A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.
Answer:
Step-by-step explanation:
a)
p
(
red marbles
)
=
6
6
+
8
p
(
red marble
)
=
3
7
b)
p
(
o
d
d
n
u
m
b
e
r
s
)
=
3
+
4
6
+
8
p
(
o
d
d
n
u
m
b
e
r
s
)
=
1
2
c)
p
(
red marbles or odd numbers
)
=
p
(
red marbles
)
+
p
(
odd numbers
)
−
p
(
red marbles and odd numbers
)
p
(
red marbles or odd numbers
)
=
6
14
+
7
14
−
3
14
p
(
red marbles or odd numbers
)
=
10
14
d)
p
(
Blue marbles or even number
)
=
p
(
Blue marbles
)
+
p
(
even numbers
)
−
p
(
blue marbles and even numbers
)
p
(
Blue marbles
)
=
8
14
p
(
even numbers
)
=
7
14
p
(
Blue marbles or even number
)
=
8
14
+
7
14
−
4
14
p
(
Blue marbles or even number
)
=
11
14
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What is Probability in Math? - Definition & Overview
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Chapter 24 / Lesson 7
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The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.
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math word problem: if jill takes a pill every 3 days and joe takes it every 4 for 65 days how many times will they take the pills together
Jill will have taken 21 in 65 days because 65 divided by 3 is 21.6666666667.
Joe will have taken 16 in 65 days because 65 divided by 4 is 16.25.
Given that a + b = 2 and that a + b2=6, prove that 2ab = -2. Find also the value of (a - b)?
At the Lincoln County Animal Shelter, there are currently 6 dogs and 4 cats. Write the ratio of cats to dogs in simplest form as a fraction.
Answer:
2/3
Step-by-step explanation:
4 cats / 6 dogs = 2/3
simplify by dividing by 2
The sum of two numbers is 91 the difference of the two numbers is 67 what are the two numbers let x be the larger number and y be the smaller number
Answer:
x = 79
y = 12
Step-by-step explanation:
x + y = 91
x - y = 67
=> x = (91 + 67) : 2 = 79
=> y = (91 - 67) : 2 = 12
P/s: I don't know how to explain what I just did actually, since we learn how to solve this kind of problem in primary at my place already so it's like a blurry memory about how I learn it. If the math problem is to find 2 numbers, knowing their sum and the difference already, this is how to solve it:
=> Larger number: (Sum + difference) : 2
=> Smaller number: (Sum - difference) : 2
If you can memorize it, good for you! If not then it's alright, this is just a nice tips from me to you. You'll have more advantages in solving these kind of math problem if you can memorized these 2 formulas.
brian says that 8n+2=82 when n=1 explain why he is incorrect
helpppppppppppppppppppppppppppp
What do you need help with? Are you in danger?
These are already solved but can someone explain how we got them, steps please! I really need it..
Answer:
1A,) 5x 2 and 3x are unlike terms and 9x 3 and 2x 2 are also unlike term
* so you have to put the like terms together to solve the equation
*then you say 9x 3 first because it is the biggest number (I think)
* then you put 5x 2 and 2x 2 together and 3x and x together too
* then you will get : 9x 3+ (5x 2 + 2x 2) + (3x -x)
:9x 3 + 7x 2 +2x
Note:in algebra 3x -x is like saying 3-1 aka x is seen as 1 but the one is invisible
haha
and unlike terms are terms that do not have the same variables or powers while like terms are terms that have the same variables or powers
How to reduce decimals to fractions.
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help
Answer:
x=9
y=4
Step-by-step explanation:
kelly has 47 model cars. Jamal has 58 model cars. Yesterday , jamal traded 8 model cars to kelly for 14 of her cars. How many cars did kelly have before the trade
Answer:
33 cars please give Brainliest
Please help me I need help with solving this equation worth 30 points
Answer:
1. -20
2. 27
3. 36
4. -200
Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?
Answer:
16
Step-by-step explanation:
Because 25 - 9 = 16
Solve for x.
45(x−310)=−214
Enter your answer as a mixed number in simplest form in the box.
x =
The solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
The given equation is 45(x-310)=-214.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
By using distributive property, we get
45x-13950= -214
45x=-214+13950
45x=13736
x=13736/45
x=[tex]305\frac{11}{45}[/tex]
Therefore, the solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
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pleaseeeeeeeeee helppppppppp meeeeeeeeeee
Answers:
FunctionNot a functionFunctionNot a function========================================
Explanation:
If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).
Relations 1 and 3 don't have this issue, so they are functions.
Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
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How do I check my answer?!?? 6.78J-5.2=4.33J+2.15. J=3
Please answer !
Answer these questions
Answer:
y = 5
Step-by-step explanation:
first you subtract 5y from itself and from 7y
then you'll get: 2y + 2 < 12
then subtract the 2 from itself and from the 12
that will give you: 2y < 10
then just divide the 2 from itself and that eliminates the 2 but keeps the y, and divide the 10 by the 2
that'll give you y = 5
What is the solution to the equation 1/4x−3/4=1/2, given the replacement set {−1, 1, 5} ?
Answer:
x=5
Step-by-step explanation:
I took the test. Hope this helps
The solution of the given equation is when the x = 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the equation 1/4x−3/4=1/2, also the replacement set {−1, 1, 5}
First, substitute the values from the given set;
When x = -1
1/4x−3/4=1/2
1/4(-1) − 3/4 = 1/2
-1/4 - 3/4 = 1/2
-4/4 = 1/2
-1= 1/2
This is not the solution to the given equation.
When x = 1
1/4x−3/4=1/2
1/4(1) − 3/4 = 1/2
1/4 - 3/4 = 1/2
-2/4 = 1/2
-1/2 = 1/2
This is not the solution to the given equation.
When x = 5
1/4x−3/4=1/2
1/4(5) − 3/4 = 1/2
5/4 - 3/4 = 1/2
2/4 = 1/2
1/2 = 1/2
This is the solution to the given equation.
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I am stuck. The screenshot will explain
What is the slope of the line shown in the graph?
Answer:
-3/2
Step-by-step explanation:
3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?
Answer:
If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:
A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor
Answer:
125 square tiles
Step-by-step explanation:
(800*10)/8^2=8000/64=125
x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120
Factor completely given the following factors: (x+5) and (x+3)
There should be 6 factors (2 given, 2 binomials, and 2 trinomials.)
show steps
Answer:
(x+3)(x+5)(x-2)(x-1)(x^2+2x+4)(x^2+x+1) where the given one is bolded the 2 binomials is italicized and the 2 trinomials is underlined
Step-by-step explanation:
write the equation of the line in fully simplified slope-intercept form
Answer:
y = 3/5x+1
Step-by-step explanation:
y intercept - (0,1), so b=1
Slope = rise/run = 3/5, so m = 3/5
Our Answer is y = 3/5x+1
The diagram shows 5 triangles. All lengths are in centimetres. Which two triangles are congruent to each other
Answer:
It should be A & D
Step-by-step explanation:
These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.
Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b?.
The residual column is given by the difference between the given values
and the values from the fitted line.
The values of a and b are; a = -0.4 and b = 0.18Reasons:
The line of best fit equation is; y = 2.55·x - 3.15
The 4-column table is presented s follows;
[tex]\begin{tabular}{|c|c|c|c|}\underline{x}&\underline{Given}&\underline{Predicted}&\underline{Residual}\\1&-0.7&-0.6&-0.1\\2&2.3&1.95&0.35\\3&4.1&4.5&a\\4&7.2&7.02&b\end{array}\right][/tex]
Required:
The values of a and b
Solution;
The residual is given by the difference between actually observed value and the predicted value
RESID = [tex]\mathbf{y_i}[/tex] - [tex]\mathbf{x_i}[/tex]·b
Where;
[tex]y_i[/tex] = The given value at point i
[tex]x_i[/tex]·b = The predicted value at point i
Therefore;
At x = 1, the residual = -0.7 - (-0.6) = -0.1
At x = 2, the residual = 2.3 - 1.95 = 0.35
At x = 3, the residual = a = 4.1 - 4.5 = -0.4
Therefore;
a = -0.4At x = 4, the residual = b = 7.2 - 7.02 = 0.18
Therefore;
b = 0.18Learn more about line of best fit here:
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7x+20=7x+20
help asap
step by step please
Answer:
The given equation is true for all x.
Step-by-step explanation:
2. Write the congruence statement you are missing in order to prove the triangles are congruent for the given
reason.
A) In order to prove that these triangles are congruent by SAS, we need to have two sides of one triangle congruent to two sides of another triangle and an angle of one triangle (that’s included between the sides) is congruent to an angle of another triangle, the triangles are congruent.
We know that side OU is congruent to itself based on the reflexive property and we have a pair of right angles. However, we don’t know that sides MU is congruent to sides NU which would be our final step to prove these triangles are congruent by SAS.
So we are missing that sides MU and NU are congruent.
For part b, we have a pair of vertical angles which means they are congruent and <F and <S are congruent. For ASA, we need two angles and the included side of one triangle congruent to two angles and the included side of a second triangle.
We are not told that PQ and SQ have the same length, so this would be the information we would need to say these triangles are congruent by ASA.
The speed of sound is approximately 720 miles per hour at sea level. At this rate, how many feet does it travel in 20 seconds? Use 1 mile=5280 feet.
Answer: 21120 feet.
Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.
The distance travelled by sound in 20 seconds is 21120 feet.
What is speed?In unit time the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The speed of sound = 720 miles per hour.
According to given condition,
1 hour = 720 miles
Since, 1 hour = 60 minutes
60 minutes = 720 miles
1 minute = 12 miles.
1 minute = 60 seconds
60 second = 12 miles
1 second = 12 / 60 = 1/5 miles
20 second = 20 / 5 = 4 miles
According to given condition,
1 mile = 5280 feet
Therefore,
20 second = 5280 x 4 = 21120 feet
The distance travelled in 20 seconds is 21120 feet.
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