Using it's concept, it is found that the probability of guessing the right combination in one try’s is of \(\frac{1}{1296}\).
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 4 dials, each with a \(\frac{1}{6}\) probability of getting it correct, hence the probability of getting the right combination is given by:
\(p = \left(\frac{1}{6}\right)^4 = \frac{1}{1296}\).
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the sum of two rational numbers is 8 if one of the numbers is -5/6 find the other
Answer:53/6
Step-by-step explanation:
Let X be the other rational number
-5/6+X=8
Add 5/6 to both sides
-5/6+5/6+X=8+5/6
0+X= 53/6 (inverse property)
X=53/6. (Identity property)
Richard opened an account in Trust Bank. The equation R=350(1+0.025)" can be used to calculate the amount of money in the account, with 'n' representing the number of years. He also opened another account in Value Savings Bank, with the equation Q=350(1+0.03)" representing the amount of money. What are the interest rates in percent?
The interest rate of the bank R is 2.5% and interest rate of the bank Q is 3%.
What is compound interest?
Compound interest is calculated on the principal as well as the interest accumulated over the previous period. It differs from simple interest in that interest is not added to the principal when calculating interest for the following period.
Here the given equation represents the amount in compound interest.
Using compound interest formula then
=> A = P\((1+\frac{R}{100})^n\)
According to the question the equation for trust bank is
=> R =350 \((1+0.025)^n\)
comparing with compound interest formula then
=> \(\frac{R}{100}= 0.025\)
=> R = 0.025× 100 =2.5%
Now the equation of other bank is
=> Q = 350\((1+0.03)^n\)
Comparing with compound interest formula then
=> \(\frac{R}{100}= 0.03\)
=> R = 0.03×100 = 3%
Hence the interest rate of the bank R is 2.5% and interest rate of the bank Q is 3%.
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The volume of a right cone is 1824 � π units 3 3 . If its circumference measures 24 � π units, find its height.
The value of the height of the cone is 38 units
How to determine the height
The formula for calculating the circumference of a cone is represented as;
Circumference = 2πr
Now, substitute the value to determine the radius, we have;
24π = 2πr
Divide by the coefficient of r
r = 24π/2π
r = 12 units
The formula for the volume of a cone is;
Volume = πr²h/3
Substitute the values
1824 π = π × 144 ×h/3
Multiply the values
1824π = 144πh/3
Make h the subject
h = 38 units
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classify the polynomial
The classification of the given polynomial is cubic polynomial, the correct option is C.
We are given that;
The equation=3x^3-x^2-x+4
Now,
Suppose the considered polynomial is of only one variable.
Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.
Degree of 3x^3=3
Degree of x^2=2
Degree of x=1
The heighest degree of the polynomial is three of 3x^3.
Therefore, by the polynomial the answer will be cubic polynomial.
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An arts academy requires there to be 3 teachers for every 69 students and 5 tutors for every 45 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 90 students?
The number of students per teacher is 23.
The number of students per tutor is 9.
The number of tutors needed for 90 students is 10 tutors.
How many tutors are needed?In order to determine the number of students per teacher and per tutor, divide the total number of students by the number of teachers and by the number of tutors.
Division is the mathematical operation that is used to determine the quotient of two or more numbers. Division entails grouping a number into equal groups using another number. The sign used to denote division is ÷
Number of students per teacher = total number of students / total number of teacher
69 / 3 = 23 students per teacher
Number of students per tutor = total number of students / total number of tutors
45 / 5 = 9 students per tutor
In order to determine the number of tutors needed for 90 students, divide 90 by 9.
90 / 9 = 10 tutors
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8+3=
Is equals to what
Working alone, it takes Kristin 11 hours to harvest a field. Kayla can harvest the same field in 16 hours. Find how long it would take them if they worked together.
Answer:
(11 hrs + 16 hrs)/2 = 13.5 hrs
13.5 hrs /2 = 6.75 hrs
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Compare these data sets. The equation of the trend line is listed below each data set.
2 tables. For table 1, column 1 is labeled H R and column 2 is labeled W. The regression equation is y = 0.39 x + 20.23. For table 2, column 1 is labeled R and column 2 is labeled W. The regression equation is y = 0.15 x minus 23.2.
Which statements are true about these data sets? Check all that apply.
Both sets have negative correlation.
Both sets have positive correlation.
There is no correlation between the sets.
The Runs set has a greater rate of change than the Home Runs set.
The Home Runs set has a greater rate of change than the Runs set.
Answer:
b and e
Step-by-step explanation:
Answer:
2 and 5 or B and E
Step-by-step explanation:
on edge
Convert 1.75 to scientific notation.
0 1.75 x 10°
0 175
0 0.175 x 101
O There is no scientific notation for this number.
Answer:
1.75x10^0
this is the only possible option for this problem.
Please answer this question
Answer:
$40.00 is the answer
Step-by-step explanation:
also can you mark me as a brainlist if you get a chance
Answer: $40.00
Step-by-step explanation:
12 is 30% of 40
The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time. Which of the following is the equation of the line of best fit? A. B. C. D.
The equation for the line of best fit is given as follows:
y = 50x/3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The parameters of the definition of the linear function are given as follows:
m represents the slope of the function, which is by how much the dependent variable y increases(positive) or decreases(negative) when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On the case of the graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the graph, when x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
Hence:
y = mx.
When x = 3, y = 50, hence the slope m is given as follows:
3m = 50
m = 50/3.
Hence the equation is:
y = 50x/3.
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The list represents the number of students who checked books out of the library in a 10-day period.
48, 63, 75, 40, 32, 52, 35, 68, 83, 40
Find the median and interpret its meaning as it relates to the number of students checking out books.
A. The median is 32, and it represents the difference in the lowest and highest number of students who checked books out.
B. The median is 83, and it represents the highest number of students who checked books out.
C. The median is 40, and it represents the most common number of books that students checked out.
D. The median is 50, and it represents the typical number of students who checked books out.
The function f(x) = –x3 + 2x2 – x + 5 is graphed on a coordinate grid. Which statements accurately describe the end behavior of the graph of the function?
Answer: The true statements about the graph of the function are:
The range of the function is {y : y ≤ 6} ⇒ 2nd
The function is increasing over the interval (–∞ , –2) ⇒ 3rd
The function has a positive y-intercept ⇒ 5th
Step-by-step explanation: Lets explain how to solve the problem
- The function f(x) = -x² - 4x + 2 is a quadratic function represented
graphically by a downward parabola with maximum vertex
∵ The form of the quadratic function is f(x) = ax² + bx + c
∵ The coordinates of the vertex of the parabola are (h , k) where
h = -b/2a and k = f(h)
∵ a = -1 , b = -4
∴ h = -(-4)/2(-1) = 4/-2 = -2
∵ k = f(h)
∴ k = -(-2)² - 4(-2) + 2 = -(4) - (-8) + 2
∴ k = -4 + 8 + 2 = 6
∴ The vertex of the parabola is (-2 , 6)
* Look to the attached figure to find the true statements
∵ The greatest value of the function is 6 ⇒ y-coordinate of the vertex
∵ The range of the function is the values y-coordinates of the points
on the parabola
∴ The range of the function is {y : y ≤ 6}
- The domain of the function is {x : x ∈ R} or (-∞ , ∞)
∵ The value of y increasing after -∞ to the x-coordinate of the vertex
∵ x-coordinate of the vertex is -2
∴ The function is increasing over the interval (–∞ , –2)
- The parabola intersect the y-axis at point (0 , 2)
∵ The y-intercept is the intersection between the parabola and the
y-axis
∵ The parabola intersect the y-axis at point (0 , 2)
∴ The y-intercept is 2
Answer:
A) As x approaches negative infinity, y approaches positive infinity. As x approaches positive infinity, y approaches negative infinity.
Step-by-step explanation:
just took the quiz on edg! A is correct because it shows that when x is approaching negative, y is positive and also the other way around.
What is 4N? I am very confused
Answer:
Step-by-step explanation:
\(19 = \frac{11b + 5}{2} \)
how to solve this equation
Step-by-step explanation:
11b + 5 = 38
11b = 33
b = 3 is the answer
8/15 + 2/5 pls solve this for me someone pls
Answer: 8/15 + 2/5 = 0.93etc or 14/15
Step-by-step explanation:
Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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find 20 hours is 30 minutes
Answer:
24×20×30=14,400 minutes
1. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: s + 7 *
2. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: 5r - 4 *
3. if r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: t - s *
4 .If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: u + r *
5. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: 11t - 7 *
6. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: 6 + 3u *
7. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: 4r - 10s *
8. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: (r with an expnent of 2 +8)
9. If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: *
30 over r
10.If r = 5, s = 2, t = 7, and u = 1 then evaluate the expression: *2t with an exponent of 2-18
Answer:
1. s + 7 = 9
2. 5r - 4 = 21
3. t - s = 5
4. u + r = 6
5. 11t - 7 = 70
6. 6 + 3u = 9
7. 4r - 10s = 0
8. r with an expnent of 2 +8 = \(r^{2} + 8 = 33\)
9. 30 over r = \(\frac{30}{5}\) =6
10. 2t with an exponent of 2-18 = \((2t)^{2} - 18 = 178\)
Step-by-step explanation:
1. If r = 5, s = 2, t = 7, and u = 1 then,
s + 7 = 2 + 7 = 9
2. If r = 5, s = 2, t = 7, and u = 1 then,
5r - 4 = 5(5) - 4 = 25 - 4 = 21
3. if r = 5, s = 2, t = 7, and u = 1 then,
t - s = 7 - 2 = 5
4 .If r = 5, s = 2, t = 7, and u = 1 then,
u + r = 1 + 5 = 6
5. If r = 5, s = 2, t = 7, and u = 1 then,
11t - 7 = 11(7) - 7 = 77 - 7 = 70
6. If r = 5, s = 2, t = 7, and u = 1 then,
6 + 3u = 6 + 3(1) = 6 + 3 = 9
7. If r = 5, s = 2, t = 7, and u = 1 then,
4r - 10s = 4(5) - 10(2) = 20 - 20 = 0
8. If r = 5, s = 2, t = 7, and u = 1 then,
r with an exponent of 2 +8 = \(r^{2} + 8 = 5^{2} + 8 = 25 + 8 = 33\)
9. If r = 5, s = 2, t = 7, and u = 1 then,
30 over r = \(\frac{30}{r} = \frac{30}{5} = 6\)
10.If r = 5, s = 2, t = 7, and u = 1 then,
2t with an exponent of 2-18 = \((2t)^{2} - 18 = (2.7)^{2} - 18 = (14)^{2} - 18 = 196 - 18 = 178\)
Plz help
What is |5 x -3|?
-15
⊝
-8
⊝
15
⊝
8
Answer:
What type of math is this
Step-by-step explanation:
How many times does 1/2 go into 3/4
Answer:
1/2 goes into 3/4 1 1/2 or 1.5 times
Step-by-step explanation:
Lila earns 2,725,98 per month how much money does she have left after paying all these bills
Rent 1,250,00 groceries 325,78 electricity 55,27
Answer:
$1,094.93
Step-by-step explanation:
The income is how much money you make. You lose the money you spend. To find how much money you have left, just subtract the income with everything you spent.
This means the final answer is: 2725.98 - (1250.00 + 325.78 + 55.27) = $1,094.93
I need this answer please and thanks
k>6 or this is the interval notation [6,*infiniti sign*)
Step-by-step explanation:
this > needs to have a line under i just couldnt find it. hopefully this helps you though
i solved this for K
i need answer quick plzz
Answer:
a is ur answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
11-20, as it is the same range as the first histogram bar (1-10), and doesn't include 10 because it would overlap data.
110 mi/h is equal to mi/day
Answer:
2640 miles/day
Step-by-step explanation:
There are 24 hours in a day, so 110*24 = 2640.
Triangle A(1, 2), B(3, 2), C(2, 4) is rotated 90
degrees around the origin. What are the
coordinates of A'B'C'?
The coordinates of the transformed figure are: A ’(-1, -2), B ’(-3, -2), C ’(-2, 4)
When a shape is rotated, it must be rotated through a point, here itis rotated around the origin
The coordinates of the triangle is given as:
A(1, 2), B(3, 2), C(2, 4) is rotated 90 degree
The rule of 90 degrees clockwise rotation is:
x, y = -x, -y
So, we have:
A(1, 2) which becomes (-1, -2)
B(3, 2), which becomes (-3, -2)
C(2, 4) which becomes (-2, -4)
Hence, the coordinates of the transformed figure are:
A ’(-1, -2), B ’(-3, -2), C ’(-2, 4)
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Use a proof by contraposition to prove that if m and n are integers and mn is even, then m is even or n is even.
In order for mn to be even, m must be even or n must be an even number.
What is Contraposition ?The relationship between two propositions when the subject and predicate of one are respectively the negation of the predicate and the negation of the subject of the other.
Suppose that the statement “m is even or n is even” is not true. Then both m and n are supposed to be odd. Let’s see if the product of two odd numbers is an even or an odd number:
Let n and m be equal to 2a +1 and 2b + 1 respectively, then their product is:
(2a +1) (2b + 1) = 4ab + 2a + 2b + 1
= 2(2ab +a + b) + 1
This shows that the expression 2(2ab +a + b) + 1 is of the form 2n +1, thus the product is odd. If the product of odd numbers is odd, then mn is not true to be even. Therefore, in order for mn to be even, m must be even or n must be an even number.
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Amadou bought snacks for his team's practice. He bought a bag of chips for $1.71 and a 24-pack of juice bottles. The total cost before tax was $26.91. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs.
Building and solving an equation, it is found that each bottle of juice costs $1.05.
Her total cost of $26.91 is composed by:
A bag of chips that cost $1.71.24 juice bottles, each costing j.Hence, the equation is:
\(1.71 + 24j = 26.91\)
Solving it, we find the cost of a bottle of juice, hence:
\(1.71 + 24j = 26.91\)
\(24j = 25.2\)
\(j = \frac{25.2}{24}\)
\(j = 1.05\)
Each bottle of juice costs $1.05.
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The functions s and t are defined as follows. s (x) ニーx+5 t(x) =2x+2 Find the value of t (s (2)).
The value of the composite function t(s (2)) is 8
Finding the value of the composite function t(s (2))From the question, we have the following parameters that can be used in our computation:
s(x) = -x + 5
t(x) = 2x + 2
The composite function t(s(x)) is calculated as
t(s(x)) = 2s(x) + 2
Substitute the known values in the above equation, so, we have the following representation
t(s(x)) = 2(-x + 5) + 2
Again, substitute the known values in the above equation, so, we have the following representation
t(s(2)) = 2(-2 + 5) + 2
Evaluate
t(s(2)) = 8
Hence, the value of t(s(2)) is 8
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