These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two blue
marbles if the first marble is placed back in
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
1
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Enter
Answers
Answer:
1/4
Step-by-step explanation:
There are 2 yellow, 3 red and 5 blue for a total of 10 marbles.
The probability of drawing a blue marble is 5/10 = 1/2
If the marble is replaced, then there are 10 marbles in the bag.
So, the probability of drawing another blue marble is 1/2
Now, multiply the two probabilities together to get the final probability.
1/2(1/2) = 1/4
The probability of drawing two blue marbles if the first marble is placed back in the bag before the second draw is 1/4.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are a total of 10 marbles in the bag.
If one marble is drawn and then placed back in the bag before the second draw, there are still 5 blue marbles in the bag,
The probability of drawing a blue marble on the first draw is 5/10 = 1/2.
Since the marble is placed back in the bag, there are still 5 blue marbles in the bag for the second draw
The probability of drawing another blue marble on the second draw is also 5/10 = 1/2.
To find the probability of drawing two blue marbles.
We multiply the probability of the first draw being blue by the probability of the second draw being blue, assuming that the first marble is replaced back in the bag:
P(2 blue marbles) = P(blue on first draw) × P(blue on second draw)
P(2 blue marbles) = (1/2) × (1/2) = 1/4
Therefore, the probability of drawing two blue marbles if the first marble is placed back in the bag before the second draw is 1/4.
To learn more on probability click:
https://brainly.com/question/11234923
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Related Questions
When 28 is added to 3 times a number y and the sum is divided by 2, the result is 2 times the number y . What is the value of y?
14
B
25
с
28
D
30
ОО
E
33
Answers
Answer:
c
Step-by-step explanation:
I did this test thing
Write the sentence as an equation.
306 is equal to 80 subtracted from q
Answers
Answer:306 = 80-q is the answer
A box has a volume given by the trinomial x^3 + 4x^2 — 32x. What are the possible dimensions of the box?
Answers
Answer:
x(x-4)(x+8)
Step-by-step explanation:
Factor.
x(x^2+4x-32)
x(x-4)(x+8)
Please helppp me with me ASAP
Answers
Answer:
the formula for a triangle is height*base/2
plug it in and you get (3*6)/2=18/2=9
so, the answer is 9 mm2
What is the degree measure of z
A.29
B.39
C.68
D.41
Answers
Answer:
[tex]\Huge\boxed{C.68}[/tex]
Step-by-step explanation:
Hello There!
The exterior angle of a triangle rule is that the exterior angle is equal to the sum of the interior opposite angles
So essentially what I'm saying is that
z = 29 + 39
29+39=68 therefore the measure of angle z is 68
PLEASE HELP The perimeter of an equilateral triangle is 48 cm . Find the height of the triangle to the nearest whole number please
*UNKNOWN LINKS WILL BE REPORTED
Answers
Answer:
17.2 cm
Step-by-step explanation: Each side would be 19 cm since a triangle has three sides. Next, we will use pythagorean theory. Since the equation would be a^2 + b^2 = c^2. Since 19^2 is 361 and is getting subtracted by 64 (we get it because at the bottom, we have to split it. also, 8 squared is 64). Then we get 297, which the base root with one number behind the decimal would be 17.2 cm.
the value of n. 3n = (3^2)8
Answers
Answer:
Step-by-step explanation:
3n = 3² × 8 3² = 3 × 3
n × 3 = 3 × 3 × 8 notice a times 3 on both sides of the equation
divide both sides by 3
n = 3 × 8
n = 24 <---------------- FINAL ANSWER
find the circumference of circle if the diameter is 7.8cm
Answers
Answer:
24.5
Step-by-step explanation:
the radius is half of a diameter
so the radius is 3.9
24.5 = 2πr= 2 * π * 3.9 ≈ 24.504
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
Answers
Answer:
-972
Step-by-step explanation:
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
If f(1)= 4
f(2) = -3f(2-1)
f(2) = -3f(1)
f(2) = -3(4)
f(2) = -12
f(3) = -3f(3-1)
f(3) = -3f(2)
f(3) = -3(-12)
f(3) = 36
f(4) = -3f(4-1)
f(4) = -3f(3)
f(4) = -3(36)
f(4) = -108
f(5) = -3f(5-1)
f(5) = -3f(4)
f(5) = -3(-108)
f(5) = 324
f(6) = -3f(6-1)
f(6) = -3f(5)
f(6) = -3(324)
f(6) = -972
hence the sixth term of the sequence is -972
the equations in the triangle consist of (2x +1) and (5x +5)
Answers
7x + 96 = 180
7x = 180 - 96
7x = 84
x = 12
Libby takes a test that has a total possible score of 800. Each question is worth the same
number of points. If she misses 3% of the questions, what is her score?
Answers
Answer:
Step-by-step explanation:
800(1-3/100)
800(100-3)/100
800(97)/100
77600/100
776 is her score.
CAN SOMEONE PLEASE HELP ME WITH THIS ASSIGMENT WILL MARK BRAINLIEST
Answers
2. They are not
3. They are: SSS
4. They are: SAS
For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?
Answers
Answer:
sin trigonometry ratio
Step-by-step explanation:
Given
See attachment for triangles
Required
Explain why [tex]\frac{a}{8} = \frac{x}{12}[/tex]
From the attached diagram, both triangles are similar triangles because
(1) the second triangle is a dilation of the first triangle by a ratio of 1.5
i.e
[tex]k = \frac{12}{8}[/tex]
[tex]k = 1.5[/tex]
(2) They have angle 30 degrees, and have their right angles located at the same point
In the first triangle, the sine of 30 degrees is represented as:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
This gives:
[tex]sin(30) = \frac{a}{8}[/tex]
In the second triangle:
[tex]sin(30) = \frac{Opp}{Hyp}[/tex]
So:
[tex]sin(30) = \frac{x}{12}[/tex]
By comparison:
[tex]sin(30) = sin(3)[/tex]
Hence:
[tex]\frac{a}{8} = \frac{x}{12}[/tex]
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Match the points on
the number line with the rational numbers they represent.
A
B
C
D
E
1.3
-1.7
1.7
-0.8
-0.2
Answers
Answer:
A: 1.7
B: 1.3
C: -0.2
D: -0.8
E: -1.7
Step-by-step explanation:
The area of a semicircle is 0.2512 square inches. What is the semicircle's radius?
Answers
Answer:
0.28277
I got this by plugging in 0.2512 for "A" ( A = π r² ) Then I solved the rest ( divide both sides by pie, then taking the square root from that.
Step-by-step explanation:
Cos Milky Said it.
Before hypothesis testing and at the beginning of a study, a researcher is advised to conduct _____ because it _____.
a. an effect size estimate; tells the researcher the number of participants needed for trustworthy results
b. alpha testing; determines how meaningful the study results will be
c. a statistical significance; determines how meaningful the study results will be
d. a power analysis; tells the researcher the number of participants needed for trustworthy results
Answers
Answer:
d. a power analysis; tells the researcher the number of participants needed for trustworthy results.
Step-by-step explanation:
A control experiment can be defined as an experiment in which a condition assumed to be a probable cause of the effect is being compared to the same situation by the scientist without involving or using the suspected condition.
A hypothesis is considered to be tentative or an educated guess and can be defined as a testable explanation for an observation or a scientific problem. An example of a hypothesis is saying, Corona virus is caused by the introduction of the "5G" technology.
This ultimately implies that, for any hypothesis to be acceptable in science, it must be supported by observations and the results of control experiments; this give rise to factual informations, theories and by extension solutions to problems.
Before hypothesis testing and at the beginning of a study, a researcher is advised to conduct a power analysis because it tells the researcher the number of participants needed for trustworthy results.
A power analysis should always be conducted before the collection of data because it will help you as a researcher to determine the smallest sample size that's accurate enough to detect the effect of a specific test at the desired statistical significance level.
A train with a mass of 1570 kg is moving at 3.2 m/s collides with a train at rest with a mass of 1224 kg. They stick together and move as one. What is the velocity of both trains together?
m1V1 + m2V2 = total total
Answers
Solve for x in the following diagram. Round your answer to nearest tenth.
Answers
Answer:
48.3
Step-by-step explanation:
→ See what side is not given
Opposite
→ Find a triangle with out an O in it
Cos = Adjacent / Hypotenuse
→ Make what you want to find the subject
Hypotenuse = Adjacent / Cos
→ Substitute the numbers into the formula
41 / cos (32) = 48.3
I’ll mark brainliest if correct :)
Answers
Answer:
x = -2
y = 9
Step-by-step explanation:
y = -3x + 3
y = 5x + 19
We can put one y as another:
-3x + 3 = 5x + 19
-8x = 16
x = -2
And now let's check using x = -2
y = (-3 * -2) + 3
y = (5 * -2) + 19
y = 6 + 3
y = -10 + 19
y = 9
y = 9
A group of friends wants to go to the amusement park. They have no more than $245
to spend on parking and admission. Parking is $9.25, and tickets cost $25.75 per
person, including tax. Which inequality can be used to determine p, the maximum number of people who can go to the amusement park?
Answers
Answer:
9.25 + 25.75p ≤ 245
Step-by-step explanation:
I didn't see any inequality options to select from . . .
p= number of people
since there’s no more than $245, they can only spend the exact amount or less than which is why ≤ (less than or equal) to is used.
hope this helps :)
To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Jandeliz buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the MEASUREMENT error?
1, 0.96
2. 0.1
3. 0.042
4. 0.04
Answers
Answer: 0.04
Step-by-step explanation:
The measurement error is calculated as:
= Error / Ideal value
= (2.5 - 2.4) / 2.5
= 0.1/2.5
= 0.04
Therefore, the correct option is D.
Evaluate without using a calculator (x2y-3)0+x1/3-(4x)1/2 when x = 64 and y = 27. Show work.
Answers
Given:
The expression is:
[tex](x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}[/tex]
To find:
The value of the given expression when [tex]x=64[/tex] and [tex]y=27[/tex].
Solution:
We have,
[tex](x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}[/tex]
Putting [tex]x=64[/tex] and [tex]y=27[/tex], we get
[tex]=((64)^2(27)-3)^0+(64)^{\frac{1}{3}}-(4(64))^{\frac{1}{2}}[/tex]
It can be written as
[tex]=((64)^2(27)-3)^0+(4^3)^{\frac{1}{3}}-(4)^{\frac{1}{2}}(64)^{\frac{1}{2}}[/tex]
[tex]=1+4-2(8)[/tex] [tex][\because a^0=1,a\neq 0][/tex]
[tex]=5-16[/tex]
[tex]=-11[/tex]
Therefore, the value of the given expression [tex]-11[/tex] when [tex]x=64[/tex] and [tex]y=27[/tex].
He has 834 cups of chocolate chips. Use the guess, check, and revise strategy to solve the equation 114b=834 to find b, the number of batches of muffins he can make if he uses Recipe 2.
Answers
Answer:
vas dir que no sóc jo, sóc una mica, però vull que tornem a casa i ens ocupem de tots els altres
5x-5=-3+b+(a-1)x
sat math
Answers
Answer:
81
Step-by-step explanation:
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 4x + 1 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (2, 5). Function 2 has the larger maximum at (3, 2).
Answers
Answer:
wait can we have the graph
Step-by-step explanation:
Answer:
Function 2 has the larger maximum at (2, 5).
Step-by-step explanation:
What is the approximate area of the garden?
Answers
Answer:
Option D
Step-by-step explanation:
By applying Pythagoras theorem in triangle ABC,
(Hypotenuse)²= (Leg 1)² + (Leg 2)²
AC² = AB² + BC²
AC² = (40 - 15)² + (80 - 75)²
AC² = (25)² + 5²
AC² = 650
AC = √650
AC = 25.495 ft
Since, area of a rectangle = Length × Width
Therefore, area of the garden = 25.495 × 6
= 152.97
≈ 153 ft²
Since, 150 is very close to 153, approximate area of the rectangular garden is 150 ft².
Option D is the answer.
Which equation describes a line with
y-intercept (0,5) that passes through
the point (2, 1)?
Answers
Answer:
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
81/x - 3 = 6 2x - 3 = 15Answer:
it's only the last two
Step-by-step explanation:
3x + 2 = 25
3x + 2 - 2 = 3x
25 - 2 = 23
3x = 23
3x / 3 = x
23 / 3 = 7 2/3
x = 7 2/3 not this one
x/3 + 7 = 8
x/3 + 7 - 7 = x/3
8 - 7 = 1
x/3 = 1
x/3 * 3 = x
1 * 3 = 3
x = 3 not this one
4 + 5x = 18
4 + 5x - 4 = 5x
18 - 4 = 14
5x = 14
5x / 5 = x
14 / 5 = 2 4/5 not this one
24 - 2x = 13
24 - 2x - 24 = -2x
13 - 24 = -11
-2x = -11
-2x / -2 = x
-11 / -2 = 5 1/2 not this one
81/x - 3 = 6
81x - 3 + 3 = 81/x
6 + 3 = 9
81/x = 9
81/x * x = 81
9 * x = 9x
81 = 9x
81 / 9 = 9
9x / 9 = x
9 = x this one
2x - 3 = 15
2x - 3 + 3 = 2x
15 + 3 = 18
2x = 18
2x / 2 = x
18 / 2 = 9
x = 9 this one
frist one to do it gets brainist
Answers
Answer:
tennis and chess
Step-by-step explanation:
Tennis and chess
Step by step solution:
Basketball is 25 percent so you need two things add up to 25%...
Cricket is out since it’s already over 25% alone
Soccer is out since it would only need 5% to add on to its 20% to equal 25% which there is none that’s 5%
That leaves 2 activists tennis and chess
Hope this helps!
Stephanie adds pennies, nickels and quarters to a scale until the mass of the combined coins is $75$75 grams. Each penny has a mass of $2.5$2.5 grams, each nickel has a mass of $5$5 grams and each quarter has a mass of $5.7$5.7 grams.
Create an equation to model this situation, where $x$x is the number of pennies, $y$y is the number of nickels and $z$z is the number of quarters that Stephanie can put on the scale so that the mass of the combined coins is exactly $75$75 grams.