The probability of an event is a number from 0 to 1 that measures the chance that an event will occur. In this lesson, we will look into experimental probability and theoretical probability.
The following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.
he following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.
Experimental vs Theoretical Probability
How to find the Experimental Probability of an event?
Step 1: Conduct an experiment and record the number of times the event occurs and the number of times the activity is performed.
Step 2: Divide the two numbers to obtain the Experimental Probability
How to find the Theoretical Probability of an event?
The Theoretical Probability of an event is the number of ways the event can occur (favorable outcomes) divided by the number of total outcomes.
Without solving, determine whether the equation has one solution, no solution, or infinitely many solutions. 6x+6=6(x+1)
Answer:
Infinite Solutions
Step-by-step explanation:
6x+6=6(x+1)
6x+6=6x+6
If both sides of the equations are equal, it will ALWAYS be infinite solutions:)
Answer:
Infinite solutions.
Step-by-step explanation:
You have to distribute the 6 to the x and the 1. You'll then realize that both sides have 6x+6, and since 6x-6x=0 and 6-6=0, If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.
HELP ME PLEASE!
Delbert needs to mix a 20% acid solution with a 50% acid solution to create
100 milliliters of a 26 % solution. How many millileters of each solution must Delbert use?
Answer: Delbert must mix
_____ milliliters of the
20% solution and
_____ milliliters of the 50% solution.
Answer:
Step-by-step explanation:
26% is (26-20)/(50-20) = 6/30 = 1/5 of the way between 20% and 50%. That means 1/5 of the solution is 50% acid.
50% acid: 1/5 · 100 mL = 20 mL
20% acid: 100 mL -20 mL = 80 mL
Delbert must mix 80 mL of 20% acid and 20 mL of 50% acid.
_____
Maybe you'd like to see an equation. Let x represent the amount of 50% acid required. Then 100-x is the amount of 20% acid needed. The amount of acid in the mix is ...
0.50(x) +0.20(100 -x) = 0.26(100)
(0.50 -0.20)x = (0.26 -0.20)100 . . . . subtract 0.20(100)
x = (0.26 -0.20)/(0.50 -0.20)×100 = 20
This last expression should look a lot like the one we started with in this answer. It shows you how you can almost write down the answer to mixture problems without a lot of work.
What is an equation of the line that’s passes through the the point (-6,-6) and is parallel to the line x-3y=18
Answer:
y = 1/3x -4
Step-by-step explanation:
solve x-3y=18 for y
3y=x-18
divided both by 3 so y = 1/3x - 6
The parallel line has the same slope so you have to find the y-intercept of the line passing through (-6,-6)
so y = 1/3x -4
- 32x - 40
What is the first step that I should do
I take it that you're trying to solve for the variable (x), so by using the order of operations (PEMDAS), the first step is to add 40 to both sides of the equation as addition cancels out subtraction.
[tex] - 32x - 40 = 0[/tex]
[tex] - 32x = 40[/tex]
From there you will divide by -32 and simply the fraction.
[tex]x = - \frac {40}{32} [/tex]
[tex]x = - \frac{5}{4} [/tex]
I hope this helps, but please let me know if this is not what you're trying to do.
Find k so that the line through(k-1,k+2) and (4,-1) is perpendicular to the line through (-3,2) and (2,5).
Answer:
k = 2
Step-by-step explanation:
Perpendicular lines have slopes opposite reciprocalFormula to find a slope:
m = (y₂-y₁)/(x₂-x₁)Coordinates of the first line:
(k-1, k+2) and (4, -1)Coordinates of the second line:
(-3, 2) and (2, 5)Slopes of the lines:
m₁ = (-1 - k -2)/(4 - k + 1) = - (k + 3)/-(k -5) = (k + 3)/ (k - 5)m₂ = (5 - 2)/ (2 + 3) = 3/5Since m₁ = - 1/m₂, we have:
(k + 3)/ (k - 5) = - 5/33(k + 3) = -5(k - 5)3k + 9 = - 5k + 253k + 5k = 25 - 98k = 16k = 2So the answer is 2
What’s the distance between (6,4) , (-5,-1) round to the nearest ten
Answer:
The answer is
12.1 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(6,4) and (-5,-1)
The distance between them is
[tex]d = \sqrt{ ({6 + 5})^{2} + ( {4 + 1})^{2} } \\ = \sqrt{ {11}^{2} + {5}^{2} } \\ = \sqrt{121 + 25} \\ = \sqrt{146} \\ \: \: \: \: \: \: \: \: \: \: \: = 12.0830459[/tex]
We have the final answer as
12.1 units to the nearest tenthHope this helps
Dan earns £400 over the course of a five-day week. How much is that per day?
Answer:
80
Step-by-step explanation:
Answer:
80 dollars a day
Step-by-step explanation:
400 divided by 5
= 80
hope this helps
Find (fog)(x). f(x) = 2x
g(x) = x + 6
write your answer as a polynomial in simplest form.
(f•g)(x)=
Answer: (f•g)(x)=2x²+12x
Step-by-step explanation:
(f•g)(x) is the same as saying f(x)•g(x). Since we have f(x) and g(x), we can just multiply them together.
(f•g)(x)=2x(x+6) [distribute by FOIL]
(f•g)(x)=2x²+12x
Now, we know that (f•g)(x)=2x²+12x.
What is 4,672.183 rounded to the nearest hundredth?
Answer:
The correct answer is 4,672.18.
Step-by-step explanation:
To solve this problem, we must look at the number we are given and determine what numbers are in which places. The 4 is in the thousands place, the 6 is in the hundreds place, the 7 is in the tens place, the 2 is in the ones place, the 1 is in the tenths place, the 8 is in the hundredths place, and the 3 is in the thousandths place.
The question asks us to round to the nearest hundredth, so this means that the number in the hundredths place should be the final digit. In the number given, the number 8 is in the hundredths place. Since the following digit (3) is less than 5, we round down and keep the 8 in the hundredths place. This makes our answer 4,672.18.
Hope this helps!
Find the inverse of the function
F(x) = 5x + 10
F -1 (x) = ?
can you help meew pleasee due in 5 minnn
Answer:
It's D: 3x - 12 ≤ 8x + 13
Step-by-step explanation:
The first step in this inequality is to take out the parentheses so you multiply 3 by x and -4.
write another name for < 5
Answer:
less than 5
x < 5
Consider a related scenario where you can invest $2000 in a savings account that has either a simple interest rate of 4.5% per year or $2000 at a compound interest rate of 4% per year.
Answer:
This is a multy step problem fist use cubes an then do the other steps
Step-by-step explanation:
What value of x makes the equation true 4x = 32?
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
[tex]4x=32[/tex]
[tex]4\times x =32[/tex]
Divide both sides by 4:
[tex]\frac{4\times x}{4}=\frac{32}{4}[/tex]
[tex]x=8[/tex]
Answer:
x=8
Step-by-step explanation:
what is 7 divided by -14
The formula for the volume of a cylinder is V = 2trh. Solve the formula for h.
Answer:
V/(2tr)=h
I think, its been a while since i had to do a problem like this
Some triangles are drawn on squared paper. Which 3 triangles are congruent to one another?
Answer:
There are not 3 but only 2. The answer is below!
ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation:
Answer: a, d, e
Step-by-step explanation:
Which are vertical angels?
Answer:
Those angles are in opposite either in vertical or horizontal. They are opposite angles
if someone weighs five times as much as someone else and the total weight of the two people is 132 pounds how much does each person weight
Answer:
The heavier person weighs 110 pounds, and the lighter person weighs 22 pounds.
Step-by-step explanation:
Let the weight of the lighter person be 1 unit.
The weight of the heavier person will be [tex]1\times 5=5u[/tex]
Total weight: [tex]1u+5u=6u[/tex]
6 units = 132
Divide 6:
[tex]1u=\frac{132}{6}[/tex]
[tex]1u=22[/tex]
The weight of the lighter person is 22 pounds.
Weight of the heavier person [tex]= 5\times 22=110[/tex]
The weight of the heavier person is 110 pounds.
Step-by-step explanation:
someone= 5x
someone + x= 132
5x + x = 132
6X=132
x=22
One person ("someone") weighs x× 5 = 110.
the other person ("x) weighs x = 22
Simplify: -7 -(-3)
Sometimes help me
ALOT OF POINTSALOT OF POINTS ALOT OF POINTS ALOT OF POINTS ALOT OF POINTS The graph shows the motion of a train on a railroad. Which statement describing the motion of the train is best supported by the graph? Math item stem image CLEAR CHECK The train is traveling on a level surface. The train is moving at a constant positive speed. The train is not moving. The train track is straight.
Answer:
Step-by-step explanation:
2,3
Answer:
The train is moving at a constant positive speed.
Hope this helped :)
Lucy is going to the grocery store. She will buy 5 items. Every item she will buy is $2. Afterward, she will buy herself a milk shake for $3. How much will she spend at the store?
Answer:
13 dollars
Step-by-step explanation:
5 x 2= 10+3=13
Mathmatics 8th grade
Answer:
f or 2 meters is the correct answer
Step-by-step explanation:
Answer:
2.8
Step-by-step explanation:
2.8*2.8=7.84. 2.8 is the closest to the length of one side of the square.
a. The formula F=95(K−273.15)+32 converts a temperature from Kelvin K to Fahrenheit F. Solve the formula for K.
K= this is solved
b. Convert 240∘ F to Kelvin K. Round your answer to the nearest hundredth.
240∘F ≈ __ Kelvin
The value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.
How to convert a temperature from Kelvin?The formula to convert a temperature from Kelvin K to Fahrenheit F is,
[tex]F=95(K-273.15)+32[/tex]
Here, K is Kelvin and F is Fahrenheit.
Solve the formula for K in the following way,
[tex]F=95(K-273.15)+32[/tex]
Subtract 32 both side,
[tex]F-32=95(K-273.15)+32-32\\F-32=95(K-273.15)[/tex]
Divide, with 95, both side of equation,
[tex]\dfrac{F-32}{95}=(K-273.15)\\\dfrac{F-32}{95}=K-273.15\\\dfrac{F-32}{95}+273.15=K[/tex]
This is the solved equation for K.
To convert 240∘ F to Kelvin K, put the value in the formula given in above equation,
[tex]\dfrac{F-32}{95}+273.15=K\\\dfrac{240-32}{95}+273.15=K\\\dfrac{208}{95}+273.15=K\\2.12+273.15=K\\275.27=K\\K\approx 275[/tex]
Thus, the value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.
Learn more about the temperature measurement here;
https://brainly.com/question/4735135
#SPJ2
Answer:
240° ≈ 388.71K
Step-by-step explanation:
240° ≈ 388.71 K
HELP ME PLZ, I GIVE BRAINLIEST TO THE PERSON WHO GET'S IT RIGHT
Step-by-step explanation:
Formula used:
[tex] {a}^{m} . {b}^{m} = (a \times b)^{m} \\ \\ [/tex]
[tex] {3}^{5} . {4}^{5} \\ = (3 \times 4) ^{5} \\ = {12}^{5} \\ [/tex]
So, Haley is incorrect.
plz can some answer it will be appreciated
Answer:
22 cm
Step-by-step explanation:
A hexagon has six sides. Since it is a regular hexagon, all of the sides have equal length, so we can multiply the length of one side, 3.6 by 6 to get the perimeter. 3.6 x 6 = 21.6. To the nearest centimeter, the upper bound is 22.
Predict how much money can be saved without having a negative actual net income. Monthly Budget Budgeted Amount Actual Amount Income Wages $1025 $675 Expenses Rent Utilities Food Cell Phone Savings $300 $100 $175 $75 $300 $300 $100 $200 $75 $____ Net Income $75 $____ a. It is not possible to save any money this month without having a negative actual net income. b. $350 can be saved resulting in an actual net income of $0. c. $200 can be saved resulting in an actual net income of $75. d. Because there is a $75 budgeted net income, that $75 can be put towards savings.
Answer:
a. It is not possible to save any money this month without having a negative actual net income.
Step-by-step explanation:
Answer:
Predict how much money can be saved without having a negative actual net income.
a. It is not possible to save any money this month without having a negative actual net income.<<<---CORRECT
b. $350 can be saved resulting in an actual net income of $0.
c. $200 can be saved resulting in an actual net income of $75.
d. Because there is a $75 budgeted net income, that $75 can be put towards savings.
Step-by-step explanation:
See pic. Edge 2021
Describe the 6 ways to transform a function.
show that the angles of an equalateral triangle are 60°each
Answer:
For an equilateral triangle, we know that all 3 sides of the triangle are equal. Accordingly, all the 3 sides of the equilateral triangle hold equal angles.
Since, we know, that the sum of all angles of any triangle be 180° .
Let each angle be a.
Thus,
Hence, we can show that all the 3 angles of an equilateral triangle hold equal angles; i.e. 60°.
Step-by-step explanation:
PLEASE HELP!
Reduce to simplest form.
5/8 - (- 7/2)
Answer:
[tex]\huge\boxed{\sf 4\frac{1}{8} }[/tex]
Step-by-step explanation:
[tex]\sf =\frac{5}{8} - (-\frac{7}{2} )\\\\Rule : ( - *- = +)\\\\\=\frac{5}{8} +\frac{7}{2} \\\\LCM = 8\\\\\=\frac{5+28}{8} \\\\\=\frac{33}{8} \\\\=4\frac{1}{8}[/tex]
[tex]\sf =\frac{5}{8}+ \frac{7}{2} \\\\=\frac{5+28}{8}[/tex]
[tex]\sf =\frac{33}{8} \\\\=4\frac{1}{8}[/tex]
Hope this helped!
~AnonymousHelper1807