{\alpha }{2}[/tex] is the z score.
Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5
E = 5% = 0.05, [tex]Z_\frac{\alpha }{2}[/tex] = 3. Hence:
[tex]n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900[/tex]
Josie makes peanut butter sandwiches. She uses 1/8 cup of peanut butter on each sandwich. How many cups of peanut butter dose she need for 9 sandwiches?
Answer:
9/8
Step-by-step explanation:
.........................
A serving of rice is 1/3 of a cup. How many servings are there in a 1 1/3-cup bag of rice?
Answer:
4 cups
Since 1 1/3 is 1/3 x 4 that means there are 4 servings
Hope this Helps!
========================================================
Explanation:
It might help to imagine that you had a measuring spoon that is 1/3 cup. Note how exactly three of them gets you to a full cup since 3*(1/3) = 3/3 = 1.
Adding another helping of the measuring spoon gets you to the mixed number of 1 & 1/3. This is because the mixed number 1 & 1/3 is identical to the math expression 1 + (1/3). We add the fractional portion 1/3 on top of the whole number 1. That's why the verbal form of this is "one and one-third". The "and" says "add" more or less.
In short, we need 3 servings to get to one full cup. Then that fourth serving will get us to 1 & 1/3 cup.
A=(2,3) B=(4,5)
Find vector equation of staraight line parallel to vector B and passing through point A hence obtain cartesian equation
Answer:
[tex]r= a + \lambda \: b \\ vector \: equation : \\ \binom{x}{y} = \binom{2}{3} + \lambda \: \binom{2}{2} \\ cartesian \: equation : \\ \frac{x - 2}{2} = \frac{y - 3}{2} = \lambda[/tex]
what is the approximate volume for a ice cream cone with a radius of 3 and a diameter of 14
Answer:
131.95
Step-by-step explanation:
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
[tex]v = \frac{1}{3} \times 3.142 \times {3}^{2} \times 14 \\ v = \frac{1}{3} \times 3.142 \times 9 \times 14 \\ v = 131.964 {cm}^{3} [/tex]
Which values are solutions of the inequality 5 < y -8
8 , 9. , 13. , 15. , 20
Answer:
5 is greater than y-8 since 5 is positive it + in the begging +5 while - 8 is less than 0 because it has - in the begging
Answer: 15 and 20
Step-by-step explanation:
just did this
Given the diameter of 12 in, find the sector area of each sector
A. 5.33 in
B. 1.33 in
C. 9.42 in
D. 4.19 in
so the total area is 113.04 and divide that in the total sections is 113.04 by 12 = C 9.42 in
Ms. Thomas has a class of 16 students. She can spend 24 on each student to buy math supplies for the year. She first buys all of her students calculators, which costs a total of 79.04 . After buying the calculators, how much does she have left to spend on each student?
Answer: 19.06
Step-by-step explanation:
The Gordon family has a disposable annual income of $44,350. They spend 19% of their disposable income for food. How much do they spend weekly for food (Note: There
are 52 weeks in a year)?
$149.43
$158.77
$162.05
$165.23
None of these choices are correct.
Answer:
$162.05
Step-by-step explanation:
Calculation to determine How much do they spend weekly for food
Using this formula
Amount spent weekly=(Annual Disposable income*Disposable income percentage)/Numbers of weeks in a year
Let plug in the formula
Amount spent weekly=($44,350*19%)/52 weeks
Amount spent weekly=$8,426.5/52 weeks
Amount spent weekly=$162.048
Amount spent weekly=$162.05 (Approximately)
Therefore the amount they spent weekly for food is $162.05
I walk into the Psych department and notice that there is a large box of differently colored pens and pencils being given away for free. There are: 8 red pens 4 red pencils 6 blue pens 10 blue pencils 15 black pens Report all probabilities as a decimal rounded to FOUR decimal places. YOU MUST SHOW YOUR WORK TO GET FULL CREDIT! What is the probability of reaching in twice and first pulling out a blue item and then either a red pencil or a black pen WITH REPLACEMENT
Answer:
= 2608/8729 which is approx. 30%
Step-by-step explanation:
Probability (Blue, Red Pencil OR Black Pen)
= 16/43 x (4/14 + 15/29)
= 16/43 x 163/203
= 2608/8729
A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the
radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
The tank must remain intact for lears.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)
Answer:
t = 1180 years
Step-by-step explanation:
We will solve this using the radioactive decay formula which is;
A = A_o × 2^(-t/h)
Where;
A = Amount of liquid remaining after time (t)
A_o = initial amount of liquid at initial time
t = time of decay
h = half-life of the liquid
We have;
A_o = 1(we assume it is 100% which is 1)
A = 0.02% = 0.0002
h = 96 years
Thus;
0.0002 = 1 × 2^(-t/96)
0.0002 = 2^(-t/96)
(-t/96)log 2 = log 0.0002
(-t/96) = (log 0.0002)/log 2
(-t/96) = -12.2877
t = 96 × 12.2877 (negative has canceled out)
t = 1179.6192
To the nearest year gives;
t = 1180 years
Find the equation below. NO BOTS!!!