Answer:
9)
\(x = 16\)
\(y = 8 \sqrt{3} \)
10)
\(x = 8\)
\(y = 8 \sqrt{2} \)
In a bag, there are ten identical balls, numbered 1 to 10. You let two persons, each pick one ball from the bag. Suppose the person who gets ball of 10 can get some reward, so each one prefers to get ball of 10. As we easily know, the probability of getting ball 10 for first person is 1/10. What is the probability of getting ball 10 for second person
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
Nora is 4 years older than Hina . If the sum of their ages is at most 45 years ,find the maximum possible age of Hina. *
b) 25 years
a) 20 years
c) 15 years
choose the correct answer
Answer:
a) 20 years
Step-by-step explanation:
Hina: x
Nora: x + 4
x + x + 4 ≤ 45
2x + 4 ≤ 45
2x ≤ 41
x ≤ 20.5
20 years old and 15 years old would be ≤ 20.5 but the question asked for maximum possible age so 20 years old it is.
Find P(AUB) of P(A)=2/5,P(B)=2/7 and A and B are Independent
P(A∪B)=24/35 when A and B are independent and P(A)=2/5,P(B)=2/7
What is meant by probability?Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely it is that a claim is true. The probability of an event is a number between 0 and 1, with 0 signifying impossibility and 1 expressing certainty. The greater the likelihood of an occurrence, the more likely it will occur.
Probability theory, which is widely used in domains such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these concepts axiomatic mathematical formalization.
Given,
P(A)=2/5
P(A)=2/7
P(A∪B)=?
And also given that A and B are independent then,
P(A∩B)=0
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=(2/5)+(2/7)-0
P(A∪B)=(14+10)/35
P(A∪B)=24/35
Therefore, P(A∪B)=24/35 when A and B are independent.
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the marathon runner runs 5/2 miles in 1/4 hour what is the unit rate?
Step-by-step explanation:
Divide the two numbers.
5/2 / 1/4
Flip the 2nd fraction and multiply:
5/2 * 4/1
20/2
10
So the marathon runner travels at a unit rate of 10 MPH.
Tell the measure of the angles In degrees 1/4
Answer:
so 1/4 of a circle is 90 degrees 1/4 is equal to 90 over 360 C it's 90 parts of 360. so here we go with this one. this angle is 20 degrees remember that's 90 alright the square one and this little part would be 20 degrees each angle appears wider as the Rays get longer.
Step-by-step explanation:
Let me know if this help's you lol :)
Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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please help solve
k-29 = 5(k-1)
Where us point c on the number line
Answer: - 0.3
Step-by-step explanation:
Correct me if I am incorrect.
Solve the equation for the indicated variable. C=680x/h^2 for x
Answer:
C h^2 / 680 = x
Step-by-step explanation:
C=680x/h^2
Multiply each side by h^2
C h^2=680x/h^2 * h^2
C h^2=680x
Divide each side by 680
C h^2 / 680=680x/680
C h^2 / 680 = x
Each week, Stephanie is paid a $180 base salary and a 3% commission on her total sales generated for the week. Which expression represents her weekly income when Stephanie generates w dollars in total sales?
180 + 0.03 w
180 + 0.03 + w
180 (0.03) w
180 (0.03) + w
Answer:
Correct it's D
Step-by-step explanation:
"The solid has ( a circular base, a trapezoidal base, a triangular base, or a rectangular base) in the xy-plane.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the xz-plane.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the yz-plane.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the plane z = 1 - x.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the 0plane y = 9 - 9z.
As x increases, the top of the region (decreases, increases, or remains constant).
As y increases, the top of the region (decreases, increases, or remains constant)."
The solid has a triangular face in the xy-plane.
The solid has a rectangular face in the xz-plane.
The solid has a trapezoidal face in the yz-plane.
The solid has a triangular face in the plane z = 1 - x.
The solid has a rectangular face in the plane y = 9 - 9z.
As x increases, the top of the region decreases.
As y increases, the top of the region remains constant.
The solid whose volume is given by the iterated integral, integral 0 to 1 integral 0 to (1-x) integral 0 to (9 - 9z) dy dz dx. This is a three-dimensional solid, that has been defined by three nested integrals. The outer integral is with respect to x, the second integral is with respect to y and the inner integral is with respect to z.
In the xz-plane, the solid has a rectangular face: the integral bounds for x are 0 to 1 and for z, it is 0 to (9 - 9z)
In the yz-plane, the solid has a trapezoidal face: the integral bounds for y are 0 to (1-x) and for z, it is 0 to (9 - 9z)
In the plane z = 1 - x, the solid has a triangular face: the integral bounds for x are 0 to 1 and z = 1 - x
In the plane y = 9 - 9z, the solid has a rectangular face: the integral bounds for y are 0 to (1-x) and y = 9 - 9z
As x increases, the top of the region decreases: the limit for y decreases from 9 to 0 as x increases from 0 to 1
As y increases, the top of the region remains constant: y = 9 - 9z is a constant value, as y increases, the integral bounds for z decrease from 9 to 0
This solid is a rectangular pyramid with a trapezoidal base. The rectangular face is located in the xz-plane, the trapezoidal face is located in the yz-plane, the triangular face is located in the plane z = 1
--The question is incomplete, answering to the question below
"The solid whose volume is given by the iterated integral,
∫ [0 to 1] ∫ [0 to (1-x)] ∫ [0 to (9 - 9z)] (dy dz dx)
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the xz-plane.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the yz-plane.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the plane z = 1 - x.
The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the plane y = 9 - 9z.
As x increases, the top of the region (decreases, increases, or remains constant).
As y increases, the top of the region (decreases, increases, or remains constant)."
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PLEASE HELP WILL MARK BRAINEST IF RIGHT!!!
Answer:
p: True, q: False, r: True
Step-by-step explanation:
Truth value only has two answer choices: true or false
p: True (there are 7 days in a week)
q: False (there are 31 not 30 days in March)
r: True (Halloween is on Oct. 31)
If not correct, write a message and I will try to help further.
does anyone can give the sums of four operations
Answer:
what are they? it depends lol
penny reads 14 pages in 1/4
hour. What is the unit rate for pages per hour? For hours per page?
help me pls
Evaluate arccos (-1/2)
Answer:
120 degrees
Step-by-step explanation:
plugged into calculator
cos inverse of -1/2
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Samantha is 9 years younger than her brother Maurice. In 10
years, Maurice will be 1.5 times older than his sister. Find their
present ages.
Step-by-step explanation:
hope you can understand
Answer:
Samantha is 8 years and Maurice is 17 years
Step-by-step explanation:
First represent Samantha's brother's age with a variable, x.
Secondly, find Samantha's age. since shes 9 years younger, then it will be her brother's age which is x minus 9
Thirdly, in ten years, they will all age hence 10 will be added to all their ages.
Fourthly, once 10 has been added to their after 10 years, rhen we realise Maurice age will be 1.5 timess Samantha's age... Then you solve the resulting equation.
Hurry and answer this please I have to have this right or I'll have to be held back.From a group of 5 boys and 3 girls, a boy AND a girl will be selected to attend a conference. In how many ways can the selection be made?
Answer:
15 ways
Step-by-step explanation:
girl 1 and boy 1
girl 2 and boy 1
girl 3 and boy1
girl 1 and boy 2
girl2 and boy 2
girl 3 and boy 2
girl 1 and boy 3
girl 2 and boy 3
girl 3 and boy 3
girl 1 and boy 4
girl 2 and boy 4
girl 3 and boy 4
girl 1 and boy 5
girl 2 and boy 5
girl 3 and boy 5
A certain sum of money is divided among A, B, C in the ratio 2: 3 : 4. If A's share is RS. 20000, find the share of B and C.
Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.
Here,
Let the total sum of money be x.
Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:
2/9 * x = 20000
Multiplying both sides by 9/2, we get:
x = 90000
Now, we can find the shares of B and C as follows:
B's share = 3/9 * 90000 = 30000
C's share = 4/9 * 90000 = 40000
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Please can someone help much appreciated .
Answer:
23/6
Step-by-step explanation:
23
6
Which of the following data sets has a range of 40?
a. {40, 10, 20, 100}
C. {40, 10, 20, 50}
b. {40, 10, 20, 80}
d. {40, 10, 20, 40}
Please select the best answer from the choices provided
A
B
С
Answer:
The second answer - 40, 10, 20, 50
Step-by-step explanation:
Range is the difference between the largest and smallest number in a data set. The biggest and smallest numbers in the data set are 50 and 10, respectively. 50 - 10 = 40.
Which polynomial is prime?
O 3x³ + 3x² - 2x - 2
O 3x³ − 2x² + 3x − 4
-
O
4x³ + 2x² + 6x + 3
O
4x³+4x²-3x - 3
Answer:
B
Step-by-step explanation:
a prime polynomial is one which does not factor into 2 binomials.
its only factors are 1 and itself
attempt to factorise the given polynomials
3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )
= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term
= (x + 1)(3x² - 2) ← in factored form
--------------------------------------------------
3x³ - 2x² + 3x - 4 ( factor the first/second terms
= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored
thus this polynomial is prime
----------------------------------------------------
4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )
= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term
= (2x + 1)(2x² + 3) ← in factored form
-------------------------------------------------
4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )
= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term
= (x + 1)(4x² - 3) ← in factored form
--------------------------------------------------
the only polynomial which does not factorise is
3x³ - 2x² + 3x - 4
Can anyone help me here this is a mastery test by the way. Too tired to type it out so I put a photo.
^
|
Answer:
1st Question is 22r4
2nd Question is 22r16
3rd Question is 11r11
4th Question is 11r30
Step-by-step explanation:
Hope this helps. I'll give you my energy.
PLZ HELPPPPPPPPPPPPPPPPPPPPPPP
Describe what you notice when you create the inverse ratio.
Easy geometry please help!!
In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.
We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.
Using this information, we can set up equations to solve for the variables.
From the given information, we have -
AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)
BE = x + 2
DE = BE = (x + 2) = g (since diagonals bisect each other at point E)
We also know that opposite sides of a parallelogram are parallel.
Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -
10/1 = 2y/1
10 = 2y
y = 5
Now we can use equation (1) to solve for x -
2x - 5 = 5x - 17
12 = 3x
x = 4
Finally, we can use x to solve for g -
(x + 2) = g
(4 + 2) = g
g = 6
Therefore, the values of x, y, and g are 4, 5, and 6, respectively.
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Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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Geometry Section 58C/School Year/
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A
Part B, and Part C
Part A: How many triangles can be formed if the measurements of a triangle are a 27,6-15, A-557
Part B: Explain how to determine the answer to Part A
Part C: Find all possible solutions for this triangle.
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1. Triangle inequality theorem.
3. The missing lengths and angles are:
<B = 27.07, <C = 98 and c = 32.64.
1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.
3. We have,
a = 27, b = 15, and A = 55°,
Using the Law of Sines,
sin A/ a = sin B/ b
sin 55 /27 = sin B / 15
0.81915204428 / 27 = sin B /15
0.4550844690444 = sin B
<B = 27.07
Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98
Now, Using the Law of Sines
sin A/ a = sin C/ C
0.81915204428 / 27 = sin 98 / c
0.030338964602963 = 0.99026807 /c
c = 32.64
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Kylie is birdwatching and has seen 9 thrushes so far, as well as 24 other birds. Considering this data, how many of the next 88 birds to be spotted should you expect to be thrushes? thrushes
Answer:
33
Step-by-step explanation:
9 out of 24
x out of 88
so by interpolation it's gonna be 33.
pls I need help in this exercise
Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.
Describe equation.When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.
Here,
Given :
50a + 12h is the floor area of a square foot.
where h is the amount of hours.
Thus.
When t=6 and a=40
So ,
the price of carpeting
=> Price = 50a plus 12h
=> Cost = 50*40 + 12*6
=> Cost = 2000 + 72
=> Cost = 2072
As a result, the answer to the given equation's problem is that a carpet costs $2072.
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