Answer:
the probability of flipping n times is 12n, since that's the probability of flipping exactly n−1 tails followed by 1 heads.
Step-by-step explanation:
Is ABC a right angle? Why or why not?
Answer:
3.Yes, because triangle ABC has a 90 degree angle.
4.No, because triangle XYZ doesn’t have a 90 degree angle.
In a large perfectly quiet room, suppose the intensity due to standing near a single bee is I . If instead of one bee, there were a swarm of 100 bees (thus 100 times the intensity), what would be the resulting increase in the sound intensity level? To solve this problem, apply the following property of the log function: logA−logB=log(AB) .
The sound intensity level due to a swarm of 100 bees will be higher than the intensity due to a single bee. This can be calculated using the logarithmic function. Therefore, the resulting increase in sound intensity level can be calculated by using the equation I100 = 10log(100I).
This property of the logarithmic function can be used to calculate the increase in sound intensity level due to larger groups of bees. By increasing the number of bees, the intensity of sound will also increase, as shown by this equation. Therefore, the logarithmic function can be used to calculate the relative difference in sound intensity level between single bee and a swarm of bees.
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Solve this system by elimination
10x+6y=14
-x-6y=-23
Answer:
(-1, 4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
10x + 6y = 14
-x - 6y = -23
Step 2: Solve for x
Elimination
Add 2 equations together: 9x = -9Divide 9 on both sides: x = -1Step 3: Solve for y
Define original equation: -x - 6y = -23Substitute in x: -(-1) - 6y = -23Multiply: 1 - 6y = -23Subtract 1 on both sides: -6y = -24Divide -6 on both sides: y = 4The vehicle preference of police officers and firefighters is given in the table.
Police Officers Firefighters
Cars 12
Trucks 9
SUVS 15
3
4
2
Based on the information in the table, which of the following is an example of independent events.
An example of independent events is P(Police Officers and choose cars).
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent if we have:
P(A ∩ B) = P(A)P(B)
Police Officers Firefighters
Cars 12 3
Trucks 9 4
SUVs 15 2
Let P(A) = Firefighters choose cars
P(B) = Firefighters choose Trucks
P(A ∩ B) = Police Officers choose cars
Thus,
P(A ∩ B) = P(A)P(B)
12 = (4) ( 3)
Hence, an example of independent events is P(Police Officers and choose cars).
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How to reduce the fraction 4/7 x 3/8 ?
Answer:
The simplified version of the multiplied fractions is 3/14.
Step-by-step explanation:
First you can cross multiply the fractions, so 4×3=12, and 7×8=56. this gives you the fraction 12\56. you can reduce both the numerator and the denominator by dividing them by 4, giving you 3/14.
A coin is tossed twice. Let
E
be the event "the first toss shows heads" and
F
the event "the second toss shows heads".
(a) Are the events
E
and
F
independent?
Input Yes or No:
(b) Find the probability of showing heads on both tosses. Write your answer as a reduced fraction.
Answer:
Answer:
(a) Yes, E and F are independent events.
(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4
Lee has made a nonrefundable deposit of the first month’s rent (equal to $900) on a
apartment lease to 6 months. The same day later Lee finds a different apartment that
he likes just as well, but its monthly rent is cheaper and negotiable. Assume a nominal
rate interest rate of 8% convertible monthly. The rent will be paid monthly and at the
beginning of each month. [8]
(i) Write down the cash flow and compute the present value (to 2 decimal numbers)
of 6 months if Lee rents the first apartment ($900).
(ii) Find the range of the rent (to 2 decimal numbers) of the cheaper apartment such
that Lee would switch to rent the new apartment.
It would be wiser for the couple to stay in the old apartment and save $1400.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Explanation:
If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,
If they leave, they'll have to forgo $1000.
If they move to their new apartment, they'll pay $900 x 6 = $5400
total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.
It would be wiser for the couple to stay in the old apartment and save $1400.
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There is a new fair coming to town this weekend. Tickets are selling for $10.99 for adults and $5.99 for kids. Each ride is $0.99 cents each. Make an equation for adults tickets and another equations for kids ticket. How much money would each spend if they each ride 5 rides?
Answer:
(a)Adult:10.99+0.99x, Kid: 5.99+0.99x
(b)Adult's Total cost = $15.94, Kid's Total cost =$10.94
Explanation:
Cost of a ride = $0.99
Let x be the number of rides.
Cost of an Adult Ticket = $10.99
An equation for adult tickets will therefore be: 10.99+0.99x
Similarly, the cost of a kid ticket =$5.99
An equation for adult tickets will therefore be: 5.99+0.99x
(b)If they ride 5 tickets each, the amount of money spent will be:
x=5 rides
Total cost for an adult=10.99+0.99(5)
=10.99+4.95
=$15.94
Total cost for a kid = 5.99+0.99(5)
=5.99+4.95
=$10.94
Which of the following correctly identifies the set of outputs?
{(5, –2), (1, –1), (–2, 2), (2, 5)}
{(–2, 5), (–1, 1), (2, –2), (5, 2)}
{–2, –1, 2, 5}
{–2, 1, 2, 5}
Based on the graph above, determine the amplitude, midline, and period of the function
Amplitude:?
Period:?
Midline: y=?
The amplitude, midline and period of the function are 3 units, 4units and 5 units respectively
How to determine the amplitude, midline, and period of the function based on the graph?
The amplitude is half the full height of the periodic function. That is:
Amplitude = (maximum - minimum)/2
Check the image attached, the maximum and minimum are labeled max and min respectively
Amplitude = (-1 - (-7))/2 = 6/2 = 3 units
The midline is the middle of the periodic graph or halfway between the minimum and maximum of the graph
Midline = (maximum + minimum)/2
Midline = (-1 + (-7))/2 = -8/2 = -4 units
The period is the distance between two peaks or (maximums) on the graph.
Period = 1-(-4) = 5 units
Therefore, the amplitude, midline and period are 3 units, 4units and 5 units respectively
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PLEASE SOLVE FOR 50 POINTS!!!!
3 answer :-
if the diameter=14cm
then radius =7cm
height=18.2cm
we know that
C. S. A=2πrh
=2×22/7×7×18.2
=36.4×22
the metal used for making can =796.4
hope this help you I apologize if the above answer is wrong
I am sorry but I know only one answer
Parametric Functions
Answer:
Step-by-step explanation:
it think it 23 becasue u add
1 divide it by 2
Order |-7|, |-6|, |18|, |0|
Answer:
the correct order is ...
18 , 0 , -6 , -7
How many terms are in the expression
2k+15-m-3+n-7p = ?
HELP ME PLEASE
Answer:
5
Step-by-step explanation:
once you combine like terms you get 5 terms
A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12m, find the dimensions of the rectangle that will produce the largest area of the window.
The dimensions of the rectangle that will produce the largest area of the window are x = (12 - √3) / 2 and y = 3 / √3.
Let x be the length of the rectangle, and y be the width of the rectangle. The perimeter of the window is 12m, and since the triangle is equilateral, we know that all 3 sides of the triangle are equal to x.
Therefore, we can set up the following equation to represent the perimeter of the window: x + y + x = 12
The area expression is:
A = x*y + (x^2 * √3)/4
After substituting x = (12-y)/2, the area expression becomes:
A = [((12-y)/2)*y] + [(12-y)^2 * √3]/16
Which can be simplified to:
A = 6y - 3y^2 + (9-3y)√3 / 4
To find the maximum value of this expression, we can differentiate it with respect to y and set it to zero:
dA/dy = -3y + (9-3y)√3/4 = 0
and solve for y:
-3y + (9-3y)√3/4 = 0
-3y = (3y-9)√3/4
-3y = 3y-9 / 2√3
3y = 9 / 2√3
y = 3 / √3
To find x, we can substitute this value of y back into x = (12-y)/2:
x = (12 - 3 / √3) / 2 = (12 - √3) / 2
So the dimensions of the rectangle that will produce the largest area of the window are x = (12 - √3) / 2 and y = 3 / √3.
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find the value of x
a. 68
b. 44
c. 56
d. 22
Answer: x=68° because this triangle is a isoscele triangle which means that it haves 2 sides that are congruent and equivalent which means they have the same value and sides and are Congruent just means In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
The value of angle [x] is equivalent to 44°.
What is Parallelogram? What is triangle? What is a expression? What is a mathematical equation?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically - ∠x + ∠y + ∠z = 180°There are different types of triangles such as - equilateral triangle , scalene triangle , isosceles triangle etc.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.We have a triangle as shown.
We know, the angles opposite to equal sides are equal.
So, we can write -
x + 68° + 68° = 180°
x = 180° - (136°)
x = 44°
Therefore, the value of angle [x] is equivalent to 44°.
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which point is on the line 4y-2x=0
Answer:
(2,1)
Step-by-step explanation:
The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.
So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:
4(1) - 2(2) = 0
So the point (2,1) is on the line.
please fast if could
Answer:9/41
SOH = opposite over hypotenuse
Step-by-step explanation:
Which expression is always equivalent to sin x when 0° < x < 90°?
(1) cos (90°- x)
(3) cos (2x)
(2) cos (45° - x)
(4) cos x
The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1
To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.
Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.
Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.
On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.
Option 1 is correct.
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Sarah used 3 pound of blueberries to make 1 cup of jam. How many pounds of blueberries would she need
42
to make a cup of jam?
Answer:
126 pounds of blueberries
Step-by-step explanation:
1cup of jam=3pounds of blueberries
42cups of jam=?
42 X 3=126
4. Each picture shows two polygons, one labeled Polygon
A and one labeled Polygon B. Describe how to move
Polygon A into the position of Polygon B using a
transformation.
Answer:
Flip over y axis.
Step-by-step explanation:
rule of transformation
Answer:
A, Reflected
B, Rotated
C, Translated
Step-by-step explanation:
Helppppppp I’ll give brainlyyyyyyyyyyyyy
The values of a, h and k for the function include the following:
a = 2
h = 3
k = -2
How to write an equation for the transformed logarithm?In Mathematics and Geometry, the general form of a logarithm function is represented by the following mathematical equation:
f(x) = alog(±x + h) + k
Where:
a represent the scale factor of the logarithmic graphh represent a horizontal translation.k represent a vertical translation.x represent the base.Based on the given logarithm function f(x) = 2log₄(x + 3) - 2, we can reasonably infer and logically deduce that the scale factor (a) used is equal to 2.
This ultimately implies that, the values of a, h and k for the function are 2, 3, and -2 respectively.
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Seemas little sister is now 5 years old.if Her age is 2 years more than 1/4 of seemas age, how old is seems
Answer:
12
Step-by-step explanation:
Seema’s little sister is 2 years more than ¼ of Seema’s age, so you should subtract 2 from 5 to find ¼ of Seema’s age. If 3 is ¼ of Seema’s age, all you do is multiply it by 4 to get the original number. 3x4 is 12, so the final answer is that Seema is 12.
Please help find the answer. Thank You!
Answer:
Step-by-step explanation:
208
need a answer for this question
Answer:
The values of a, b, and c determine the shape and position of the parabola. The domain of a function is the set of all real values of x that will give real values for y. The range of a function is the set of all real values of y that you can get by plugging real numbers into x. The quadratic parent function is y = x2.
Step-by-step explanation:
just read carefully and look it up on symbolab
by substituting the given values for x calculate the y value for the following equation y=x+2
The blue object (D) has been rotated 270° clockwise about the point (1, 2). Which is the correct image?
The correct image include the following: B. Green: image A.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.
In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.
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How far is –8 from the origin?
Answer:
8...its 8 from the origin.
Step-by-step explanation:
Round each number to the nearest ten dollars
839.82 $
Answer: $840
Step-by-step explanation:
$839.82 =
$839.82 = $840
An international company has employees in one country. If this represents of the company's employees, how many employees does it have in total?
Thus, the total number of employees this international company has is 79,762.
Explain about the percentage of number?There are three typical types of percentage issues that you could encounter in personal or professional settings. Finding the percentage, the starting number, and the finishing number are a few of them.
All three can be answered by computing for the missing half of the percentage method:
Percentage = (Value / Total value) × 100
Let X be the total number of employees.
Total employees in one country = 26,800.
33.6% of X = 26800
X = 26800 / 33.6%
X = 26800 / 0.336
X = 79762
Thus, the total number of employees this international company has is 79,762.
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Complete question:
An international company has 26,800 employees in one country. If this represents 33.6% of the company’s employees, how many employees does it have in total?