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.
A square patio has an area of 135 square feet.How ling is each side of the patio to the nearest tenth?
Answer:
[tex]\boxed {\tt 11.6 \ feet}[/tex]
Step-by-step explanation:
The area of a square can be found using the following formula.
[tex]A=s^2[/tex]
We know the area of the patio is 135 square feet. Substitute 135 ft² in for A.
[tex]135 \ ft^2=s^2[/tex]
We want to find the side length. We must isolate the variable, [tex]s[/tex]. on one side of the equation.
s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
[tex]\sqrt{135 \ ft^2} =\sqrt{s^2}[/tex]
[tex]\sqrt{135 \ ft^2} =s[/tex]
[tex]11.61895 \ ft =s[/tex]
Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 6 in the tenth place.
[tex]11.6 \ ft \approx s[/tex]
Each side of the patio is about 11.6 feet.
What value of a makes the equation true?
3(a + 1.5) = -1.5
Answers: 2, -2 ,-1 ,1 PLS HELPPO
I need help with math
Answer:
E) |g-540|
Step-by-step explanation:
E) |g-540|
If it weighed a bit over, say 545, you would get |545-540|=|5|=5
If it weight a little under, say 535, you would get |535-540|=|-5|=5
Either way, it tells you how far away from 540 the package is in grams from the desired weight.
I need help on this mathematical equation B is the Midpoint of AC.
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
B is the midpoint of AC so AB = BC.
AB + BC = AC
AB + AB = AC
2(AB) = AC
[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]
Expand:
[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x-6+6=10x+10+6[/tex]
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]18x-10x=10x+16-10x[/tex]
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{16}{8}[/tex]
[tex]x=2[/tex]
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
First, we know that the entire segment adds up to 5(2x+2). In other words:
[tex]AB+BC=5(2x+2)[/tex]
Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:
[tex]AB=BC[/tex]
Since we know that, let's substitute BC for AB in the first equation:
[tex]AB+BC=5(2x+2)\\[/tex]
This is equivalent to:
[tex]AB+AB=5(2x+2)[/tex]
Combine like terms:
[tex]2AB=5(2x+2)[/tex]
And since we know that AB is 3(3x-1), substitute:
[tex]2(3(3x-1))=5(2x+2)[/tex]
Now, solve for x.
Distribute the left side:
[tex]6(3x-1)=5(2x+2)[/tex]
Distribute both sides:
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]x=2[/tex]
So, the value of x is 2.
And we're done!
Notes:
You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:
[tex]AB=BC=3(3(2)-1)=15[/tex]
And the entire length AC is:
[tex]AC=2(15)=30[/tex]
What is 3.680 divided by 7.86??
Answer:
The answer is 0.5 since we are rounding to the tenths place
Answer:
0.47 or 0.468 whichever one is better
Step-by-step explanation:
just divide with a calculator
Factor Completely.
3x^2-75
Answer:
3(x+5)(x−5)
Step-by-step explanation:
Answer:
3(x - 5) x (x + 5)
^
multiplication sign btw
Step-by-step explanation:
3(x^2 - 25)
3(x - 5) x (x+5)
hope it helped
brainliest is appreciated
Name the sets of numbers to which each number belongs
Find the distance between the points (4,10) and (0,0) the answer must be a whole number
Answer:
d = [tex]2\sqrt{29}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(0-4)^2+(0-10)^2}\\d= \sqrt{(-4)^2+(-10)^2}\\d= \sqrt{16+100}\\d= \sqrt{116}\\d=2 \sqrt{29}[/tex]
a cookie recipe calls for 2/3 cup of brown sugar. sarah is making 1/4 of the recipe. how much brown sugar will she need
Answer:
She will need 1/6 of a cup of sugar to make 1/4 of the recipe.
Step-by-step explanation:
Write and solve an equation of ratios. On the left side we have the ratio of the fraction of the recipe and on the right that of the amount of sugar in each case:
1 recipe 2/3 cup
------------- = -------------
1/4 recipe x
Cross multiplying gives us:
1x = (1/4)(2/3), or
x =2/12 or 1/6
She will need 1/6 of a up of sugar to make 1/4 of the recipe.
Find the midpoint between each pair of points.
(7,-2) and (-4,2)
Answer:
Midpoint: [tex](\frac{3}{2} ,0 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Step 1: Define variables
x₁ = 7
x₂ = -4
y₁ = -2
y₂ = 2
Step 2: Plug into midpoint formula
[tex](\frac{7-4}{2} ,\frac{-2+2}{2} )[/tex]
Step 3: Simplify/Evaluate
[tex](\frac{3}{2} ,\frac{0}{2} )[/tex]
[tex](\frac{3}{2} ,0 )[/tex]
Mr. Smith is a lawyer who charges the same amount for each hour. He charges $576 for 8 hours of work. How much will he charge for 5 hours?
X square + 5 x + 6
Step-by-step explanation:
We can simplify the polynomial x² + 5x + 6 as (x + 2)(x + 3)
Let me know what are you looking for regarding this polynomial!
Answer:
(x+2)(x+3)
Step-by-step explanation:
x^2+5x+6
x^2+(2+3)x+6
x^2+2x+3x+6
x(x+2)+3(x+2)
(x+2)(x+3)
Write each sentence using mathematical symbols
The quotient of x and 7 is 5 more than three times
Answer:
36
Step-by-step explanation:
so basically thats the answer
What is the exact number of hundreds in 4,575?
Answer:
45
Step-by-step explanation:
3rd from the left and over r considered 100s
find If g(x) = x2 + 2, find g(3). 9 8 11 6
Answer: 11
Step-by-step explanation: replace x for 3 and solve.
Explain why this is not a function
Answer:
because that is equivalent to the not operator
Use the distributive property to find the product
Answer:
14mn-12m
Step-by-step explanation:
Jamine has a half-sheet cake. If she has six friends, how much will each one get?
Answer:
1 12th (1 over 12)
Step-by-step explanation:
If she had a whole cake it would be 1 6th (1 over 6) of the cake. To get the answer for this do fraction for the amount of food then multiply that by 1 as the numerator and the number of people as the denominator (1 over the # of people). Then the fraction you get as your answer from multiplying that is the fraction or answer to your question. Note this only works with these types of questions. I really hope this helps.
Which equation represents a line that is parallel to y = -4x + 3 and passes through the point (-3,2)?
a. y= -4x - 10
b. y=-4x + 2
c. y= -4x + 5
d. y= 1/4x - 7/2
e. y= 1/4x + 11/4
Answer:
a
Step-by-step explanation:
y-2/x+3= -4
-4x-12=y-2
y=-4x-12+2
y=4x-10
a2+(b−c); a=−8, b=17, c=21
Answer:
-20
Step-by-step explanation:
a2 + ( b-c)
rewrite the equation
2 * a + ( b - c )
a = -8
b = 17
c = 21
substitute in the given values
(-8) 2 + ( (17) - (21) )
simplify and solve
-16 + ( 17-21)
= -16 + (-4)
= -16 -4
=-20
The area of a rectangular rug is 25.5 square meters. The width of the rug is 3.75 meters. Found the length of the rug by dividing its area by its width. What is the length in of the rug?
Simplify the expression using the distributive property. 16m + 4(3m – 2a)+32
Answer:
16m + 12m - 8a + 32
Step-by-step explanation:
16m + 4(3m) - 4(2a) + 32. distribute the number (4) among the numbers inside of the parenthesis
16m + 12m -8a + 32. multiply
Math WILL GIVE BRAINLIEST A. How many different outcomes are represented in your tree diagram?
B. Suppose the three primary colors are red, yellow, and blue. How many outcomes contain at least one primary color?
Step-by-step explanation:
hello just came here to get likes
Which set of numbers is included in the solution set of 8 - 5x > 23
Answer:5
Step-by-step explanation: because i had this question before
Pleaseeee help !! I made this a 50 point question
The angle "b" and the angle "d" are both the same angle measure. In other words, they are opposite angles that share the black dot in the middle. Angle "a" and angle "c" are both opposite angles which make them the same. They can also be called congruent angles. Even if they are facing a different direction, they are the same.
Therefore, the answer is 130 degrees
Best of Luck!
answer:
130 degrees
explanation:
the angles "a" & "c" are opposite (also called congruent) so they are the same.
True or false? The graph has a real root when x =5
Answer:
True, assuming you mean on any graph.
Step-by-step explanation:
A Machine can produce six yards of yarn in two minutes. How many yards of yarn can it produce in one hour
Answer:180
Step-by-step explanation:
Please do this for me I need to finish everything else by the end of tonight and I don’t have that much time so please help me out and do this for me
PLeaseeeeee helpp read this At the beginning of this month, the balance of Esmeralda's checking account was $1023.49. So far this month, she has received a paycheck via direct deposit of $778.98, been charged a monthly service fee from her bank of $18, used a debit card linked to her account to make a purchase of $51.27, written a check for $388.63 that has already been deposited, and deposited a check written to her for $102.76, all in that order. Esmeralda wants to know the current balance of her account.
Part 1: What was the balance of Esmeralda's checking account after she received her paycheck via direct deposit?
Part II: What was the balance of Esmeralda's checking account after she was charged a monthly service fee from her bank?
Part III: What was the balance of Esmeralda's checking account after she used a debit card linked to her account to make a purchase?
Part IV: What was the balance of Esmeralda's checking account after the check she wrote was deposited?
Part V: What was the balance of Esmeralda's checking account after she deposited the check written to her? This is the current balance of Esmeralda's account.
Answer:
$1802.47; $1784.47; $1733.20; $2121.83; $2224.59
Step-by-step explanation:
Variable x = answer
Part 1:
1023.49 + 778.98 = x
$1802.47 = x
Part 2:
1023.49 + 778.98 - 18.00 = x
1802.47 - 18.00 = x
$1784.47 = x
Part 3:
1023.49 + 778.98 - 18.00 - 51.27 = x
1802.47 - 18.00 - 51.27 = x
1784.47 - 51.27 = x
$1733.20 = x
Part 4:
1023.49 + 778.98 - 18.00 - 51.27 + 388.63 = x
1802.47 - 18.00 - 51.27 + 388.63 = x
1784.47 - 51.27 + 388.63 = x
1733.20 + 388.63 = x
$2121.83 = x
Part 5:
1023.49 + 777.98 - 18.00 - 51.27 + 388.63 + 102.76 = x
1802.47 - 18.00 - 51.27 + 388.63 + 102.76 = x
1784.47 - 51.27 + 388.63 + 102.76 = x
1733.20 + 388.63 + 102.76 = x
2121.83 + 102.76 = x
$2224.59 = x
A simpler way to do this is by using the last number and adding or subtracting to that. I showed it this way to give you a better understanding.
Abigail is driving on a long road trip she currently has 13 gallons of gas in her car each hour that she drives her car is up 1 gallon of gas how much gas would be in the tank after driving for two hours how much gas will be left after T hours
Step-by-step explanation:
Well, if 1 gallon of gas = 1 hour then
2 hours would be 2 gallons so only 11 gallons of gas would be left in the tank and
13 hours would be 13 gallons, so 0 gallons of gas would be left in the tank