At a restaurant, a children's meal gives a choice of four entrées: burger (B), chicken (C), pizza (P), or spaghetti (S), and two sides: apple (A) or fried (F).
Which sample space represents all the ways a child could choose one entree and one side for their meal?
Answers
The sample space represents all the possible outcomes of an experiment. In this case, the experiment is the selection of a children's meal at a restaurant, which involves choosing one entrée and one side.
To find the sample space for this experiment, we need to list all the possible combinations of entrées and sides.
To find all the possible combinations, we can use the multiplication principle, which states that the total number of outcomes is equal to the product of the number of options for each choice.
So, there are 4 options for the entrée and 2 options for the side. Therefore, the total number of possible combinations is 4 x 2 = 8. These 8 possible combinations are the sample space, which can be represented as:
{BB, BF, CB, CF, PB, PF, SB, SF}
Each of these combinations represents a unique option for a child's meal.
For example, BB represents the combination of a burger entree and an apple side, while CF represents the combination of a chicken entrée and a fried side.
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Related Questions
Please this is my third time asking this question please answer it
I really need it now
Answers
1,3,5,7 = 126°
2,4,6,8 = 54°
Here your go m'dear
Given, ∠3 = 126°.
∠3 =∠1 = 126° (vertically opp. angles)
∠3 =∠5 = 126° (alternate interior angles)
∠3 =∠7 = 126° (corresponding angles)
Now, ∠2 = 180° - 126° = 54° (linear pair/supplementary angles)
∠2 = ∠4 = 54° (vertically opp. angles)
∠2 = ∠8 = 54° (alternate interior angles)
∠8 = ∠6 = 54° (vertically opp. angles)
_________
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Which equation is a linear equation?
y=2x2+3
y=2/x+3
y=2x+3
y=2x+3
Answers
All 150 students in Grade 8 at a school are assigned to write an essay on the same topic. A teacher records the number of words in a random sample of essays, as shown in the table above. Based on this sample, how many students in the entire grade would be expected to write essays with at least 100 words?
Answers
The number of students in the entire grade would be expected to write essays with at least 100 words is 120 students.
We are given that;
Students= 150
Grade= 8
Now,
We can use the sample data to estimate the proportion of students who write essays with at least 100 words. Out of the 20 essays in the sample, 16 have at least 100 words. Therefore, we can estimate that the proportion of students who write essays with at least 100 words is:
p^=16/20=0.8
To estimate the number of students in the entire grade who would be expected to write essays with at least 100 words, we can multiply this proportion by the total number of students:
0.8*150=120
Therefore, by proportion the answer will be 120 students.
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12,000+800-200= i need help
Answers
a.)12 000.+ b.) 12 800
800. 200
------------- -------------
12 800 12 600
-------------- ------------
Ans 12600
when the number 25 is added to a list of numbers with total sum , the average of all the numbers increase by one. what is the sum of the digits of the greatest possible value of ?
Answers
The number of digits that are there is 25 digits.
Let the sum of the numbers be x.
Also, let the number of digits there be y
So, we get that:
Average of numbers originally = x / y
Now,
(x + 25) / y = x / y + 1
(x + 25) / y = (x + y) / y
x + 25 = x + y
y = 25
Therefore, we get that, the number of digits that are there is 25 digits.
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Discussion: Descriptive Statistics
Graded Discussion
Discussion Topic
People use data and statistics to help them make important policy decisions, to identify problems in an organization, and to predict outcomes. In this
unit, you studied various ways to analyze and represent data sets to determine how to best interpret the data. You also learned how to critically examine
the data and account for outside factors that may influence the patterns you see in the data.
Think about the many statistical scores or rankings you receive in school, such as GPA, SAT and ACT scores, test scores, and class ranking. Describe
the usefulness and limitations of these pieces of data in defining who you are as a person or as a student. In what ways do they help give a clear
picture? What are they not conveying?
Answers
The importance of descriptive statistics is that it provides basic information about the variables in a dataset.
What is a descriptive statistics?A descriptive statistics simply means a description of the data set that are in a population.
Here, the importance of descriptive statistics is that it provides basic information about the variables in a dataset.
The limitation of descriptive statistics is that it only allows one to make summations about the objects measured.
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A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.
Which system of equations can be used to find the price in dollars of each large candle, x , and each small candle, y ?
Answers
Step-by-step explanation:
Plug in x where you see large candle and y for small candle
64= 3x + 4y
64+4= x+ 8y
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
Answers
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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3. Given a nonempty polyhedron P={(x,y)∈Rn×Rk:Ax+By≥b}, let Q denote its projection onto x-space, i.e., Q={x∈Rn:∃y∈Rk,Ax+By≥b}. Prove or disprove the following statements by counterexamples: 1) Suppose that (x^,y^) is an extreme point of P. Is x^ an extreme point of Q ? 2) Suppose that x^ is an extreme point of Q. Does there exist a y^ such that (x^,y^) is an extreme point of P ? 3) Suppose that x^ is an extreme point of Q and P does not contain a line. Does there exist a y^ such that (x^,y^) is an extreme point of P ?
Answers
P does not contain a line, it means that for any x in R^n, there exists a unique y in R^k such that Ax + By ≥ b. Therefore, x^ is uniquely determined by y^, and (x^, y^) is an extreme point of P.
1) The statement is true. Suppose (x^,y^) is an extreme point of P. To show that x^ is an extreme point of Q, we need to prove that for any two distinct points x_1, x_2 in Q, the line segment connecting x_1 and x_2 lies entirely in Q. Since Q is the projection of P onto x-space, it means that for any x in Q, there exists y in R^k such that Ax + By ≥ b.
Now, let's assume x_1 and x_2 are two distinct points in Q. Since they belong to Q, there exist corresponding y_1 and y_2 in R^k such that Ax_1 + By_1 ≥ b and Ax_2 + By_2 ≥ b. Since P is a polyhedron, the set of points that satisfy Ax + By ≥ b is a convex set. Therefore, the line segment connecting x_1 and x_2, denoted by [x_1, x_2], lies entirely in P. Since the projection of a convex set onto a subspace is also a convex set, [x_1, x_2] lies entirely in Q. Thus, x^ is an extreme point of Q.
2) The statement is false. Suppose x^ is an extreme point of Q. It does not necessarily imply the existence of a corresponding y^ such that (x^, y^) is an extreme point of P. This is because the projection Q onto x-space may not capture all the extreme points of P. It is possible for multiple points in P to project to the same point in Q, making it impossible to uniquely determine y^.
3) The statement is true. If x^ is an extreme point of Q and P does not contain a line, then there exists a corresponding y^ such that (x^, y^) is an extreme point of P. Since P does not contain a line, it means that for any x in R^n, there exists a unique y in R^k such that Ax + By ≥ b. Therefore, x^ is uniquely determined by y^, and (x^, y^) is an extreme point of P.
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the length of a rectangle is 5 more than twice its width. its perimeter is 70 cm. what is its area? show your solution
Answers
Answer:
\(250cm^2\)
Step-by-step explanation:
length = 5 + 2w
width = w
P = Sum of all sides
P = 2 * (5 + 2w) + 2w
P = 10 + 4w + 2w
P = 6w + 10
Given Perimeter = 70cm
We substitute
6w + 10 = 70
6w = 70 - 10
6w = 60
w = 60/6
w = 10cm
Since length is 5 + 2w
length = 5 + (2 * 10)
length = 25cm
Area = lw
Area = 25 * 10
Area = \(250cm^2\)
Answer:
let
b=x then'
l= 2x+5
Now
p=70
2(l+b)=70
2(x+2x+5)=70
6x+10=70
6x=60
x=6
b=x=10
l=2x+5=25
area of rectangle = l*b
25*10
=250 answer
Point T is on line segment S U ‾ SU . Given S T = 2 ST=2 and T U = 15 , TU=15, determine the length S U ‾ . SU .
Answers
Answer:
17
Step-by-step explanation:
If Point T is on the line segment S U, then ST + TU = SU
Given;
ST=2
TU = 15
Substitte
SU = ST + TU
SU = 2 + 15
SU = 17
Hence the length of SU is 17
Which inequality represents the graph
Answers
Answer:
z≥-10
Step-by-step explanation
it just is, trust.
how much times can 18 inches go in to 5yards
Answers
Answer:
5 yards=5*3=15 ft
15ft=12*15=180 inches
180/18=10
10 times
item 13 lito company had cash inflows from operating activities of $27,000; cash outflows from investing activities of $22,000, and cash outflows from financing activities of $12,000. calculate the net increase or decrease in cash.
Answers
Based on the cash inflows from operating activities and the cash outflows from financing and investing, the net decrease in cash is -$7,000
How to find the net increase or decrease in cash?The net increase in cash is possible if the cash outflows are less than the cash inflows to the company. There will be a net decrease in cash if the cash outflows are more than the cash inflows.
The cash increase (decrease) here is:
= cash inflows from operating activities - outflows from investing activities - cash outflows from financing activities
= 27,000 - 22,000 - 12,000
= 27,000 - 34,000
= -$7,000
In conclusion, there is a net decrease in cash of -$7,000.
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Select the correct answer.
Use linear approximation to estimate the value of f(1.8) for the function `f(x) = (1)/(x + 1)`.
A.
0.3111
B.
0.3556
C.
0.3571
D.
0.7
Answers
Answer:
the correct answer is d.
Step-by-step explanation:
Please help me solve this im very confused
Answers
Answer:
x = 7.5
Step-by-step explanation:
imagine the 5 and x highlighted green
and the 6 and 9 highlighted blue
green goes on top blue goes on bottom
\(\frac{5}{6}\) = \(\frac{x}{9}\) now cross multiply
45 = 6x
x = 7.5
you can check your answer by putting 7.5/5 and 9/6 and you get the answer 1.5 for both
hope this helps
the nth term of a sequence is 3n2-1
the nth term of a different sequence is 30-n2
find the only number in both sequences
Answers
Answer: The common number is 26.
Step-by-step explanation:
We know that the n-th term of a sequence is:
aₙ = 3*n^2 - 1
And the n-th term of another sequence is:
bₙ = 30 - n^2
Remember that in a sequence n is always an integer number.
We want to find a number that belongs to both sequences, then we want to find a pair of integers x and n, such that:
aₙ = bₓ
This is:
3*n^2 - 1 = 30 - x^2
Let's isolate one of the variables, i will isolate n.
3*n^2 = 30 - x^2 + 1 = 31 - x^2
n^2 = (31 - x^2)/3
n = √( (31 - x^2)/3)
Now we can try with different integer values of x, and see if n is also an integer.
if x = 1
n = √( (31 - 1^2)/3) = √10
We know that √10 is not an integer, so we need to try with another value of x.
if x = 2:
n = √( (31 - x^2)/3) = √(27/3) = √9 = 3
Then if we have x= 2, n is also an integer, n = 3.
Then we have:
a₃ = b₂
The common number between both sequences is:
a₃ = 3*(3)^2 - 1 = 26
b₂ = 30 - 2^2 = 26
let f(x) = 3x-2x^2 for 0
Answers
The solution is of the function 3f(x) +2g(x) is:
=> -5x-2
Now, According to the question:
Algebra of functions:
Algebra of functions means the operations of the functions, specifically the arithmetic operations. Algebra of functions mainly deals with the following four arithmetic operations of functions:
Addition of functionsSubtraction of functionsMultiplication of functionsDivision of functionsThe function given as:
f(x) = -3x, g(x) = 2x-1 are the two functions
then by the algebra of two functions(adding two functions) we can find the value of 3f(x) + 2g(x)
Now find
3f(x) = 3(-3x) = -9x -----------(i)
2g(x) = 2(2x-1)
= 2(2x)-2(1)
2g(x) = 4x-2 ----------(ii)
Now, add the above two equation (i) and (ii)
3f(x) + 2g(x) = -9x + 4x - 2
= -5x-2
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The given question is incomplete, complete question is:
Let f(x) = -3x and g(x) = 2x-1
Find the following: 3f(x) +2g(x)
0 6x +4
0 -5x - 2
O There is no correct answer given.
O 8x -8
O 5x+1
State whether each expression is meaningful. If, not explain why. If so, explain whether the result is a vector or a scalar.
a. a
⋅
(
b
×
c
)
b. a
×
(
b
⋅
c
)
c. a
×
(
b
×
c
)
d. a
⋅
(
b
⋅
c
)
e. (
a
⋅
b
)
×
(
c
⋅
d
)
f. (
a
×
b
)
⋅
(
c
×
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Answers
The expression as given does not have a meaningful interpretation.
The expression "(a•b) x (c•d)" is not meaningful because the dot product "•" operation is defined for vectors, whereas the cross product "x" operation is defined between two vectors. The dot product of "a" and "b" would result in a scalar value, as would the dot product of "c" and "d". However, taking the cross product of scalar values is not a valid mathematical operation. The cross product is only defined between two vectors and results in a new vector that is perpendicular to both input vectors. Therefore, the given expression lacks a meaningful interpretation due to the incompatible combination of dot product and cross product operations.
Therefore, the expression as given does not have a meaningful interpretation.
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Given question is incomplete, the complete question is below
State whether the expression is meaningful. If not, explain why. If so, state whether it is a vector or scalar.
(a•b) x (c•d)
Which one is the right one?
Answers
Answer: b
i did it in my head and it will be too hard to tell you guys sorry
100 pounds of chocolate is packaged into boxes each containing 1^1/4 pounds of chocolate. Each box is then sold for $1.75. What is the total selling price for all of the boxes of chocolate?
Answers
Answer:
$140
Step-by-step explanation:
Total Amount of chocolate = 100 Pounds
Amount of chocolate in one box = 1 1/4 Pounds = 5/4 Pounds
Number of boxes = 100/(5/4) = 80 boxes
Cost of one box = $1.75
Total selling price = 80×1.75 = 140
The total selling price for all the boxes of chocolate is $140
Answer: $140
Step-by-step explanation:
Convert
1 1/4 --> 1.25
Solve
100/1.25= 80
80*1.75= $140
what is the product 7/3×5/12
Answers
7/3 × 5/12 = 35/36
....................................
Answer:
♕ \( \large{ \tt{EXPLANATION}} : \)
☄ Here are the answers of some question which should be known before solving the given problem :
❊ How do you multiply one fraction by another ?
⤑ To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term if needed.
✎ \( \large{ \tt{SOLUTION}} : \)
\( \large{ ❃\bf{ \: \frac{7}{3} \times \frac{5}{12}}} \)
\( \large{ \bf{↬ \frac{7 \times 5}{3 \times 12}}} \)
\( \large{ \bf{ \boxed{↬ \frac{35}{36}}}} \)
\( \boxed{ \boxed { \large{ \tt{ ↭ OUR \: FINAL \: ANSWER: \boxed{ \underline{ \underline{\tt{ \frac{35}{36}}}}}}} }}\)
♨ You have to go through so many restless nights , Just to get bright future! ♪
ツ Hope I helped! ♡
☼ Have a wonderful day / evening! ☃
# StayInAndExplore ☂
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Joey sells mangoes. Jimmy sells oranges. For every 16 mangoes Joey sells, Jimmy sells 6 oranges. How many mangoes were sold at the end of the week if Jimmy sold 144 oranges?
Answers
The answer is 384 mangoes I hope it is helpful.
x equals 4y minus 2 help
Answers
situation: the amount of water that is used for irrigation at a pistachio orchard is inversely proportional to the amount of rainfall. if they use 30,000 gallons during a month in which there is 5 inches of rain, how much water will be used in a month that has 3 inches of rain? question: what does the general variation equation look like? group of answer choices
Answers
In a month with 3 inches of rain, 50,000 gallons of water will be used for irrigation at the pistachio orchard.
The general variation equation for an inverse variation relationship is:
y = k/x
In this equation, y represents the dependent variable (amount of water used for irrigation), x represents the independent variable (amount of rainfall), and k is the constant of variation.
In the given scenario, the amount of water used (y) is inversely proportional to the amount of rainfall (x). We are given that they use 30,000 gallons of water when there are 5 inches of rain. Plugging these values into the general variation equation, we get:
30,000 = k/5
To find the value of k, we can solve for it by multiplying both sides of the equation by 5:
k = 30,000 * 5 = 150,000
Now that we know the value of k, we can use the general variation equation to find the amount of water used in a month with 3 inches of rain:
y = 150,000/3
Simplifying this, we find:
y = 50,000
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A population has a current size of 150. If λ is 1. 2, what will the expected population size be after two generations?.
Answers
The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.
Nt = N₀ × λ^t
Nt = Population size at generation t
N₀ = Current population size
t = Number of generations
λ = Finite rate of increase
λ = 1.2
N₀ = 150
Nt = 150 × 1.2²
Nt = 150 × 1.44
Nt = 216
Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.
Therefore, the expected population size be after two generations is 216
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A new car is purchased for
164,000 dollars. The value
of the car depreciates at
8, 25% per year what will
cro the value of the car be,
to the nearest cent, after
10 years?
Answers
Answer:
6932.73
Step-by-step explanation:
is the relashionship between the number of slices of salami in a sandwhich and the number of calories proportional? why?
Answers
Answer:
The number of slices of salami and the number of calories are not proportional. Step-by-step explanation: we know that. A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or . In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Step-by-step explanation:
3. This aquarium contains 1250 milliliters of water. How much more water is needed to fill the aquarium completely? Give your answer in liters.
Both the length, width, and height of the aquarium are 15 centimeters.
Answers
Answer: 2.215 Liters
Step-by-step explanation:
please help :) Studies involving humans or animals are conducted under strict policies and procedures. This solution addresses which limitation? A) size of the system B) ethical concerns C) lack of proper equipment D) limited amount of time
Answers
Answer:
B
Step-by-step explanation:
Ethical concerns!
Good luck on your assignment hope this helps!:)