Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=5/2
Decimal Form:
x=2.5
Mixed Number Form:
x=2 1/2
Step-by-step explanation:
The average playing time of compact discs in a large collection is 35 minutes, and the standard deviation is 5 minutes.
a. What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean?
b. Without assuming anything about the distribution of times, at least what percentage of the times is between 25 and 45 minutes?
c. Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 20 minutes or greater than 50 minutes?
d. Assuming that the distribution of times is approximately normal, about what percentage of times are between 25 and 45 minutes? less than 20 minutes or greater than 50 minutes? less than 20 minutes?
68% are within 30 minutes to 40 minutes, 95% are within 25 minutes to 45 minutes and 99.7% are within 20 minutes to 50 minutes
The three sigma rule states that 68% are within one standard deviation of the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.
Given that μ = 35, σ = 5
68% are within one standard deviation = μ ± σ = 35 ± 5 = (30, 40)
95% are within two standard deviation = μ ± 2σ = 35 ± 2*5 = (25, 45)
99.7% are within three standard deviation = μ ± 3σ = 35 ± 3*5 = (20, 50)
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Sifu has 6 girls and 8 boys in his karate class. He randomly selects one student
to demonstrate a self-defense technique. Find the probability of each event
Answer:
half-class
Step-by-step explanation:
Answer:
42.86%
Step-by-step explanation:
Event = Girl
Therare 6 girls and 8 boys, which are thus 6+8 =14 students in total and thus there are 14 possible out comes.
# of possible outcomes = 14
There are 6 girls in the class and thus there are 6 favorable outcomes.
# of favorable outcomes = 6
The probability is the number of favorable outcomes divided by the number of possible outcomes.
P(Girl) = # of favorable outcomes
# of possible outcomes
= [tex]\frac{6}{14}[/tex]
= [tex]\frac{3}{7}[/tex]
≈ 0.4286
= 42.86%
Result
[tex]\frac{3}{7}[/tex] ≈ 0.4286 = 42.86%
HURRY PLS!
Evaluate if a= 4 and b=7
28÷ b+7
A. 14
B. 11
Step-by-step explanation:
Hi, I think correct variant is B
(28÷7)+7=4+7=11
The variables x and y are directly
related. When x=15, y = 6. What is the
value of x when y = -4?
WILL MARK BRAINIEST!! 50 POINTS.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x).
Part B: Solve for k in each type of transformation.
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).
Answer:
Part A: The two types of types of transformation are
1) Rotation of 11.3° about (1, 2)
2) By algebraic transformation
Part B:
Rotation by 11.3° and T(2 - y)×1/2 + x, 0)
Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)
Step-by-step explanation:
The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)
The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)
The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;
The slope, m = (13 - 3)/(3 - 1) = 5
The equation in point and slope form is y - 3 = 5×(x -1)
y = 5·x - 5 + 3 = 5·x - 3
y = 5·x - 3
The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;
The slope, m = (13 - 3)/(1 - 1) = ∞
∴ The equation in point and slope form is x = 1
Therefore, the two equations meet at the point (1, 2)
The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)
2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows
Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°
Rotation of f(x) by 11.3° about (1, 2) gives g(x)
Hope this helped!
There are 14 European cities that Sam would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)
Answer:
2184 different schedules
Step-by-step explanation:
Sam can make different schedules of the same three cities, so order of cities does matter, but no repetition is allowed. This makes this a permutation without repetition.
When we choose from n items, and we choose r of them, our formula is
n! / (n-r)!. We have 14 things to choose from, and 3 to choose, so our formula becomes
14! / (14-3)! = 14!/11! = 14*13*12 = 2184 different schedules
If the probability that a randomly chosen college student uses a ride sharing app is 0.27, then what is the probability that a randomly chosen college student does not use a ride sharing app?
Give your answer as a decimal.
Answer:
0.73
Took the quiz
The probability that a randomly chosen college student does not use a ride sharing app is 0.73.
What is the probability?Probability is a stastistical measure that is used to determine who likely it is that event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a randomly chosen college student does not use a ride sharing app = 1 - 0.27 = 0.73
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multiply 8 by 10, then subtract t from the result
Answer:
80-t
Step-by-step explanation:
8(10)=80
80-t
Not sure if this is what you mean... please attach a picture to your question.
please i need help on this question
Will give brainliest
Answer:
between midnight and 3am i think
Step-by-step explanation:
tom drank 3/4 of a cup of water in 2/3 of a minute. at this rate how much water did he drink in a full minute PLEASE HELP
Answer:
9/8
Step-by-step explanation:
x=(3/4)/2*3=9/8
Answer:9/8
Step-by-step explanation:divide 3/4 by 2/4
What is the largest integer whose cube is less than 10,000?
Answer:
8 512 =8 X 8 X 8
Step-by-step explanation:
Pre college need help
Answer:
check online for more information
In need of help pls. Try and answer asap.
Answer:
Step-by-step explanation:
∠1 and 85 are supplementary
m∠1 = 180 - 85 = 95°
somebody please help me:(
Jada and Han order two identical pizza’s.jada ate 1/2 of hers and han ate 2/3 of his. How much pizza did they eat altogether
The amount of pizza that they eat altogether will be 7/6 pizza out of 2 pizzas.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas. This approach is used to answer the problem correctly and completely.
Jada and Han request two indistinguishable pizzas. Jada ate 1/2 of hers and Han ate 2/3 of his.
The amount of pizza that they eat altogether will be given as,
⇒ 2/3 + 1/2
Add the fraction, then we have
⇒ 2/3 + 1/2
⇒ (4 + 3) / 6
⇒ 7 / 6
The amount of pizza that they eat by and large will be 7/6 pizza out of 2 pizzas.
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2 times the difference of 5 and 3
Answer:
4
Step-by-step explanation:
Equation:-
2(5-3)
=> 2(2)
=> 4
Joe ran 2 miles in 16 minutes. At this rate how long did it take him to run 5 miles.
Answer:
40min
Step-by-step explanation:
Since the ratio is 2:16, we want simplify. both 2 and 16 are dividable by 2.
2 / 2 = 1
16 / 2 = 8.
Now we can use the ratio 1 mile per 8 min. We want the rate of how many min to miles, so we'd multiply 5 by 8 which equals 40.
Therefore it takes him 40min to run 5 miles.
Hope this helps!
what is y=2x+3 y=−3x+3
Step-by-step explanation:
equate the two equations
7×0.4= show work please
Answer:
2.8
Step-by-step explanation:
.4 × 7 =2.8
.4+.4+.4+.4+.4+.4+.4
Hope this helps!!:)
Answer:
2.8
Step-by-step explanation:
This is the same as:
[tex]0.4+0.4+0.4+0.4+0.4+0.4+0.4[/tex]
If we were to change the question to:
[tex]4+4+4+4+4+4+4=28[/tex]
That would be 10x this question's answer, Therefore you divide 28 by 10 to give you 2.8
write the linear equation in slope intercept form (-2,-4) and (-3,-3)
Answer:
y=7x+18
Step-by-step explanation:
the y intercept is 18 and the slope is 7.
Rachel has $10.00. She wants to buy a book that costs $6.79. Will she have enough
money left over to buy a pen for $3.50? Explain.
Answer:
No
Step-by-step explanation:
Because 10 - 6.79 = 3.21
Rachel will not have enough money left over to buy a pen for cost $3.50.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference. It is one of the basic operation in mathematics.
A number 'b' subtracted from 'a' is denoted as a - b, read as a minus b.
Total money Rachel has = $10.00
Cost of book = $6.79
If she buy the book,
Remaining money = $10.00 - $6.79
= $3.21
Cost of pen = $3.50, which is greater than the remaining money. So Rachel can't buy the pen.
Hence Rachel will not have enough money to buy a pen for $3.50 because she only has a balance of $3.21.
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Question
Evelyn placed $1500 in a savings account which earns 5.2% interest, compounded continuously,
How much will she have in the account after 8 years?
Round your answer to the nearest dollar
DO NOT round until you have calculated the final answer.
Answer:
Step-by-step explanation:
So the final answer is $2274.
The formula for the area of an ellipse is Arnab. Using a + b = 20 write the area of
the ellipse as a function of a by solving for a and then plugging in your results
into the formula for the area of an ellipse to replace b.
[tex]A=\pi ab\qquad \qquad \begin{array}{llll} a+b=20\\ b=20-a \end{array}\qquad \qquad \stackrel{\textit{substituting}}{A=\pi a(20-a)}\implies A=\pi (20a-a^2)[/tex]
The area of the ellipse is given by the function A(a) = 20πa - πa², where a is a parameter representing one of the semi-major axes of the ellipse.
To write the area of the ellipse as a function of a using the given constraint a + b = 20, we first need to solve for b in terms of a and then substitute the expression for b into the formula for the area of the ellipse.
Given the equation for the ellipse:
x²/a² + y²/b² = 1
We have the constraint: a + b = 20
Now, let's solve for b in terms of a:
b = 20 - a
Now, we'll substitute this expression for b into the formula for the area of the ellipse:
Area (A) = πab
Area (A) = πa(20 - a)
Area (A) = 20πa - πa²
So, the area of the ellipse is given by the function A(a) = 20πa - πa², where a is a parameter representing one of the semi-major axes of the ellipse.
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If A = -3n + 2, and B = 5n - 7, what is the value of A - B, in simplest form?
Answer:
2n-5
Step-by-step explanation:
So you would combine your like terms witch would be -3n+5n which would give you 2n then you would do 2-7 and get -5 then you get you answer 2n-5
The value of (A - B) in the simplest form is (A - B) = -8n + 9.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equations are A = -3n + 2 and B = 5n - 7.
The value of A - B is:
A - B
= -3n + 2 - (5n - 7)
= -3n + 2 - 5n + 7
= -8n + 9
Hence, the value of (A - B) in the simplest form is (A - B) = -8n + 9.
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U like fruit WELL ANSWER THIS. lol pls help!!!
Answer:apple
Step-by-step explanation:
Answer:
Blueberries.
Step-by-step explanation:
Apples calorie is 80, Blueberries calorie is 83, Pumpkins calorie is 49, Raspberries calories is 10. The highest number of calories on this list is 83, which is blueberries
Suppose that the probability that an item produced by a certain machine will be defective is 0.1. Find the probability that a sample of 20 items will contain at most 2 defective items.
Answer:
no it is really easy question to answered so do it your self
On a team, 4 girls and 3 boys scored a total of 57 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 3 boys is 15. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Each girl scored (BLANK) points.
Answer:
Each girl scores 8 points while each boy scores 4 points
Step-by-step explanation:
Let the number of point scored by the 7 girls and 2 boys be x and y respectively.
Thus, since 7 girls and 2 boys scored a total of 64 points, then;
7x + 2y = 64 - - - (1)
Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;
7x - 2y = 48 - - - (2)
Add eq(1) to (eq 2) to get;
14x = 64 + 48
14x = 112
x = 112/14
x = 8
Put 8 for x in eq(1) to get;
7(8) + 2y = 64
56 + 2y = 64
2y = 64 - 56
2y = 8
y = 8/2
y = 4
Thus,each girl scores 8 points while each boy scores 4 points
hope this helps .
The price of an item has risen to $136 today. Yesterday it was $80. Find the percentage increase.
well, the numeric difference will be 136 - 80 = 56, now, if we take 80 (original price) to be the 100%, what is 56 (the increase) in percentage off of it?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80&100\\ 56&x \end{array}\implies \cfrac{80}{56}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x = \cfrac{700}{10}\implies x = \stackrel{\%}{70}[/tex]
Draw the image of AABC under a translation by 3 units to the left and 3 units down
this is an answer if u have somethin better go for it