The required probability for a number of problems given is as follows, 1.) 1 / 3 2.) 1 / 5, and 3.) 1 / 4.
Here,
A jar consists of 4 red marbles, 5 yellow marbles, 3 green marbles, and 3 blue marbles.
Total number of marbles = 15
1) probability that the outcome contains green and/or blue marbles only,
= 2 / 6 = 1 / 3
2.) probability that the outcome contains only green marbles,
= 3 / 15 = 1 / 5
3.) the probability that the outcome contains no green marbles,
= 3 / 12 = 1 / 4
Thus, the required probability for a number of problems given is as follows, 1.) 1 / 3 2.) 1 / 5, and 3.) 1 / 4.
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Determine the relationship between set A and set B if A intersects B=B.
B ∪ A is the relationship between Set A and Set B.
We have two sets A and B.
We have to determine the relationship between set A and set B if A intersects B = B.
What is a Set?A set is a collection of elements, numbers or objects, represented within the curly brackets { }.
According to the question -
A ∩ B = B.
This means that the intersection of set A and set B is equal to B. This means common elements in both the set are same as the elements of set B. This can only happen when -
B ∪ A → B is the subset of A.
Hence, B ∪ A is the relationship between Set A and Set B.
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The graph of linear function g is shown on the grid (- 8, 3) (- 3, - 4.5)
What are the coordinates of the y-intercept?
The co-ordinates of the y-intercept is (0,-9) .
Y-intercept is the point on the graph where the graph passes over the y-axis.
To calculate the y-intercept we have to graphically represent the curve and pick out the points where the graph crosses over the x-axis.
For a graph with an equation in the form y = f(x) , y intercept can be calculated by substituting the value of x as 0 in the equation.
In the graphical representation we can see that the graph passes through (- 8, 3) and (- 3, - 4.5).
Therefore the slope of the line passing through these points is given by:
[tex]m=\frac{-4.5-3}{-3-(-8)} \\\\m=\frac{-7.5}{5} \\\\m=-\frac{3}{2}[/tex]
Now the equation of the line is given by :
[tex]y-3 =- \frac{3}{2} (x-(-8))[/tex]
[tex]y-3 =- \frac{3}{2} x - 12[/tex]
[tex]y=- \frac{3}{2} x - 9[/tex]
Therefore at x = 0 , the value of y is -9.
So the y-intercept is given by the point (0,-9) .
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The coordinates of the y-intercept are ( 0 , 9 / 5 ) .
Finding equation of line :
( y - 3 ) / ( x + 8 ) = ( 3 + 4.5 ) / ( - 8 + 3 )
( y - 3 ) / ( x + 8 ) = ( 7.5 ) / ( - 5 )
- 5 y + 15 = 7.5 x + 6
- 5 y - 7.5 x + 9 = 0
Equation of line : 5 y + 7.5 x - 9 = 0
Writing equation in Slope - Intercept form
y = m x + c
y = [ ( - 7.5 x ) / ( 5 ) ] + [ 9 / 5 ]
Hence , y - intercept = 9 / 5 .
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add polynominals (3-4 x + 8x^2) + (-6+2x-5x^2)
Answer:
Step-by-step explanation:
The sum of the polynomials in the equation is 3x² - 2x - 3
Step-by-step explanation:
(3 - 4x + 8x²) + (-6 + 2x - 5x²)
Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.
3 - 4x + 8x² - 6 + 2x - 5x²
Combine like terms.
- 3 - 2x + 3x²
Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.
3x² - 2x - 3
[tex] \bf \implies \: {3x}^{2} - 2x - 3 \\[/tex]
Step-by-step explanation:[tex] \bf \longrightarrow(3 - 4x + {8x}^{2}) + ( - 6 + 2x - {5x}^{2}) \\ \\ \bf \longrightarrow3 + - 4x + {8x}^{2} + - 6 + 2x + - {5x}^{2} \\ \\ \bf \longrightarrow( {8x}^{2} + - {5x}^{2} ) + ( - 4x + 2x) + (3 + - 6) \\ \\ \bf \longrightarrow {3x}^{2} + - 2x + - 3 \\ \\ \bf \longrightarrow \boxed{{3x}^{2} - 2x - 3} \: ans.[/tex]
Which of the following equations have no solutions?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
-40x+40=20x+20−40x+40=20x+20minus, 40, x, plus, 40, equals, 20, x, plus, 20
(Choice B)
B
-20x+40=-20x+20−20x+40=−20x+20minus, 20, x, plus, 40, equals, minus, 20, x, plus, 20
(Choice C)
C
20x+40=40x+2020x+40=40x+2020, x, plus, 40, equals, 40, x, plus, 20
(Choice D)
D
40x+40=40x+2040x+40=40x+20
The equations which have no solution are choices A, B, C and D.
What are equations?A statement of equality between two expressions that include variables and/or numbers is referred to as an equation. In fact, mathematics is a question, and the development of mathematics has been driven by efforts to find systematic answers to those questions.The following is an example of an equation:An equation is a mathematical statement made up of two expressions linked together by an equal symbol. 3x - 5 = 16 is an example of a sum. Upon solving this problem, we get the value of the variable x = 7.Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.
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What is the equation of a line that passes through the point (2,−2) and is perpendicular to y=x/4−3 ?
Answer: y = -4x + 6
Step-by-step explanation:
supposing m1 is the gradient of the line for whose equation we want to find
m1 * m2 =-1 for perpendicular lines
if m1 = 1/4
meaning m2 = -4
m2= -4 at point (2,-2)
we can get value of constant c
y = mx =c
-2 = (-4)(2) +c
c = 6
substituting c and m2 in gen eqn of line : y =mx +c
y = -4x + 6
Find the volume of the Figure. Round your answer to the nearest tenth.CYLINDER
22 ft diameter and 5ft in height
Volume: ?ft3
Answer:
I don't know if it is correct
Step-by-step explanation:
v=πrh
v=22/7×11×5
v=22/7×55
v=172.857
v=17.
The rate of bacteria growth in a laboratory experiment was measured at 15% per hour. If this experiment is repeated and begins with 6 grams of bacteria, how much bacteria should be expected after 12 hours? Round to the nearest tenth of a gram.
The amount of bacteria after 12 hours would be 8 grams
What is rate?Rate can be defined as the ratio between two quantities that are related in size but may be in different units.
It is also known as the ratio of comparison between quantities of different units.
From the information given, we have that;
The rate of the laboratory experiment is 15% per hoursIt started at 6 gramsTo determine the amount of bacteria after 12 hours, we have;
= 12 × 15/ 100
multiply and find quotient
= 1. 8
In 12 hours, the amount of bacteria is ;
= 6 + 1. 8
= 7. 8 grams
= 8 grams
Thus, the amount of bacteria after 12 hours would be 8 grams
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Put the equation y =x^2-8x + 12 into the form y(x-h)^2+k
Answer: y =
[tex]y = x {}^{2} - 8x + 12 \\ y = x {}^{2} - 8x + 12 + 4 - 4 \\ y = (x {}^{2} - 8x + 16) - 4 \\ y = ( x - 4)^{2} - 4[/tex]
Please answer the following question
Answer:x is greater than or equal to 0
Step-by-step explanation:
candidate wants to use a combination of radio and television advertisements in her campaign. Research has shown that each 1-minute spot on television reaches 0.09 million people and that each 1-minute spot on radio reaches 0.006 million. The candidate believes she must reach at least 2.16 million people, and she must buy a total of at least 80 minutes of advertisements. How many minutes of each medium should be used to minimize costs if television costs $900/minute and radio costs $200/minute?
The number of minutes of each medium should be used to minimize costs if television costs $900/minute and radio costs $200/minute is 45 minutes and 3.33 minutes respectively.
InequalityNumber of minutes of television advertising = xNumber of minutes of radio advertising = yx ≥ 0
y ≥ 0
x + y ≤ 80
0.09x + 0.006y ≤ 2.16
From (1)
x ≤ 80 - y
Substitute into (2)0.09x + 0.006y ≤ 2.16
0.09(80 - y) + 0.006y ≤ 2.16
7.2 - 0.09y + 0.006y ≤ 2.16
7.2 - 0.084y ≤ 2.16
-0.084y ≤ 2.16 - 7.2
-0.084y ≤ -5.04
y ≤ -5.04 / -0.084
y ≤ 60
Substitute into (1)x + y ≤ 80
x + 60 ≤ 80
x ≤ 80 - 60
x ≤ 20
The number of minutes of each medium should be used to minimize costs if television costs $900/minute and radio costs $200/minute is
Television = $900 / 20
= 45 minutes
Radio = $200/60
= 3.33 minutes
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A human gene carries a certain disease from the mother to the child with a probability rate of 57%. That is, there is a 57% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another. Find the probability that all three of the children get the disease from their mother. Round to the nearest thousandth.
3/57×100
1/19×100
100/19
3.263157.
This is all that I can do to help you
A cat's heart beats approximately 45 times in 15 seconds. At this rate how many times does the cat's heart beat per second?
Answer:
3 heartbeats per sec.
Step-by-step explanation:
Number of heartbeats / Total time will give the rate or number of heartbeats per sec.
15 s = 45 heartbeatsThen, 1 s = 45/15 = 3 heartbeats! (ans)Help please!
1) rotation 90° counterclockwise about the
origin
Tyler swam 72.8 miles in 14 weeks. How far did Tyler swim each week? (I think it's 5.2)
14 needs to be solved.
According to the solving the amount should be invested in each account should be :$500.
Interest described as:A borrower as well as deposit-taking financial organization paying interest to a lender or depositor on an amount in excess of the original payment at a specified rate. It is not the same as a fee paid by the borrower to the lender or a third party.
How do you express an interest in accounting?Debit your Interest Expense account and credit our Accrued Interest Payable account to record the accrued interest for an accounting period. This increases the value of your expenditure as well as payable accounts.
According to the given data:Let the amount invested at 5 be x.
Let the amount invested at 6% be 2000 - x.
Interest on 5% will be 0.05
Interest on 6% will be 6%(2000 - x) = 120 - 0.06x
This will be:
0.05x + 120 - 0.06x = 105
- 0.01x = -15
x = 1500
The amount invested at 6% will be:
= 2000 - 1500
= 500
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46 + 81 rounds to LOOK AT THE PIC HELPZ?
Answer:
46+81 round to 50+80=130 46+81=127
Step-by-step explanation:
Because 46-50
81-80
46+81=127
) A color printer prints20 pages in 19 minutes. How many pages does it print per minute?
What is the solution to the system of equations graphed below?
Answer: D
(1,5)
Step-by-step explanation:
find the domain y=1-7x/8-|3x-15|
Given the relationship shown in the table, what is f(6)?
Step-by-step explanation:
f(x) , when x = 0 → f(x) = 6
So, f(0) = 6
f(x) , when x = 5 → f(x) = 7
So, f(5) = 7
f(x) , when x = 6 → f(x) = -3
So, f(6) = -3
f(x) , when x = 8 → f(x) = 10
So, f(8) = 10
The answer is A.
10 is co "meghan and hopsida do their math homework together. When they first find 5 - (-8), meghan in they gets -13 but hopsida gets 13. what error led to the incorrect difference" Hopsida is correct.
The error led to the incorrect difference is-
meghan and hopsida do their math homework together
To find,
5 - (-8)
meghan's answer = -13hospida's answer = 13 5 - (-8)=5+8=13meghan's answer was incorrect.
meghan put the neagative sign before 13 that's why there was difference in the answer.
Definition for difference in Math
distinction in math is the result of one of the essential mathematical operations, that is obtained by using subtracting numbers. It tells us by means of how lots a range of differs from the other.
How do you find difference in math?
a way to locate the difference among two Numbers. To discover the difference among numbers, subtract the number with the smallest value from the wide variety with the biggest cost. The fabricated from this sum is the distinction between the 2 numbers. consequently the distinction between forty five and one hundred is fifty five.
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12 1 Affendy, Ben, Cheong and Derrick sold some tickets for a charity carnival. Affendy sold of the total number of tickets. Ben, Cheong and Derrick sold the remaining tickets in the ratio of 4: 3:9. Derrick sold 1315 more tickets than Ben. (a) (b) (c) How many tickets did Ben sell? What was the total number of tickets sold by Ben, Cheong and Derrick? How many tickets did the four boys sell altogether?
Answer:
Wish i could help
Step-by-step explanation:
Subtract the quotient of 21 and 7 from 10
Answer:
Step-by-step explanation:
21 divided by 7 is 3 so 3 minus 10 is negative 7
The solution is : 7 when subtract the quotient of 21 and 7 from 10.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
given that,
the quotient of 21 and 7
i.e. we have to divide 21 by 7
i.e. 21/7 = 3
so, we get,
the quotient of 21 and 7 is 3
now, we have to Subtract 3 from 10
i.e. 10 - 3
= 7
so, we get,
21 divided by 7 is 3 so 10 minus 3 is 7.
Hence, The solution is : 7 when subtract the quotient of 21 and 7 from 10.
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Jennifer paid $13.44 for a pack of 12 pairs of sport socks. What was the price of a pair of sport
socks?
$
Box 1: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter DNE for Does Not Exist, oo for Infinity
Points possible: 1
This is attempt 1 of 3.
Submit Jump to Answer
License
Answer:
1.12
Step-by-step explanation:
Since the whole price is 13.44$ and the whole number of whole pairs is 12 you can get the answer by dividing them so it will be 13.44÷12 so it will be 1.12
The figure below is made of 2 rectangular prisms. What is the volume of this figure? A shape made up of two rectangular prisms. The first rectangular prism has a base that measures 9 inches length by 6 inches width, and has a height of 3 inches. The second rectangular prism sits behind the first rectangular prism. It has a base that measures 10 inches length by 7 inches width and has a height of 3 inches.
After calculating the volume of these two rectangular prisms , we have come to conclude that the total volume of two rectangular prisms is 372 in³.
What is rectangular prisms?A rectangular prism is a three-dimensional shape with six faces, all of which are rectangles (top, bottom, and lateral faces) and all pairs of opposite faces are congruent.
A rectangular prism, like all three-dimensional shapes, has volume and surface area. A cuboid is simply another name for a rectangular prism.
A rectangular prism is basically a rectangle,
so the volume = l × b × h
Volume of 1st rectangular prisms = 9 × 6 × 3
= 162 in³
Volume of 2nd rectangular prisms = 10 × 7 × 3
= 210 in³
Total volume = 162 + 210
= 372 in³
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2 A square has sides of length (x + 2) cm. A right-angled isosceles triangle has its two equal sides of length (2x + 1) cm. The area of the square is equal to the area of the triangle. (x + 2) cm (2r + 1) cm Diagram NOT accurately drawn (2r + 1)cm a) Write down an equation in .x. b) Show that your equation simplifies to 2x² - 4x - 7 = 0
Answer:
2x^2-4x-7=0 according to factorization rule we must have to multiply first and last 2×7 =18 May me this question is mistake
Please help describe each transformation in order 1-3
Answer:
1-2 is a reflection, 2-3 is a rotation.
2 and 3 are touching
Step-by-step explanation:
Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0
Answer:
Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0
Step-by-step explanation:
Find the values of the trigonometric functions of from the information given.
cot() = − 5/9 , cos() > 0
Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function
gives a line with a slope of 0.11. See the figure below.
The monthly cost for 34 minutes of calls is $12.62. What is the monthly cost for 25 minutes of calls?
Answer:
11.63
Step-by-step explanation:
Since the equation is linear you can find the value by multiplying the difference of the minutes by 0.11, and subtract it from the cost of the initial plan.
34-25=9
9(0.11)= 0.99
12.62-0.99= 11.63
I ONLY NEED 15 and 16!! PLEASE LABEL WHICH ONE YOU DO:)) TYSM!!
Answer:
15. x-intercept = (-4, 0)
y-intercept = (0, 2.5)
16. A. An infinite number of solutions.
Step-by-step explanation:
Question 15The x-intercepts are where the line crosses the x-axis, i.e. when y = 0.
The y-intercepts are where the line crosses the y-axis, i.e. when x = 0.
Given equation:
[tex]5x-8y=-20[/tex]
Substitute y = 0 into the given equation to find the x-intercept:
[tex]\begin{aligned}y=0 \implies 5x-8(0) &=-20\\5x & = -20\\x & = \dfrac{-20}{5}\\x & = -4\end{aligned}[/tex]
Therefore, the x-intercept is (-4, 0).
Substitute x = 0 into the given equation to find the y-intercept:
[tex]\begin{aligned}x=0 \implies 5(0)-8y &=-20\\-8y & = -20\\y & = \dfrac{-20}{-8}\\y & =2.5\end{aligned}[/tex]
Therefore, the y-intercept is (0, 2.5).
Question 16Given system of equations:
[tex]\begin{cases}3x-2y=14\\6x=4y+28\end{cases}[/tex]
Multiply the first equation by 2:
[tex]\implies 2(3x-2y)=2(14)[/tex]
[tex]\implies 6x-4y=28[/tex]
Add 4y to both sides:
[tex]\implies 6x-4y+4y=4y+28[/tex]
[tex]\implies 6x=4y+28[/tex]
Therefore, the two equations are the same.
A system of linear equations has an infinite number of solutions when the graphs are the exact same line.
