You roll a 6-sided die.
What is P(not divisor of 6)?
Write your answer as a fraction or whole number.
1/3
Step-by-step explanation:The notation P(x) is used to describe the probability of event x occurring.
Divisors
Before we can do the probability question, we need to find the divisors of 6. Divisors are numbers that can evenly divide another number. The factors and divisors of a number are the same. So, 6 has 4 divisors:
1, 2, 3, and 6All of these values are on a 6-sided dice. So, in this probability question, there are 4 unsuccessful outcomes.
Probability
The probability of a simple event is the number of successful outcomes divided by the number of possible outcomes. In this situation, there are 6 possible outcomes, each side of the dice. Four of these outcomes do not satisfy the given condition (not a divisor of 6). Thus, there are 2 successful outcomes.
\(\frac{2}{6} =\frac{1}{3}\)The probability of rolling a number that is not a divisor of 6 is 1/3.
3. Find the equation of a line passing through the two points (4, 2) and (-3, 1).
The equation of the line passing through the two points (4,2) and (-3,1) is 7y-x-10=0
What is equation of a line?Equation of a line is an algebraic form of showing the set of points, which together forms a line in a coordinate system.
Given the line passes through the points (4,2) and (-3,1)
Here, x1=4, y1=2, x2=-3, y2=1
So, the slope of the line (m)= \(\frac{y2-y1}{x2-x1}\\\)=\(\frac{1-2}{-3-4}\\\)=\(\frac{1}{7}\)
Now we know, the equation of the line is given as,
y-y1=m(x-x1)
Putting the value of y1 and x1 in the equation we get,
y-2=\(\frac{1}{7}\)(x-4)
7y-14=x-4
7y-x-10=0
Hence the equation of the line that passes through the two points (4,2) and (-3,1) is 7y-x-10=0.
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Solve the system of equations with three variables
using Gaussian.
5x – 4y + 2z = 21
-x - 5y + 6z = -24
-x– 4y + 5z = -21
Answer:
5×_5y+2z=21 -×-5y+6z=-24-z_4y +5z=_21
Round 2.873 to the nearest tenth
Answer:
2.9
hope this helps
have a good day :)
Step-by-step explanation:
A bag contains 5 blue marbles, 7 white marbles, and 4 yellow marbles. If two different marbles are drawn from the bag, what is the probability of drawing first a blue marble and then a yellow marble?
Answer: The probability of drawing a blue marble and then a yellow marble is 1/12 or 0.0833.
Step-by-step explanation:
There are 16 marbles in the bag. To calculate the probability of drawing a blue marble and then a yellow marble, we can use the formula:
P(blue and yellow) = P(blue) x P(yellow|blue)
The probability of drawing a blue marble on the first draw is 5/16. After one blue marble has been drawn, there are 15 marbles left in the bag, so the probability of drawing a yellow marble on the second draw, given that the first marble was blue, is 4/15.
P(blue and yellow) = (5/16) x (4/15) = 1/12 or 0.0833
Let X and Y be discrete random variables and let a and b be constants Which of the following is. FALSE? (a) mean (X + Y) = mean (X) + mean (Y).
Mean (X + Y) = Mean (X) + Mean (Y).
The above statement is false.
Discrete Random Variable:
A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.
Probability Distributions of Discrete Random Variables:
Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.
The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.
Example:
Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.
Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values that result from experimentation.
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A group of 6 adults and free children ordered a hot the combo packs if each combo pack cost $7 what was the total bill
Answer:
1.17
Step-by-step explanation:
You have to divide the cost/number of people who paid. This would be 7/6. 7/6 is equal to 1.16666666667. Since this is cost we round up to 1.17.
Rohan buys 1 dozen pens for 180 and Saurav buys 7 pens for 390. Who bought costlier pens
Answer:
saurav
Step-by-step explanation:
1 dozen of pen is = 12.
12 = 180
7 = 390
help 50 brainly for first answer
Answer: B
Step-by-step explanation:
Can someone please help me I will mark u brilliant
Answer:
8
Step-by-step explanation:
help
Please!!!!!!!!
Will appreciate it :)
Answer:
-5(-6x² + x + 2)
Step-by-step explanation:
-5(-6x² + x + 2)
= (-5)(-6x²) + (-5)(x) + (-5)(2)
= 30x²-5x-10
6. A war veteran and a senior citizen are each buying the same model of vacuum cleaner for $115. They are each going to use their coupons, which say respectively "Veterans receive 20% off all store items!" and “Senior discount $50!". Who gets the better deal?
EXPLANATION
Vacuum cleaner = $15
Coupon discount [For Veterans]= 20%
Seniors discount = $50
To compare both we can do:
Veterans---> $115 * 0.80 = $92
Seniors-----> $115 -50 = $65
Answer: Seniors get the better deal.
10.
Use the quadratic function to predict y if x equals 6.
y = 2x2 − 2x − 2
A. y = 60
B. y = 58
C. y = −60
D. y = −58
Answer:
B. y = 58
Step-by-step explanation:
b) y=58 you follow the instructions
...............................................................................................................................................
The given quadratic function is
y= 2x^2 - 2x - 2
We have to find the value of the function y at x=6.
Substitute x=6 in the given function.
y= 2(6)^2 - 2(6) - 2
y= 2(36) - 12 - 2
y= 72 - 14
y= 58
The value of the function is 58 at x=6 is 58.
Therefore the correct option is B.
How does the graph of g(x) = (x − 2)3 + 6 compare to the parent function of f(x) = x3?
g(x) is shifted 2 units to the right and 6 units down.
g(x) is shifted 2 units to the right and 6 units up.
g(x) is shifted 2 units to the left and 6 units down.
g(x) is shifted 6 units to the left and 2 units down.
The relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.
Translation of coordinatesTranslations is a transformation technique that changes the position of an object from one point on the plane to another.
Given the function below
g(x) = (x − 2)^3 + 6
The function compared to f(x) = x^3, shows a translation of f(x) by 2 unit to the right along the horizontal and vertical translation of the function 6 units up
Hence the relationship of the graph g(x) = (x − 2)^3 + 6 compare to the parent function of f(x) = x^3 is that g(x) is shifted 2 units to the right and 6 units up.
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Answer:
g(x) is shifted 6 units to the left and 2 units down.
Step-by-step explanation:
took the test
Plzzzz help will give Brainyest. No spamming plz it’s due in 10 mins plz answer if you know I will give you 30 points if you don’t know the answer don’t answer because I can only have one attempt
Answer:
The 2nd answer point is correct
Step-by-step explanation:
Multiple sites
There are three uncertain (random) variables in this problem. Choose the variables that should represent uncertainty in this model.
a. Yield
b. Initial Research and Development Cost
c. Pre-Orders Picked up
d. What type of fruit to grow
e. Pre-Orders Placed
f. Salvage Price
Answer:
a. Yield
c. Pre-Order picked up
e. Pre-Orders placed.
Step-by-step explanation:
Uncertain random variables are those over which the farmer has no control. These variables are uncontrollable and there can be no prediction for it. The farmer has no control over the yield produced. He can choose what type of fruits to grow and input method but he has no control over output generated.
5. What is the degree of the following polynomial?
3x³ +9x²-x-10
A.) 4
B.) 5
C.) 3
D.) 6
Answer:
C
Step-by-step explanation:
the degree of a polynomial is the value of the largest exponent of the variable within the expression.
3x³ + 9x² - x - 10
the term 3x³ has the largest exponent in the expression
the polynomial is therefore of degree 3
What’s the 6th term of 23,92,368
Answer:
23552
Step-by-step explanation:
23, 92, 368... is a geometric sequence.
first term = a = 23
common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4
nth term = \(ar^n^-^1\)
6th term = \(23*(4)^6^-^1\)
\(=23*4^5\)
\(=23*1024\)
\(=23552\)
Hope this helps :)
Pls brainliest...
HELP PLEASE URGENT!!!
A Ferris wheel is 50 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. How many minutes of the ride are spent higher than 38 meters above the ground?
answer in minutes.
The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.
To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.
The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.
When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.
The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.
To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.
The formula is:
θ = arcsin(h / r)
where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).
θ = arcsin(38 / 29) ≈ 1.0918 radians
Now, we know the angle at which the Ferris wheel is 38 meters above the ground.
To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.
The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.
Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:
Fraction = θ / (2π) ≈ 1.0918 / (2π)
Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:
Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes
Calculating this expression will give us the answer in minutes.
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Alexandra bought a pair of sunglasses online for $24. She used a coupon code to get a 20% discount. The website also applied a 10% processing fee to the price after the discount. How much was the discount, in dollars and cents?
$2.4 is the discount used to purchase a pair of sunglasses
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Alexandra bought a pair of sunglasses online for $24.
She used a coupon code to get a 20% discount.
The website also applied a 10% processing fee to the price after the discount.
20%-10%=10%
Now 10% of price is 24
10/100×24=x
2.4=x
24+2.4=26.4 is the actual price.
Hence, $2.4 is the discount used to purchase a pair of sunglasses
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The first equation of a system of equations is y = -3x + 2. The graph of the system has no solution. Write a possible second equation for the system.
Answer:
see below.
Step-by-step explanation:
For a system of equation to not have a solution, the pair of lines will never intersect. For two lines to never intersect, their slopes will be parallel.
The second equation can be as simple as y = -3x.
The only equation it cannot be with a slope of -3 is y = -3x + 2. This is because that is the same equation and will therefore have an infinite number of solutions.
What is the value of x? 10 points
6
12
6√2
3
Answer:
12
Step-by-step explanation:
the triangle is isosceles- right angled triangle
(6sqrt2)^2+(6sqrt2)^2=x^2
therefore x=12
3.
4 m
2 m
2 m
A
2 m
2 m
in.
B
3 m
8 m
I want to know the area and how to do it
Answer: 32 sq m.
Step-by-step explanation: add 2,4,and 2 for length of bottom rectangle(8) then multiply that by 3 for area- 24. top would be multiplying 4 by 2- 8. Add 2 areas together and get 32.
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Hannah is setting up chairs for the class play. The room has 20 chairs. What are the different ways she can arrange the chairs in a rectangle?
Answer:
Have them 4 by 5.
Step-by-step explanation:
If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.
For example, (The "o" is a chair)
OOOOO
O
O
O
As you see the the top are the 5 chairs, then side are are the 4 chairs.
Then, you will do the exact same thing but on the opposite side.
Here is the next example.
OOOOOO
O O
O O
O O
OOOOOO
Basically, arranging the chairs 4x5, it would make a rectangle.
Question in picture answer correct
The reason for the statements for the algebraic proof is as follows;
Multiplication property of equalityDivision property of equalityHow to solve equation with reasons?The equation given is as follows:
3x / 6 = 4 . This equation is given.
Therefore,
3x / 6 = 4
Using multiplication property of equality, we will multiply both sides of the equation by 6.
3x / 6 × 6 = 4 × 6
3x = 24
The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.
Hence,
3x = 24
Using division property of equality, we divide both sides by 3.
3x / 3 = 24 / 3
x = 8
The Division Property of equality says that dividing both sides of an equation by the same number does not affect the equation.
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Find the values of x and y.
Answer: The correct answer is x = 50
Step-by-step explanation:
The sum of angles in a triangle = 180 degrees
This is a right-angled triangle, so one of the angles is 90 degrees + x +y
Therefore: 90 + y + x = 180
Substitute the variables:
90 + 40 + x = 180
130 + x =180
Subtract 130 from each side:
(-130) 130 + x =180 (-130)
x = 50
write 464000 in correct scientific notation
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
there are 270 players on 15 teams how many players are on each team
Number of players : 270
number of teams : 15
To find the number of players on each team, we have to divide the number of players (270) by the number of teams (15)
270/15 = 18
There are 18 players on each team
Which product costs the most per ounce?
Answer:
Jose's cereal
Step-by-step explanation:
Per ounce:
Betty's cereal= 0.06 dollars (6 cents)
Jose's cereal = 0.09 dollars (9 cents)
Bob's cereal= 0.06 dollars (6 cents)
Betty's cereal and Bob's cereal cost the same amount per ounce (6 cents).
Jose's cereal costs 9 cents which is greater than 6 cents.
Jose's cereal costs the most per ounce