A restaurant has a total of 60 tables. Of those tables, 38 are round and 13 are located by the window. There are 6 round tables by the window.If tables are randomly assigned to customers, what is the probability that a customer will be seated at a round table or by the window? (29/60, 47/60, 41/60, or 45/60)
Answers
Given:
\(\begin{gathered} Total-table=60 \\ round-table=38 \\ window-side-table=13 \\ round-table(window-side)=6 \end{gathered}\)To Determine: The probability that a customer will be seated at a round table or by the window
Solution
Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment
\(Probability=\frac{Number(outcome)}{Number(Possible-outcome)}\)\(\begin{gathered} P(round-table)=\frac{38}{60} \\ P(window)=\frac{13}{60} \\ P(round-window)=\frac{6}{60} \end{gathered}\)The probability that a customer will be seated at a round table or by the window would be
\(\begin{gathered} P(round-table,or,window)=P(round)+P(window)-P(round-window) \\ =\frac{38}{60}+\frac{13}{60}-\frac{6}{60} \\ =\frac{38+13-6}{60} \\ =\frac{51-6}{60} \\ =\frac{45}{60} \end{gathered}\)Hence, the probability that a customer will be seated at a round table or by the window is 45/60
Related Questions
the libarian tracked how many books she checked out on selected days in January and Feburary .She displayed her information in the two dot plots shown. Find the median, mode and range for both dot plots.
Answers
The median, mode and range for both dot plots are:
Median = 7.5 and 5Mode = 7 and 8 & 4 and 5Range = 3 and 7Finding the median, mode and range for both dot plots.The median
This is the middle value
From the dot plots, we have the middle values to be
Group A = (7 + 8)/2 = 7.5
Group B = 5
So, we have
Median Group A = 7.5
Median Group B = 5
The mode
This is the number of books with the highest dots
From the dot plots, we have the modal values to be
Mode Group A = 7 and 8
Mode Group B = 4 and 5
The range
This is the difference between the smallest and highest number of books with the highest dots
From the dot plots, we have the range to be
Group A = 9 - 6 = 3
Group B = 10 - 3 = 7
So, we have
Range Group A = 3
Range Group B = 7
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Solve each of the following equations and show how you checked your answers 2y+4y=6-3y
Answers
Answer:
y=2/3
Step-by-step explanation:
2y+4y=6-3y
⇔ 2y+4y+3y=6
⇔ 9y=6
⇔ y=6/9=2/3
The answer is:
y = 2/3
Work/explanation:
For now, I focus on the left side and combine the like terms:
\(\bf{2y+4y=6-3y}\)
\(\bf{6y=6-3y}\)
Add 3y to each side
\(\bf{6y+3y=6}\)
Combine like terms
\(\bf{9y=6}\)
Divide each side by 9
\(\bf{y=\dfrac{6}{9}}\)
\(\bf{y=\dfrac{2}{3}}\)
Hence, the answer is 2/3.
Write the equation of the line, in slope-intercept form, with the
following information:
Slope: -1/5
Point (10,2)
Answers
The linear equation of the line is slope =-1/5 and point is 10,2
How to determine the line equation?The slope is given as:
m = -1/5
The point is given as:
10,2
A linear equation in slope intercept form is represented as:
y = m + p
So, we have:
y is intercept
mx is slope
p is point
y = -1/5x - 10
Add 10 to both sides
y + 10 = -1/5x
Express -1/5x as -1/5(x)
y + 10 = -1/5(x)
Subtract 0 from x
y + 10 = -1/5(x - 0)
Hence, the linear equation of the line is y = -1/5x - 10 and y + 10 = -1/5(x - 0)
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please help me i don't know how to do this.
Answers
The domain of f * g is the set of all real numbers x such that x ≤ 6.
In interval notation, we can write:
Domain of f * g = (-∞, 6].
What is the domain of the function?
The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The domain of the function f(x) = √(6-x) is the set of all real numbers x such that 6-x ≥ 0, which is x ≤ 6.
The domain of the function g(x) = x² - x is the set of all real numbers x, since there are no restrictions on the input.
To find the domain of the function f * g, we need to consider the values of x for which the expression f(x) * g(x) is defined.
We have:
f(x)g(x) = √(6-x)(x² - x)
The expression is defined only if both factors are defined.
For the first factor, √(6-x) to be defined, we need 6-x ≥ 0. This means that x ≤ 6.
For the second factor, x² - x to be defined, there are no restrictions on the input.
Therefore, the domain of f * g is the set of all real numbers x such that x ≤ 6.
In interval notation, we can write:
Domain of f * g = (-∞, 6].
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for which set of probabilities would events a and b be independent?; which situation describes independent events?; find a โฉ b โฉ c. a) {2,3,5,6,7,11,12} b) {2,3,5,6,7,8,9,11,12} c) {3,7} d) {7}; what is the probability of an event that is certain; what is the probability of an event that is impossible; what is the sum of the probabilities of all values of the random variable; what is the sum of the probabilities of all possible outcomes; oatmeal cookie recipe healthy
Answers
Independent events are events whose occurrence does not depend on any other event. If the probability of the occurrence of an event A does not depend on the occurrence of an event B, then A and B are said to be independent events.
According to question, firstly we have answer that which of the given situation describes independent events.
The situation {3,7} describes that a and b are independent.
The probability of certain event .
Firstly, we will understand certain event means.
The event where the event is 100% certain, these events are called certain events.
The probability of certain event is 1 as this event is bound to happen.
The probability of impossible event.
An impossible event is an event that does not contain any possible outcomes (recall that possible outcomes are Ω elements).
An impossible event has zero probability.
The sum of the probabilities of all values of the random variable.
A random variable has a countable number of possible values where the probability of each value of the random variable is between 0 and 1, and the sum of all probabilities is equal to 1.
The total probability of all possible outcomes.
The sum of the probabilities of all possible outcomes of every event is always equal to 1.
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Find the value of the trig ratio?
Answers
Answer:
3/5
Step-by-step explanation:
To find the value of sinX we divide opposite side with hypotenuse
15/25 = 3/5
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
Answers
We have that theses Can affect the price if grape indirectly
Salaries WagesEnvironmentPeopleFrom the question we are told
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
Independent variablesGenerally Independent variables are variables that are not dependent on the price of grape fruits directly
Therefore
We have that
Salaries WagesEnvironmentPeople Can affect the price if grape indirectly
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Julie used 1-centimeter cubes to make the figure below.
= 1 cubic centimeter
What is the volume of the figure?
09 cubic centimeters
12 cubic centimeters
13 cubic centimeters
17 cubic centimeters
Answers
Answer:
12
Step-by-step explanation:
4 x 3
Mr. Williams is making wooden toy trucks for a craft show. He has 85 pieces of wood for the trucks
Each truck requires 6 pieces of wood.
Part A
How many toy trucks can Mr. Williams make? Enter your answer in the box.
00:00
Part B
How many pieces of wood will he have left? Enter your answer in the box.
Answers
Part A: He could make 14 toy trucks.
Divide 85 by 6.
85/6
14
(don't take any notice to the decimals)
Part B: He would have 1 piece of wood leftover.
6x14=84
Since Mr. Williams has 85 pieces of wood,
he would have 1 leftover.
Hope this helped!
Simplify (6z-4y+2x)+(3z-5x+2y)
Answers
Answer:
9z-2y-3x
Step-by-step explanation:
(6z-4y+2x)+(3z-5x+2y)
Combine like terms
6z+3z-4y+2y+2x-5x
9z-2y-3x
Answer:
-3x - 2y + 9z
Step-by-step explanation:
Since you are adding two polynomials, the parentheses are unnecessary, so you can just drop them. Then combine like terms. Like terms are terms that have the same variable part such as 6z and 3z.
(6z - 4y + 2x) + (3z - 5x + 2y) = Original problem.
= 6z - 4y + 2x + 3z - 5x + 2y Drop unnecessary parentheses.
= 2x - 5x - 4y + 2y + 6z + 3z Rearrange terms to group like terms.
= -3x - 2y + 9z Combine each set of like terms.
Answer: -3x - 2y + 9z
GEOMETRY find the angle of PRQ NO LINKS!!
Answers
Answer:
55
Step-by-step explanation:
Remark
This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )
The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).
What is the slope of the line that passes through the points (26,7) and )
(-39,12)?
Answers
Answer:
Station 4: EOC Slope | Algebra I Quiz - Quizizz. What is the slope of the line that passes through the points (26,7) and (-39,12)? The slope of the line that passes through the points (-6, w) and (-10,4) is 1/8 .
Step-by-step explanation:
Hope this helps
Help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Explanation:
Slope = rise/run
Rise = vertical
Run= horizontal
The slope is negative because it goes from right to left.
5/8 of the pie that was left.
There is of an apple pie left from dinner. Tomorrow, Victor plans to eat
7/8
Enter how much of the whole pie he will eat tomorrow.
of the pie that was left.
Answers
Answer:
he will eat 35/64 of the whole pie
Step-by-step explanation:
i hope i helped
Which expressions are equivalent to 6 to the fourth power?
4•6
6•216
36•36
6•6•6•6
6•64
Answers
Answer:
6x6x6x6
Step-by-step explanation:
Answer:
the 4th one
Step-by-step explanation:
6.6.6.6
Suppose you transform a square corn field by increasing one side by 2 units and decreasing the other side by 3 units. If the area of the resulting corn field equals 24, what was the length of the original corn field?
Answers
Answer:
8 and 3 are the length and the width
Step-by-step explanation:
3
Consider the following joint discrete probability mass function (pmf):
p(x,y) = 0.1 for (x, y) = (1, 1), (2, 1), (1, 2), and (2, 2)
p(x,y) = 0.2 for (x, y) = (0, 0)
p(x,y) = 0.4 for (x, y) = (3, 3)
a. Obtain conditional pmf of X when Y = 1.
b. Clearly showing all of your calculations, calculate the correlation coefficient for X and Y.
Answers
so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9
Step-by-step explanation:
a) We need to find the conditional p m f of X when Y = 1.
So, when Y = 1, there are only two X values: X =1 and X =2.
X can have any of the following values: 0, 1, 2, or 3
so P(0) = 0/ 0.2 = 0
P(1) = 0.1/(0.1+0.1) = 0.5
P(2) = 0.1/( 0.1+ 0.1) = 0.5
P(3) = 0/ 0.2 = 0
b) The correlation coefficient of X and Y isρXY
ρ^XY=(X,Y)=(X,Y)/σ^Xσ^Y=σ^XY/σ^Xσ^Y
We will calculate σ^X first by μ^x
f x(x) = 0.2; x = 0
= 0.2; x =1
= 0.2 ; x = 2
= 0.4 ; x = 3
μ^x = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8
σ^X^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36
σ^X = 1.166
We will calculate σ^y first by μ^y
f^ x (X) = 0.2; y = 0
= 0.2; y =1
= 0.2 ; y= 2
= 0.4 ; y = 3
μ^y = 0.2 * 0 + 0.2 * 1 + 0.2 * 2 + 0.4 * 3 = 1.8
σ^y^ 2 = 0.2 * 1.82 + 0.2 * 0.82 + 0.2 * 0.22 + 0.4 * 1.22 = 1.36
σ^y = 1.166
Now we will calculate σ^XY
σ^2^XY = 0.4 * ( 3 - 1.8)* ( 3-1.8) + 0.2 *( 0 -1.8) * ( 0 - 1.8) + 0.1 * ( 1- 1.8) * ( 1- 1.8) + 0.1 * ( 2 -1.8) * ( 1 -1.8) + 0.1 * ( 1 - 1.8) * ( 2 - 1.8) + 0.1 * ( 2 - 1.8) * ( 2 - 1.8) = 1.26
σ^XY = 1.225
so correlation coefficient = σ^XY/σ^Xσ^Y = 1.225 / 1.36 = 0.9
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As group size increases, which of the following typically occurs?
a. Complexity increases
b. Factions develop
c. The number of nonparticipating members increases
Answers
As group size increases, the complexity of the group increases (option A).
What is group size?
Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.
As group size increases, the complexity of managing and coordinating the group also increases.
The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.
This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.
Therefore, the correct option is A.
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Find the perimeter and the area of the polygon with the given vertices.
N (0,2), P (5,2), Q (5,5), R (0,5)
PLEASE ANSWER CORRECT NEED ASAP ANSWER
Answers
Answer:
Answer: I think its 15 but if you could give me answer choices it would be better
But The answer is 15.
Step-by-step explanation:
Step-by-step explanation:
Hello! Find Domain and range, thank you :-)
Answers
Range:[-infinity,3)
You may want to check your notation with this as I am rusty with interval notation but here are the answers.
Find the perimeter of the triangle whose vertices are (1,−8)
, (−3,0)
, and (−2,−7)
. Write the exact answer. Do not round.
Answers
Using the distance formula, we can find the lengths of the sides of the triangle:
Side 1: From (1, −8) to (−3, 0)
d = √[(−3 − 1)² + (0 − (−8))²]
d = √[16 + 64]
d = √80
Side 2: From (−3, 0) to (−2, −7)
d = √[(−2 − (−3))² + ((−7) − 0)²]
d = √[1 + 49]
d = √50
Side 3: From (−2, −7) to (1, −8)
d = √[(1 − (−2))² + ((−8) − (−7))²]
d = √[9 + 1]
d = √10
To find the perimeter, we add the lengths of the three sides:
Perimeter = √80 + √50 + √10
Therefore, the exact perimeter of the triangle is:
Perimeter = √80 + √50 + √10
point charges of 10.4 nc and 43.9 nc are placed 0.500 m apart. what is the electric field halfway between them? indicate direction by a positive or a negative value. keep in mind that a positive vector is one directed to the right and a negative vector is one directed to the left. your answer should be a positive or a negative number with two decimal places, do not include the unit. hint: 1 nc
Answers
The point charges placed 0.500 m apart are 10.4 nC and 43.9 nC. Then, the electric field halfway between these charges will be -4824 N/C.
The physical field that surrounds particles with an electrical charge is called an electric field. All other charged particles in the field are affected by it, either being attracted to it or being repelled by it.
The electric field because of a point charge q is written as \(E=\frac{kq}{r^2}\)
Positive point charges cause the electric field to point away from the point, whereas negative point charges cause the electric field to point in the direction of the point. Then, the electric field of the midpoint p in the diagram is written as,
\(\begin{aligned}E_p&=\mathrm{\frac{k(10.4\;nC)}{(0.25\;m)^2}-\frac{k(43.9\;nC)}{(0.25\;m)^2}}\\&=\mathrm{\frac{k(10.4-43.9)\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{\frac{9\times 10^9\;Nm^2/C^2\times 33.5\times10^{-9}\;C}{(0.25\;m)^2}}\\&=-\mathrm{4824\;N/C}\end{aligned}\)
The required answer is -4824 N/C.
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) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answers
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
Lol can someone help me
Answers
Answer:
I think the first one is 2.5, and the second box might be -2.5 ;v;
Determine the total number of roots of each polynomial function using the factored form.
f(x)=(x-6)^2(x+2)^2
Answers
The factor (x - 6)^2 has a root of 6 with a multiplicity of 2, which means that the graph of f(x) touches the x-axis at x = 6 but does not cross it. The factor (x + 2)^2 has a root of -2 with a multiplicity of 2, which means that the graph of f(x) touches the x-axis at x = -2 but does not cross it.
Since each factor has a multiplicity of 2, the graph of f(x) touches the x-axis at each root but does not cross it. Therefore, the total number of roots of the polynomial function f(x) = (x - 6)^2 (x + 2)^2 is 4.
Jen bought 40 bracelets and 40 necklaces for $3,040. Mark bought 80 bracelets and 40 necklaces for $3,760.
Use elimination to sole the system of linear equations and determine how much each bracelet cost, x and how much each necklace coast. (x,y)
Answers
Answer:
bracelet $18necklace $58Step-by-step explanation:
You are given that ...
40x +40y = 3040
80x +40y = 3760
Eliminate y by subtracting the first equation from the second:
(80x +40y) -(40x +40y) = (3760) -(3040)
40x = 720
x = 18
Using the first equation to find y, we have ...
40y = 3040 -40x
y = 76 -x . . . . . divide by 40
y = 76 -18 = 58
The cost of a bracelet is $18; the cost of a necklace is $58.
For a small charge, you arrange to have the hardware store deliver your purchase for you
You pay for your purchase, plus the sales tax, plus the delivery charge.
Answers
please help asap!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
X=29
Step-by-step explanation:
Sin62=x/33
X=29.137≈29
Help I will pay 50 for the answer
Answers
Answer:
1d 2a 3c 4d 5b 6b
Step-by-step explanation:
thats all i know
pp hiune i just need 4
Step-by-step explanation:
1. D
\( {x}^{2} + 6x - 16 = {x}^{2} - 2x + 8x - 16 \\ = x(x - 2) + 8(x - 2) \\ = (x - 2)(x + 8)\)
2. A
\(15 {x}^{2} + 20x = 5x(3x + 4)\)
3. C
\(2 {x}^{2} - 24x + 54 = 2 {x}^{2} - 6x - 18x + 54 \\ = 2x(x - 3) - 18(x - 3) \\ = (2x - 18)(x - 3) \\ = 2(x - 9)(x - 3)\)
4. D
\(4 {x}^{2} + 31x - 8 = 4 {x}^{2} - x + 32x - 8 \\ = x(4x - 1) + 8(4x - 1) \\ = (4x - 1)(x + 8)\)
5. B
\(6 {x}^{2} + 27x + 21 = 6 {x}^{2} + 6x + 21x + 21 \\ = 6x(x + 1) + 21(x + 1) \\ = (6x + 21)(x + 1) \\ = 3(2x + 7)(x + 1)\)
6. B
\(5 {p}^{2} - 5 = 5( {p}^{2} - 1) \\ = 5( p - 1)(p + 1)\)
7.D
8.A
Please help. Miguel had 2 bags containing number tiles as shown below. Without looking, Miguel selected one tile from each bag. What is the probability that Miguel selected two numbers less than 3?
Answers
The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.
The given tiles in bag-1 = {2, 4, 5, 8, 9}
Total number of tiles in bag-1 = 5
The number of tiles less than number 3 in the bag - 1 = 1
The probability of Miguel selecting a tile number less than 3 =
number of tiles less than 3 / total number of tiles = 1/3
The given tiles in bag-2 = {0, 1, 3, 6, 7}
Total number of tiles in bag-2 = 5
The number of tiles less than number 3 in the bag-2 = 2
The probability of Miguel selecting a tile number less than 3 =
number of tiles less than 3 / total number of tiles = 2/3
From the above analysis, we solved the problem.
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