Answer:
Explained below.
Step-by-step explanation:
The random variable X is defined as the number of stars in a given volume of space.
[tex]X\sim \text{Poisson}\ (\lambda=1)[/tex]
The probability mass function of X is:
[tex]p_{X}(x)=\frac{e^{-\lambda}\lambda^{x}}{x!}[/tex]
(7)
Compute the probability of exactly two stars in 16 cubic light-years as follows:
[tex]P(X=2)=\frac{e^{-1}\times 1^{2}}{2!}=\frac{e^{-1}}{2}=\frac{0.36788}{2}=0.18394\approx 0.184[/tex]
(8)
Compute the probability of three or more stars in 16 cubic light-years as follows:
[tex]P(X\geq 3)=1-P(X<3)\\\\=1-P(X=0)-P(X=1)-P(X=2)\\\\=1-\sum\limits^{2}_{x=0}[\frac{e^{-1}\times 1^{x}}{x!}]\\\\=1-0.36788-0.36788-0.18394\\\\=0.0803[/tex]
(9)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in 4 cubic light years there will be, 4 × (1/16) = (1/4) stars.
(10)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in t cubic light years there will be, [t × (1/16)] stars.
Given the parallel lines and transversal determine the value of x. Plz help due in an hour
Glimepiride 2mg OD is ordered in a prescription, your pharmacy has 4mg stocks on hand. How much tablet will you give? 2mg
which is greater 1/8 or 3/20
Answer:
1/8
Step-by-step explanation:
A water tower holds 26400 gallons of water. The water company can fill the tower at a rate of 20 gallons per minute,
How many hours would it take the water company to all the tower if it is completely empty?
o 22 hours
24 hours
220 hours
0 440 hours
Answer: 22 hours
Step-by-step explanation: 26400/20 is 1320 and 1320/60 is 22
The range of the following relation R(3,-2), (1, 2), (-1, -4),(-1, 2)} is {-1, 1, 3) {-1, -1, 1.3} (-4, -2, 2. 2) (-4, -2.2 without it saying brainly plus
Answer:
{-4, -2, 2}Step-by-step explanation:
Given relation
R {(3,-2), (1, 2), (-1, -4),(-1, 2)}Its range is the set of second values in the pairs
{-2, 2, -4}In the ascending order
{-4, -2, 2}Answer:
{-4, -2, 2}
Step-by-step explanation:
The relation is {(3, -2), (1, 2), (-1, -4),(-1, 2)}
The range is all possible y values apart from any duplicates.
y = -2, 2, -4, 2
Removing all duplicates we get.
y = -2, 2, -4
Put them in order.
y = -4, -2, 2
Best of Luck!
Given m||n, find the value of x.
t
>m
(7x-1)
(9x+5)
Answer:
Step-by-step explanation:
-13m-or+t m(484m+63t)/63m
Graph (f(x)+-2((x+3)(x-1). Label the x intercepts, vertex and axxis of symmetry
Answer: x-intercepts: (-3,0), (1,0)
vertex: (-1,8)
axis of symmetry: x = -1
Step-by-step explanation:
How do I solve -0.4r=16?
Answer:
r = -40
Step-by-step explanation:
1. Move constants to the other side of the equation
r = 16/-.04
2. Simplify (by calculator)
You can use a calculator and plug in 16/-.04
r = -40
2. Simplify (by fraction)
You can turn -.4 into a fraction.
-.04 = - 4/10
r = 16/-(4/10)
r = 16*10/-4
r = -40
which 1 is the answer
Answer:
The second one
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
B is the answer have a great day
The sales tax on a used car is $102, and the sales tax rate is %5. Find the purchase price (the price before taxes are added).
Answer:
.04p = 102
p = 2550
The original price is $2550.
When Michael Jordan retired from basketball he had the third highest scoring total in NBA history at 32,292 points an average 30 points per game for his whole career. However, Kobe Bryant passed Jordan on the list for third place with 33,643 points before COBE retired. If Michael Jordan started playing again, how many games would he have to play to catch cobia for third place? (You must write an equation and show you were to support your answer)
9514 1404 393
Answer:
46 games
Step-by-step explanation:
Let g represent the number of games played at 30 points per game. Then Jordan's total score would be
32292 +30g
We want to find the value of g that makes this total 33,643:
32292 +30g = 33643
30g = 1351
g ≈ 45.03
Jordan would have to play 46 games to regain 3rd place.
_____
After 45 games, Jordan's point total would be 33,642, which is 1 point short of Bryant's record.
2. Given 3,989, 825;
round to the nearest
ten thousand, hundreds, and thousands
Answer:
then thousand -3,990,000
hundred -3,989,800
thousands-3,990,000
hope this helped :)
explain why a student who runs 3/4 mile in 6 minutes is faster than a student who runs 1/2 mile in 5 minutes.
Answer:
A student who runs 3/4 mile in 6 minutes is faster than a student who runs 1/2 mile in 5 minutes because when you simplify both fractions to per minute, the student who ran 3/4 mile in 6 minutes (1/8 mile per min) ran faster than the student who ran 1/2 mile in 5 minutes (1/10mile in 1 min).
Step-by-step explanation:
[tex]\frac{3/4mile}{6min}[/tex] divided by 6 to get per min =
1/8 mile per min
What is the value of 5 Z when Z is equal to 2
Answer:
10?
Step-by-step explanation:
5 times Z= 5x 2= 10
plese help im in 2nd grade and this is really hard all the kids in my class know it but me
Answer:
This isn't in second gradee- x-x
Step-by-step explanation:
Answer: For x such that 0<x<(pie/2), the expression:
[square-root(1-cos^2(x)]/sinx + [square-root(1-sin^2(x)]/cos(x)
is equivalent to,
F. 0
G. 1
H. 2
J. -tan(x)
K. sin2x
The answer is H.
Step-by-step explanation:
can you guys help me pls what is [34 + (9×2)]÷2= what is it pls help
Answer:
306
Step-by-step explanation:
In a casino in Blackpool there are two slot machines (machine 1 and machine 2): one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20% of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random (this turns out to be machine 1) and put a coin into it. Given that you loose that first bet estimate the probability that machine 1 is the more generous of the two machines
What do I know?
What do I want to find out?
What do I expect the answer to be?
How do I go from what I know to what I want to find?
Is the answer consistent with what I expected?
Answer:
Given that;
a)
2 machines, 1 and 2
Machine 1
pays 10% of times when the machine is generous
So the probability that the machine 1 pays given that its generous is
P (Pays/machine 1 is generous) = 10% = 0.10
Machine 2
pays 20% of times when its generous
i.e the probability that the machine pays given that its generous is;
P (Pays / machine 2 is generous) = 20% = 0.20
Also we assume there is equal chance of being generous
i.e
P(machine 1 is generous) = P(machine 2 is generous ) = 0.5
b)
this is to help obtain the probability that machine 1 is generous given that the player loose in the first bet,
i.e P(machine 1 is generous / lost)
c)
Since, the probability that the machine is generous is 0.5,
it can be said that there is 50% chance that machine 1 is generous when the player loses the first bet
d)
therefore The required probability is calculated as;
P(machine 1 is generous/lost) = p(machine 1 is generous ∩ lost) / p (lost)
= [p(lost/machine 1 is generous) × p(machine 1 is generous)] / [{(1-p(pays/machine 1 is generous)) × p(machine 1 is generous)} + {((1-p(pays/machine 2 is generous)) × p(machine 2 is generous)}]
= [(1 - p(pays/machine 1 is hereous)) × p(machine 1 is generous)] × [(( 1- 0.10) × 0.5) + ((1 - 0.20) × 0.5)]
= ( 1- 0.10) × 0.5) / 0.85
= 0.5294
so the probability that the player loses the first bet given that the machine is generous is 0.5294
e)
Since the gotten probability that the player loses the first bet given that machine 1 is generous is close to 0.50 then it can be said that the probability is consistent with the expectations.
The total amount of money that he had deposited into his account at the end of March is what
Answer: 1,200.65+ 985.43+ 1,200.23= 3,386.31
Step-by-step explanation:
What number when divided by 10 to the second power yields a quotient of 0.1?
Answer:
1
Step-by-step explanation:
1 ÷ 10 = 0.1
hope this helped
An elevator steadily descends 500 feet in 20 seconds. How would you express the change in the elevator's height per second?
Answer:
The elevator goes 25 feet per second.
Step-by-step explanation:
The elevator goes 500 feet every 20 seconds so to find how hogh it gets to in 1 second, you have to use the equation 500 divided by 20 to get 25.
Hope this helps idk if it will tho.
A study was conducted on the effects of divorce. Researchers gathered data from a random sample of 5,125 adults and measured quite a few variables, in addition to the explanatory variable of divorce and the response variable of shorter life span. According to a newspaper article summarizing the study, those who divorced were more likely to be less physically active, at an unhealthy weight, and smokers. Those who were married were about 15% more likely to be deceased. What conclusion can we draw from this study? Explain. (5 points) We can infer a cause-and-effect relationship because the sample was selected randomly. We cannot infer a cause-and-effect relationship because we do not have a control group. We can infer a cause-and-effect relationship because multiple variables were included. We cannot infer a cause-and-effect relationship because the treatments imposed were not blocked correctly. We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.
Answer:
We can infer a cause-and-effect relationship because multiple variables were included.
Step-by-step explanation:
The multiple attributes for the divorced ones are
1) less physically active
2) an unhealthy weight,
3) smokers.
The attribute showing the % of the married is
1) death
So when we compare the two groups married and divorced we see different variables are involved in evaluating the percentage.
This shows a cause and effect involving multiple variables.
In cause and effect one variable is dependent and the other is independent.
The cause is the independent variable and effect is the dependent variable.
CAUSE EFFECT
Married Death
Divorced 1) less physically active
2) an unhealthy weight,
3) smokers.
Answer:
We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
A
Step-by-step explanation:
it just is.
Answer:
a sq rt 38
Step-by-step explanation:
a=6.1
b=5.9
c=6.7
d=6.9
a is closet to dot between 6 and 7
Multiply.
(2x + 4)(x - 4)
Answer:
-2x-16
Step-by-step explanation:
so what you are going to do for this is use the distributive property. 2x will be multiplied by x and -4. then you will take 4 and multiply x and -4. then you combine your alike terms. 2x-8x+4x-16 you should get -2x-16
The equivalent expression after multiplying is 2(x² - 2x - 8).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(2x + 4) (x - 4)
Remove the parenthesis.
2x² - 8x + 4x - 16
Add like terms.
2x² - 4x - 16
Taking out the common factor.
2 (x² - 2x - 8)
Thus,
The final expression is 2(x² - 2x - 8).
Learn more about expressions here:
https://brainly.com/question/3118662
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3 (-2x + 1)
What does this equal
Answer:
-6x+3
Step-by-step explanation:
A pet store has cats. Here are their weights (in pounds).
8, 5, 14, 12, 7
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
Answer: 9.2
Step-by-step explanation: 8+5+14+12+7. = 46
46÷5= 9.2
Problem
What is the slope of the line that contains these points?
***********
slope:
PLEASE, I NEED HELP!!!!
MATHS!!!
Answer:
a
Step-by-step explanation:
A______ is a value, usually in the form of a letter or symbol, that can change or that represents an unknown quantity.
Answer:
Variable
Step-by-step explanation:
Find the solution of the system of equations
4x-8y=44
2x+4y=-6
It is easiest to solve this system by elimination.
4x-8y=44
(2x+4y=-6) -2 ----> multiply the second equation by -2 to create equations where the x coefficients are opposites
4x-8y=44
(+) -4x-8y=12
-16y=56
y = -7/2
now substitute the value of y into one of the above equations and solve for x
4x – 8(-7/2) = 44
4x + 28 = 44
4x = 16
X = 4
So, the solution is (4, -7/2)
The solution of the system of equations 4x-8y=44 and 2x+4y=-6is (4, -3.5).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equation is 4x-8y=44 ...(1)
and 2x+4y=-6...(2)
To eliminate y term we have to multiply equation 2 with 2.
4x+8y=-12..(3)
Now add equation 1 and 3.
4x-8y+4x+8y=44-12
8x=32
Divide both sides by 8
x=4
Now plug in x value in equation 1
4(4)-8y=44
16-8y=44
Subtract 16 from both sides
-8y=44-16
-8y=28
Divide both sides by 8
y=-28/8
y=-7/2
=-3.5
Hence, the solution of the system of equations is (4, -3.5).
To learn more on Equation:
https://brainly.com/question/10413253
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can someone please help me :)
Answer:
C
Step-by-step explanation:
These pairs are both interior angles and are consecutive because they are divided by a transversal.