Answer:
P = 3/11
Step-by-step explanation:
There are:
6 red marbles
4 blue marbles
2 yellow marbles.
So there are a total of 12 marbles in the bag, such that each one has the same probability of being randomly picked.
We want to find the probability that the first pick is not yellow (so it can be either blue or red), and the second pick is a blue marble.
Now there are two cases.
The first marble is red and the second blue
the first marble is blue and the second blue
We need to find the probability in each case.
The probability that the first marble is red is equal to the quotient between the number of red marbles (6) and the total number of marbles (12)
p = 6/12
Now, for the second draw, we need a blue marble, the probability in this case is the quotient between the number of blue marbles (4) and the total number of marbles in the bag (now there are 11, because one is already taken)
q = 4/11
The joint probability is equal to the product of the individual probabilities, then:
P₁ = p*q = (6/12)*(4/11) = 2/11
And for the other case, we draw two blue marbles:
For the first draw, the probability is:
p = 4/12
And for the second draw, now there are 3 blue marbles and 11 total marbles, then the probability is:
q = 3/11
The joint probability is:
P₂ = (4/12)*(3/11) = 1/11
The total probability is then:
P = P₁ + P₂ = 2/11 + 1/11 = 3/11
Charlene's age is 4 less than 3 times Mary's age, x.
Which expression represents Charlene's age?
O A 3X - 4
OB. 3(x-4)
O C. 4X-3
OD. 4 - 3x
The solution is Option A
The equation of Charlene's age is 3x - 4
What is an Equation?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.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let Charlene's age be C
The age of Mary is = x
Now , the equation is
Charlene's age is 4 less than 3 times Mary's age
Substituting the values in the equation , we get
C = 3 x ( Mary's age ) - 4
On simplifying the equation , we get
C = 3x - 4 be equation (1)
Therefore , the value of C is 3x - 4
Hence , the age of Charlene's age is 3x - 4
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Translate (-3, 1) to the right 1 unit.
Then reflect the result over the y-axis.
What are the coordinates of the final point?
OD
?
Answer:
(2,1)
Step-by-step explanation:
When we translate to the right, we are simply adding a value to the x axis value corresponding to the units of translation
We have the translation by 1 unit, so we are to add 1 to the value of the x-coordinate
Thus, we have this as ;
(-3 + 1, 1)
= (-2,1)
When we reflect a point (x,y) over the y-axis, its new coordinates become (-x,y)
Applying this to what we have above, the coordinate of the final point will be (2,1)
Find the measure of
А
E
103°
270
50°
35°
D
B
C
Answer:B
Step-by-step explanation:
I really need help with this! I'm having a bit of trouble understanding how to do this since the teacher kind of rushed on explaining things.
Answer:
For problem one:
a. 11
b. 3/11
c. 2/11
d. there are only 2 chips
e. 3/11
find the unit rate for each graph.
i need an answer FAST!!!
Answer:
1 row for 13 charts
Step-by-step explanation:
2 rows/26charts=1row/13charts
Answer:
Step-by-step explanation:
1 row for 13 charts like he said
Round 1379842 to the nearest 1000
Answer: I think 1000 sorry if I’m wrong have a great day!
Step-by-step explanation: 1,379,842 = 1000
Ron and amber bought a pizza, Ron ate 3/10 of the pizza, Amber ate 1/10 of the pizza. Together, which fraction of the pizza did they eat?
A. 1/5
B. 1/3
C. 1/4
D. 3/100
E. 2/5
Answer:
E
Step-by-step explanation:
3/10 + 1/10 = 4/10
simplify 4/10
4/2 and 10/2
ANSWER = 2/5
Mike bought a new shirt for $39.95. The sales tax in his city is 8.25%. What was the sales tax amount on
the shirt that Mike bought? Sales tax =
Answer:
$3.30
Step-by-step explanation:
Shirt price * city sales tax = sales tax amount on shirt. $39.95 * 0.0825 = $3.30
The descriptions below outline different payment options for Ashley's dog-walking business. Use x to represent the number of days she walks a dog and y to represent her earnings. For each equation and graph, drag the situation that can be modeled by that relationship into the space in that row.
Answer:
Step-by-step explanation:
y = 2x - 2 (Linear)
Here, x = number of days
y = Total payment
Ashley paid $2 each day and gives $2 to her brother.
y = 2x²
This quadratic relation represents the total payment 'y' is twice as much as the number of days times itself.
y = 2ˣ
Exponential function represents that the total payment is twice as much as the number of days times itself.
A function is a mathematical rule which can be assigned a value.
What is a function?A function in mathematics is a rule that can be assigned a value. We shall now procced to find out which function can be classified as shown.
Ashley paid $2 each day and gives $2 to her brother - This is a quadratic function and has the equation; y = 2x²The total payment is twice as much as the number of days time itself - This is a linear function with the equation - y= 2x - 2 y = 2x²The total payments starts at $2 each day and doubles for each day - this is a exponential function with the equation y = 2ˣLearn more about fuctions: https://brainly.com/question/9813642
Which scenario could be modeled by the equation 2x+12=40
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{2x + 12 = 40}[/tex]
[tex]\large\text{SUBTRACT 12 to BOTH SIDES}[/tex]
[tex]\large\textsf{2x + 12 - 12 = 40 - 12}[/tex]
[tex]\large\text{CANCEL out: \textsf{12 - 12} because that gives you \textsf{0}}[/tex]
[tex]\large\text{KEEP: \textsf{40 - 12} because that helps solve for \textsf{x}}[/tex]
[tex]\large\textsf{40 - 12 = \bf 28}[/tex]
[tex]\large\text{New EQUATION: \textsf{2x = 28}}[/tex]
[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2x}{2}=\dfrac{28}{2}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{28}{2}}\large\text{ because gives you the value of x}[/tex]
[tex]\mathsf{x = \dfrac{28}{2}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf \huge x = 14}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A lenght of wire is bent to make a square of side 3.2 cm a: what is the length of wire in the square B: if the wire is silver costing 50 naira per centimetre what is the cost of the square C: 20 of the squares are linked together to make a necklace what does it cost to make the necklace
Answer:
12.8cm
640 naira
12,800 naira
Step-by-step explanation:
length of the wire is equal to the perimeter of a square
perimeter of a square = 4 x length
4 x 3.2 = 12.8 inches
cost of the square = length of the wire x 50
12,8 x 50 = 640
20 x 640 = 12800
Find an equivalent fraction for the decimal number. In your final answer, include all of your work.
___
0. 901
Answer:
901/1000
hope this helps
have a good day :)
Step-by-step explanation:
what is
-3 (0.5 + 3p)= -6 (p - 5.9)
Answer:
Step-by-step explanation:
p = − 12.3
May I please have brainiest
Last year a video game cost $50. Price increase by 25% this year. What is the new price of this video game?
does anybody know the answer to this?
Answer:
C (136)
Step-by-step explanation:
The triangle is only rotated, the measure of <D doesn't change
A foot ball field measures 100m by 72m. A school marks a football field similar in shape to a fullsize football field but only 30m long. What is its width?
Answer: 21.6 m
Step-by-step explanation:
Given
A football field measures [tex]100\ m\times 72\ m[/tex]
If a football field similar in shape to a full size has a length [tex]l=30\ m[/tex]
The ratio of the length of the original to the small field is the same
Assume the width of the small field is w
[tex]\therefore \dfrac{100}{30}=\dfrac{72}{w}\\\\\Rightarrow w=30\times \dfrac{72}{100}\\\\\Rightarrow w=21.6\ m[/tex]
Thus, the width of the field is 21.6 m
This year, Mr. Thomas will earn 15% more than he did last year. If he earned $50,000 last year, how much will he earn this year?
Solve the triangle.
a = ?
9514 1404 393
Answer:
a = 7
Step-by-step explanation:
The Pythagorean theorem tells you the value of 'a' is ...
a^2 = b^2 - c^2
a^2 = 25^2 -24^2 = 625 -576 = 49
a = √49 = 7
The length of side 'a' is 7 units.
PLEASE HELP ME URGENT what is the answer
Someone please please help and
Thanks so much
If cot0 =4/3 find csc0
Answer:
[tex]\mathrm{d. \csc \theta =\frac{5}{3}}[/tex]
Step-by-step explanation:
In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. If [tex]\cot\theta =\frac{4}{3}[/tex] as given in the problem, then [tex]\tan \theta =\frac{3}{4}[/tex], because [tex]\tan \theta =\frac{1}{\cot \theta}[/tex]. Therefore, the opposite side of angle theta is 3 and its adjacent side is 4. Thus, the hypotenuse of the triangle must be [tex]h=\sqrt{4^2+3^2}=\sqrt{25}=5[/tex].
The sine of an angle in a right triangle is equal to its opposite side divided by its hypotenuse.
Therefore, [tex]\sin \theta =\frac{3}{5}[/tex] (o/h) and since [tex]\sin \theta =\frac{1}{\csc \theta}[/tex], we have:
[tex]\csc \theta=\frac{1}{\sin \theta}=\frac{1}{\frac{3}{5}}=\boxed{\frac{5}{3}}[/tex]
Please help will Mark brainliest
Answer:
well it is explained here
Step-by-step explanation:
copy, paste download file open and expination is here
check in the comments
Karen has a cube that has a side length of 6 in. The net of the cube is shown.
What is the surface area of the cube?
A 36 square inches
B 144 square inches
C 180 square inches
D 216 square inches
Answer:
C. 180 square inchesStep-by-step explanation:
#carry on learning #mark brainlitsNoah says, "If I try to write 100 expanded, it should have zero factors that are 10, so it must be equal to 0." Do you agree? Why or why not?
Answer:
Disagree
Step-by-step explanation:
10^0
According to the laws of indices, anything raised to the power of 0 will equate to 1. Therefore, based on this established mathematical principle, Noah's assertion about 10^0 being equal to 0 is false.
Hence, I disagree.
A single 6 sided die is rolled which best describes the probability of rolling a number greater than 6
Answer:
0% chance
Step-by-step explanation:
if the cube is 1-6 then 6 is the highest number. there is non higher.
By visual inspection, determine the best-fitting regression model for the
scatterplot
X
5
-10
A. Linear
B. Quadratic
C. Exponential
D. No pattern
Answer:linear
Step-by-step explanation:
it is a straight line
The best-fitting regression model for the scatterplot is linear. Thus, the correct answer is an option (A).
As per the given figure, the data points on a scatterplot, with the dependent variable (y-axis) plotted against the independent variable (x-axis).
Looking at the general pattern of the data points on the scatterplot.
Here, they follow a roughly linear trend.
This means that the data points roughly form a straight line or a curve that looks like a straight line.
Thus, the best-fitting regression model for the scatterplot is linear.
Hence, the correct answer is option (A).
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A room is 90 inches wide, and 145 inches long. What is the perimeter of the room?
Answer:
I think 50
Step-by-step explanation:
Answer:
470 inches
Step-by-step explanation:
p = 2l + 2w
p = 2*145 + 2*90
p = 290 + 180
p = 470
HURRY FAST !!!!!!
If the area of a square is 33.64 square yards, what is the length of one of the sides?
Answer:
5.8 is your answer mate
Step-by-step explanation:
hello
How would you find the missing value? 15/4=5/x
15(4) = 5x
15(x) = 5(4)
15 14 =5+x
Using the intersecting chord theorem you multiply the two lengths of one line together to equal the multiplication of the two dimensions on the second line.
The answer would be 15(4) = 5x
what is the asymptote of the exponential function y=3^x-3
A. y=3
B. y= -3
C. x=3
D. x= -3