If the probability of an event is 0, it is impossible to happen, in contrast to an event with a probability of 1, which is certain to happen. Probability is measured between 0 (impossible event) and 1 (certain event), with a familiar example being a coin flip where each outcome (heads or tails) has an equal probability of 0.5.
If the probability of a chance event is 0, it is impossible for it to happen when compared to a chance event with a probability of 1, which is certain to happen. The concept of probability is expressed as a number between zero and one, inclusive. An event with a probability of 0 is not expected to happen at all, while an event with a probability of 1 is considered an absolute certainty. In contrast, if two events are mutually exclusive, the probability that they both happen at the same time is zero (P(A AND B) = 0). A familiar example involving probability is flipping a fair coin, where there's a 1/2 chance of getting heads, meaning that the outcome of getting either heads or tails are equally likely; each has a probability of 0.5.
c=4h+9f +4p solve for F
Answer:
the answer to your question will be f = c/9 - 4h/9 - 4p/9
Step-by-step explanation:
as much as I would like to, I'm really not that great at explaining things
find the area of the kite.
area = _[tex]m^{2}[/tex]
Answer:
24 m^2
Step-by-step explanation:
The area of a kite is the product of the diagonals divided by 2.
If the diagonals have lengths a and b, then area = ab/2
area = ab/2
a = horizontal diagonal = 2 m + 6 m = 8 m
b = vertical diagonal = 3 m + 3 m = 6 m
area = (8 m)(6 m)/2 = (48 m^2)/2 = 24 m^2
The expression (5 + 3) - (3 + 7) is a
sum.
product.
difference.
Answer:
DIFFERENCE
Step-by-step explanation:
It is a difference because you are subtracting or finding the difference between 5+3 and 3+7.
A 10 foot ladder is placed 4-feet from the edge of a building. How far up the building does the ladder reach? Round your answer to the nearest tenth of a foot.
A:10.8 feet
B:9.2 feet
C:2.4 feet
D:3.7 feet
The ladder is 9.2 feet up the building
The length (L) of the ladder is given as:
[tex]L = 10ft[/tex]
The distance (d) from the edge of the building is
[tex]d = 4ft[/tex]
The distance up the ladder is the height (h) of the ladder on the wall.
This is calculated using the following Pythagoras theorem
[tex]L^2 = d^2 + h^2[/tex]
So, we have:
[tex]10^2 = 4^2 + h^2[/tex]
Evaluate the exponents
[tex]100 = 16 + h^2[/tex]
Subtract 16 from both sides
[tex]84 = h^2[/tex]
Take square roots of both sides
[tex]9.2 = h[/tex]
Rewrite as
[tex]h =9.2[/tex]
Hence, the ladder is 9.2 feet up the building
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Allan is ordering a set of rational numbers that includes positive values, negative values , fractions , and decimal numbers . How can he order them ?
Answer:
Allan can order them from least to greatest.
Step-by-step explanation:
Answer:
First, Allan should write the fractions as decimals by dividing the numerator by the denominator. Then he can plot the points on the number line. Reading the plotted points from left to right gives the points in order, from least to greatest.
Step-by-step explanation:
Please help me on this question ASAP :)
Answer:
x=12, y=4
x=3, y=1
x=18, y=6
Step-by-step explanation:
To solve for x in the given table, you can plug in the values x into the rule and solve for y.
the solid below is made from 1 yard cubes. find it's surface area
Answer:
surface area = 28 yard²
Step-by-step explanation:
given data
1 unit length of cube = 1 yd
solution
As given image shown that rectangular solid has length 5 units, width 2 units, and height 2 units.
so we get here surface area that is we get by area of each of its faces
we can see three face are
A front = L × W = 2 × 2 = 4
A side = L × W = 5 × 2 = 10
A top = L × W = 5 × 2 = 10
so here
surface area = ( front + back ) + ( left side + right side ) + ( top + bottom ) ................1
surface area = ( 2 × front ) + ( 2 × left side ) + ( 2 × top )
surface area = ( 2 × 4 ) + ( 2 × 10 ) + ( 2 × 10 )
surface area = 8 + 20 + 20
surface area = 28 yard²
YO PLEASEEE HELP ASAP !!!!
What is the factored form of this quadratic trinomial?
x2 − x − 42
A. (x + 6)(x − 7)
B. (x + 14)(x − 3)
C. (x − 6)(x + 7)
D. (x − 14)(x + 3)
Answer:
The answer is A. (x+6)(x−7)
Step-by-step explanation:
I used a calculator.
Answer:
other person is right...
Step-by-step explanation:
its right on plato/edmentum though.
Rectangle QUAD has coordinates Q(4,5), U(4,10), A(11,10), and D(11,5). Upper Q prime Upper U prime Upper A prime Upper D primeQ′U′A′D′ is the image of QUAD after a dilation with center (0,0) and scale factor 5. What is the length of segment Upper Q prime Upper U primeQ′U′?
Answer:
25
Step-by-step explanation:
Answer: 25
find the length of segment QU.
First, we must find out what the coordinates are.
Q=(4,5) U=(4,10)
Then, Setup your equation by making the first coordinate pair equal. So,
Q= (4,5) would now equal Q=(5,5). That means we added 1. (when you add x ((x=the number you add to make equal)) you add x to the other side as well)
So, now we would add 1 (or how many you got) to U. Thus,
U=(4,10) would now equal Q=(5,10).
Next, set up the equation.
[tex]\sqrt{(Q)^{2} +(U)^{2}[/tex] (Q=(5,5) and U=(5,10).)
* You will now be subtracting the coordinates so, Q=(5-5) and U=(5-10)*
Next, Substitute the equation.
[tex]\sqrt{(5-5^{2} +(5-10)^{2}[/tex]
After, we solve.
[tex]\sqrt{0^{2} +(5-10)^{2}[/tex]
*the sum of two opposites equals 0. 5-5=0*
Next, Subtract (5-10).
[tex]\sqrt{0^{2} +(-5)^{2}[/tex]
Next, 0 raised to any positive power equals 0
[tex]\sqrt{0+(-5)^{2}[/tex]
Next, When adding or subtracting 0, the quantity does not change.
[tex]\sqrt{(-5)^{2}[/tex]
Next, Reduce the index of the radical and exponent 2.
[tex]|-5| = 5[/tex]
So, The length of segment is 5.
Now, find the length of segment Upper Q'U', multiply the length of segment QU by the scale factor.
scale factor in this equation is 5.
Now, multiply.
5·5 = 25
So, the length of segment Q'U' is 25.
The length of segment Q'U' after the dilation with a scale factor of 5 is 25 units.
To find the length of segment Q'U' after the dilation with a scale factor of 5, we can calculate it step by step:
1. Calculate the new coordinates of Q' and U' after the dilation with a scale factor of 5 and center (0,0):
Q' coordinates: (4 5, 5 5) = (20, 25)
U' coordinates: (4 5, 10 5) = (20, 50)
2. Determine the distance between Q' and U' using the distance formula:
- Horizontal distance: 20 - 20 = 0
- Vertical distance: 50 - 25 = 25
3. Calculate the length of segment
using the Pythagorean theorem:
- Length = sqrt(0^2 + 25^2)
- Length = sqrt(0 + 625)
- Length = sqrt(625)
- Length = 25 units
Therefore, the length of segment Q'U' after the dilation with a scale factor of 5 is 25 units.
PLEASE HELP
Answer as a decimal with four decimal places
2.5x0.3 =
(0.3 is a repeating fraction)
Answer: 0.8333
Step-by-step explanation:
No solution 4x+2=4x+
Answer:
Any positive number will make this true.
Some answers it can be:
4x=2=4x+5
4x+2=4x+3
The list of all factors for 32 is 1,2,4,8, and 32.
True or False
Answer:
False
Step-by-step explanation:
The list of all the factors of 32 is 1, 2, 4, 8, 16, and 32
The speed of a boat in still water is 24 mph. It goes 15 miles downstream and comes back in 80 minutes. What is the speed of the stream? *
The problem involves calculating the speed of the current in a river using the given data: the speed of a boat in still water, the distance traveled downstream and upstream, and the total time taken. An application of the concept of relative speed helps solve the problem by setting up an equation reflecting the speeds during the downstream and upstream runs, then solving for the speed of the current.
Explanation:The problem demonstrates an application of relative speed in the context of a boat moving in a stream. Let's denote the speed of the boat by 'b', the speed of the stream by 's', the time taken to move downstream by 't1', and the time taken to move upstream by 't2'. The speed of the boat in still water is given as 24 mph.
When moving downstream, the boat and the stream are going in the same direction, so their speeds add up: the actual speed will be b+s (24 mph + s). On the other hand, when moving upstream, the boat is going against the stream, so the actual speed is b-s (24 mph - s).
The total time taken to go 15 miles downstream and return is 80 minutes or 4/3 hours. Therefore, using the formula for time (time = distance/speed), we can set up the following equation: 15/(24+s) + 15/(24-s) = 4/3
Solving this equation will give us the value of 's', which represents the speed of the stream.
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The speed of the stream is 6mph.
To find the speed of the stream, we can use the concept of relative speed.
When the boat is going downstream (with the current), the effective speed is increased by the speed of the stream. So, the effective speed downstream is v + s
When the boat is going upstream (against the current), the effective speed is decreased by the speed of the stream. So, the effective speed upstream is V- s
1. Time taken downstream
[tex]\[ t_d = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v + s} \][/tex]
2. Time taken upstream
[tex]\[ t_u = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v - s} \][/tex]
3. Total time for the round trip
The total time taken for the round trip is the sum of the time taken downstream and upstream.
[tex]\[ \frac{15}{v + s} + \frac{15}{v - s} = \frac{80}{60} \] (converted minutes to hours)[/tex]
Now, let's substitute v = 24 into the equations and solve for \( s \), the speed of the stream.
Once we have s we can find the speed of the stream.
[tex]\[ \frac{15}{24 + s} + \frac{15}{24 - s} = \frac{4}{3} \][/tex]
Multiplying both sides of the equation by ( (24 + s)(24 - s) to clear the denominators:
[tex]\[ 15(24 - s) + 15(24 + s) = \frac{4}{3}(24 + s)(24 - s) \][/tex]
Taking the square root of both sides:
s= 6
Therefore, the speed of the stream is 6 mph.
A normal distribution has a mean of 186.4 and a standard deviation of 48.9.
What range of values represents the upper 2.5% of the data?
a
X > 235.3
b
X > 333.1
c
X > 284.2
d
X > 186.4
We have been given that a normal distribution has a mean of 186.4 and a standard deviation of 48.9. We are asked to find the range of value that represents the upper 2.5% of the data.
We know that upper 2.5% of data would be 97.5% of data.
We will use z-score formula to solve our given problem.
[tex]z=\frac{x-\mu}{\sigma}[/tex], where,
z = z-score,
x = Random sample score,
[tex]\mu[/tex] = Mean,
[tex]\sigma[/tex] = Standard deviation.
Now we will use normal distribution table to find z-score corresponding to 97.5% area or 0.975.
We can see from the normal distribution table that z-score corresponding to area 0.975 is [tex]1.96[/tex].
[tex]1.96=\frac{x-186.4}{48.9}[/tex]
Let us solve for x.
[tex]1.96\cdot 48.9=\frac{x-186.4}{48.9}\cdot 48.9[/tex]
[tex]95.844=x-186.4[/tex]
[tex]95.844+186.4=x-186.4+186.4[/tex]
[tex]282.244=x[/tex]
Therefore, the range [tex]x>282.244[/tex] represents the upper 2.5% of the data.
Which is the graph of f(x) = -(x + 3)(x + 1)?
Answer:
Step-by-step explanation:
Setting f(x) = -(x + 3)(x + 1) = 0 leads to identifying two roots/solutions of this equation: x = -3 and x = -1. The axis of symmetry is a vertical line halfway between these two roots: x = -2. This x = -2 is also the x-coordinate of the vertex. Evaluating f(x) = -(x + 3)(x + 1) at x = -2 gives us the y-coordinate of the vertex: y = -(-2 + 3)(-2 + 1) = -(1)(-1) = 1.
In summary, the vertex is at (-2, 1) and the two x-intercepts are (-3, 0) and (-1, 0). The y-intercept is found by setting x = 0 and finding y:
f(0) = -(0 + 3)(0 + 1) = -3, or (0, -3)
Next time, please share the answer choices. Thank you.
Answer:
B
Step-by-step explanation:
Edge 2021
Which functions have real zeros at 1 and 4? Check all that apply.
Answer:
B, D
Step-by-step explanation:
These are the correct answers.
Answer:
B. f(x) = x2 – 5x + 4
D. f(x) = –2x2 + 10x – 8
Step-by-step explanation:
guy above me is right
Florist ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. which shows the correct equation and value of x, the distance of 1 lap around the path at the park?
Answer:
.9167 miles per lap
Step-by-step explanation:
3.6 miles total-1.2 miles walked= 4.4 miles in laps
4.4 miles=4.8 laps
we are solving for miles per lap, so we divide 4.4m/4.8l
Answer:
The correct answer is D.
Step-by-step explanation:
Can someone please help me on this?
Answer:
D just did it your welcome
Step-by-step explanation:
What is the probability that the product of two dice is greater than
15 on two separate rolls?
Answer:
25/324
Step-by-step explanation:
Make a table of possible products:
[tex]\left[\begin{array}{ccccccc}&1&2&3&4&5&6\\1&1&2&3&4&5&6\\2&2&4&6&8&10&12\\3&3&6&9&12&15&18\\4&4&8&12&16&20&24\\5&5&10&15&20&25&30\\6&6&12&18&24&30&36\end{array}\right][/tex]
Of the 36 results, 10 are greater than 15.
The probability the product is greater than 15 on a single roll is 10/36 = 5/18.
The probability the product is greater than 15 on two rolls is (5/18)² = 25/324.
What are the measures of those two angles? I’ll mark brainliest!
Answer:
Two angles of a quadrilateral : 220 and 90 deg.
The other two angles (x and y) are in ratio 2:3.
We have:
x + y = 360 - 220 - 90 = 50 (property of sum of 4 angles in quadrilateral)
x/y = 2/3 => x = 2y/3
=>2y/3 + y = 50
=> 5y/3 =50
=> 5y = 150
=> y = 30
=> x = 2 x 30/3 = 20
=> Two other angles are 20 and 30 deg
Hope this helps!
:)
The list of multiples for 6 is infinite.
True or False?
Answer:
True
Step-by-step explanation:
As there are infinite numbers, the list of multiples are also infinite.
Multiples of 6 : 6, 12 , 18 , 24 ..............
Answer:
True; yes.
Step-by-step explanation:
Think about it, what does etc, etc mean? It means repetitive-a pattern, in a sort of way. So here are some multiples of 6:
6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120,126,132,138,144,150,156,162,168,174,180,186,192,198,204,210,216,222,228,234,240,246,252,258,264,270,276,282,288,294, etc.
As you can see, all I'm doing is adding 6 to every step I go. So when you say there is an infinite number, then these multiples are going to be infinite.
A ladder is leaning against the side of a 10 meter house if the base of the ladder is 3 meter away from house how tall is the ladder?
Answer:
Depth A trough is 12 feet long and 3 feet across the top (see figure). ... 3 8 25. Moving Ladder A ladder 25 feet long is leaning against the wall of a house (see figure). The base of the ladder is pulled away from the wall at a rate of 2 feet per second. ... Construction A construction worker pulls a five-meter plank up the side of a ...
Step-by-step explanation:
Which Venn diagram is NOT correct?
There is no picture how do I help
Find the surface area.
24 yd
15 yd
15 yd
+13 yd
15 yd
The surface area of the figure in square yards is 1275 square yards
Surface area of a prismThe surface area of a figure is the tota sum of all the area of the faces.
For the given diagram, it consist of 2 triangles and 3 rectangles
Area of the figure = 3(24 * 15) + (13* 15)
Surfacea area = 3(360) + 195
Surface area = 1080 + 195
Surface area = 1275 square yards
Hence the surface area of the figure in square yards is 1275 square yards
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The expression x2 – 12x + 36 factors to (x - )^2
Answer:
(x-6)^2
Step-by-step explanation:
x^2-12x+36
=(x-6)(x-6)
=(x-6)^2
Easy Question, Easy Points
Topic: Volume
Focus on question 12
Answer:
V = 0.6 m.
Step-by-step explanation:
Volume = l x w x h
in this case if you input the cube's values its volume = 1 m and 1 - 0.4 = 0.6m
Please mark as brainliest :)
Answer:
V=.6m
Step-by-step explanation:
Please mark as brainliest
solve for A A/20 = 7
Answer:
A = 140
Step-by-step explanation:
Answer:
in my opinion the answer is A=140
Step-by-step explanation:
22.2, -0.2, 2.02 smallest to largest
Answer:
-0.2, 2.02, 22.2
Explanation:
-0.2 is below zero, 2.02 is 20.18 less than 2.02
y = 200 + 350x , y = 3x When x = 7, which equation has the greater value?
Answer:
y=200+350x
Step-by-step explanation:
3*7=21
200+350*7=2450
What is the range of possible sizes for side xxx? < x <
According to the theory of the Triangle Inequality, so, the total of the 2 sides of the triangle must be larger than the length of the third side. Therefore, the possible length of a triangle is given by the difference of two sides x the sum of two sides.
Therefore,
[tex]\to 4.3-2.1< x <4.3+2.1 \\\\\to 2.2< x <6.4 \\\\[/tex]
So, the final answer is "[tex]2.2<x<6.4[/tex]" which is the possible length of x.
Learn more:
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The range of possible sizes for side 'x' is from 1.5 to 4.5, inclusive of both endpoints.
Explanation:The question "What is the range of possible sizes for side xxx?" refers to finding the possible values that the variable 'x' can take. From the information provided, we understand that 'x' can be any number in the inclusive range from 1.5 to 4.5, which can be denoted mathematically as 1.5 ≤ x ≤ 4.5. This means that the smallest value 'x' can be is 1.5, and the largest value is 4.5. The range of possible sizes for 'x' is therefore between 1.5 and 4.5, including both of these endpoints.