An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events.
Event A: The sum is greater than 7.
Event B: The sum is divisible by 4 or 6 (or both).
Answers
Answer:
a. 5/12
b. 7/18
Step-by-step explanation:
In this question, we are interested in computing the probabilities.
Firstly, we need to get the sample space of the results. This refer to all possible results that can emerge from the rolling of the two die.
This can be found in the attachment.
What is important to know however is that the total number of possible results is 36;
so let’s compute;
a. For a, let’s circle all sums which are greater than 7 ;
We can see a total of 16 circled sums;
So the probability is 15/36 = 5/12
b. Sum divisible by 4 or 6 or both
Let’s make a circle again ;
So we have a total of 14
So the probability will be 14/36 = 7/18
Related Questions
Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales. She sold $600 in clothing on Saturday and $1200 in clothing on Sunday. How much did she earn over the two days?
Answers
Answer: $ 532
Step-by-step explanation:
Given: Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales.
She sold $600 in clothing on Saturday and $1200 in clothing on Sunday.
To find : Earning in two days.
Total sales she did in 2 days = $600+$1200 = $1800
Then, her total earning for 2 days = 2 x( Base salary)+ 14% of (Total sales)
= 2 x ($140) + (0.14) ($1800)
= $(280+252)
= $ 532
Hence, she earned $ 532 over the 2 days.
Answer:
$532
Step-by-step explanation:
Ramona worked for two days. So she would have already earned $280.
And she also earns 14% of $600 from the first day, and 14% of 1200.
14/100 * 600/1 = 8400/100 = $84
14/100 * 1200/1 = 16800/100 = $168
$280 + $84 + 168 = $532
Altogether, Ramona earned $532 in the total of two days! Wow that's more money then I get per month lol.
Hope this helps :D
- Anna
One morning, the temperature in Oakdale was -4°F. By noon, a strong wind had caused the temperature to drop another 3°F. What was the temperature at noon in Oakdale?
Answers
Answer:
-7°F
Step-by-step explanation:
if -4 was it's original number and the number has dropped means subtraction and by that means subtracting 3 to -4.Answer: -7
Step-by-step explanation: if -4 was it's original number and the number has dropped means subtraction and by that means subtracting 3 to -4.
What does change and what does NOT change during a translation? *
Answers
Answer:
During a translation the location of a figure changes, but the orientation, area, and lengths between it's points do not.
Answer:
the size and the shape
Step-by-step explanation:
On your first day of work you get 1 dollar on your second day you get 4 dollars on your third day you get 9 dollars on your fourth day you get 16 dollars.It continues for 30 days an then you receive a completion bonus of 500,000
Answers
Answer:
Step-by-step explanation:
How do you find a function for this story?
On your first day of work, you get $1. On your second day of work, you get $4. On your third day of work, you get $9. On your fourth day of work, you get $16. It continues this way for 30 days and then once you’ve completed the 30 days you receive a completion bonus of $500000.
No. of days Amount earned
1 1
2 4
3 9
4 16
. .
. .
. .
30 500,000
To find a function to the story
Let
No. of days = d
Amount earned = A
When,
d=1, A=1
d=2, A=4
d=3, A=9
d=4, A=16
It can be seen that amount earned is a square of the number of days
Therefore,
The function for the story is:
A=d^2
When d=30
A=30^2
=30*30
=900
Adding the total earnings for 30 days=$500,000
That is
1+4+9+16+25+36+49+64+81+100+121+144+169+196+225+256+289+324+361+400+441+484+529+576+625+676+729+784+841+900=500000
The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees of freedom provided that the expected frequencies for all categories are
Answers
Answer:
The expected frequencies for all categories are at least 5.
Step-by-step explanation:
The chi-square goodness of fit test is useful when we have one categorical variable from a population. The test is used to determine whether the data collected are consistent with a hypothesized distribution.
The conditions required to use the chi-square goodness of fit test are:
The sample collected should be a simple random sampleCategorical variable can only be testedThe expected frequencies for all categories or levels are at least 5.The degrees of freedom of this test is:
d = k - 1
Here,
k = number of categories.
Thus, the expected frequencies for all categories are at least 5.
the volume of this cube is 8 cubic inches. what is the surface area of this cube
Answers
Answer:
Step-by-step explanation:
find the height, width, and length.
multiply them
V=lwh
or
V=Bh
B=lw
Find the limit. Please show all workings.
Answers
Answer:
[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}=2x-2[/tex]
Step-by-step explanation:
We want to find the limit:
[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}[/tex]
We can expand the numerator:
[tex]=\displaystyle \lim_{\Delta x \to 0} \frac{(x^2+2x\Delta x+\Delta x^2)+(-2x-2\Delta x)+1+(-x^2+2x-1)}{\Delta x}[/tex]
Simplify. Combine like terms:
[tex]\displaystyle \lim_{\Delta x\to 0} \frac{(x^2-x^2)+(-2x+2x)+(1-1)+(2x\Delta x+\Delta x^2-2\Delta x)}{y}[/tex]
The first three terms will cancel:
[tex]\displaystyle \lim_{\Delta x\to 0} \frac{2x\Delta x+\Delta x^2-2\Delta x}{\Delta x}[/tex]
Factor:
[tex]\displaystyle \lim_{\Delta x \to 0} \frac{\Delta x(2x+\Delta x-2)}{\Delta x}[/tex]
Cancel:
[tex]\displaystyle \lim_{\Delta x\to 0}2x+\Delta x-2[/tex]
Now, we can use direct substitution:
[tex]\displaystyle \begin{aligned} &\Rightarrow 2x+(0)-2\\ &=2x-2\end{aligned}[/tex]
Therefore:
[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}=2x-2[/tex]
Answer:
2x-2
Step-by-step explanation:
let d = delta x
lim as d goes to 0 ( ( x+d)^2 - 2(x+d) +1 - ( x^2 -2x+1))/d
Expand the term in side the parentheses
( ( x+d)^2 - 2(x+d) +1 - ( x^2 -2x+1))
x^2 +2dx +d^2 -2x-2d+1 - x^2 +2x -1
Combine like terms
2dx +d^2 -2d
Replace
lim as d goes to 0 ( 2dx +d^2 -2d)/d
Factor out a d
lim as d goes to 0 d( 2x +d -2)/d
Cancel the d in the numerator and denominator
lim as d goes to 0 ( 2x +d -2)
Take the limit of each term as d goes to zero
2x +0-2
2x-2
Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F?
Answers
Answer:
5 units
Step-by-step explanation:
If both points are translated the same amount, then the length of the line will stay the same.
50+5w+20m what is the coefficient variable and constant in this expression
Answers
Answer:
Find the degree, leading term, and leading coefficient.
Polynomial Degree: 1
Leading Term: 20 m
Leading Coefficient: 20
Step-by-step explanation:
The sum of 43.9 and a number is 49.65, as shown below. What number should go in the box to complete the addition problem? 43.9 plus box _.75 equals 49.65
Answers
43.9 + x = 49.65
Subtract 43.9 from both sides:
49.65 - 43.9 = 5.75
The missing number is 5
Choose all of the statements that correctly define the geometric term. 1)Two rays joined at the same end point form an angle.2) Intersecting lines that form right angles are parallel lines 3) A continuous section of the circumference of a circle is a circular arc. 4)Lines that never intersect or cross each other perpendicular. 5)A circle is the locus of all points a fixed distance from a given center point.
Answers
Answer:
67
Step-by-step explanation:
Answer:
Statements 1, 3, and 5
1) Two rays joined at the same end point form an angle.
3) A continuous section of the circumference of a circle is a circular arc.
5) A circle is the locus of all points a fixed distance from a given center point.
Step-by-step explanation:
Statement 2 is false because it says that intersecting lines that form right angles are parallel lines. Actually, intersecting lines that form right angles are perpendicular lines.
Statement 4 is false because it says that lines that never intersect of cross each other are perpendicular. Actually, lines that never intersect or cross each other are parallel.
A recipe calls for 2 cups of sugar, 2 eggs, 3 cups of flour, and 5 cups of milk. What is the ratio of sugar to flour?
Answers
Answer:
2 cups of sugar:3 cups of flour
Step-by-step explanation:
Because there are 2 cups of sugar and 3 cups of flour used, you can represent this with a ratio - 2 cups sugar:3 cups flour.
Because 2:3 cannot be reduced (it is in its simplest form), this is the final answer.
-2 3/4 divided by 5/-9 = ? in the simplest form
Answers
Answer:
Read Exp:
Step-by-step explanation:
Exact Form:
- 99/20
Decimal Form:
- 4.95
Mixed Number Form:
- 4 19/20
Answer:
Step-by-step explanation:
[tex]-2\frac{3}{4}[/tex] ÷ [tex]\frac{5}{-9}[/tex] = [tex]\frac{-11}{4}[/tex] ÷ [tex]\frac{5}{-9}[/tex]
[tex]=\frac{-11}{4}*\frac{-9}{5}\\\\\\=\frac{99}{20}\\\\\\= 4\frac{19}{20}[/tex]
Traveling at 65 miles per hour how many minutes rounded to the nearest whole number does it take to drive 126 miles from San Diego to Malibu
Answers
65 miles per hour / 60 minutes per hour = 1.083 miles per minute.
126 miles/ 1.083 miles per minute = 116.03 minutes
Rounded to nearest whole number = 116 minutes.
Answer:
116 minutes
Step-by-step explanation:
speed = distance/time
speed * time = distance
time = distance/speed
time = 126 miles / 65 mph
time = 126/65 hours
time = 126/65 hours * (60 minutes)/(1 hour) = 116 minutes
If x = -12, y = -3; find xy?
Answers
Given that :-
x = -12 y = -3To Find :-
Value of xySolution :-
☆ When a negative digit is multiplied with negative digit then the result comes as positive digit .
→ x × y = (-12)(-3)
→ x.y = 36
So the answer is 36.
Answer:
36
Step-by-step explanation:
To find xy, multiply x and y
(-12)(-3) = 36
xy = 36
If $(ax+b)(2x+3)=20x^2+44x+21$, where $a$ and $b$ are two distinct integers, what is the value of the sum $a+b$?
Answers
Answer: 17
Step-by-step explanation:
Given: [tex](ax+b)(2x+3)=20x^2+44x+21[/tex], where a and b are two distinct integers.
First simplify left hand side as
[tex](ax+b)(2x+3)=ax\cdot \:2x+ax\cdot \:3+b\cdot \:2x+b\cdot \:3\\\\=2axx+3ax+2bx+3b\\\\=2ax^2+(3a+2b)x+3b[/tex]
Then comparing left side and right side
[tex]2ax^2+(3a+2b)x+3b=20x^2+44x+21[/tex]
we get 2a = 20 (coefficient of [tex]x^2[/tex]) , and 3b = 21 (constant term)
⇒ a= 10 and b= 7
Then, a+b= 10+7=17
Hence, the value of sum a+b is 17.
If 9 is p present of 17 then p is a number between
Answers
Answer:
40% and 60%
╰(*°▽°*)╯
Step-by-step explanation:
60% of 17 is 10.2 making 40% and 60% the closest choice to 9
So, the answer would be 40% and 60%
╰(*°▽°*)╯
Answer: p lies between 50% and 55%
Step-by-step explanation: if 9 is p percent of 17, then p is a number between what numbers
9 is p percent of 17
Lets make the equation for the given statement
9 = p percent times 17
p percent is p /100
Lets solve for p
multiply both sides by 100
Divide both sides by 17
p= 52.9
Hence we say that p lies between 50% and 55%
Use h(x) = x2 +4 to find x when h(x) = 29.
Answers
Answer:
In this question the value of x is given 29 so put it in the equation to get answer
[tex]h(x) = {x}^{2} + 4[/tex]
put the value of x = 29 in the above equation
[tex]h(x) = {29}^{2} + 4[/tex]
so after solving this equation we get our answer
[tex]h(x)= 841 + 4[/tex]
[tex]h(x) = 845[/tex]
Hope it helps u mate
if u like leave a thank
Answer:
the variable x=12.5
Step-by-step explanation:
so first you will insert 29 to the equation
29= x2+4
now you subtract 4 from 29
29-4= 25
since you are multiplying you have to do the opposite operation which would be division so now divide 25 by 2
25/2
now insert your answer
h(12.5)=(12.5)2+4
h would be considered 2.32
Joseph built a model of a pyramid where the base of the pyramid is a square. If the base has an area of 49 cm2 (squared), what is the side length of the base?
Answers
Answer:
7 cm
Step-by-step explanation:
We are told that the pyramid has a square base of an area of 49 cm².
Therefore, the side length of the base of the pyramid is still the same as the side length of a square having an area of 49 cm².
Area of a square = s², where s is the side length of the square.
The side length of the base can be gotten using the following equation,
[tex] s^2 = 49 [/tex]
Solve for s by looking for the share root of both sides.
[tex] \sqrt{s^2} = \sqrt{49} [/tex]
[tex] s = 7 [/tex]
The side length of the base = 7 cm
Point P is located at (-3,5)
Point P' is the image of P after a translation three units to the left, then a reflection using the x-axis.
Find the coordinates of P'
Answers
Answer:
P' (- 7, - 5 )
Step-by-step explanation:
A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus
P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(- 7, 5 ) → P'(- 7, - 5 )
what does n equal? 2=-9n+22-n
Answers
Answer:
n =2
Step-by-step explanation:
2=-9n+22-n
2 = -10n +22
-20 = -10n
n = 2
Step-by-step explanation:
Grouping like terms
9n+n=22-2
10n=20
Dividing through by 10
n=2
Carmen made 80 ounces of peach jam and 96 ounces of strawberry jam. If each jam Will hold 8 ounces of jam how many jars will she need to hold off jam?
Answers
Answer:
80+96
= 176 total ounces of jam
176 ÷ 8
22 total jars
please help me on this geometry!!!
Answers
Answer:
Solution : 29
Step-by-step explanation:
As this is an equilateral triangle all sides present are congruent.
3x + 8 = 5x - 6 = 2x + 15
3x + 8 = 5x - 6
- 2x = - 14,
x = 7
And hence one side length will be say 3(7) + 8 = 21 + 8 = 29 units. We can double check this solution by substituting x for other side lengths. Remember that all the side length have an equal measure.
5(7) - 6 = 35 - 6 = 29 ✓
2(7) + 15 = 14 + 15 = 29 ✓
of the 60 questions, I got 80% right...How many questions did I get right?
Answers
Therefore you got 48 questions right.
Leonel computed the average rate of change in the depth of a pool over a two week interval to be zero. Which statement is true
Answers
please help I will mark you BRANLEST
Answers
steps
multiply the numbers 3 and -9 which is -27
multiply 6 and 6 which is 36
add them together then it’s 9
Absolute value is the distance from 0
A = -9, take that and times that by 3 to get -27
C = -6 therefore |C| = |-6| = 6, take that and times that by 6 to get 36
-27 + 36 = 9
Meaning the answer would be: A
Hope This Helps!
Use the key features of the polynomial f(x) = 6x^4 + 4x^3 - 5x^2 -2x + 1 to describe its end behavior. A. The left side continues up, and the right side continues up. B. The left side continues down, and the right side continues down. C. The left side continues up, and the right side continues down. D. The left side continues down, and the right side continues up.
Answers
Answer:
A. The left side continues up, and the right side continues up.
Step-by-step explanation:
f(x) = 6x^4 + 4x^3 - 5x^2 -2x + 1
The highest power will describe the end behavior
f(x) = 6x^4
Let x = -∞
f(-∞) = 6 * (-∞)^4 = 6* ∞ = ∞
As x goes to -∞ f(x) goes to ∞
Let x = ∞
f(∞) = 6 * (∞)^4 = 6* ∞ = ∞
As x goes to ∞ f(x) goes to ∞
Which of the following choices will evaluate the expression a2 + b when a = 2 and b = 3?
A. 7
B. 10
C. 25
D. None of these choices are correct.
Answers
Work Shown:
Replace every 'a' with 2, and replace every b with 3
a^2+b = 2^2 + 3 = 4 + 3 = 7
Help please, -16-4g=6g-6g?
Answers
Answer:
the answer is -4
Step-by-step explanation:
-16-4g=6g-6g
+4 +4
you add the -4g to both sides by changeing it to positive
then you have -16=6g-2g
then you go to the right side of the equation and solve, 6-2 is 4 then you have
-16=4g then you divide on both sides
-16 divided by 4 is
-4
Answer:
[tex]\Huge \boxed{g=-4}[/tex]
Step-by-step explanation:
[tex]-16-4g=6g-6g[/tex]
Combining like terms.
[tex]-16-4g=0[/tex]
Adding 4g to both sides.
[tex]-16=4g[/tex]
Dividing both sides by 4.
[tex]-4=g[/tex]
Solve for 20 points, 5stars and brainliest
Answers
Hey there!
Functions are basically like machines you put a number into and they give you a new one as an output. This f represents this machine. f(x) represents whatever the output is because it is the x after it has gone through the function machine.
We want to figure out what x is when f(x)=12. Well, we can simply replace f(x) with 12 in the first equation and solve for x!
12=-16x+8
We flip the equation so x is on the left side.
-16x+8=12
We subtract 8 from both sides.
-16x=4
We divide both sides by -16.
x=-1/4
Have a wonderful day! :D
Answer:
f(x) = -16x + 8
F(x) = 12
=> f(12) = -16x + 8
=> 12-8 = -16x + 8 - 8
=> 4 = 16x
=> 4/16 = 16x/16
=> 1/4 = x
So, the answer is 1/4.
You can just keep 0 as the whole number to answer this question.