Answer:
The experimental probability is the same as the theoretical probability.
Step-by-step explanation:
The given data is:
color observed frequency relative frequency
Red 15 3/10
Blue 12 6/25
Green 8 4/25
Yellow 10 1/5
Purple 5 1/10
The experiment was repeated 50 numbers of times.
Solution:
Theoretical probability is basically what is expected to happen without experimenting and experimental probability is what actually happens as a results of an experiment.
Theoretical probability = favorable outcomes / all possible outcomes
Experimental probability = no. of times outcome occurs / no. of times
experiment is performed The experimental probability and theoretical probability are same i.e. 1/5
This can be seen from the table:
Experimental probability = 1/5
As the experiment is performed 50 times and the outcome (yellow tile) occurs 10 times so using the formula of experimental probability:
10/50 = 1/5
Now as given, there are 5 number of tiles (red,blue,green,yellow,purple) so number of possible outcomes is 5. Yellow tile among these 5 tiles is 1. So the favorable outcomes is 1. So looking at the given formula of theoretical probability:
1/5
So
experimental probability = 1/5
theoretical probability = 1/5
Hence the experimental probability is the same as the theoretical probability.
Answer: A
Step-by-step explanation: it’s A for the lazy people
Explain the 2 different answers you can get when solving an equation and the variable is eliminated.
When you're solving an equation, there are three possibilities. Two of which are chosen if your statement is true or not.
If you're able to get x alone, there is one solution. However, If all of the variables are eliminated and you're left with a false statement, that will be no solution. Example: 1=5? False.
If all of the variables are eliminated and you're left with a true statement, that solution is all real numbers. Example: 5=5? True.
simplify 3^5 • 3^4
a. 6^9
b. 3^9
c. 3 • 20
d. 3^20
Answer:
The answer is option BStep-by-step explanation:
[tex] {3}^{5} . {3}^{4} [/tex]To solve this question we use the rules of indices.
That's since the bases are the same and are multiplying we add the exponents
That's
[tex] {a}^{x} . {a}^{y} = {a}^{x + y} [/tex]So from the question
[tex] {3}^{5} . {3}^{4} = {3}^{5 + 4} [/tex]We have the final answer as
[tex] {3}^{9} [/tex]Hope this helps you
Answer:
b
Step-by-step explanation:
Find the least common multiple (LCM)
Answer:
12 x^4 y^2
Step-by-step explanation:
6x^2y^2 and 12 x^4 y
First find the least common multiple of the coefficients
6 and 12
12 is the smallest number that they both go into
Then find the least common multiple of the x terms
x^2 and x^4
x^4 is the smallest that they both go into
Then find the least common multiple of the y terms
y^2 and y
y^2 is the smallest that they both go into
The least common multiple is
12 x^4 y^2
Answer:
12x4y2
Step-by-step explanation:
lcm is the smallest expression that is divisible by both expressions
Mr Dominguez spends three weeks training for a marathon. Every day he runs 1/2 mile more than the day before. If the first day he ran 6 miles, how many will he run on the 21st day?
Given that f(x) = 6x + 2 and g(x) =
2x + 4
5
solve for g(f(1)).
1
03
4
8
Answer:
[tex]\displaystyle g(f(1)) = 20[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=6x+2 \text{ and } g(x)=2x+4[/tex]
And we want to find:
[tex]g(f(1))[/tex]
First, find f(1):
[tex]\displaystyle \begin{aligned} f(1) &= 6(1) + 2 \\ &= 6 + 2 \\ &= 8 \end{aligned}[/tex]
Substitute:
[tex]g(f(1))=g(8)[/tex]
Find g(8):
[tex]\displaystyle \begin{aligned} g(8) &= 2(8) + 4 \\ &= 16 + 4 \\ &= 20 \end{aligned}[/tex]
In conclusion:
[tex]\displaystyle g(f(1)) = 20[/tex]
solve for (x,y,z). x+y+z=3 -x+3y+2z=-8 x=4z
Answer:
x=4
y=-2
z=1
Step-by-step explanation:
x+y+z=3
-x+3y+2z=-8
x=4z
so
4z+y+z=3,
y+5z=3
y=3-5z
-4z+3y+2z=-8
3y-2z=-8
3(3-5z)-2z=-8
9-15z-2z=-8
-17z=-8-9
-17z=-17
z=1
x=4z=4×1=4
y=3-5z=3-5×1=3-5=-2
Which number is prime? 21 22 23 24
Answer:
23 is the prime number
How?
▶
21 is divisible by 3
21 is divisible by 322 is divisible by 2
21 is divisible by 322 is divisible by 223 is not divisible by any no.
21 is divisible by 322 is divisible by 223 is not divisible by any no. 24 is divisible by 2
Step-by-step explanation:
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
prime numbers - prime numbers numbers are those numbers who have only one factor 1 and that no it self
21 is divisible by 3 and 7 so it is not a prime number22 is divided by 2 and 11 so it is not a prime number23 is divisible by oly 1 and the number it self it means 23 is a prime number24 is divisible by 2 , 3, 4, 8, 12Hope it helps u mate
13 people fit comfortably in a 5 foot by 5 foot area. Use this value to estimate the size of a crowd that is 5 feet deep on one side of the street along a 4 mile section of a parade route.
Answer:
There are 203069 people in the crowd
Step-by-step explanation:
The first step in solving this problem is to ensure that we are working with the same units throughout the solution process. To do this, we will have to convert 4 miles to feet. (This is because every other unit is in feet).
Note: ( 1 mile =5280 feet)
4 miles = 21120 feet.
The next step is to calculate the area that the entire parade is occupying. This can be done by multiplying the length of the parade by the breadth. In this case, it will be 21120ft X 5 ft = 105600 square feet.
We can now at this point, find the area occupied by only one person.
if 13 people occupy 25 square feet (5ft X5 ft)
1 person will occupy 25/13 = 1.92 square feet
We can finally get the number of people in the crowd by multiplying the area occupied by the whole crowd by the area of one person. This will be
105600 X 1.92= 203069 people in the crowd
What is the range of the function represented by these ordered pairs?
Answer:
B
Step-by-step explanation:
The range of a data set is the y-coordinates of the ordered pairs.
So, we have the ordered pairs:
{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}
So, the range will be (the bolded numbers):
{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}
Thus, our answer is:
{-1, 0, 1, 7}
Note that the range should be in ascending order.
Also note that even though 7 appears twice, 7 is 7, so we only put one 7.
The answer is B.
Help me please
Surds
Answer:
12[tex]\sqrt{6}[/tex] + 8[tex]\sqrt{15}[/tex] + 12 + 4[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
(4[tex]\sqrt{3}[/tex] + 2[tex]\sqrt{2}[/tex] )(3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
4[tex]\sqrt{3}[/tex] (3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] ) + 2[tex]\sqrt{2}[/tex] (3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] ) ← distribute both parenthesis
= 12[tex]\sqrt{6}[/tex] + 8[tex]\sqrt{15}[/tex] + 12 + 4[tex]\sqrt{10}[/tex]
If a sample mean is 7 and the confidence interval is from 4 to 10, then the
margin of error must be plus or minus
4
10
7
3
6
Answer:
±3
Step-by-step explanation:
4 - 7 = -3
10 - 7 = 3
HI!! Please help me asap, thank you!
Answer: -24.8 or 24 4/5
Step-by-step explanation:
How to find the mean: add up ALL the number you want or need then DIVIDE by how many there are.
So: -28 + -26 + - 13 + -39 + -18 = -124
You are not done though.
You HAVE to divide -124 by 5.
so your mean should be -24.8 degrees feriheit,
Examine the table of input (x) and output (y) values below. Is there a relationship between the input and output values? If so, write an equation for this relationship.
Answer:
y = 3x -1
Step-by-step explanation:
y = mx +/- b
To find the y-intercept, using the table, we look for when x = 0. In this question, when x=0, y = -1. Therefore the y-intercept is -1.
to find the slope (m), we just plug in an "x" value and "y" value, and solve for "m".
i.e.
2 = 1m - 1
3 = 1m
m = 3 = slope
If you use this with any of the other values you will get the same result.
I hope this helps!
-TheBusinessMan
-
(〖5-1)〗^3 + (〖11-2)〗^2 + (〖7-4)〗^3
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
❀ [tex]\boxed{172}[/tex] ❀
[tex]\left(5-1)^3+(11-2\right)^2+(7-4)^3[/tex]
[tex]=4^3 + (11 - 2)^2 + ( 7 - 4)^3[/tex]
[tex]=64 + (11 - 2)^2 + ( 7 - 4)^3[/tex]
[tex]= 64 + 9^2 + ( 7 - 4 )^3[/tex]
[tex]= 64 + 81 + ( 7 - 4 )^3[/tex]
[tex]= 145 + ( 7 - 4)^3[/tex]
[tex]= 145 + 3^3[/tex]
[tex]= 145 + 27[/tex]
[tex]= 172[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Simplify the expression. -(6)-1
A: -1/6
B: 1/6
C: 6
D: -1
Ask Richard swim underwater his elevation changes and family for six minutes altogether a change in -30 feet what was the change in elevation drink each minute what was the change in elevation during each minute
Answer:
The change of elevation during each minute is -5 feet per minute
Step-by-step explanation:
Here in this question, we are interested in calculating the change in elevation during each minute given that there was a total change of -30 feet in six minutes altogether.
Now, to calculate the change in elevation during each minute, we need to assume that the change in elevation per each of the minutes is the same.
So to calculate the change in elevation during each of the six minutes, we simply divide the total change in elevation by the total number of minutes.
Mathematically, that would be -30 feet/6 minutes = -5 feet per minute
Consider the tile pattern below. Completely describe what figure 100will look like. How many tiles will be in figure 100? Explain how you know
Answer:
101 up on the left
100 up on right
6 across the bottom
Step-by-step explanation:
their is always six along the bottom
up on the right is whateve number the figure is it increase one everytime
101 up on the left because figure one stats with 2 and from their one is added
The solution is
a) The figure will have 100 rows of 6 tiles and 1 row having 1 tile
b) The number of tiles in figure 100 will be 601 tiles
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the figure 100 be represented as = a₁₀₀
Let the number of tiles in the first figure be a₁
The value of a₁ = 7 tiles
Let the number of tiles in the second figure be a₂
The value of a₂ = 13 tiles
So , the common difference of the arithmetic sequence is d
d = second term - first term
d = 13 - 7
d = 6
Now , the value of figure a₁₀₀ is calculated by the formula
Tn = a + (n - 1) d
Substituting the values in the equation , we get
a₁₀₀ = 7 + ( 100 - 1 ) 6
a₁₀₀ = 7 + ( 99 x 6 )
a₁₀₀ = 7 + 594
The value of a₁₀₀ = 601
Therefore , the figure will have 100 rows of 6 tiles and 1 row having 1 tile
And , the total number of tiles in the figure is 601 tiles
Hence , The figure will have 100 rows of 6 tiles and 1 row having 1 tile and
the number of tiles in figure 100 will be 601 tiles
To learn more about arithmetic progression click :
https://brainly.com/question/1522572
#SPJ2
12y+6=6(2y+1) does it have a soultion
Answer:
12y + 6 = 12y + 6
Step-by-step explanation:
both sides are identical, so no.
Answer:
because y=y it has infinitely many solutions
Step-by-step explanation:
the marked price of
b) The price of an electric fan is fixed 20% above its cost price. When it is sold allowing
18% discount, there is a loss of Rs 20. Calculate the marked price and the selling price
of the fan.
min of
Answer:
MP = Rs. 1500
SP = Rs. 1230
Step-by-step explanation:
Let the Cost Price (CP) be x
Then Market Price (MP):
MP = x+ 20% = 1.2xDiscounted Selling Price (SP):
SP = MP - 18% = 0.82*1.2x = 0.984xSince the difference between CP and SP is Rs.20:
x - 0.984x = 200.016x = 20x= 20/0.016x = 1250Then:
MP = 1.2*1250= Rs. 1500and
SP = 1500*0.82 = Rs. 1230What is annual simple interest
Answer:
_____________________________________
The annual interest rate, sometimes called the standard annual interest rate or base rate, is the percentage value you usually see first when comparing financial products. It's the basic interest that you'll pay on your loan or earn on your savings account without taking compounding or fees into consideration.
_____________________________________
2 (w^2-2w)=5 SOLVE USING QUADRATIC EQUATION
Answer:
x=4+ 2root14/4
by using quadratic formula
Choose the number line that correctly compares 24 and 4.256
A number line shows the comparison between numbers, at a regular interval.
The correct number line that compares [tex]\sqrt{24[/tex] and [tex]4.256[/tex] is (c)
The numbers are given as:
[tex]n_1 = \sqrt{24}[/tex]
[tex]n_2 = 4.256[/tex]
So, we have:
[tex]n_1 = \sqrt{24}[/tex]
Take square roots
[tex]n_1 = 4.899[/tex]
4.899 is greater than 4.256 i.e. [tex]n_1 > n_2[/tex]
So, we have:
[tex]\sqrt{24} > 4.256[/tex]
Number lines increases in value towards the right. This means that:
[tex]\sqrt{24}[/tex] will be at the right-hand side of 4.256[tex]\sqrt{24[/tex] will be between 4.8 and 4.9Hence, the correct number line is: (c)
Read more about number lines at:
https://brainly.com/question/18611090
A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister?
Answer:
The amount by which the sugar canister is smaller than the flour canister is 136 in³
Step-by-step explanation:
The dimensions of the flour canister = 5 and 1/2 inches by 4 inches by 10 inches
(5 and 1/2 = (5 1/2))
(3 and 1/2 = (3 1/2))
The dimensions of the smaller sugar canister = 3 and 1/2 inches by 3 inches by 8 inches
The volume of the rectangular prism = Length × Width × Height
∴ The volume of the flour canister = (5 1/2) × 4× 10 = 220 in.³
The volume of the sugar canister = (3 1/2) × 3 × 8= 84 in.³
The difference in volume between the flour canister and the sugar canister is given as follows;
220 in.³ - 84 in.³ = 136 in.³
The amount by which the sugar canister is smaller than the flour canister = 136 in.³.
Answer:
Yeah, what they said above.
Step-by-step explanation:
1-3 Calculating a Weekly Time Card
Is that the question?
18
A person typically breathes about 8.64 x 10^3 liters of air per day. The life expectancy of
a person in the United States at birth is about 29,200 days. Estimate the total amount of
air a person born in the United States breathes over a lifetime.
Answer:
2.53×10^8 liters
Step-by-step explanation:
(8.65×10^3 L/da)(0.292×10^5 da) ≈ 2.53×10^8 L
R(x)=2√x s(x)=√x (rs)(4)
Answer:
(rs)(4) = 8
Step-by-step explanation:
r(x)=2√x s(x)=√x
(rs)(x) = r(x) × s(x) = 2√x ×√x = 2x
(rs)(4) = 2×4 = 8
Answer:
The second one is 2
Step-by-step explanation:
Just got it right on edg
14x-34
I need help fast!
Answer:
15.3
Step-by-step explanation:
im not 100 percent sure if this is correct but i used a calculator so...
Which of the following expressions is the additive inverse of -40-42?
Answer:
it is -2
Step-by-step explanation:
Could someone solve this? Thank you!
A vehicle covers of 43.2km in 2.4liters of petrol .How much distance will it cover in 1 liter of petrol
Answer:
18kmStep-by-step explanation:
[tex]Distance_1 = 43.2km\\Litres\:of petrol_1 = 2.4 \:litres\\Distance_2 = ?\\Litres_2 = 1 litre\\\\Use\: Proportion ;\\\\43.2 \:km = 2.4\:litres\\x \:km \:\:\:\:= 1 \:;litres\\\\Cross\:multiply\\\\2.4 \times x= 43.2 \times 1\\2.4x = 43.2\\\\Divide \:both\:sides\:of\:the\:equation\:by\:2.4\\\frac{2.4x}{2.4} = \frac{43.2}{2.4} \\\\x = 18 \: km[/tex]