The probability of tossing 3 heads in a row is P = 0.125, and after that, because the events are independent, the probability of getting heads (or tails) still is p = 0.5
How to find the probability?Assuming that we have a fair coin, we assume that both outcomes have the same probability, so:
P(tails) = 0.5
P(heads) = 0.5
Then the probability of getting heads 3 times in a row, is the product of the probability of getting heads 3 times, this will be:
P(3 heads) = 0.5*0.5*0.5
P(3 heads) = 0.5^3
P(3 heads) = 0.125
Now, after this point, what is the probability of getting heads or tails?
Remember that each toss of the coin is independent of the previous one, so the probability of getting tails still is 0,5, and the same for the probability of getting heads.
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Prove that limx→2. 1/1-x= -1 using the definition of limit .
Answer:
1332
[tex]7x))742 \sqrt[ \sqrt[241]{?} ]{?} [/tex]
Answer:
Refer to the step-by-step.
Step-by-step explanation:
[tex]Given:\\ \lim_{x\to \22} \frac{1}{1-x}[/tex]
Plug in the value of 2 in for x. We get,
⇒ [tex]\frac{1}{1-(2)}[/tex] ⇒ [tex]\frac{1}{-1}[/tex] ⇒ -1
So, [tex]\\ \lim_{x\to \22} \frac{1}{1-x} = -1[/tex]
guys please help its due today!
Answer:
Step-by-step explanation:
the answer is 6
C(6,18), SF=____ C'(2,6)
Pls help me solve this and figure this out!!!
16^x^2
= 8⁰
I’ll put a picture of it so you can better understand it. Also I’ll give you 30 points, so one of you better answer by 10:00 tomorrow.
Answer:
x=0
Step-by-step explanation:
[tex]16^{x^2}=8^0\\\\16^{x^2}=1\\\\x^2\ln(16)=0\\\\x^2=0\\\\x=0[/tex]
Lin solved the equation incorrectly. Find the errors in her solution.
x = 3/4 is the correct solution of the given expression.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
The expression Lin tried to solve
8(x-3)+7=2x(4-17)
Simplifying the expression,
8x - 24 = 2x(-13)
8x - 24 = -26x
8x+26x = 24
32x = 24
x = 24/32
x = 3/4
Thus, x = 3/4 is the correct solution of the given expression.
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hello- need help on this :)
Find (f•g)(1)
f(x)=x²-1
g(x) = √x
The answer to the stated domain range puzzle is 0.
What exactly are a domain and range?both domain and range. The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The values that the function outputs when we enter an x value are in this set.
What do a function's domain and range consist of?The collection of all possible inputs and outputs constitutes a function's domain and range, respectively. Important features of a function are the domain and range.
According to the given information:(f(g)(x) = (√x)² - 1
(f(g)(x) = x - 1
(f(g)(x)(1) = 1 - 1 = 0
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hello i need help with my math question please thank.
The three ways to purchase a vehicle include: (1) On lease (2) On hire purchased and (3) On cash basis
How to purchase a vehicle?A vehicle can be purchased on the following ways:
Lease: This involves granting the user access on the property over a period of time before he could make payment
Hire purchase: In this method, the buyer deposits first initial money while he agrees with the seller to make the payment of the balance on installment basis
Cash: In this method the buyer pays cash at prompt or on the point of purchase
Advantages include:
It places the buyer on good life without cash
He enjoys the luxurious life
Disadvantages:
He can run away with the vehicle
The seller looses in cash of accident taking the life of the buye
Additional expenses include
Cost of maintenance
Repairs
Fueling
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The ratio of yellow houses to white houses on a street is 18 to 26.
Simplify the ratio.
Enter your answer by filling in the boxes.
to
Answer: The ratio 18:26 simplified is 9:13.
Step-by-step explanation:
To simplify the ratio 18:26, we find the greatest common divisor of 18 and 26, and then we divide 18 and 26 by the greatest common divisor.
The greatest common divisor that you can use to simplify 18:26 is 2. Which means the answer to ratio 18:26 simplified is: 9:13
Answer:9/13
explanation: k12
A builder buys a 21.5 acres of land to develop a new community of homes and parks.The builder plans to use 0.75 of the land for a park.How many acres will he use for the park?
He will use 9.375 acres of the land for the park
How to determine how many acres he will use for the park?A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.
Since the land is 21.5 acres and 0.75 of the land was used for a park. we can write:
acres used for the park = 0.75 × 12.5 = 9.375 acres
Thus, he will use 9.375 acres for the park
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The table below shows the number of bacteria in a laboratory sample after x minutes. Fill in the missing blanks (HELP!!!)
Answer:
2.25
4.5
9
18
36
72
144
288
Step-by-step explanation: you take the number and multiply it by itself. but went it comes to the negative numbers you have to divide the number by 2 then take the answer you get from that and add it by itself so 4.5+4.5=9. its pretty simply when you under stand how to do it.
Two distinct intersecting lines intersect at a single point. Is it true or false
A mixture of pecans walnuts, and cashews was in a ratio of 2:31. How much of each type of nut was in her purchase?
equation:
pecans:
walnuts:
cashews:
Answer:
The ratio given cannot be used to find the answer
Help me solve solution to the system of equations.
Answer:
[tex](\frac{5}{3} ;\frac{4}{3} ).[/tex]
Step-by-step explanation:
[tex]\left \{ {{x+y=3} \atop {\frac{y+2}{2} =x}} \right. \ = > \ \left \{ {{x+y=3} \atop {y+2=2x}} \right. \ = > \ \left \{ {{x+y=3} \atop {2x-y=2}} \right. \ = > \ \left \{ {{x=\frac{5}{3} } \atop {y=\frac{4}{3} }} \right.[/tex]
A club plans to sell tote bags. The club members estimate they will sell 100 tote bags when the bags are priced at $11 each. For every price increase of $1, they estimate they will sell 10 fewer bags. What is the estimated revenue, in dollars, when the bags are priced at $13 each?
Answer: The club members estimate that they will sell 100 tote bags when the price is $11 each, and for every price increase of $1, they estimate they will sell 10 fewer bags. If the price increases to $13, then this is a $2 increase from the original price, so we can calculate the number of fewer bags they estimate they will sell:
10 fewer bags per $1 increase * $2 increase = 20 fewer bags
To find the number of bags they estimate they will sell when the price is $13, we can subtract this decrease from the original number of bags they estimate they will sell:
100 bags - 20 fewer bags = 80 bags
To find the revenue in dollars, we can multiply the number of bags they estimate they will sell by the price of the bags:
80 bags * $13 per bag = $1040
So the estimated revenue when the bags are priced at $13 each is $1040
Step-by-step explanation:
Aponi is a member of the Shoshone Native American Indian
tribe. Her name means "butterfly." Aponi uses beads to make
hair barrettes with a butterfly design. The number of beads she
uses is proportional to the number of hair barrettes she makes.
Aponi graphs a line that shows the number of hair barrettes
she makes and the total number of beads she uses. Two
points on the line are (2, 150) and (5, 375).
What does the slope of the line mean in this situation?
O Aponi uses 45 beads to make each hair barrette.
Aponi uses 75 beads to make each hair barrette.
Aponi uses 150 beads to make each hair barrette.
O Aponi uses 225 beads to make each hair barrette.
A line that shows the number of hair barrettes she makes and the total number of beads she uses is y = 75x.
What is the graph's line's equation?In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, you must first determine the slope and y-intercept. The slope is the ratio of the change in y to the change in x. Find two locations on the line, and then draw a sloping triangle joining them.
What is the name for a straight line?A line is a perfectly straight, one-dimensional figure that extends infinity in both directions and has no thickness. To stress that a line has no "wiggles" anywhere along its length, it is sometimes referred to as a straight line or, more archaically, a right line.
Two points on the line are (2, 150) and (5, 375)
y - 150 = ( (375-150) / (5-2) ) (x-2)
y - 150 = 75 (x-2)
y = 75x
Equation of line is y = 75x
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In a school containing 360 children, 198 are girls. What percent of all children are girls? What percent of the children are boys? The number of girls is what percent of the number of boys? The number of boys is what percent of the number of girls?
the number of girls is _____% of the number of boys.
Answer:
1st question :55%
2nd ":122.22%
3rd ":81.82%
PLSS I NEED THIS! Number 4
Answer:
(b) y < x-1; y ≤ -2x+2
Step-by-step explanation:
You want to know the inequalities represented on the graph showing a solid line with negative slope and a y-intercept of 2, and a dashed line with positive slope and a y-intercept of -1, where the shading is below both lines.
Line typeIf the line is included in the solution set (≤ or ≥ is used), the boundary line is graphed as a solid line. If the line is not included in the solution set (< or > is used), the boundary line is graphed as a dashed line.
Here, the line with positive slope is dashed, and the line with negative slope is solid.
y = x -1 . . . . is a line with positive slope
y = -2x +2 . . . . a line with negative slope
ShadingThe shading is below the line for y-values less than those on the line:
y < x -1 . . . . shading below a dashed line with positive slope
y ≤ -2x +2 . . . . shading below a solid line with negative slope
These are the inequalities of interest.
Hey guys can you help me with this math problem I'm stuck
The transformation of function y = |x| is g(x) = f(x + 4) + 2. The equation of transformed graph is y = |x + 4| - 2
What is a function?
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given function is y = |x|.
The vertex is (0,0). The vertex of the transformed function is (-4,-2)
It means the graph is shifted 4 units left sides and 2 unit downward direction.
The graph of f(x) is horizontally shifted by a units on left side then the equation function becomes f(x + a).
The graph of f(x) is horizontally shifted by a units on right side then the equation function becomes f(x - a).
The graph of f(x) is vertically shifted by a units upward then the equation function becomes f(x)+a.
The graph of f(x) is vertically shifted by a unit downward then the equation function becomes f(x)-a.
The equation of the transformed equation is g(x) = f(x + 4) - 2
g(x) = |x + 4| -2
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Which step is not necessary when solving this system of equations by graphing?
Identify the point of intersection.
Choose a method to graph the equations.
Determine the shaded area for each line.
Write the solution as an ordered pair.
Not necessary when solving this system of equations by graphing is
to determine the shaded area for each line. The correct option is C.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.
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what percent of 50 is 25 with solution
Answer:
50%
What is a percentage?A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
Looking at the problem, we can take 25, and divide 50 by it.
25 ÷ 50 = 0.5
0.5 is equal to 5/10, which is also equal to 50%, meaning that 50% of 50 is 25.
A system of equations is graphed on the coordinate plane.
y=−x+5
y=2x−1
What is the solution to the system of equations? Enter the coordinates of the solution
The solution to the system of equation shown in the graph is (2, 3)
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Given the equation:
y=−x+5 (1)
y=2x−1 (2)
Solving by elimination method. Subtract equation 2 from 1:
0 = -3x + 6
x = 2
Put x = 2 in eqn 1:
y = -(2) + 5 = 3
The solution is (2, 3)
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Through (-2,-1) and perpendicular to the graph of F(x) - 1/5x + 1 ( function notation)
The equation of line that passes through (-2,-1) and is perpendicular to f(x) = (-1/5)x + 1 is f(x) = 5x + 9.
What is the equation of line that passes through the given point and is perpendicular to f(x) = (-1/5)x + 1?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the graph
f(x) = (-1/5)x + 1
Using the slope intercept, slope m is -1/5
The equation of a perpendicular line to f(x) = (-1/5)x + 1 must have a slope that is the negative reciprocal of the graph.
Slope of perpendicular line = -1 / (-1/5)
Slope of perpendicular line = 5
Plug the slope m = 5 and point (-2,-1) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - (-1) ) = 5( x - (-2) )
( y + 1 ) = 5( x + 2 )
y + 1 = 5x + 10
y = 5x + 10 - 1
y = 5x + 9
f(x) = 5x + 9
Therefore, the equation of the perpendicular line is f(x) = 5x + 9.
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An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup?
The volume of each drinking cup is 7.9 cubic inches.
What is the volume?An office uses paper drinking cups in the shape of a cone, with dimensions as shown.
The formula provides the volume of a cone.
V = (1/3) * π * r² * h.
We can find the solution by entering the already-known data into the formula.
d = 2.75 m.
Since radius is half of d, we can say
0.5 * 2.75 = 1.375 in.
4 inches is listed as the height.
The result of plugging all of them into the original formula is:
V = (1/3) * π(1.375)² (4) = 7.9
Our final response, rounded to the closest tenth, is:
V = 7.9 cubic inches.
The volume of each drinking cup is 7.9 cubic inches.
The complete question is An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup?
d = 2.75 m.
h = 4
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The graph below represents the linear equation y = 1/2x - 3.
A second linear equation is represented by the data in the table.
x | y
-1 | 1
0 | 0
2 | -2
3 | -3
What is the solution to the system of equations?
A) (-2, -4)
B) (1, -1)
C) (2, -2)
D) (4, -4)
Answer:
(2,-2)
Step-by-step explanation:
The answer is the intercept point of both lines, so we need to find the point when both the line touches, with out graphing we can see by the table that point (2, -2) intercepts with the line on the graph.
hope this helps :)
Answer:
C) (2, -2)--------------------------
From the table we see each y-coordinate is the negative of the corresponding x-coordinate. It gives us the second line:
y = - xThe first line is given y = 1/2x - 3, equate both to get:
- x = 1/2x - 3-2x = x - 6x + 2x = 63x = 6x = 2Then the value of y:
y = - x = - 2The solution is (2, - 2).
A house 20 meters long and 15 meters wide is surrounded by a verandah of uniform width of 3 meters. Find the cost of the flooring the verandah at RS 200 per square meter
Answer:
49200 rs. so the cost of flooring =246*200=49200 rs
Step-by-step explanation:
we measure the area of veranda by taking width in addition of length and breadth- house area
it means
area of veranda =outer rectangle-inner rectangle
⇒area= (20+3+3)*(15+3+3)-20*15
⇒area=26*21-300
⇒area= 546-300
⇒area=246 m²
Hence , the cost of flooring =246*200=49200 rs.
A flexible metamateria/ is developed for use in robotics and prosthetics. A block of metamaterial is in the shape of a cube with a surface area of 600 square centimeters. What is the edge length of the block of metamaterial?
The edge of a block of metamaterial is 10 centimeters.
What is surface area of a cube?The surface area of the cube all six faces of the cube are made up of squares of the same dimensions then the total surface area of the cube will be the surface area of one face added six times to itself. The formula to find the surface area of a cube is 6a², where a is edge.
Given that, a block of metamaterial is in the shape of a cube with a surface area of 600 square centimeters.
Here, 6a²=600
a²=100
a=10 centimeters
Therefore, the edge of a block of metamaterial is 10 centimeters.
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Cardi B uses 1/2 cup of sugar to make 4 1/3 batches of brownies. How much sugar is required to make each batch of brownies?
The sugar required to make each batch of brownies is 3/26 cups
How to determine how much sugar is required to make each batch of brownies?From the question, we have the following parameters that can be used in our computation:
Brownies = 4 1/3 batches
Sugar = 1/2 cups
The amount of sugar required to make each batch of brownies is then calculated as
Sugar needed = Sugar/Brownies
Substitute the known values in the above equation, so, we have the following representation
Sugar needed = (1/2)/(4 1/3)
Evaluate
Sugar needed = 3/26
Hence, the amount is 3/26 cups
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How many whole months will it take for a motorbike valued at £2550 to depreciate to less than £1200 if depreciation is at a rate of 5% per month?
It will take roughly 15.7 months to drop in value to less than £1200 if the current value of the bike is £2550.
How to find the present value of bike?You can use the following formula to calculate how many months it will take for a motorbike with a value of £2550 value to drop to under £1200:
n = (1200 - 2550) ln / ln (1 - 0.05)
Where 0.05 denotes the 5% monthly depreciation rate, ln is indeed the natural logarithm function, and n refers to the number of months.
When we enter the values, we will get:
n = (1200 - 2550 - 1 - 0.05) / ln(1 - 0.05) = about 15.7 months
The motorcycle will take approximately 15.7 months to drop in value to less than £1200.
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5x -2y = 1, ax -6y = b
whet are the values of a and b such that the equations have no solutions?
The system of equations will have no solutions if the two lines are parallel, then one example can be:
5x - 2y = 1
15x - 6y = 0
For which values of a and b the system has no solutions?Here we have the following system of equations:
5x - 2y = 1
a*x - 6y = b
The system will have no solutions only if the two equations are parallel. You can see that the coefficient of y on the second equation is 3 times the coefficient on the first equation.
Then a should also be 3 times the coefficient of x on the first equation:
a = 3*5
a = 15
And b should be any number but 3 times the constant on the other equation:
b ≠ 3*1
So we can take b = 0, for example.
So the system with no solutions will be:
5x - 2y = 1
15x - 6y = 0
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