A jar contained 8 balls: 6 red, 1 green and 1 blue. We randomly take a ball out of the jar. Once a ball is selected we do not put it back. We keep selecting balls until for the first time we get a blue one. We count the number of times we had to draw a ball, (including the last drawing) until we actually got the blue ball. How many elements are in the sample space for this experiment
Answer:
35
Step-by-step explanation:
Given that :
Number of balls = 8
Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)
Possibilities unt a blue ball is picked :
B, RB, GB, RRB, RGB, GRB, G
Draw 1 = B = 1
Draw 2 = B = 2C1 = 2
Draw 3 = B = 3C2 = 3
Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4
Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5
Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6
Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7
Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7
Taking the sum:
(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35
There are 35 elements in the sample space
Compute 292,000 divide 100
Answer:
Step-by-step explanation:
is pretty simple
292,000/100=2,920
BONJOUR asker
Answer:
2920
Step-by-step explanation:
292000 divided by 100 is 2920
#CarryOnLearning
heyoitzmeh from Philippines
you can foIlow me in my brainly in Philippines
A storeowner bought a sweater for $3000 and added 15% to
this to get the selling price. At a sale he decided to offer a 10%
discount of selling price. How much profit did the storeowner
make on the sweater?
John has 4.5 x 10^6 dollars in his bank account. Jacob has 1.3 x 10^7 dollars in his bank account. who has more money and by how much
Answer:
Jacob has more. $8,500,000 more.
Step-by-step explanation:
4.5 x 10^6 can be expressed as 4500000. and 1.3 x 10^7 can be expressed as 13000000. subtract, and you get %8,500,000
Kylie's family took a road trip to Mount Rushmore. Kylie fell asleep 34% of the way
through the trip. If Kylie fell asleep after they had travelled 306 miles, what was the
total length of the trip?
Answer:
2 miles
Step-by-step explanation:
The total length of the trip is 464 miles
An equation is used to show the relationship between two or more numbers and variables.
Let x represent the total length of the journey.
Kylie fell asleep after they had travelled 306 miles and she fell asleep 34% of the way. Therefore:
(100% - 34%) of x = 306
66% of x = 306
0.66x = 306
x = 464 miles
The total length of the trip is 464 miles
Find out more on equation at:https://brainly.com/question/24868934
I need help on this please
Answer:
x = 60°
y = 60°
Step-by-step explanation:
It's an equilateral triangle, all angles are congruent.
Todd is saving for a vacation. The cost of his vacation is $1,089. Todd has a year to save the money. About how much does he need to save each month to reach his goal?
Answer:
1 year= 12 months
Total amount= $1089
Hence the amount he need to save each month is given by
Saving=1089/12
Saving=$90.75
Step-by-step explanation:
help!! i added the attachment
Express the inverse of the following matrix (assuming it exists) as a matrix containing expressions in terms of k.
[-25 -25 -25]^-1 [0 0 0]
[ k 0 3] = [0 0 0]
[-5 -5 -3] [0 0 0]
Answer:
the Inverse of the matrix is; A⁻¹
[tex]= \left[\begin{array}{ccc}\frac{-3}{(2k)} &\frac{1}{k}&\frac{15}{(2k)}\\\frac{-3k+15}{(10k)}&\frac{-1}{k}&\frac{-75+13k}{(10k)}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right][/tex]
Step-by-step explanation:
Given the data in the question;
Matrix A = [tex]\left[\begin{array}{ccc}-25&-25&-13\\k&0&3\\-5&-5&-3\end{array}\right][/tex]
To find the Inverse of matrix A
A⁻¹ = Adj.A / det.A
so
Determinant of the matrix A will be
|A| = -25( 0 + 15) + 25( -3K + 15 ) - 13( -15K + 0 )
= -375 - 75K + 375 + 65K
= -10K
Now, the adjoin of matrix A will be
Adj.A = [tex]\left[\begin{array}{ccc}15&-10&-75\\3k-15&10&75-13k\\-5k&0&25k\end{array}\right][/tex]
The Inverse of the matrix is;
A⁻¹ = Adj.A / det.A
[tex]= \frac{1}{-10k} \left[\begin{array}{ccc}15&-10&-75\\3k-15&10&75-13k\\-5k&0&25k\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}\frac{15}{-10k} &\frac{-10}{-10k}&\frac{-75}{-10k}\\\frac{3k-15}{-10k}&\frac{10}{-10k}&\frac{75-13k}{-10k}\\\frac{-5k}{-10k}&\frac{0}{-10k}&\frac{25k}{-10k}\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}\frac{-3}{2k} &\frac{1}{k}&\frac{15}{2k}\\\frac{-3k+15}{10k}&\frac{-1}{k}&\frac{-75+13k}{10k}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}\frac{-3}{(2k)} &\frac{1}{k}&\frac{15}{(2k)}\\\frac{-3k+15}{(10k)}&\frac{-1}{k}&\frac{-75+13k}{(10k)}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right][/tex]
Therefore the Inverse of the matrix is; A⁻¹
[tex]= \left[\begin{array}{ccc}\frac{-3}{(2k)} &\frac{1}{k}&\frac{15}{(2k)}\\\frac{-3k+15}{(10k)}&\frac{-1}{k}&\frac{-75+13k}{(10k)}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right][/tex]
WRITE THE FIRST 4 TERMS OF THE SEQUENCE DEFINED BY THE GIVEN RULE ( PLEASE ANSWER FAST PLEASE QUICKLY WILL GIVE BRAINLIEST AND THANKS!!!! PLEASE HURRY!!!!)
Step-by-step explanation:
5.) f(1) = 7, f(n) = -4※f(n-1) + 15
[tex]f(2) = - 4 \times 7 + 15 = - 13 \\ f(3) = - 4 \times ( - 13) + 15 = 67 \\ f(4) = - 4 \times 67 + 15 = - 253[/tex]
The first four terms are 7, -13, 67, -253.
7.) f(1) = 3, f(n) = [f(n-1)]²
[tex]f(2) = (3)^{2} = 9 \\ f(3) = ( {9)}^{2} = 81 \\ f(4) = ( {81)}^{2} = 6561[/tex]
The first four terms are 3, 9, 81, 6561.
Can a parallelogram also be a rectangle
Answer:
yes
Step-by-step explanation:
Answer:
sometimes
Step-by-step explanation:
Please do both questions and explain
I'll give brainliest
9514 1404 393
Answer:
12√2
24√2
Step-by-step explanation:
The Pythagorean theorem tells you the square of the slant length is the sum of the squares of x and the height:
(6√11)^2 = x^2 + (6√3)^2
x^2 = 36·11 -36·3 = 36·8 = 144·2
x = 12√2 . . . . length of 1/2 the house
The full length of the house is double this value:
2x = 24√2 . . . . full length of the house
Heating and cooling bills will be about % less than in a similar wood-framed building in upstate New York. An ICF home will be approximately % more expensive to construct than a wood-framed home. For a typical ft home costing $ ft to construct in upstate New York and costing $ per month to heat and cool, how many months does it take for a ft ICF home to pay back its extra construction cost?
Complete question :
Insulated concrete forms (ICF) can be used as a substitute for conventional wood framing in building construction. Heating and cooling bills will be about 60% less than in a similar wood-framed building in upstate New York. An ICF home will be approximately 10% more expensive to construct than a wood-framed home. For a typical 1,800 ftsquared2 home costing $130 ftsquared2 to construct in upstate New York and costing $260 per month to heat and cool, how many months does it take for a 1,800 ftsquared2 ICF home to pay back its extra construction cost?
Answer:
150 months
Step-by-step explanation:
Wood framing Construction cost :
Cost per ft² = $130
Total cost for 1800 ft² :
1800 * $130 = $234,000
Heating and cooling cost = $260
An ICF home:
Construction cost will be approximately 10% more expensive :
Hence, total cost of ICF = (1.1) * 234000 = $257,400
Extra cost on construction :
$257,400 - $234000 = $23,400
Heating and cooling cost ; 60% less expensive = (1 - 0.6) * $260 = $104
Saving in heating and cooling = $260 - $104 = $156 monthly
Number of months it takes to pay extra cost on construction :
Extra cost on construction / saving in heating & cooling
= $23,400 / $156
= 150 months
What is the better buy? 2 for $3.00 (Or) 8 For $12.40
Answer:I say 8 for $12.40
Step-by-step explanation:
Answer:
8 for 12.50
Step-by-step explanation:
12.50/8 = 1.55
3.00/2= 1.50
youre getting 6 more pens for only 5 cents more
Write the equation of a line that passes through the point (4, -2) and is perpendicular to y = 3.
Answer:
x = 4
Step-by-step explanation:
When something is perpendicular, it must form a 90° or right angle [it will make a square]. Also keep in mind that perpendicular lines have reciprocal [numerator and denominator switch] slopes [steepness]
If you are given a line with a slope of zero like y = 3, any given line of x will be perpendicular. This is because when y = n; x is undefined. When x = n ; y is undefined. Since you want a line that will go through point (4, -2) and will be perpendicular to y = 3, just set x to the value of x in the coordinate. And in this case x is 4 so x = 4 will be the equation.
Can someone please explain this!
(-5x^2+3)-(-x^3+9x^2+9)
9514 1404 393
Answer:
x^3 -14x^2 -6
Step-by-step explanation:
Your expression is the difference of two polynomials. The parentheses can be removed by using the distributive property. The minus sign outside the second set of parentheses applies to each term inside parentheses.
-5x^2 +3 +x^3 -9x^2 -9
Now, you can group like terms. In "standard form", the degrees of the terms decrease from left to right.
x^3 +(-5x^2 -9x^2) +(3 -9)
And combine like terms.
x^3 -14x^2 -6 . . . . . simplified form of the given expression
What is the right answer for the ordered pairs?
Answer:
D. (2, -3) and E. (4,-1)
Step-by-step explanation:
In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).
Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)
simplify the fraction completly
75/100
4 pounds of bananas cost $6 dollars what is the cost per pound
Answer: The cost per pound for bananas is $1.5 per pound.
Step-by-step explanation:
To get this answer you will divide the cost by the amount of bananas you have.
Solve the following inequality: -3x - 8 > -32
Answer:
x < 8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
PLEASE HELP 21 POINTS
John has a round swimming pool.The distance from the center of the pool to the edge is 3 meters.What is the diameter of John pool
answer:
the one described is the radius, so the diameter is 6 meters
3 X 2 = 6
-- please mark the brainliest and click the thanks button if correct :)
Answer:
6 meters
Step-by-step explanation:
The equation to find the diameter of a circle is,
radius * 2.
The radius of the swimming pool is 3, so 3 * 2 is 6.
need help fast im giving 20 points
Answer:
c
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
C x=55
Step-by-step explanation:
the angles of a trianlge add up to 180
the unmarked angle is also 35 because of the same side length
35+35=70
180-70=110
BUT 2x=110 so x=55
P.S Can I get brainlist?
Describe its graph.
4 – 5x > 19
Answer:
X is greater than 4.6
Step-by-step explanation:
Enter the missing base
1,024= ?⁵
Which expression is equivalent to -2v+(-4)+8+(-3v)?
Answer:
5v+4
Step-by-step explanation:
Need help don’t know what to do I’m confused
Does anybody know the answer to this
Answer: I believe it's b
Step-by-step explanation:
\pi = 3.14159265...
It is most likely b
The failure of a circuit board interrupts work that utilizes a computing system, until a new board is delivered. The delivery time, Y, is uniformly distributed on the interval two to six days. The cost of a board failure and interruption includes the fixed cost c0 of a new board and a cost that increases proportionally to Y2. If C is the cost incurred, C = c0 + c1Y2.
A) Find the probability that the delivery time exceeds two days.
B) In terms of c0 and c1, find the expected cost associated with a single failed circuit board.
Answer:
a) 1 ( 100% )
b) Co + 46/3 C1
Step-by-step explanation:
Delivery time = Y
Interval = 2 to 6 days
cost incurred ( C ) = Co + C1 Y^2
a) determine the probability that the delivery time exceeds two days
since the delivery time is uniformly distributed on the interval 2 to 6 days the probability of having a delivery time > 2 days will be = 1
b) Determine the expected cost associated with a single failed circuit board
E ( Y^2 ) = 46/3
hence the cost associated with a single failed circuit board =
E ( C ) = Co + 46/3 C1
attached below is a detailed solution
what is 7.42 divded by 1.75
Answer:
4.24
Step-by-step explanation:
the calculator says otherwise (but yea its 4.24