Answer:
The average number of skiers in Lavilla are 1,600 skiers
Step-by-step explanation:
The number of skiers that come to Lavilla on average each week = 2,800 skiers
The number of days each skier stays in Lavilla = 4 days
The amount each skier spends in local restaurants daily = $40
According to Little's Law, we have;
L = λ·W
Where;
L = The average number of skiers in Lavilla
λ = The effective arrival rate of the skiers = 2,800 skiers per week arrive
W = The number of days each skier stays at Lavilla = 4 days = 4/7 week
The average number of skiers in Lavilla, 'L', is therefore, given as follows;
L = 2,800 skiers/weel × (4/7) week = 1,600 skiers
The average number of skiers in Lavilla, L = 1,600 skiers
In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime. The government is deciding whether to rely on the clairvoyant Precogs to stop the criminals before they commit the crime. If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time (in other words, the Precogs fail to predict crime only in 0.001% of the cases). If a person is not going to commit a crime, the Precogs identify that person as law-abiding 99.99% of the times (in other words, the Precogs convict innocent people only in 0.01% of the cases). What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime
Answer:
0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Flagged as future criminal
Event B: Commits a crime.
In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime.
This means that [tex]P(B) = \frac{100}{1000100} = 0.00009999[/tex]
If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time
This means that [tex]P(A|B) = 0.99999[/tex]
Probability of being identified as a criminal:
0.99999 out of 0.00009999(identified and commits crime).
(1-0.99999) out of (1-0.00009999) (identifed and does not commits crime). So
[tex]P(A) = 0.99999*0.00009999 + (1-0.99999)*(1-0.00009999) = 0.000109988[/tex]
What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.00009999*0.99999}{0.000109988} = 0.9091[/tex]
0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime
Compare and contrast the AA similarity criterion with the ASA congruence criterion. Choose the correct answer.
A. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
B. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the non-included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
C. Both criteria require that two pairs of angles be congruent, but for congruence you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same size.
D. Both criteria require that two pairs of sides be congruent, but for congruence you also need to know that the included angles are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape.
Answer:
A
Step-by-step explanation:
Both criteria require that two pairs of angles be congruent, but for congruence, you also need to know that the included sides are congruent, so that the figures are the same size. The AA similarity criterion shows only that the two triangles are the same shape. Thus option A is correct.
What is AA similarity criterion?According to the Angle-Angle (AA) criterion, two triangle being considered comparable if "two angles from one triangle are equally equivalent to two angles of some other triangle."
According to the ASA congruence rule, two triangles are compatible when their two covered sides and two contained angles are equivalent to each other. However, thus according to AAS, if two triangles have two angles as well as one side that are identical to one another, then perhaps the triangles are congruent.
Because ASA and AAS are identical since it follows that if two images in one triangle are equal with two angles in another, therefore the third angles must likewise be identical. Therefore, option A is the correct option.
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9x + 8y = 10
y = -4x + 7
Answer:
X=2
Step-by-step explanation:
9x+8(-4x+7)=10
9x+(-32x)+56=10
-23x=10-56
-23x=-46
X=-46/-23
so X=2
write an equation in slope intercept form for the line that has a slope of 4 and passes through the point (3,24)
Answer:
y=4x+12
Step-by-step explanation:
Divide.
The area of a rectangular patio is 87 square feet. The length of the patio is 8 feet. What is the width of the patio?
Enter the correct answer in the box.
Answer: the width should be 12 i might be wrong i might of overthinked it the question ;-;
12x13=? please help I only know up too 12 not. 13 helppppp
Answer:
156
Step-by-step explanation:
hopefully this is the answer you're looking for
Answer:
156
Step-by-step explanation:
the answer of the product of 12 and 13 is 156
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 27 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years. Suppose that it is somehow known that the population standard deviation is 1.4. Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal.
Answer:
sigma should be used
Step-by-step explanation:
Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.
The above given is for sample of 27 size.
For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.
But once population std deviation is given, we use only that as that would be more reliable.
So here we can use population std deviation 1.4 only.
If population std deviation is used we can use normality and do Z test
Hope this helps ;)
Need help with a math HW question urgently
If 1
Answer:
E
Step-by-step explanation:
an online store sells DVDs for $10 each the shipping charge for an entire order is $5.50 Frank order d DVDs write an expression that represents the total cost a Frank's DVDs
10d + 5.50 = x (the total cost)
Help for instant brainliest.
Answer:
first option
Step-by-step explanation:
the working is reallly long im lazy to type hehe sorry
Answer:
Option A
Hope this helps! :)
2) 8x +9y = 82
2x + 2y = 20
One year, the population of a city was 80,000. Several years later it was 66,400. Find
the percent decrease.
Answer:
The population decrease by 17%.
Step-by-step explanation:
This is because 66,400 is 83% of 80,000.
100%-83%= 17%
Therefore, the percentage of the population that decreased was 17%
Which table of values represents a linear function?
Answer:
B is the table value which represents the l
true or false???????
Answer:
true that trump = worst president
Step-by-step explanation:
Answer:
1.)A rhombus is a quadrilateral with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses.
2.) When all 4 sides of a rectangle are equal then the rectangle is a square. So, a rectangle can also sometimes be a square
3.)If you have a rhombus with four equal interior angles, you have a square. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.
4.)Yes. Every square is a closed figure, and every square has 4 straight sides, so every square is a quadrilateral.
Step-by-step explanation:
hope this helps <3
Classify the system of equations.
2x = -2- y
5+ y = -2x + 6
Click on the correct answer.
coincident
intersecting
parallel
Simplify the expression below.
12x+8+7x+-4
help plz
WILL MARK BRAINLYIST
Bashir deposits money into a savings account every year. In his first year of saving money, he deposited $1,500.
Each year after that, he deposited $2,250. Write an explicit expression to represent the total amount of money, in
dollars, Bashir has deposited into his account, where n represents the number of years he has been contributing
money to the account.
Answer:
[tex]y = 2250x + 1500[/tex]
Step-by-step explanation:
In Sahara Desert one day it was 130°F. In the Gobi Desert a temperature of -40°F was recorded. What is the difference between these two temperatures?
Answer: 170 degree difference
Answer:
The difference between two numbers canbbe obtained substracting.
The diffence between 130 °F and -40 °F would be the same as substracting both numebrs (we should put an absolute value as the difference is positive).
130 - (-40) = 130 + 40 = 170 ° F
So the difference is of 179 °F
Find the function value.
f(-14) if f(x) = 2x - 3
Answer:2x-3
Step-by-step explanation:
Answer:
f(x) = -31
Step-by-step explanation:
We know that f(x) means y.
f(x) = 2x - 3
f(x)= 2(-14)-3
f(x)=-28-3
f(x )= -31
Please give Branliest!! Hope this helps!!
Abu solved 231 multiplication problems. Later, he also solved 131 divison problems. How many more multiplication problems than divison problems did Abu solve?
Answer:
Easy! Abu solved 100 multiplication problems more than division problems
Step-by-step explanation: Just take 231 - 131 = 100 :D
7. A car dealership has 8 red, 9 silver, and 5 black cars on the lot. Seven cars are randomly chosen to be displayed(in no particular order) in front of the dealership. Find the probability that (a) all are silver (b) 5 are red and 2 are black (c) 4 are red and the rest are silver
Answer:
a) 0.0002 = 0.02% probability that all are silver.
b) 0.0033 = 0.33% probability that 5 are red and 2 are black
c) 0.0345 = 3.45% probability that 4 are red and the rest are silver
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the cars were selected is not important, so we use the combinations formula.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
(a) all are silver
Desired outcomes:
7 silver cars, from a set of 9. So
[tex]D = C_{9,7} = \frac{9!}{7!(9-7)!} = 36[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{36}{170544} = 0.0002[/tex]
0.0002 = 0.02% probability that all are silver.
(b) 5 are red and 2 are black
Desired outcomes:
5 red, from a set of 8
2 black, from a set of 5
[tex]D = C_{8,5}*C_{5,2} = \frac{8!}{5!(8-5)!}*\frac{5!}{2!(5-2)!} = 56*10 = 560[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{560}{170544} = 0.0033[/tex]
0.0033 = 0.33% probability that 5 are red and 2 are black
c) 4 are red and the rest are silver
Desired outcomes:
4 red, from a set of 8
3 silver, from a set of 9
[tex]D = C_{8,4}*C_{9,3} = \frac{8!}{4!(8-4)!}*\frac{9!}{3!(9-3)!} = 70*84 = 5880[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{5880}{170544} = 0.0345[/tex]
0.0345 = 3.45% probability that 4 are red and the rest are silver
Using related equations, what is the solution of this equation ? List the related equations
7w = 92
Don’t use me for points
Step-by-step explanation:
Divide both sides of the equation by the same term
7w = 92
[tex]\frac{7w}{7} =\frac{97}{7}[/tex]
Simplify
Cancel terms that are in both the numerator and denominator
[tex]w =\frac{92}{7}[/tex]
Answer:
[tex]w= \frac{92}{7}[/tex]
what is an equal expression for 8(5m+5n-1) ?? Please and Thank you
Please help me, I will give brainliest, I am struggling badly.
Answer:
Slope Number 1 is Harry.
Step-by-step explanation:
y = -1/2 + 30
-1 being one less exercise to complete
2 being the 2 minutes spent on each exercise
and 30 being the number of exercises
What is the volume, in cubic inches, of one cube with an edge length of 1/3 inch
Answer:
1/27 cubic in.
Step-by-step explanation:
1/3*1/3*1/3= 1/27
The volume of the cube if, its edge length is 1/3 inch is 1 / 27 inches³.
What is volume?The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.
Given:
The length of the edge = 1 / 3 inches,
Calculate the volume of the cube as shown below,
The volume of the cube = The length of the edge × The length of the edge × The length of the edge
The volume of the cube = 1 / 3 × 1 / 3 × 1 / 3
The volume of the cube = 1 / 27
Thus, the volume of the cube is 1 / 27 inches³.
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Solve the system of linear equations by substitution.
y = 8x – 6
2x – 4y = 24
Midtown Antiques has found that sales have decreased 5% from last year. Sales this year are $108,665. To the nearest dollar, find the amount of last year's sales. a. $115,384 c. $114,374 b. $114,384 d. $114,284
Answer:
b on edu
Step-by-step explanation:
A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds? Use d= r x t
Answer:
I think 512 feet in 16 seconds.
Ex astea 2 plzzzzzzzz
Given the functions =−12 (2)x+3. Select all statements that are true.
