The probability of selecting at random, without replacement, two blue marbles is 5/12.
What is Probability ?
Probability is the measure of the likelihood or chance of an event occurring. It is a mathematical concept that is used to quantify uncertainty and provide a basis for making informed decisions in various fields such as science, engineering, economics, and finance.
To solve the problem, we first need to find the total number of marbles in the urn. Since there are 3 red marbles and 6 blue marbles, there are a total of 9 marbles.
The probability of selecting a blue marble on the first draw is 6/9, since there are 6 blue marbles out of 9 total marbles.
Since we are selecting without replacement, the number of marbles left in the urn changes after each draw. After the first blue marble is selected, there are only 5 blue marbles left out of a total of 8 marbles. Therefore, the probability of selecting a second blue marble is 5/8.
To find the probability of selecting two blue marbles, we multiply the probability of the first draw (6/9) by the probability of the second draw (5/8):
(6/9) x (5/8) = 30/72 = 5/12
Therefore, the probability of selecting at random, without replacement, two blue marbles is 5/12.
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Ans 5(9+(5sq-16)sq)sq
Answer: (the 2s I added are for square 2)
5sq(5g2s2 - 16qs + 9)
Step-by-step explanation:
find product of 3/8 × 4
Answer:
1 and 1/2 or 1.5
Step-by-step explanation:
3/8 × 4/1 = 3/2 = 1 and 1/2
Result in decimals: 1.5
Calculation steps:
3/8 × 4/1 = (3 × 4)/(8 × 1) = 12/8
12 ÷ 4 = 3
8 ÷ 4 = 2
= 3/2 = 1 and 1/2
sin x=
4\3
4\5
10\6
3\5
Evaluate.
(jk−1) ÷j when j=−4 and k=−0.8
Enter your answer as a decimal in the box.
Step-by-step explanation:
(jk−1) ÷j
[(-4)(-0.8) -1] ÷ (-4)
=[ 3.2 -1] ÷ (-4)
=2.2 ÷ (-4)
= -0.55
The solution of the expression "\(\frac{jk-1}{j}\)" is "-0.55".
The given values are:
j = -4k = -0.8→ \(\frac{jk-1}{j}\)
By putting the value of "j" and "k" in the given expression, we get
→ \(\frac{(-4)(-0.8)-1}{-4}\)
By solving the brackets, we get
→ \(\frac{3.2-1}{-4}\)
→ \(\frac{2.2}{-4}\)
→ \(-0.55\)
Thus the above response is correct.
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can u slove ASAP please
Answer:
B) 352
Step-by-step explanation:
45% = 0.45
640 x 0.45= 288
288 is how many students walked to school
So to find how many took the bus to school
640- 288= 352
answer the question in the picture
Answer:
The answer is 692
Step-by-step explanation:
a₁₇ = 72, a₅₁ = 208
aₙ = a + (n-1)d
a₁₇ =a + 16d = 72→ 1
a₅₁ = a + 50d = 208 →2
2-1
34d = 136
d= 4
a₁₇ = a + 16d = 72
72 = a + 64
a = 8
a₁₇₂ = a + (172-1)4
a₁₇₂ = 692
Of the 1800 students at riverside middle school,35% of them are in sixth grade. How many sixth graders are there
write a function to match the function machine
Multiply the input by -3, then
subtract 2
Answer:
The required function is:
f(x) = 3x - 2Please check the attached graph.
Step-by-step explanation:
We need to write a function to match the function machine multiply the input by -3, then subtract 2.
Let 'x' be the input.
Multiply the input by 3 is: 3xSubtract 2: 3x - 2Therefore, multiply the input by -3, then subtracting 2 would give us the result:
f(x) = 3x - 2
Therefore, the required function is:
f(x) = 3x - 2Please check the attached graph.
What is the slope and Y intercept of the equation Y=9
Answer:
y-intercept = 9
slope = 0
Step-by-step explanation:
y = 9 is a horizontal line that passes through the point (0, 9).
The y-intercept is 9.
The slope is 0.
\(\huge\fbox{Hi~there!}\)
We are given the equation of the line: \(\rm{y=9}\) and asked to determine its slope and y-intercept.
The equation of this line is written in slope-intercept form (y=mx+b)
where b is the y-intercept of the line, and m is the slope.
Now, the big question is:
What is the slope and y-intercept of the line?
We need to take a look at the equation to find out.
As we can see, the slope is 0, and the y-intercept is 9.
I hope you find it helpful.
Feel free to ask if you have any doubts.
\(\bf{-MistySparkles^**^*\) here to help
Which of the functions does not have an inverse (is not one-to-one)?
A)f(x) = 7x-5
B) {(3,2), (4,0), (-3,2), (-4,-2)}
C){(0,-1), (4,0), (-8,4)}
D)f(x) = √x+1
Answer:
B
Step-by-step explanation:
2 repeats itsself twice for Y
2. Your bank account has $15 in it. You deposit $3 per day. How much money is in your account after 5 days?
Answer:
30 dollars. I think
Step-by-step explanation:
3x5=15
15+15=30
Note: Deposit means to put in!
The correct answer is 30 dollars.
How did I get my answer? Well I did:
$3 per day times 5 days which is $15. I then added that $15 to the $15 it already contained which was $30
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
A asked of friends if they thought the new Brand X that developed was effective. responded "yes." The used the results to write a TV advertisement claiming that " out of s prefer Brand X ." Is this a valid inference? Explain.
Use pencil and paper. Explain all of the factors that are necessary for an inference to be valid.
Is the inference valid? Explain. Choose the correct answer below.
A.
Yes, because s said yes out of who were asked.
B.
No, because s said yes out of who were asked.
C.
No, because the s asked are not a representative sample of the population of s.
D.
Yes, because the s asked are a representative sample of the population of
please help me
Answer:
No, because the dentists asked are not a representative sample of the population of dentists. So basically C
Step-by-step explanation:
your welcome now where is my 5 star
So far Monica has read 56 of a book she has read the same number of pages each day for five days what fraction of the book does Monica read each day help me
Answer:
14/125
Step-by-step explanation:
56 % ÷ 5 days ie 11.2% per day ie 112/1000 or 14/125
hi, please help me, i really need it
thanks
Exterior Angle Inequality Theorem
\( \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}\)
Direction:
Use the Exterior Angle Inequality Theorem to find the measure of each angle below.
Answer:
\( \huge \underline{\boxed{\sf \red{ \angle C = 27^{\circ} }}}\)
\( \huge \underline{\boxed{\sf \red{ \angle D = 153^{\circ} }}}\)
Solution:
Add the ∠A and ∠B and minus it to 180° to know the measure of ∠C. To find the ∠D add only the ∠A and ∠B.
Finding ∠C
\(\large\tt{{180}^{\circ} = \angle A + \angle B + \angle C}\)
\(\large\tt{{180}^{\circ} = {35}^{\circ} + {118}^{\circ} + \angle C }\)
\(\large\tt{{180}^{\circ} = {153}^{\circ} + \angle C }\)
\(\large\tt{{180}^{\circ} - {153}^{\circ} = \angle C }\)
\(\large\tt{{27}^{\circ} = \angle C }\)
\(\large{\boxed{\tt{\angle C = {27}^{\circ}}} }\)
Finding ∠D or ∠ACD
\(\large\tt{ \angle A + \angle B = \angle ACD }\)
\(\large\tt{ {35}^{\circ} + {118}^{\circ} = \angle ACD }\)
\(\large\tt{ {153}^{\circ} = \angle ACD }\)
\(\large{\boxed{\tt{\angle ACD = {153}^{\circ} }}}\)
\( \normalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}\)
\( \\ \)
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In the figure, the angles are formed by a transversal and two parallel lines. Which angles seem to be congruent?
The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.
Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.
Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)
At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.
Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)
Combining (1) and (2), we get:
∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,
∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.
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One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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Write the answer is (x,y) form
The translation in the form (x,y) is (-3, -10)
How to determine the translation that maps from T to T'?In geometry, translation is a type of transformation that moves each point of a figure to a new location, while preserving the shape and size of the figure. A translation is defined by a displacement vector, which specifies the direction and magnitude of the movement.
T is the initial position of the object and T' is the image (new position) of the object after translation. We can use this equation:
T + translation = T'
translation = T' - T
translation = (6, -2) - (9, 8)
translation = (6-9, -2-8)
translation = (-3, -10)
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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Required:
Develop a confidence interval estimate of the population mean rating for Miami.
Answer: 6.8622 ; 8.1778
Step-by-step explanation:
Given the data:
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Assume a confidence interval of 95%
Using calculator :
The mean of the distribution (m) = 7.52
Standard deviation (s) = 2.314
Sample size),
Obtaining the t score ;
Degree of freedom (df) = (n-1) = 50 - 1 = 49
t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)
Margin of Error :
2.01 * s/√n = 2.01 * 2.314/7.0710678
Margin of Error (E) = 0.6578
Confidence interval:
(Mean - E) ≤μ≤ (mean + E)
(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)
6.8622 ≤μ≤ 8.1778
6x2 + 14 - 10x
What is the value of the expression when x = 5?
A.
170
B.
24
C.
114
D.
864
\(\lsrge\text{Hey there!}\)
\(\mathsf{6x^2 + 14 - 10x}\\\mathsf{= 6(5)^2 + 14 - 10(5)}\\\mathsf{= 6(\bold{25}) + 14 - 10(5)}\\\mathsf{= \bold{150} + 14 - 10(5)}\\\mathsf{= \bold{164} - 10(5)}\\\mathsf{= 164 - \bf 50}\\\mathsf{= \bf 114}\\\\\large\text{Therefore, your answer is: \huge\boxed{\mathsf{Option\ C. 114}}}\huge\checkmark\)
\(\large\text{Good luck on assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Help?.?.??? I’ll give brainliest to the first person who responses
Answer:
1. y=3x
2. y=1x
3. y=7x
4. y=1x+7
5. y=3x-3
6. y=12x+2
Step-by-step explanation:
Hope this helps!
Hi can someone please help me solve the following system of inequalities and state the coordinates in the solution setz
The graph of the system of the inequalities is attached.
To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.
Let's begin with the equation y = -x - 4:
Choose a range of x-values to plot.
For simplicity, let's use x-values from -10 to 10.
Substitute different x-values into the equation to find corresponding y-values.
For example:
When x = -10, y = -(-10) - 4 = 10 - 4 = 6.
When x = 0, y = -(0) - 4 = -4.
When x = 10, y = -(10) - 4 = -10 - 4 = -14.
Plot these points on the coordinate plane and draw a straight line passing through them.
This line represents the equation y = -x - 4.
Next, let's graph the equation y = (3/5)x + 4:
Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.
Substitute different x-values into the equation to find corresponding y-values. For example:
When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.
When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.
When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.
Plot these points on the coordinate plane and draw a straight line passing through them.
This line represents the equation y = (3/5)x + 4.
Now, let's shade the regions based on the inequalities:
For y < -x - 4, we need to shade the region below the line y = -x - 4.
For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.
Hence, the region where the shaded regions overlap represents the solution to both inequalities.
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PLEASE HELP ITS URGENT ITS DUE IN 5 MIN PLEASE HURRY THANK YOU IM FAILING CURRENTLY TRYING TI GET A A
Answer:
C
Step-by-step explanation:
1/2(1/2)=1/4
Help help help!!! Can someone pls help me I’ll give brainliest!!!
Answer:
Vertex: S
Sides: RS and TS
Ways: RST, TSR, or ∠S
Right angle
Brainly pleaseeeeeeeeeeeeee
Mark brainlist please
Record Examination) are normally distributed with a mean of 555 and a standard
deviation of 110. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score below 335.
The percentage of people taking the test who score below 335 is
Answer:
2.5%
Step-by-step explanation:
You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.
Z scoreThe z-score of 335 is ...
Z = (X -µ)/σ
Z = (335 -555)/110 = -220/110 = -2
DistributionThe empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.
P(X < 335) = 5%/2 = 2.5%
The percentage of people taking the test who score below 335 is 2.5%.
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In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A plane is approaching Ottawa Macdonald–Cartier International Airport to land. It is at an altitude of 500 m and a horizontal distance of 3 km from the start of the runway. At what angle is the plane approaching and is it safe for the plane to land?
9514 1404 393
Answer:
9.5°, yes
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...
tan(α) = 500/3000 = 1/6
α = arctan(1/6) ≈ 9.46°
The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.
_____
Additional comment
The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.
order the following decimals from least to greatest 3.21, 3.021, 3.12, 2.121
Answer:
2.121 , 3.021 , 3.12 , 3.21
Step-by-step explanation:
They're in ascending order, aka least to greatest. Just list the lowest number to the highest.
Answer:
2.121,3.021,3.12,3.21
Step-by-step explanation:
321/100, 3021/1000, 312/100, 2121/1000
3210, 3021, 3120, 2121
= 2.121, 3.021, 3.12, 3.21
During the 2005 football season Team Tackle beat Team Sack by 18 points their combined scores totaled 66. the individual team score
1. Team tackles score was ? Points
2. Team sacks score was ? Points
What is the value of x?
Enter your answer in the box
39
X=
102°
Answer:
x=39
Step-by-step explanation:
The interior angles add up to 180 degrees so you do 39+102, which is 141. Then you subtract 141 from 180 and then you get 39 degrees.
What is the domain of f(x) = 2|x - 3| + 1 ?
Domain: all reals, (-∝, ∝)
All inputs for x result in a solution.
5. A conical shaped pile of sand at the beach has a base circumference of 16.5 feet
and stands 10.4 feet high. The Department of Public Works is going to remove
75% of the sand. How much sand will be left in the pile after they remove 75% of
the sand?
Answer: 18.78 cubic feet
Step-by-step explanation:
The detailed analysis is attached below.