Answers
Part (a)
There are 3 face cards (jack, queen, king) in any given suit. We have 4 suits. That gives 3*4 = 12 face cards total.
12/52 = 3/13 is the probability of getting a face card on any random selection. This probably does not change for any future selection because we put the current card back. In other words, the deck has not changed. Contrast this with part (b) where the probabilities will change since the card counts decrease each time (since we don't put the card back).
The probability of getting 3 face cards in a row, with replacement, is:
(3/13)*(3/13)*(3/13) = 0.012289 approximately
This converts to the percentage 1.2289% after moving the decimal point two spots to the right. This is the same as multiplying by 100.
Lastly, round that to one decimal place to get 1.2%
Answer: 1.2The percent sign is already taken care of, so you'll just input the number only.
=============================================================
Part (b)
Like mentioned earlier, the probability of a face card is 12/52
I won't reduce that fraction, as you'll see why below.
After that first card is not put back, the 12 decreases to 12-1 = 11 and we have 52-1 = 51 cards left over.
11/51 is the probability of getting another face card, where we have no replacement going on.
Then 10/50 is the probability of getting a third face card. Again, with no replacement.
Therefore,
(12/52)*(11/51)*(10/50) = 0.009955
is the approximate probability of getting 3 face cards in a row with no replacement. Notice the count down 12,11,10 in the numerators. There's also the countdown 52, 51, 50 in the denominators. This nice pattern only happens if we don't reduce the reducible fractions. This is why I didn't reduce.
Anyways 0.009955 converts to 0.9955% which rounds to 1.0% or simply 1%
Answer: 1Related Questions
Can someone help me figure out what to put in the box, 10 points will be awarded!
Answers
Based on the information given about the Angley marathon, Joe can summarize the message as "Run the Angley marathon for free if A ≥ £850"
How to solve inequality problems?Raise at least £850 and run the Angley marathon for free
let
Minimum amount to be earned = AJoe can summarize the message like this:
Run the Angley marathon for free if A ≥ £850
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ΔXYZ has angles with the following measurements:
m∠X=(10x-33)°
m∠Y=(4x-19)°
m∠Z=(100-2x)°
What are the measures of the three angles?
Answers
Answer:
Below in bold.
Step-by-step explanation:
The 3 angles add up to 180 degrees as they are in a triangle.
So 10x - 33 + 4x - 19 + 100 - 2x = 180
12x = 180 + 33 + 19 - 100
12x = 132
x = 11.
So the 3 angles are
10(11) - 33 = 110 - 33 = 77 degrees
4(11) - 19 = 25 degrees
100 - 2(11) = 78 degrees
factor 7n^2 - 29n - 30
Answers
Explanation:
1.) Rewrite the expression.
7n^2 + 6n - 35n - 30
2.) Factor the expression.
n • (7n + 6) - 5(7n + 6)
3.) Factor out 7n + 6 from the expression.
(7n + 6) • (n - 5)
Please help me with the problem below.
Answers
Answer:
67.5 cm^2
Step-by-step explanation:
we know the length and width of the rectangle and the triangle in the compound shape.
The area of the rectangle is 10 times 5 = 50
the area of the triangle is
17-10 = 7
7 times 5 is 35
35/2 = 17.5
50 plus 17.5 = 67.5 cm^2
Answer: 67.5
Step-by-step explanation: Since this is a irregular shape, you have to split the two shapes. The rectangles area is 50, and the triangles is 17.5.
To find the area of a triangle multiply 1/2 × base × height
To find the area of a rectangle multiply base × height
An awards dinner costs $225 plus $5 for each person making reservations the total bill is $735 how many people attended the dinner
Answers
The number of people attended dinner is 102.
What is an Equation ?An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.
It is given in the question that
An awards dinner costs $225 plus $5 for each person making reservations
the total bill is $735
people attended the dinner = ?
Let x number of people attended the dinner
$225 + $5 * x = $735
5x = 735-225
5x = 510
x = 102
Therefore , 102 people attended the dinner.
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BRAINLIEST (9th grade mathematics)
Half of the road the boy walked at a speed of 6 m / min, the other half - at a speed of 4 m / min. Calculate the average walking speed of a boy.
Answers
Answer:
5 m/min
Step-by-step explanation:
Initial speed = 6 m/ min
Final speedd = 4 m/ min
[tex]Average\:speed\:=\:\dfrac{total\:speed}{2}[/tex]
Average speed = [tex]\dfrac{ 6 + 4}{2}[/tex]
Avg. Speed = 5 m / min.
Which angle is vertical to ∠EID?
Answers
Answer:
C
Step-by-step explanation: It's vertical to the angle, together it makes 368 degrees
Answer:
C) Angle HIA
Step-by-step explanation:
Vertical Angles are the angles directly across from each other in a transversal. In this case, angled EID and HIA are vertical to each other (which also makes them congruent).
Hope it helps!
Agree or disagree.most supervisors accept that i cannot always be on time for work.
Answers
Answer:
The answer is your opinion.
Step-by-step explanation:
Find the measures of a right triangle where one of the acute angles is 3.5 times the other
Answers
Answer:
the other two angles are 70° and 20°
Step-by-step explanation:
The measures of a right triangle where one of the acute angles is 3.5 times the other angle, the angles are respectively, 20°, 70°, 90°
What are the sum of interior angles of triangle ?The sum of all the interior angles of a triangle is 180°
Given that,
A right angle triangle,
In which one of the acute angle is 3.5 times the other triangle
Suppose, one of the acute angle = x
then the other triangle = 3.5x
The sum of the triangle = 180°
x + 3.5x + 90° =180°
4.5x = 180 - 90
= 90
x = 90/4.5
= 20
The one acute angle = 20
The another triangle = 3.5 x 20
= 70
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Which equation can pair with x 2y = 5 to create an inconsistent system?
Answers
The equation that can be paired with x + 2y = 5 to create an inconsistent system is given by:
2x + 4y = 3.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
An inconsistent system is a system that has no solutions, and it happens when the coefficients of x and y are multiples, and the independent terms are not.
Hence:
x + 2y = 5.
2x + 4y = 3.
Is inconsistent, as the variables are each multiplied by 2, but the independent term is not.
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Answer:
A
Step-by-step explanation:
Edge.
You map several locations in your home town using a coordinate plane in which each unit represents 1 mile. Your school is at (-2, 8), your friend's apartment is at (6, -4), and your apartment is at (6, 8). Is your apartment closer to school or your friend's apartment? school O your friend's apartment
please someone answer
Answers
You purchase 100 shares of ravioli den for $45/share. One year later, you sell the shares for $52/share. What was your total gain for your investment in ravioli den?
Answers
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total gain for your investment in ravioli den is $700.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The cost of a single share was $45, while the number of shares where 100, therefore, the total cost of purchasing shares is:
Total Cost = $45×100 = $4,500
The selling price of a single share is $52, while the number of shares is the same, therefore, the total selling price is,
Total Selling Price = $52×100 = $5,200
The total gain for your investment in ravioli den is the difference between Total cost and total selling price. Therefore,
The total gain = $5,200 - $4,500 = $700
Hence, The total gain for your investment in ravioli den is $700.
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what are the answers??????????????????????????????????
Answers
A) 4
B) 13
C)17
D)34
y² + 2y - 48 ( factor the polynomial )
Answers
Answer:
(y - 6)(y + 8)
Step-by-step explanation:
Find two numbers that add to 2 and multiply to -48. Then put them in the form above. Afterwards, use FOIL (First, Outside, Inside, Last) to check the factoring and you get: y² + 2y - 48
Have a great day! :)
Answer:
−8, 6
Step-by-step explanation:
Write the factored form using these integers. (y−8) (y+6)
Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3?
4 units to the left
4 units to the right
8 units to the left
8 units to the right
Answers
The translation of the function y = 2(x - 15)² to y = 2(x - 11)² + 3 is; 4 units to the left.
How to Interpret Graph Translations?
We are given the graph function;
y = 2(x - 15)²
Now, the function above was translated to get;
y = 2(x - 11)² + 3
Now, when we translate a graph to the right, we subtract from the x-value, but if we move the graph to the left, we subtract from the x-value. Thus;
The translation was 4 units to the left.
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please help it says to choose one or more!
Answers
Answer:
it's A And CStep-by-step explanation:
Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be loseAnswer: it’s A and C (45 ft and 37 ft) I think
solve for x
9x - 5
6x + 4
7x + 7
Answers
Answer:
this can not be solved by X cause the equation is not equal to anything
Step-by-step explanation:
1. 9x-5 = 0
(how do we get 9x alone?, ADD five on each side
9x= 5
(how do we get rid of 9?, DIVIDE)
x= 5/9
if you want to get rid of a number, do the opposite!
6x + 4 = 0
- 4 = -4
6x = -4
divide by 6
x = -4/6
now simplify
x = -2/3
7x + 7 = 0
-7. -7
7x = -7
divide by 7
x = -7/7
x = -1
i hope this made sense!!
A school sold all but 5 of ta school sold all but 5 of their old computers for r1200 each the school received r18000 from the sale. how many comps did the school originally old computers for r1200 each the school received r18000 from the sale. how many comps did the school originally have
Answers
Answer:
20
Step-by-step explanation:
The proceeds from the sale can be described by an equation involving the original number of computers.
__
setupLet n represent the number of computers the school originally had. Then n-5 is "all but 5" and is the number sold. Each is sold for ₹1200, and the value of the sale is ₹18000. This can be expressed by the equation ...
(n -5)×1200 = 18000
__
solutionThis 2-step linear equation can be solved by dividing by the coefficient, and adding the opposite of the constant.
n -5 = 18000/1200 = 15 . . . . . divide by 1200
n = 15 +5 = 20 . . . . . . . . . . add the opposite of -5
The school originally had 20 computers.
What is the volume of the right rectangular prism?
15 mm
Î
Area of base = 49 sq. mm
O 64 mm³
3
O 128 mm³
O 735 mm³
O 1,470 mm³
Answers
Answer:
735mm³
Step-by-step explanation:
V=A of base×h
=49×15
=735mm³
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
Out of a randomly selected 2200 people from the population, how many of them
would have an IQ less than 115, to the nearest whole number?
Answers
Using the normal distribution, it is found that 1851 people would have an IQ less than 115.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 100, \sigma = 15[/tex]
The proportion of IQ scores less than 115 is the p-value of Z when X = 115, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{115 - 100}{15}[/tex]
Z = 1
Z = 1 has a p-value of 0.8413.
Out of 2200 people:
0.8413 x 2200 = 1851.
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Answer:
1851
Step-by-step explanation:
if its a whole number than its 1851
PLEASE ANSWER ASAP!!!!!!!!!!!! MUCH APPRECIATED!!
Answers
The equation that's illustrated simply depicts an investment as it shows the principal, and interest rate.
What is an investment?It should be noted that an investment simply means a dedication of an asset in order to increase the value over a period of time.
In this case, the equation that's illustrated simply depicts an investment as it shows the principal, and interest rate. To calculate the investment, the time, amount and rate will be considered.
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Work out the size of angle a and angle b
Answers
Answer:
a = 120°
b = 60°
Step-by-step explanation:
Angle a and 60° are suplementary. The sum of supplementary angles is 180° (straight angle).
a + 60° = 180°
a = 180° - 60°
a = 120°
The sum of angles in the quadrilateral is 360°. Notice how two of the angles in the quadrilateral are marked as right angles (angles marked with a square). Each of them is 90°.
b + 90° + a + 90° = 360°
Substitute a with the value calculated in the previous step.
b + 90° + 120° + 90° = 360°
Solve for b.
b + 300° = 360°
b = 60°
15 points, I have 0 idea how to solve this, please explain your answer
Answers
ANSWER: 26 degrees.
I hope this helps sorry for typos, this was on my phone and please thanks this reply and rate it if it did!
What are the answers for the first page????
Answers
Answer:
which first pagee???There is no any first page????
What is the range of the function y = x2? x ≥ 0 all real numbers y ≥ 0
Answers
Answer:
The range of x is all real numbers including 0 to infinity, making this x ≥ 0
Answer:The range of x is all real numbers including 0 to infinity, making this x ≥ 0
Step-by-step explanation:
Help!
i will report you if you give a bs answer :)
19. a certain chain saw requires a fuel mixture of 5.5% oil and the remainder gasoline. how many liters of 2.5% mixture and how many of 9% mixture must be combined to produce 40.0 liters of 5.5% mixture?
a. 12 4/23 liters of 2.5% and 28 19/23 liters of 9%
b. 28 19/23 liters of 2.5% and 12 4/23 liters of 9%
c. 21 liters of 2.5% and 18 liters of 9%
d. 18 6/13 liters of 2.5% and 21 7/13 liters of 9%
e. 21 7/13 liters of 2.5% and 18 6/13 liters of 9%
f. 18 7/13 liters of 2.5% and 21 6/13 liters of 9%
20. mary can row at the rate of 4 miles per hour in still water. rowing downstream in a river, she can travel 3 times as far in 1 hour as she can rowing upstream. what is the rate of flow in the river?
a. 1 miles per hour
b. 2.5 miles per hour
c. 4 miles per hour
d. 2 miles per hour
e. 3.5 miles per hour
f. 3 miles per hour
Answers
Answer:
E
Step-by-step explanation:
19) Amount of oil in = amount of oil in final product
.025(x) + .09(40-x) = .055(40) (x = 2.5% amt 40 - x = 9% amt)
x = 21.54 L of 2.5 % then 9% = 18.46 L
4 divided by 5/7 in its mixed form and simplest form
Answers
[tex]4\div\cfrac{5}{7}\implies \cfrac{4}{1}\div\cfrac{5}{7}\implies \cfrac{4}{1}\cdot \cfrac{7}{5}\implies \cfrac{28}{5}\implies 5\frac{3}{5}[/tex]
Can someone help please?
Answers
Answer:
its the first one
Step-by-step explanation:
In a quadratic function, the second differences are the same.
In the first table, the first differences are:
3-6 = -3;
2-3 = -1;
3-2 = 1;
6-3 = 3
The second differences are then:
-1--3 = 2;
1--1 = 2;
3-1 = 2
The second differences are the same, so this is a quadratic function.
5x + 3 - 2x = 5. What is the value of x?
Answers
Answer:
x = 2/3
Step-by-step explanation:
5x + 3 - 2x = 5
3x = 5-3
3x = 2
x = 2/3
give brainliest please!
hope this helps :)
Mrs. Nygaard needs 12 hours to grade all of her students’ projects. She made a chart to show how much time she could spend grading the projects during the week.
Project Grading
Day
Hours Grading
Monday
1 and three-fourths
Tuesday
1 and one-half
Wednesday
1 and one-fifth
Thursday
2
Friday
1 and one-fourth
How many hours will Mrs. Nygaard need to work over the weekend to finish grading the projects?
Answers
Answer:
2
Step-by-step explanation:
Mrs. Nygaard need 2 hours to work over the weekend to finish grading the projects