Answers
The probability of a successful outcome is (number of ways of achieving a successful outcome)/(number of ways of achieving any outcome).
The probability of first drawing blue is 4/16 = 1/4
Once a blue marble has been drawn the number of yellow marbles is unchanged (3) but the total number of marbles is now only 15. So the probability of drawing yellow is 3/15 = 1/5
The probability of drawing first blue then yellow is the product of these two results = 1/4 * 1/5 = 1/20 = 5%
Answer:
[tex]\frac{1}{20}[/tex]
Step-by-step explanation:
To solve this problem, we can use the definition of probability: the amount of desirable outcomes divided by the total amount of outcomes. In order to find the probability of dependent events, events that depend on each other, we multiply the probability of the first event by the probability of the second event happening after the outcome of the first. Our two events are choosing a blue marble and then choosing a yellow.
There are a total of 16 marbles as given by the problem, this is our total number of outcomes. There are 4 outcomes where we can pick a blue marble, so the probability of choosing a blue marble is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex].
Now, we need to find the probability of choosing a yellow marble after the blue marble. If we already chose a blue marble, in total, there will only be 15 marbles instead of 16, because it is with out replacement. This gives us the total amount of outcomes. Next, we picked a blue already, so it does not affect the amount of yellow marbles left, which is 3 yellow marbles. From this, we can say the probability of picking a yellow marble given a blue marble was already picked is [tex]\frac{3}{15}[/tex] or [tex]\frac{1}{5}[/tex].
All we have to do now is multiply the two probabilities to find what we are looking for: [tex]\frac{1}{4} *\frac{1}{5} =\frac{1}{20}[/tex]. So, the probability of drawing a blue marble followed by a yellow marble is [tex]\frac{1}{20}[/tex]
Related Questions
what is the slope of the line y = 8x - 10
Answers
Answer:
slope is 8
Step-by-step explanation:
y=Mx+c
m is the slope therefore the slope is equal to 8
The slope of the line y = 8x - 10 is 8.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given line is y = 8x - 10
Equation of a line in slope intercept form is given by,
y = mx + c
Here, m is the slope and c is the y intercept.
The given equation is in the slope intercept form.
y = 8x - 10
The coefficient of x is the slope.
So slope of the given line = 8
Hence the slope of the line y = 8x - 10 is 8..
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simplify 3^3 - 2x(5x-5) + √25
Answers
I will give brianliest!! 20 points. Look at the picture for the question…
Answers
the answer is B. A translation 1 unit to the right followed by 180-degree counterclockwise rotation about the origin.
47 divided by 25, work it out step by step
Answers
Answer:
1.88
Step-by-step explanation:
47/25
= 1.88
Con procedimiento por favor
Answers
Answer:
C
Step-by-step explanation:
I WILL GIVE BRAINLIST AND 5 STARS
Show that (2x + i)(2x – i) = 4x² + 1
Answers
Answer:
see below
Step-by-step explanation:
(2x + i)(2x – i)
FOIL
first 2x*2x =4x^2
outer -i * 2x = 2x i
inner i * 2x = 2x i
last i * -i = -i^2 and i^2 = -1 so - (i^2 ) = - (-1) = 1
Add together
4x^2 + 2xi -2x i +1
Combine like terms
4x^2 +1
Which linear inequality is represented by the graph?
plz help
Answers
pls help me solve pls show how you got the answer
Answers
Answer:
Square root of 77.44 = height and length of gray squares = 8.8 cm
Since there are 3 squares that make up the height of that object 8.8 cm * 3 =
26.4 cm (the height of 3 gray squares
Square root of 4.84 = 2.2 cm
So the total height = 26.4 + 2.2 = 28.6 cm
Step-by-step explanation:
Find the average of the numbers 8, 13,15
Answers
Answer:
average = 12
Step-by-step explanation:
average = sum of numbers/no. of numbers
=8 + 13 + 15 /3
=36/3
=12
1. The function below models the value of Tiana's car, where x represents
the number of years since she purchased the car. What is the rate of
growth or decay?*
f(x) = 24,000. 0.88
O Option 2 -88% Growth
O Option 3 -12% Decay
O Option 1 - 88 % Decay
O Option 4 - 12% Growth
Answers
Answer:
option 4
Step-by-step explanation:
Option 3 -12% Decay
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon ABCD is a parallelogram, and m-ABC = 127º. The length of BC is 10 units, and the length of AB is 5 units.
1271
D
units, and m_BCD is
The perimeter of the parallelogram is
Answers
Answer:
Perimeter = 30 units
m<BCD = 53°
Step-by-step explanation:
Recall: in any parallelogram, consecutive angles are supplementary. Also, the pairs of parallel sides are equal in length.
We would use this knowledge to solve the problem given.
m<ABC = 127° (given)
BC = 10 units
AB = 5 units
✔️Perimeter of the parallelogram = AB + BC + CD + AD
AB = CD = 5 units (pair of parallel sides)
BC = AD = 10 units (pair of parallel sides)
Perimeter = 5 + 10 + 5 + 10
Perimeter = 30 units
✔️m<BCD = 180° - m<ABC (consecutive angles are supplementary)
m<BCD = 180° - 127° (Substitution)
m<BCD = 53°
true or false : A triangle can have interior angles of 50 degrees, 70 degrees, and 68 degrees
Answers
Answer:
it is false as the sum of the degrees of the triangle should be 180 but here it is 188 so it is false
In the first quadrant you start at 2, 6 and move 2 units right and 3 units down what point will you end up on?
Answers
Answer:
(4, 3)
Step-by-step explanation:
(2+2 , 6-3) = (4 , 3)
Felix is a quality control expert at a factory that paints car parts. Their painting process consists of a primer coat, color coat, and clear coat. For a certain part, these layers have a combined target thickness of 150 microns. Felix measured the thickness of 50 randomly selected points on one of these parts to see if it was painted properly. What is Felix's margin of error? "Round to 2 decimal places
Answers
Answer:
0.9
Step-by-step explanation:
His sample had a mean thickness of 148 microns and a standard deviation of 3.3 microns with a 95% confidence interval for the mean thickness.
Solution:
The z score shows by how many standard deviations the raw score is above or below the mean.
Given that:
The mean (μ) = 148 microns, standard deviation (σ) = 3.3 microns, sample size (n) = 50 and confidence interval (C) = 95%
α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
The z score of α/2 is the same as the z score of 0.475 (1 - 0.025) which is equal to 1.96
The margin of error (E) is given by:
[tex]E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{3.3}{\sqrt{50} } \\\\E=0.9\ microns[/tex]
What is the answer ?????
Answers
Step-by-step explanation:
very difficult............
Hello I need the answer fast plssssss
Answers
Answer:
32
Step-by-step explanation:
8x6=48
2x4=8
48-16=32
Answer:
[tex]area = 2(area \: of \: trapezium) - 2(area \: of \: triangle) \\ = 2( \frac{1}{2} h(a + b)) - 2( \frac{1}{2} bh) \\ = 4(4 + 6) - (4 \times 2) \\ = 40 - 8 \\ = 32 \: {ft}^{2} [/tex]
A company is testing and comparing two hair spray formulas. The box plots show the number of hours each hair spray lasts before reapplication is necessary. Which statement is best supported by the information in the plots?
1.Hair spray B will always last two hours longer than hair spray A.
2.Hair spray A will likely last longer than hair spray B.
3.Hair spray B will likely last longer than hair spray A.
4.Hair spray B will always last longer than hair spray A.
Answers
Answer:
Foundations of Financial Management with Time Value of Money card (15th Edition) Edit edition Solutions for Chapter 4 Problem 9P: Vitale Hair Spray had sales of 13,000 units in March. A 70 percent increase is expected in April. The company will maintain 30 percent of expected unit sales for April in ending inventory.
Step-by-step explanation:
HELP ME PLZ!!!!! Plz!!!
Answers
Answer:
hi the right answer is option C.112
here's why:
[tex] \frac{14}{50} \times 400 = 112[/tex]
help me with these!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Hope this helps u!!
The question is in the screenshot. ( I really need help in this one)
Answers
Answer:
V=A*L
V=72*6
V=432 in cube
2. A stack of 500 sheets of paper is 2.5 inches high. Each sheet of paper is 8.5 inches wide and 11 inches long. A person places more sheets onto the stack, making the total volume of the stack 561 cubic inches. Approximately how many more sheets of paper were added to the original stack of paper?
1) 200
2) 700
3) 1,200
4) 1,700
Answers
Can you please ans me??
Answers
Answer:
see explanation
Step-by-step explanation:
A linear pair of angles sum to 180° , then
3x + 10 + 4x - 5 = 180
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25
Then
3x + 10 = 3(25) + 10 = 75 + 10 = 85°
4x - 5 = 4(25) - 5 = 100 - 5 = 95°
------------------------------------------------------------
3x - 3 + 5x + 7 = 180
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Then
3x - 3 = 3(22) - 3 = 66 - 3 = 63°
5x + 7 = 5(22) + 7 = 110 + 7 = 117°
Answer:
see explanation
Step-by-step explanation:
A linear pair of angles sum to 180° , then
3x + 10 + 4x - 5 = 180
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25
Then
3x + 10 = 3(25) + 10 = 75 + 10 = 85°
4x - 5 = 4(25) - 5 = 100 - 5 = 95°
------------------------------------------------------------
3x - 3 + 5x + 7 = 180
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Then
3x - 3 = 3(22) - 3 = 66 - 3 = 63°
5x + 7 = 5(22) + 7 = 110 + 7 = 117°
Let R(x)=3x3+2x2+x and S(x)=4x2+1. Find R(x)−S(x).
Answers
Answer:
hope it will help u......................
The function R(x) - S(x) is [tex]3x^{3} -2x^{2} +x-1[/tex].
What is function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called function.
According to the given question.
We have two functions
[tex]R(x) = 3x^{3} +2x^{2} +x[/tex]
And, [tex]S(x) = 4x^{2} + 1[/tex]
Therefore, the function R(x) - S(x) is given by
[tex]R(x) - S(x) = 3x^{3} +2x^{2} +x-(4x^{2} +1)[/tex]
[tex]\implies R(x) - S(x) = 3x^{3} +2x^{2} +x - 4x^{2} -1[/tex]
[tex]\implies R(x) - S(x) = 3x^{3} -2x^{2} +x-1[/tex]
Hence, function R(x) - S(x) is [tex]3x^{3} -2x^{2} +x-1[/tex].
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ANSWERS:
positive linear
negative linear
nonlinear
no relationship
Answers
Answer:
Step-by-step explanation:
No relationship i belive
Step by step explanation
Given
f (x) = x3 + 1
and
g(x) = x – 1
find the composition
f(g(x))
Answers
Answer:
(x-1)³+1
is correct option
if a student is selected at random, find the probability the student is a male given that its a sophomore
Answers
You have 6 male sophomores so you would do 6/30 = 0.2
Or
20%
Answer:
60
Step-by-step explanation:
:)
What is the answer I need helppppp
Answers
Answer:
y= 4 x=0 (0,4)
Step-by-step explanation:
5x+y=4
-5x +y=4
the 5x would cancel out because they equal zero
2y=4
divide both sides by 2
y=4
put the y into one of the equations
5x +4 =4
subtract 4 from both sides
5x=0
divide five from both sides
x=0/5
so x=0
Step-by-step explanation:
5x+y=4 --> y=-5x+4
Plug this into the other equation:
-5x+(-5x+5)=4
Simplify:
-10x=1
x=-.1 (save this answer)
Plug into first simplified equation:
y=-5(-.1)+4
Solve:
y=4.5
(-.1 , 4.5)
15. What is the equation of the line that contains the point (3,-1) and is perpendicular to the line whose
equation is 6x + 2 y = 4?
Answers
Answer:
2y=-2x
Step-by-step explanation:
2y=4-6x
2y=-2x
y=-1
EASYY ASAPPP!!!!!!
Include 3 examples of each vertical, horizontal, and oblique lines of symmetry that you can find in your house. List them below
Answers
Answer:
fridge. door. cabinet. Each line goes from bottom right to top left
Step-by-step explanation:
please help me i don’t know how to solve this
Answers
Answer:
welp good luck ha
Step-by-step explanation:
