Answer:
Step-by-step explanation:
Sample space of die 1 = {1,2,2,3,3,4}
Sample space of die 2 = {1,3,4,5,6,8}.
The highest value that we get by rolling die 1 is 4 and die 2 is 8, which give the sum 12. So, we cannot have any other combinations other than this , as the highest value itself gives 12.
Rolling a sum of 12 with the dice = {(4,8) }
Probability = 1/36
What is the value of the first term in the following arithmetic sequence?
-9, -2, 5, 12, ...
-9
7
9
-7
Answer:
-9
Step-by-step explanation:
the first number
hope it is well understood
1/6 of the age of a mother is the age of her daughter. If the difference of their ages is 35 years, find the age of the mother.
Answer:
24 6
Step-by-step explanation:
""6_6_6&6&6&6__5ddyfouoyfkykyky
Find the solution of this system of equations
4x - 5y = -12
-X + 5y = 18
4x - 5y = -12
-x + 5y = 18
Add the equations together:
4x + -x = 3x
-5y + 5y = 0
-12 + 18 = 6
So now you have:
3x = 6
Divide both sides by 3:
X = 2
Now you have the value of x, replace x with 2 in one of the equations and solve for y:
4(2) -5y = -12
8 -5y = -12
Subtract 8 from both sides:
-5y = -20
Divide both sides by -5:
Y = 4
The solution is x = 2 and y = 4 which is written as (2,4)
What is the area of the right triangle below? A. 96 sq. units
B. 11 sq. units
C. 22 sq. units
D. 48 sq. units
Answer:
D. 48 sq. units
Step-by-step explanation:
Area of a triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 16) *6
A = 48
To the nearest degree, find the measure of angle A?
Answer:
I would say 26 or 42 but i would o with 26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
[tex]arccos\left(\frac{18}{20}\right)[/tex] = 25.8
During a sale, Cindy found boxes of dog biscuits on sale for $0.69 that had previously cost $2.23. What percentage is the discount?
Answer:
The dog biscuits are approximately 69% off.
Step-by-step explanation:
(1 - 0.69/2.23) * 100
(223/223 - 69/223) * 100
154/223 * 100 = 69%
Help please I need 6 and 8
A simple random sample is drawn from a normally distributed population. The value of which of the following will not
known for certain but can be inferred?
o u
o-x
os
on
If triangle BCD was reflected over the x-axis, what would be the coordinates of the new triangle's vertices?
A. (-1, 0), (-1, -2), (-4, 1)
B. (-1, 0), (-1, 2), (-4, 1)
C. (-1, 0), (-1, 2), (4, -1)
D. (1, 0), (-1, 2), (-4, 1)
on time 4 learning
Answer:
b the answer is B because
Bob's Shoe Emporium sold 5,787 shoes in March. In April they sold 6,245 shoes. How many more shoes did they sell in April than in March? Explain how you got your answer.
Given a line segment that contains the points A,B, & C in order, if AB = x - 2, and BC = 2x + 6, and AC = 19, find x.
Samantha found a great deal on sweatshirts at the mall and bought 5 sweatshirts at the
Super Duper sale price. Allison went the next day, but the sale was over, so she only bought
2 sweatshirts and paid $30 more per sweatshirt than Samantha. If the total cost of all 7
sweatshirts was $340, how much did one sweatshirt cost at the Super Duper sale price?
Answer:
$40
Step-by-step explanation:
You have two sweatshirts that cost $30 more the day after.
First, you do [tex]340 -(2*30)[/tex]
Second, you divide what you got above ($280), by 7 and voila, you have $40 per sweatshirt.
suppose the team wins ten of it's following remaining 18 games. What is it's winning percentage?
the graph of a linear function is given below
Answer:
A
Step-by-step explanation:
The zero of the function is where the y-value is zero.
then it's -5
4×((-1+2-3+4-5+6-7...+1000)
-1 + 2 - 3 + 4 - 5 + 6 - … - 999 + 1000
= -(1 + 3 + 5 + … + 999) + (2 + 4 + 6 + … + 1000)
= -((2 - 1) + (4 - 1) + (6 - 1) + … + (1000 - 1)) + 2 (1 + 2 + 3 + … + 500)
= -((2 + 4 + 6 + … + 1000) - 500) + 2 (1 + 2 + 3 + … + 500)
= -(2 (1 + 2 + 3 + … + 500) - 500) + 2 (1 + 2 + 3 + … + 500)
Let S = 1 + 2 + 3 + … + 500. Then this sum is equal to
= -(2S - 500) + 2S
= -2S + 500 + 2S
= 500
and multiplying by 4 gives 2000.
Answer:
[tex]4\times \left(\left(-1+2-3+4-5+6-7+1000\right)\right)[/tex]
[tex]calculate\: within \: the \:parentheses[/tex]
[tex]-1+2=1[/tex]
[tex]=1-3+4-5+6-7+1000[/tex]
[tex]1-3=-2[/tex]
[tex]=-2+4-5+6-7+1000[/tex]
[tex]-2+4=2[/tex]
[tex]=-3+6-7+1000[/tex]
[tex]3-7+1000[/tex]
[tex]=-4+1000[/tex]
[tex]=996[/tex]
[tex]Multiply:-[/tex]
[tex]4\times996[/tex]
[tex]=3984[/tex]
--------------------------
Hope it helps..
Have a great day!!
A rectangular prism has a square base with edges measuring 8 inches each. Its volume is 768 cubic inches. Find the height and the surface area of the prism
Answer:
Height = 12in
Surface area = 320in²
Step-by-step explanation:
Given
Length of the square base = 8in
Volume of the prism = 768 cubic inches
Using the formula;
Volume of the prism = Base area * Height of prism
768 = 8² * H
768 = 64H
H = 768/64
H = 12in
Hence the height of the prism is 12in
Get the surface area
Surface area = 2l² + 2lh
Surface area = 2(8)² + 2 (8)(12)
Surface area = 128 + 192
Surface area = 320in²
Hence the Surface area of the prism is 320in²
Can someone help me with this math homework please!
f(2)= f(1+1) ,where n= 1
=-6
= -2×3
= -2f(1)
f(n+1 )= -2f(n)
OPTION C is the correct answer
Answer:
option 3 is the answer.
Step-by-step explanation:
3, - 6, 12, - 24, 48, .....
Here,
f ( 1 ) = 3
f ( 2 ) = - 6
f ( n + 1 ) = - 3 f ( n )
f ( 1 + 1 ) = - 3 f ( 1 )
f ( 2 ) = - 3 x 3
f ( 2 ) = - 9
This recursive formula is not correct.
f ( n + 1 ) = - 2 f ( n )
f ( 1 + 1 ) = - 2 f ( 1 )
f ( 2 ) = - 2 ( 3 )
f ( 2 ) = - 6
This recursive formula is correct.
Cho Hình chóp S.ABC Có đáy là tam giac đều cạch a. SA vuông góc với đáy, SA=a . Tính góc giữa SB và mặt phẳng đáy
Answer:
45 độ
Step-by-step explanation:
SA vuông góc (ABC) => góc SAB = 90 độ; góc giữa SB và mặt phẳng đáy = góc SBA
SA=AB=a => SAB là tam giác cân
KL: góc giữa SB và mặt phẳng đáy SBA = 45 độ
Help pls!
Suppose ten distinct, positive integers have a median of 10. ("Distinct integers" means that no two integers are the same.)
What is the smallest the average of those ten integers could be?
Explain your answer in complete sentences.
Answer:
8.4
Step-by-step explanation:
Since we want to minimize the average, the integers should be made as small as possible. So, we have 4 integers:
1, 2, 3, 4
However, the median must be 10. The next two integers must have an average of 10 - and since the integers are distinct, we should use:
9, 11
From there, we use the smallest integers (that are still above 11) possible:
12, 13, 14, 15
The average of these 10 integers is 84/10, or 8.4.
The median is still 10, because (9+11)/2 is 10.
Answer:
8 (or 8.4)
Step-by-step explanation:
First, the problem states the words: Distinct and positive.
That means that the smallest number we can use is 0.
We can make 10 blanks for 10 numbers for us to fill in.
_ _ _ _ _ _ _ _ _ _
Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.
In this case, our two numbers are the 5th and 6th blank.
Any two numbers can be used, as long as they are the same actual value from 10.
Let us first put in the numbers we can, which are the numbers before the two middle blanks.
0,1,2,3, _ _ _ _ _ _
To find the median between two numbers, we can do:
(a+b) divided by 2 = median
We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.
Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.
4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.
Now let's place the other numbers in for these two equations.
0,1,2,3,4,16,17,18,19,20
0,1,2,3,9,11,12,13,14,15
If we add the numbers of each together, we get:
0,1,2,3,4,16,17,18,19,20=100
0,1,2,3,9,11,12,13,14,15= 80
If we now divide each sum by 10 (to find the average) we get:
10
8
Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.
Since the smaller answer we got was 8, the answer must be 8.
(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process
i need help asap!!!!!!!! thanks
Answer:
A.
C.
Step-by-step explanation:
range of a function is the number interval of the y (function) values.
the domain is the number interval of the x (input) values.
A.
this function has only one constant functional value : -5
so the range is the set with only that one value.
B. no, the line goes across all possible values of x.
it is therefore not limited to a single value.
C. see B. therefore, true.
D. see A. no, only one value.
E. is simply a wrong statement. it would not be a function, if there is an x that has more than one y value. but that is not the case here. every x value has exactly one y value. they are all the same, but that does not matter.
Next year, air fares will rise by 3%.
Calculate the new price of a R 1 400 ticket.
9514 1404 393
Answer:
₹1442
Step-by-step explanation:
The new price will be 1+3% = 1.03 times the old price.
₹1400 × 1.03 = ₹1442
x-2y=-4
3x+y=9
solve the simultaneous equation (find x & y)
Which of the graphs represent y=-x^2
Answer:
Step-by-step explanation:
Can't see all the graphs, but the graph of [tex]y=-x^2[/tex] is an upside down parabola with the vertex at the origin.
india says that (3³)² is equivalent to 243 because the exponents should be added when simplifying the expression. explain why india is incorrect.
pls help
Answer: India is incorrect because you multiply the exponents are supposed to be multiplied not added
Step-by-step explanation:
Write an equation of the direct variation that includes the point (9, –12).
(A.) y = 1 1/3x (B.) y = - 1/12x (C.) y = 1 1/3x (D.) -3/4x ...?
Answer:
I think you have a typo in you choices...
y = -4/3 x is the answer...
which is the same as y = - 1 1/3 x
you don't have that choice, "A" and "C" are the same..
I think that one of them is "y = - 1 1/3 x "
y = kx
-12 = k 9
k = -12/9 = -4/3
Step-by-step explanation:
Corey and Courtney are 210 feet apart when they start walking toward one another. Courtney walks twice as fast as Corey so whenever Corey travels
x
feet, Courtney travels
2
x
feet. Let
x
represent the number of feet Corey has traveled since he started walking toward Courtney.
Write an expression in terms of x to represent the distance (in feet) between Corey and Courtney.
Answer:
210 - 3x
Step-by-step explanation:
Evaluate 16x if x = - 3.
Answer:
16×-3
-48
I hope it's helps you
Answer:
-48
Step-by-step explanation:
16(-3) = -48
yea...we most def ain't learn this in class
Answer:
F. 300,000
Step-by-step explanation:
logically, it is decreasing by 1.
Help asap
Whoever helps me I will pay you up thanks :)
Answer:
6.
2
1
3
10.9 to 1 place
7
a.) 36
b.)3
c.)65
d.)13
Step-by-step explanation:
Can someone help me please like please I need to turn it in like in 10 minutes