Answer:
\(\frac{25}{144}\) ft
Step-by-step explanation:
We can find the area by multiplying 2 sides together
Multiply \(\frac{5}{12}\) × \(\frac{5}{12}\) to find the area
\(\frac{5}{12}\) × \(\frac{5}{12}\) = \(\frac{25}{144}\)
The area of the coaster would be \(\frac{25}{144}\) ft
Write two relational algebra expressions to find the name of and the amount of calories in olivia's favorite breakfast food and the name of the company that makes that food. the two relational algebra expressions should be different, but should be guaranteed to give the same result.
Olivia's favorite breakfast food is "Cereal" and it has 200 calories.
What is the name of Olivia's favorite breakfast food, and how many calories does it have?Here are two different relational algebra expressions that will give you the same result:
Expression 1:
SELECT F.Name, F.Calories, C.CompanyName
FROM Food F, Company C
WHERE F.FoodID = C.FoodID
AND F.Name IN (
SELECT Name
FROM FavoriteBreakfast
WHERE Person = 'Olivia'
)
The subquery SELECT Name FROM FavoriteBreakfast WHERE Person = 'Olivia' retrieves the name of Olivia's favorite breakfast food.
The main query performs an inner join between the tables "Food" and "Company" using the common attribute "FoodID" to retrieve the relevant information.
The WHERE clause filters the result to only include rows where the food name matches Olivia's favorite breakfast food.
The SELECT clause selects the name of the food, the amount of calories, and the name of the company.
Expression 2:
SELECT F.Name, F.Calories, C.CompanyName
FROM Food F
JOIN Company C ON F.FoodID = C.FoodID
WHERE EXISTS (
SELECT 1
FROM FavoriteBreakfast FB
WHERE FB.Person = 'Olivia'
AND FB.Name = F.Name
)
The subquery SELECT 1 FROM FavoriteBreakfast FB WHERE FB.Person = 'Olivia' AND FB.Name = F.Name checks if there is a matching row in the "FavoriteBreakfast" table where the person is Olivia and the food name matches.
The main query performs an inner join between the tables "Food" and "Company" using the common attribute "FoodID" to retrieve the relevant information.
The WHERE clause ensures that only rows where a matching row exists in the subquery are included.
The SELECT clause selects the name of the food, the amount of calories, and the name of the company.
Both expressions will give you the same result, which includes the name of Olivia's favorite breakfast food, the amount of calories in that food, and the name of the company that makes that food.
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A study of freely forming groups in bars throughout Europe examined the number of individuals found in groups who were laughing together. Let X be the number of individuals in laughing groups. Here is the probability distribution for X:
Number of individuals X 2 3 4 5 6
Probability 0. 51 0. 34 0. 10 0. 04 0. 01
(a) Find P(3
(b) Find the mean μ of X.
(c) Find the standard deviation σ of X
(a) To find P(3), we look at the probability distribution table and find the probability associated with X = 3. From the given information, P(X = 3) = 0.34.
(b) To find the mean μ of X, we multiply each value of X by its corresponding probability and sum the results.
μ = (2 * 0.51) + (3 * 0.34) + (4 * 0.10) + (5 * 0.04) + (6 * 0.01)
= 1.02 + 1.02 + 0.40 + 0.20 + 0.06
= 2.70
Therefore, the mean μ of X is 2.70.
(c) To find the standard deviation σ of X, we first calculate the variance. The variance is the sum of the squared differences between each value of X and the mean, weighted by their respective probabilities.
Var(X) = [(2 - 2.70)^2 * 0.51] + [(3 - 2.70)^2 * 0.34] + [(4 - 2.70)^2 * 0.10] + [(5 - 2.70)^2 * 0.04] + [(6 - 2.70)^2 * 0.01]
= 0.1764 + 0.0289 + 0.0324 + 0.0276 + 0.0144
= 0.2797
The standard deviation σ of X is the square root of the variance.
σ = √Var(X) = √0.2797 ≈ 0.5288
Therefore, the standard deviation σ of X is approximately 0.5288.
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which error does the following represent? a candidate is interviewing for a customer service representative job. the responsibilities will be responding to and logging calls in a timely and professional manner. the company asks the candidate to perform a detailed analysis on call-in data.
The error represented in this scenario is an inappropriate task allocation or a mismatch between job responsibilities and the assigned task during the interview process.
The primary role of a customer service representative is to interact with customers, address their concerns, and log calls professionally and efficiently. In contrast, performing a detailed analysis of call-in data falls under the domain of data analysis or business intelligence roles.
By asking the candidate to perform a task unrelated to their potential job responsibilities, the company may not accurately assess the candidate's aptitude for customer service tasks. This error could lead to selecting a candidate who may excel in data analysis but may not possess the necessary communication and problem-solving skills required for a customer service representative position.
To avoid this error, the company should focus on evaluating candidates based on their skills, experience, and performance in tasks directly relevant to the customer service role.
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PLEASE HELP ME ASAP
Answer:
A=126
B=54
C=126
D=54
E=126
F=54
G=126
Step-by-step explanation:
Find the number of possible outcomes. A jewelry store sells gold and
platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or
diamond gemstone. *
Answer:
The number of possible outcomes are 8.
Step-by-step explanation:
Given that,
A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.
We need to calculate the number of possible outcomes
Using given data,
Outcomes = (gold, ruby), (gold,sapphire), (gold,emerald), (gold,diamond),(platinum, ruby), (platinum,sapphire), (platinum,emerald), (platinum,diamond)
So, Outcomes = 8
Hence, The number of possible outcomes are 8.
There are 8 number of possible outcomes
Calculation of possible outcomes
Given : Jewellery store has two criterion for classification (having two & four categories respectively) -
Material - Gold , PlatinumGemstone - Ruby, Sapphire, Emerald, DiamondSo, total outcomes = product of number of categories in each criteria
= 4 x 2 = 8 outcomes
Following are 8 outcomes
Gold Ruby Gold Sapphire Gold Emerald Gold DiamondPlatinum Ruby Platinum Sapphire Platinum Emerald Platinum DiamondTo learn more about Probable Outcomes, refer https://brainly.com/question/26657959?referrer=searchResults
A tightrope walker is moving along a tightrope at 3 ft/sec at an altitude of 100 feet. The walker is tracked by a searchlight on the ground. Find the change in the angle of elevation of the searchlight when the walker is 200 feet horizontally from the light and walking away from the light
Answer:
The change in the angle of elevation is approximately 63.435°
Step-by-step explanation:
The given parameters are;
The speed of the tightrope walker = 3 ft./sec
The altitude at which the tightrope walker is moving = 100 ft.
The horizontal distance of the tightrope walker from the searchlight = 200 feet
The final angle of elevation, θ, is given by the trigonometric ratio as follows;
\(tan\angle \theta = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = \dfrac{Elevation \ of \, the \ tightrope}{Horizontal \ distance \ to \ the \ tight rope \ walker}\)
\(tan\angle \theta = \dfrac{Elevation \ of \, the \ tightrope}{Horizontal \ distance \ to \ the \ tight rope \ walker} = \dfrac{100}{200} = \dfrac{1}{2}\)
\(\theta = tan^{-1} \left (\dfrac{1}{2} \right ) \approx 26.565 ^ {\circ}\)
Whereby the tightrope walker was initially vertically overhead the search light, the initial angle of elevation = 90°
The change in the angle of elevation = The initial angle of elevation - The final angle of elevation
Substituting the values gives
The change in the angle of elevation = 90° - 26.565 ≈ 63.435°
Change in the angle of elevation = 63.4°
The original position of the tightrope Walker is vertical
That is, the initial angle of elevation, θ = 90 degrees
Horizontal distance of the Walker = 200 feet
The altitude of the Walker = 100 feet
The final angle of elevation of the tightrope Walker is calculated as follows
\(tan \theta \: = \frac{opposite}{adjacent} \)
\(tan \: \theta \: = \frac{100}{200} \)
\(tan \: \theta \: = 0.5\)
\(\theta \: = {tan}^{ - 1} 0.5\)
\(\theta = {26.6}^{0} \)
Change in the angle of elevation = Final angle of elevation - Initial angle of elevation
Change in the angle of elevation = 90 - 26.6
Change in the angle of elevation = 63.4°
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A puppy weighs
10 pounds and is
gaining 1 pound
each week.
The magician' hoped to
the audience.
Which of these words would indicate that the
magician wanted to confuse the audience?
F amuse
€ mystify
H astonish
J distress
Answer:
c mystify
Step-by-step explanation:
mystify means
utterly bewilder or perplex (someone).
"maladies that have mystified and alarmed researchers for over a decade"
Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!
Answer:
1. AD
2. 5.2 cm
3. x = 4
4. BC
5. 3
6. x = 12
Step-by-step explanation:
The difference of half of a number and three is equivalent to negative five? Also im doing some maze thingy, so the answer has to equal x=4, so can someone try and solve this with the answer as 4 please, l really need help.
Answer:
-4
Step-by-step explanation:
Try writing the question in variable form using x as "a number"
\(\frac{1}{2} x - 3 = -5\)
add 5 to the right side of the equal sign and then do the same thing to the left of the equal sign (do the opposite of the number to both sides)
\(\frac{1}{2} x +2 = 0\)
now we kind of do the same process but with the number 2. Subtract two from the left and right side
\(\frac{1}{2}x = -2\)
now since this equation is saying "multiply one half by x" we can do the OPPOSITE so now divide one half from both sides
\(x= \frac{-2}{.5}\)
NOTICE THAT I CONVERTED 1/2 to .5 they mean the same thing
so now just divide -2 by .5
the answer is -4
rotate the triangle through 180 about the origin
I don't exactly know what you're asking but if you need help with rotating a shape 180 degrees here is the little "formula":
(x, y) -> (-x, -y)
graph the line slope 1/4 and 4 y-intersept
Answer:
Step-by-step explanation:
y = mx + b
"m" is slope
"b" is y-intercept
y = \(\frac{1}{4}\) x + 4
Five boxes of crackers cost 9 at this rate how much do 20 boxes cost
Answer:
36
Step-by-step explanation:
Unit price: 9 / 5 = 1.8
20 box price: 1.8 * 20 = 36
what number is in the hunderdths place in 36.57
Answer:
7
Step-by-step explanation:
Answer:
The number in the hundredths place is 7.
Step-by-step explanation:
Counted the decimal places ^
Given the system of equations below. Use the Inverse of the matrix method to solve. x+2y+3z=11
2x+4y+5z=21
3x+5y+6z=27
The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.
The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.
Here, we will solve this system of equations using inverse of the matrix method as follows:
We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].
The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33] where,
d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,
d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,
d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,
d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,
d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,
d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,
d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,
d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,
d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.
We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]
Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]
Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.
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a)work out 7/9 x 5 2/5 b)1 3/4 x 4 1/6
a. 4 1/5
b. 7 7/24
Please see the attached picture for full solution
hope it helps
Good luck on your assignment
Answer the following questions: What was the surface area and volume of the prism? Do you think you could use the same formula to find the surface area and volume of other prisms? Why or Why not?
Answer:
The formula for solving surface area is LxWxH (LengthxWidthxHeight)
And the formula for solving area is LxW (LenghtxWidth)
Step-by-step explanation:
I hope this helps. I didnt really see any pictures for this.
Answer: 1. 60 square centimeters and the volume was 24 cm3
2. Yes, because if you have length, width and height, that's really all the information you need to find out the area, volume, perimeter, surface area, ect!
Step-by-step explanation: Hope this helps! :)
(I had the same question btw)
Simplify 3x+2x
BRAINLIEST
Answer:
5x
Step-by-step explanation:
3x+2x
Combine like terms
x(3+2)
x(5)
5x
Answer:
5x
Step-by-step explanation:
3x + 2x
Step 1 :- Calculate like terms by adding their coefficient.
( 2 + 3 ) xStep 2 :- Combine like terms.
( 5 ) xStep 3 :- Multiply ; 5 times x.
5xassuming boys and girls are equally likely, find the probability of a couple having a baby when their child is born, given that the first children were .
The probability of a couple having a baby girl when their third child is born, given that the first two children were both girls, is 0.5 or 50%.
The question asks for the probability of a couple having a baby girl as their third child, given that the first two children were both girls.
To find the probability, we need to consider that boys and girls are equally likely to be born.
Since the first two children were both girls, we can ignore their genders and focus only on the third child.
So, the possible outcomes for the third child are either a boy or a girl.
Since boys and girls are equally likely, the probability of having a baby girl as their third child is 1/2 or 0.5.
Therefore, the probability of a couple having a baby girl when their third child is born, given that the first two children were both girls, is 0.5 or 50%.
Complete question: Assuming boys and girls are equally likely, find the probability of a couple having a baby girl when their third child is born, given that the first two children were both girls.
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ple help me pls help me
Answer:
64.25
Step-by-step explanation:
Subtract 145.25 from 209.5, resulting in 64.25.
If a couple plans to have 11 children, how many gender sequences are there?
Believing a child may only be either a boy or a girl, B or G. There are only two potential genders as a result. They have 2048 possible gender sequences.
There are two conceivable gender sequences for an 11-child family. A family intends to give birth to 11xf. assuming a child can only be a boy or girl, B or G. There are only two potential genders as a result.
There are two possible genders for each child, and they can all be either male or female. As a result, there are \(2^n\) possible gender sequences.
Here, n=11,
So,
\(2^n=2048\) possible gender sequences.
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5. The monthly membership fee at a gym
increased by 10% this year. Last year,
the cost of a monthly membership was
$28.50. What is the total yearly cost for a
membership at the gym this year?
A $307.80
C $334.20
B $319.20
D $376.20
Answer:
D $376.20
Step-by-step explanation:
The monthly membership fee at a gym increased by 10% this year. Last year, the cost of a monthly membership was $28.50. What is the total yearly cost for a membership at the gym this year?
A $307.80
C $334.20
B $319.20
D $376.20
28.50 × 1.10 = $31.35 per month this year
there are 12 months per year so:
$31.35 × 12 = $376.20
Stephanie is 20 years old and has a base annual premium of 930 and a rating factor of 1. 30. What is her total premium?
Answers:
A) $1,209
B) $100. 75
C) $604. 50
D) $1,032. 65
Answer:
A) $1,209
Step-by-step explanation:
To calculate Stephanie's total premium, we need to multiply her base annual premium by the rating factor.
Base annual premium: $930
Rating factor: 1.30
Total premium = Base annual premium * Rating factor
Total premium = $930 * 1.30
Total premium = $1,209
Therefore, Stephanie's total premium is $1,209.
Analysis of Variance assumes that Multiple select question. population variances are equal. sample sizes are equal. the response variable Y is categorical. populations are normally distributed.
Population variances are equal, sample sizes are equal, and populations are normally distributed.
The Multiple Select Question "Analysis of Variance assumes that" are:
population variances are equal
sample sizes are equal
populations are normally distributed
Explanation:
Analysis of Variance (ANOVA) is a statistical method used to test the equality of means between two or more groups.
To perform ANOVA, certain assumptions need to be met:
The populations from which the samples are drawn have equal variances (homoscedasticity)
The sample sizes are equal (or approximately equal) across all groups
The populations are normally distributed
The observations within each group are independent and identically distributed (IID)
The response variable in ANOVA is continuous, not categorical.
ANOVA is used to compare means between two or more groups, so the response variable needs to be a continuous variable that can be measured and compared across the groups.
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Jocelyn has a points card for a movie theater.
She receives 25 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
She needs at least 170 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the
number of visits Jocelyn can make to earn her first free movie ticket.
Answer:
12 visits.
Step-by-step explanation:
Jocelyn receives a flat 25 reward point, and 12.5 points for each visit. She wants to redeem a free movie ticket that costs 170 points.
Set the equation. Let "each visit" be denoted by the variable, x:
12.5 per visit + a flat 25 reward point ≥ Free movie ticket that costs 170 points.
12.5x + 25 ≥ 170
Isolate the variable, x. Note that what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 25 from both sides of the equation:
12.5x + 25 ≥ 170
12.5x + 25 (-25) ≥ 170 (-25)
12.5x ≥ 170 - 25
12.5x ≥ 145
Next, divide 12.5 from both sides of the equation:
(12.5x)/12.5 ≥ (145)/12.5
x ≥ 145/12.5
x ≥ 11.6
x ≥ 11.6 is your answer. Therefore, Jocelyn would have to make 12 trips to earn her first free movie ticket.
~
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Dwayne buys a new smartphone for $719.76. He agrees to pay for it monthly, with 24 equal payments.
How much does he pay each month for the smartphone?
Answer:
$29.99
Step-by-step explanation:
24 equal payments represent 24 months (as it is paid monthly), therefore, you divide by 24 to get only 1 month of the payment
719.76/24
=29.99
10. Enter the value of p so that the expression 8(n + 2) is equivalent to (n + p)8
Answer:
p=2
Step-by-step explanation:
8n + 16 = 8n + 8p
subtract 8n
16=8p
divide both sides by 8
p = 2
To find the value of p that sets the expression equal to each other:
⇒ must set both equations equal to each other, like such:
\(8(n+2)=(n+p)8\\8n+16=8n+8p\\8n+16-8n=8p\\16=8p\\8p=16\\p=2\)
Thus the value of p so that the expression 8(n + 2) is equivalent to (n + p)8 is 2
Answer: 2
Hope that helps!
Function f is a linear function and function g is defined by g(x) = f(x) + k. If the value of k is 7, how does the graph of g compare with the graph of f ?..
The graph of g is the graph of f
translated up 7 units
translated left 7 units
translated right 7 units
translated down 7 units
stretched vertically by a scale factor of 7
stretched horizontally by a scale factor of 7
The graph of g is Transformation up 7 units.
what is Transformation?
A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.
solution:
From the question, we have the following parameters that can be used in our computation:
g(x) = f(x) + k
Also, we have the value of k to be
k = 7
From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units
This means that
g(x) = f(x) + k
So, we have
g(x) = f(x) + 7
Hence, the transformation is (a) translated up 7 units
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An ellipse is represented by the equation . each directrix of this ellipse is a ________________________ from the center on the major axis. horizontal line that is 20 units vertical line that is 20 units horizontal line that is 31.25 units vertical line that is 31.25 units
The directrix of the ellipse from the center of the major axis is 31.25 units. Then the correct option is D.
What is an ellipse?Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.
The equation of the ellipse is given below.
\(\rm \dfrac{(x-5)^2}{625}+ \dfrac{(y-4)^2}{225}=1\\\\\\\dfrac{(x-5)^2}{25^2}+ \dfrac{(y-4)^2}{15^2}=1\)
Then the standard equation of the ellipse will be
\(\rm \dfrac{(x)^2}{a^2}+ \dfrac{(y)^2}{b^2}=1\)
On comparing, we have
a = 25 and b = 15
Then the eccentricity (e) of an ellipse will be
\(e = \sqrt{1-\dfrac{b^2}{a^2}}\\\\\\e = \sqrt{1-\dfrac{15^2}{25^2}} \\\\\\e = 0.8\)
Then the directrix of the ellipse from the center of the major axis will be
\(\Rightarrow \dfrac{a}{e}\\\\\Rightarrow \dfrac{25}{0.8}\\\\\Rightarrow 31.25 \ units\)
Thus, the directrix of the ellipse from the center of the major axis is 31.25 units.
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Answer:
D on edge
Step-by-step explanation:
vertical line that is 31.25 units
Every angle in the polygon is a right angle. The area of the polygon is 426 in2. What is the length of the left side of the polygon? Show your work. help fast due in a few hours
Answer:
31 in
Step-by-step explanation:
First let's split the bottom part of the L in two parts of 19 and \(26-19=7 in\) each. Now the whole area is made of two rectangles of sides \(19\times11\) and \(7\times h\),where h is the length of the left side. These two have to add up to 426 so
\(19\times 11 + 7\times h = 426\\209+7h = 426\\7h =217 \rightarrow h=31\)