The probability that the product of the numbers they roll is even is, 2/3
We have to given that,
Geoff and Trevor each roll a fair six-sided die.
Here, Number of possible outcomes for Geoff,
1, 2, 3, 4, 5, 6
And, Number of outcomes for Trevor,
1, 2, 3, 4, 5, 6
Hence, Possible outcomes for product of the numbers they roll is even are,
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
2 x 5 = 10
2 x 6 = 12
3 x 2 = 6
3 x 4 = 12
3 x 6 = 18
4 x 1 = 2
4 x 2 = 8
4 x 3 = 12
4 x 4 = 16
4 x 5 = 20
4 x 6 = 24
5 x 2 = 10
5 x 4 = 20
5 x 6 = 30
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
Hence, Total possible outcomes = 24
And., Total outcomes = 6x 6 = 36
So, the probability that the product of the numbers they roll is even is,
P = 24 / 36
P = 12/18
P = 2/3
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Identify the transformation that maps the figure onto itself.
A) rotate 180° clockwise about (8, 4) and reflect across the line y = 1
B) rotate 180° clockwise about (8, 4) and reflect across the line x = 8
C) rotate 180° clockwise about (7, 1) and reflect across the line y = 1
D) rotate 180° clockwise about (7, 1) and reflect across the line x = 8
Explain why the graph shown may be misleading. (please help)
What is the average speed of a cheetah that runs 90 meters in 2.8 seconds?
A group of 156 tourists had enough food for a stay of 125 days in a mountain. however just before they left, n tourists left the group, this meant that the group had enough food to lengthen their stay for another 70 days. how many left the group?
please show your steps.
△ABC is mapped to △A′B′C′ using each of the given rules.
Which rules would result in △ABC being congruent to or not congruent to △A′B′C′ ?
Drag and drop each rule into the boxes to classify it as Congruent or Not Congruent.
Congruent Non Congruent
Choices to go to either congruent or non congruent
(x,y)----(x+5,y) (x,y)---(5x,5y) (x,y)-----(0.5x, 0.5y) (x,y)-----(x,-y) (x,y)------(-x,-y)
Answer:
(x,y)→(x+5,y) will be congruent; (x,y)→(5x,5y) will not be congruent; (x,y)→(0.5x, 0.5y) will not be congruent; (x,y)→(x,-y) will be congruent; (x,y)→(-x,-y) will be congruent.
Step-by-step explanation:
The types of translations that result in congruent images are translations or slides; reflections; and rotations.
Translations will add to the x- and y-coordinates; this is why the first transformation is congruent.
Reflections will negate one or more of the coordinates; this is why the fourth and fifth transformations are congruent.
The remaining two are dilations; these are stretches or shrinks that occur when the coordinates are multiplied by a number other than 1. These change the size of the figure, which is why they are not congruent.
Answer: Just took the test these are the correct anwsers
Step-by-step explanation:
8 tens 5 hundredths = thousandths
Plz help! Identify which operation will undo the operation in the equation (i.e. if you are given a ______________________, then you divide. If you are given ______________, then you multiply them)
8 bits is enough to represent 256 different numbers. how many total bits do you need to represent 512
Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant? The equation __ models the scenario. Hans will plant ___ snapdragons.
Answer:
the equation: x=45-y . models the scenario
Hans will plant: 16 . snapdragons
Step-by-step explanation:
did it on edge 2021
prime numbers divided by 4 remainder 1 proven true
What is 41.925 as a mixed number in simplest form?
The root x = 1 has multiplicity 3 for the function f(x)=x^3-x^2-x+1. True or false
The root x = 1 has multiplicity 3 for the function f(x) = x³ - x² - x + 1.
Explanation:The statement is true.
A root of a polynomial function has a multiplicity equal to the number of times it appears as a factor in the polynomial. In this case, the root x = 1 appears three times as a factor in the function f(x) = x³ - x² - x + 1. Therefore, it has a multiplicity of 3.
John has on his shelf four books of poetry, four novels, and two reference works. suppose from these ten books, we were to pick two books at random. what is the probability that we pick one novel and one reference work? (a) 1/2
The probability isf 8/45.
Probability calculation:
Calculate the total number of ways to pick 2 books from the 10 books, which is 10 choose 2 = 45.
Calculate the number of ways to pick 1 novel and 1 reference work, which is 4 choose 1 for novels * 2 choose 1 for reference works = 8.
Divide the number of favorable outcomes by the total outcomes to get the probability: 8/45 = 8/45.
You arrive in my class 45 seconds after leaving math which is 90 meters away
You traveled the 90 meters in 45 seconds at a speed of 2 meters per second.
Speed = Distance / Time
Given:
Distance = 90 metersTime = 45 secondsWe can now calculate the speed:
Speed = 90 meters / 45 seconds
= 2 meters/second
This means you traveled at a speed of 2 meters per second to get from your math class to the next class.
Complete Question:
You arrive in my class 45 seconds after leaving math which is 90 meters away. Find speed.
what is the solution to this equation? 4x^2+98=0
Follow below steps;
The equation to solve is 4x² + 98 = 0.
1. Subtract 98 from both sides to get 4x² = -98.
2. Divide by 4 to obtain x² = -24.5.
3. Take the square root, remembering that √(-1) = i, so x = ±√24.5i.
Which of the following is the linear parent function
Answer:
Option C is correct linear parent function.
Step-by-step explanation:
We need to choose from the option as a linear parent function.
We will look each option and explain each one.
Option A: [tex]f(x)=|x|[/tex]
Here we have absolute sign on x. It is parent function of absolute function.
Option B: [tex]f(x)=x^2[/tex]
Here we have square on x. It is parent function of quadratic or parabola.
Option C: [tex]f(x)=x[/tex]
It is parent function of linear because exponent of x is 1 and coefficient of x is 1.
Option D: [tex]f(x)=2x[/tex]
It is linear function but not parent because coefficient of x is not 1.
Hence, Option C is correct linear parent function.
What is the x-intercept of the function graphed below?
Answer:
Option C is correct
(-8, 0)
Step-by-step explanation:
x-intercept:
The point where function cuts x-axis that is point where y = 0.
Given that:
A graph with equation of line.
we have to find the find the x-intercept of the function graphed.
By definition of x-intercept.
From the given graph,
it can be seen clearly that the given line crosses that x-axis at (-8, 0)
⇒x-intercept = (-8, 0)
Therefore, the x-intercept of the function graphed is, (-8, 0)
A perpendicular bisector intersects a segment at a right angle. Which of the following objects can a perpendicular bisector be? A. Ray, line, or line segment B. Line segment C. Ray D. Line or line segment
Answer with explanation:
The meaning of Perpendicular Bisector is ,to divide the segment into two equal parts , and angle between given segment and either ray or line or line segment which is used as perpendicular bisector has measure of angle equal to 90°.
A ray has a end point ,and other end goes infinitely in other direction.
A line has no end point in either direction.It goes till infinitely in both direction.
A segment has both ends fixed,does not go till infinity in either direction.
The perpendicular bisector can be any of the following:
A.⇒ Ray, line, or line segment
if *(pic below)* complete the following statement
f(6)=___
let f(x)=3x^2-x+2 and g(x)= 5x^2-1. find f(g(x))
Answer:
15x^4-5x^2+1
Step-by-step explanation:
g(x)=5x^2-1 and f(x)=3x^2-x+2
f(g(x))would mean that g(x) would be x in f(x).
So f(g(x) would be 15x^4-3-5x^2+1+2
simplified would be 15x^4-5x^2+1
The temperature of dry ice is −109.3°f−109.3°f. this is 184.9°f184.9°f less than the outside temperature. write and solve an equation to find the outside temperature tt (in degrees fahrenheit).
Final answer:
To find the outside temperature T when the temperature of dry ice is -109.3°F, and it is 184.9°F less than the outside temperature, we simply need to add those two numbers. The outside temperature T is found to be 75.6°F.
Explanation:
The student is asked to find the outside temperature T given that the temperature of dry ice is −109.3°F. The temperature of dry ice is 184.9°F less than the outside temperature. To find the outside temperature, we can set up the following equation:
T = (-109.3°F) + 184.9°F
Now, we simply add the two numbers to solve for T:
T = 75.6°F
The calculation shows that the outside temperature T is 75.6°F.
What is 2 1/5, 2.25, 8/20, 2.8 all
from least to greatest
Felicia put $8500 into a CD that pays 2.8% interest compounded semiannual. According to the rule of 72, approximately how long will it take for her money to double ?
In how many ways can Jasmine draw a blue or a yellow marble from a jar containing 28 blue marbles and 7 yellow marbles?
solve 18x-17y=-8 this is linear equations slope intercept form
How much money should a student place in a time deposit in a bank that pays 1.1% compounded annually so that he will have Php 200,000.00 after 6 yrs?
Let us say that:
P = present value
F = future value
i = interest rate
n = period
P = F / [ (1 + i ) ^n ]
P = 200000 / [ (1 + 0.011) ^6 ]
P = 187293.65
Therefore the student must put up Php 187,293.65
PLEASE HELP ASAP:))) I WILL GIVE YOU BRAINLEST ANWSER
(use the graph)
The picture below shows the dependence of the breaking distance on its speed on a dry road (curve OA), on a wet road (curve OB), on an icy road (curve OT). Answer the following questions:
a) What is the breaking distance of the car at a speed of 50 kilometers per hour in each case?
On a dry road : m
On a wet road : m
On an icy road : m
b) What should be the car’s speed in all three cases so that the breaking distance doesn’t exceed 60 meters?
On a dry road : the highest speed should be km/h
On a wet road : the highest speed should be km/h
On an icy road : km/h
Which angle is the included angle for DE¯¯¯¯¯ and FE¯¯¯¯¯ ?
∠D
∠E
∠F
Answer: ∠E
Step-by-step explanation:
The included angle for [tex]\overline{DE}[/tex] and [tex]\overline{FE}[/tex] is [tex]\angle{E}[/tex].
The included angle for any two lines or line segments is represented by the common vertex point.
For example : The included angle for [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex] is [tex]\angle{B}[/tex] [Since B is the common end point in [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex] ]
Similarly, the included angle for [tex]\overline{DE}[/tex] and [tex]\overline{FE}[/tex] is [tex]\angle{E}[/tex] (Since E is the common vertex in [tex]\overline{DE}[/tex] and [tex]\overline{FE}[/tex] )
There are 15 tennis balls in a box, of which 9 have not previously been used. three of the balls are randomly chosen, played with, and then returned to the box. later, another 3 balls are randomly chosen from the box. find the probability that none of these balls has ever been used
Final answer:
The probability that none of the balls have been previously used is 20.96%.
Explanation:
To find the probability that none of the three balls selected have ever been used, we first calculate the probability of selecting a ball that has not been used each time.
Initially, there are 15 balls in total, out of which 9 have not been used. So, the probability of selecting a ball that has not been used on the first draw is 9/15.
After the first draw, the number of balls in the box remains the same, but the number of unused balls decreases to 8. So, the probability of selecting a ball that has not been used on the second draw is 8/15.
Similarly, for the third draw, the probability of selecting a ball that has not been used is 7/15.
Since the balls are chosen randomly and returned to the box after each draw, the probabilities are independent. Therefore, to find the probability that none of the balls have ever been used, we multiply the probabilities of each draw:
(9/15) x (8/15) x (7/15) = 0.2096, or approximately 20.96%.
A bank charges $5.00 per month plus $.30 per check for a standard checking account. Find the number of checks Justine wrote if she paid $8.30 in fees last month.