Answer: 8,16
Step-by-step explanation:
Angel Sanchez has 10 books on a shelf; 5 mysteries, 4 science fiction books, and 1 biography. Determine the probability of each situation below.
a) Selecting one biography and then one mystery, with replacement
b) Selecting one biography and then one mystery, without replacement
a) The probability of selecting one biography and then one mystery, with replacement, is 17
(Type an integer or a simplified fraction)
Answer:
a) 1/10 x 5/10 = 1/20
b) 1/10 x 5/9 = 1/18
Step-by-step explanation:
a) Probability of selecting one biography and then one mystery, with replacement: 1/20
b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.
The probability of each situation can be calculated as follows:
a) Selecting one biography and then one mystery, with replacement:
With replacement means that after each selection, the book is put back on the shelf before the next selection.
The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).
The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).
The overall probability is the product of the individual probabilities:
Probability = (1/10) * (5/10) = 1/20
So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.
b) Selecting one biography and then one mystery, without replacement:
Without replacement means that after each selection, the book is not put back on the shelf before the next selection.
The probability of selecting the biography first is still 1 out of 10 books.
However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).
The overall probability is the product of the individual probabilities:
Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%
So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.
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the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then replaced and then a second card is selected find the probality of obtaining the letter p twice
Answer:
The probability of obtaining the letter p twice is 1/121
Step-by-step explanation:
Probability of Recurring Events
There are 11 letters in the word 'independent', one of which is the letter 'p'.
When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.
This means the individual probability of getting a 'p' is:
[tex]\displaystyle P_1=\frac{1}{11}[/tex]
The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:
[tex]\displaystyle P_2=\frac{1}{11}[/tex]
We'll use the multiplication rule. Just multiply the probability of the first event by the second.
[tex]\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}[/tex]
[tex]\displaystyle P=\frac{1}{121}[/tex]
The probability of obtaining the letter p twice is 1/121
The high temperatures for two consecutive days were 83°F and 79°F. If the average(mean) high temperaature, including a third day, was greater than 82°F, then what was the high temperature on the third day? Write an inequality representing the problem.
Answer:
83F+79F+X
----------------- >82F
3
Step-by-step explanation:
X is the unknown temp, which is the third day. adding all those up and dividing that by 3 will give you the average. if the average is above 82F, then you just add a > symbol showing that its higher than 82F
Is this true or false ??
what is equivalent to 6x-3y=12
Answer: x= 1/2y+2
Step-by-step explanation:
Simplify 8 - (14) please help
Answer:
The answer is - 6 hope this helped
Benson is building cabinets he can build 1 1/2 cabinets in 3/4 hour how many cabinets can he build in one hour
Answer:
2
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]
cross-multiply: 6x = 12
x = 2
Answer:
2 cabinets
Step-by-step explanation:
In 3/4 hour he builds 1 1/2 cabinets.
1/4 hours is 1/3 of 3/4 hour.
In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.
In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.
Answer: 2 cabinets
I need the answer ASAP
Answer:
the are is 14
brainliest??
Step-by-step explanation:
Answer:
48ft
Step-by-step explanation:
Hope this helps. :)
Multiply (6.5 x 10)(1 x 10). Express the result in scientific notation.
Answer:
ans=6.5×10²
Step-by-step explanation:
ans =650=6.5×10²
if (x + p) is a factor of both x^2 + 16x + 64 and 4x^2 + 37x + k, where p and k are nonzero integer constraints, what could be the value of k?
Step-by-step explanation:
x² + 16x + 64 = (x + 8)². Hence p = 8.
Since (x + 8) is a factor of 4x² + 37x + k,
4(-8)² + 37(-8) + k = 0. (by Factor Theorem)
=> 256 - 296 + k = 0
=> k - 40 = 0
=> k = 40.
The value of k is 40.
How many fifths in 3/4?
Answer:
19
Step-by-step explanation:
Can you help me understand?
Answer:
-3,10
Step-by-step explanation:
what is the result of 54×18 written in standard form
Answer:
9.72 x 10^2
Step-by-step explanation:
A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1oth of a percent, thai
all three marbles drawn will be green?
Answer:
20%
Step-by-step explanation:
4+3+7=14
14÷7=2
2×10=20
If I am wrong please tell me I haven't had to do this me method in 3 years
what is 696 39/100 into a decimal
Answer:
696.39
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer: 696 39/100 into a decimal is 696.39
4. Which of the following represents a function?
(8,3), (8,3), (-8, -3), (-8, -3)
0 (-5, 6), (-5, 6), (-5, -6), (-5, -6)
O (3,9), (-7, 1), (6, 12), (-3, -9)
O (5, 1), (5,2), (5, 3), (5, 4)
Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5 12% of the selling price.
a. How much commission will the salesperson earn by selling a couch for $495? Round to the nearest cent.
please show work i would appreciate it
Answer:
a) x = 14
b) The perimeter of △QRS is 77 units.
Step-by-step explanation:
a) Due to the question asking for a solution using the Triangle Proportionality Theorem, it is assumed that △RQS is similar to the smaller triangle inside it.
Let us define the point at which the line inside △RQS meets line RQ as T, and the point at which that same line meets line RS as V.
Hence, △RTV ~ △RQS.
According to the Triangle Proportionality Theorem:
[tex]\frac{RT}{RQ} = \frac{TV}{QS} = \frac{VR}{SR}[/tex]
Hence, we can substitute all values that we know from the diagram:
[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{TV}{17} = \frac{21 - 7}{21}[/tex]
After getting this information, all we have to do is simplify and solve the equation:
[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{21 - 7}{21}[/tex]
[tex]\frac{2x - 2}{2x + 11} = \frac{14}{21}[/tex]
[tex]\frac{2x - 2}{2x + 11} = \frac{2}{3}[/tex]
[tex]3(2x - 2) = 2(2x + 11)[/tex]
[tex]6x - 6 = 4x + 22[/tex]
[tex]6x - 4x = 22 + 6[/tex]
[tex]2x = 28[/tex]
[tex]x = 14[/tex]
To verify this answer, we can plug in the value of x into the equation:
[tex]\frac{2(14) - 2}{2(14) - 2 + 13} = \frac{2}{3}[/tex]
[tex]\frac{26}{39} = \frac{2}{3}[/tex]
[tex]\frac{2}{3} = \frac{2}{3}[/tex]
Hence, after verification, we can get the answer: x = 14.
--------------------------------------------------------------------------------------------------------------
b) To find the perimeter of △QRS, all we have to do is to add all the lengths of the sides of △QRS together.
Hence, 2(14) - 2 + 13 + 17 + 21
= 28 - 2 + 13 + 17 + 21
= 77 units
Therefore, the perimeter of △QRS is 77 units.
Hope this helped!
Dad gave his son 60 euros to buy wallpaper. In the store, it turned out that the price for one roll wallpaper increased by 3 euros, and because of this, the son was able to buy 1 roll of wallpaper less than he needed. How many rolls of wallpaper could he buy and how much did one roll cost? Did he do the right thing to buy the wallpaper?
Answer:
$92.296
Step-by-step explanation:
no, he did not make the right decision that's $19.096 over the budget.
Determine the parent function
Y=x3. Y=^x. Y=1/x
Answer:
First one is B
Second one is A
next time dont shoot your computer
Step-by-step explanation:
The parent function of the graph is y = √x
How to determine the parent function?The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit
This means that the equation of the graph is:
y = 3 + √(x - 1)
Remove the translated points
y = √x
Hence, the parent function of the graph is y = √x
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For the class field trip, the fourth grades at Jefferson Elementary School need to take buses. Each bus fits 55 students and there are 200 students in fourth grade. How many buses will they need?
3 buses
3 R20 buses
4 buses
None of these is correct.
They will need 4 buses.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
For the class field trip,
the fourth grades at Jefferson Elementary School need to take buses.
Each bus fits 55 students,
and there are 200 students in fourth grade.
The number of buses,
= 200/55
= 3.63
≈ 4.
Therefore, the need is for 4 buses.
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A 5 lb. package of chicken costs $6.00. What is the cost per pound?
Answer:
$1.2
Step-by-step explanation:
Cost per pound = 6/5 = $1.2
Answer:
1.20 a pound
Step-by-step explanation:
a race car driver completes 30 laps in 15 minutes at a constant speed.
What's is the driver's speed?
Answer:
2 laps per second.
Step-by-step explanation:
30 divided by 15 equals 2. If you wanted to convert the speed into a more conventional unit you would multiply 2 by the length of a lap.
Amine passes through the points (710) and (7, 20). Which statement is true about the line?
It has a slope of zero because it in the formula -
is zero, and the numerator of a fraction cannot
It has a slope of zero because in the formula -
is zero, and the denominator of a fraction
cannot be zero
It has no slope because yn dy in the formula
is zero, and the numerator of a fraction cannot be
it has no slope because ty - to in the formula m-
is zero, and the denominator of a fraction cannot be
zero
Answer: Choice D)
No slope, the term x2-x1 is zero and we cannot have zero in the denominator.
=========================================
Explanation:
The two points both have x coordinates x = 7. Since both x coordinates are the same, they subtract to 0. Recall that something like 1/0 is undefined, so we cannot have 0 in the denominator.
The line through (7,10) and (7,20) is a vertical line. All vertical lines have undefined slopes.
The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?
please answer asap
Answer: If the a and b of your formula mean how many hours it takes each
person, like a = 2 and b = 1, then the formula gives 3/2 or 1 hour and
30 minutes. This is not reasonable, since one of the painters alone
could do it in 1 hour.
Actually, your formula is UPSIDE DOWN. It should be (a*b)/(a+b).
Here's why.
Let h be the number of hours it takes for the two of them to do it
together. The first person could do it all in a hours, but can paint
only a fraction of the wall working h hours. Assuming a constant rate
of painting, that fraction is h/a. That is, the first painter will
paint h/a of the wall in h hours.
Similarly, the second painter will paint h/b of the wall in that time.
So, when will they be done? When the whole wall is painted, which
happens whenever those 2 fractions add up to 1.
You need to solve the following equation:
(h/a) + (h/b) = 1
h*b + h*a = a*b Multiplying through by a*b
h*(b+a) = a*b Factoring out h
h = (a*b)/(a+b) Dividing both sides by b+a
Okay, now say 3 painters could do it in a hours, b hours or c hours,
respectively. Let h be the number of hours they all must work to get
it all painted. The first painter finishes h/a of the wall in that
amount of time. The other 2 painters manage to paint h/b of the wall
and h/c of the wall in that time. Since h is the time to finish the
job, all 3 of these fractions must add up to the whole wall, or 1.
So you have the equation:
h h h
--- + --- + --- = 1
a b c
Solve this for h (start by multiplying through by a*b*c) and you will
get the generalized formula for 3 painters. It's not the formula you
wrote above but I think you can finish it off.
(I hope this helps. I'm sorry if it's wrong)
3. The Round Rock Express has a pitcher with an impressive winning record. Opposing teams are attempting to analyze his pitches. The pitcher throws a strike 35of the time. If the pitcher throws a strike the next pitch is a fastbal 40% of the time. If the pitcher doesn't throw a strike the next pitch is a fastball 80% of the time.
Answer:
0.66
Step-by-step explanation:
Given:
Let P(Throwing strike) = 0.35
So,
P(S') = 1 - 0.35 = 0.65
P(A / B) = P(A and B) / P(B)
P(Throwing fastball and thrown strike) = P(F / S) = 40% = 0.4
P(Throwing fastball not thrown strike) = P(F / S') = 80%
P(Throwing fastball not thrown strike) =0.8
So,
P(F and S) = 0.8 x 0.65
P(F and S) = 0.52
P(F) = [P(F / S) x P(S)] + [P(F / S') x P(S')]
= (0.4 x 0.35) + (0.8 x 0.65)
= 0.14 + 0.52
= 0.66
Write a linear function f with the values f(0) = 1 and f(-2)=-3,
Oy=-2x-3
O y = x + 2
O y = 2x + 1
O y=-3x + 1
Evaluate: 12y+9d if y = 5 and d = 7
Answer:
123
Step-by-step explanation:
Substitute values of y and d into equation.
12y+9d = 12(5) + 9(7)
Evaluate.
12(5) + 9(7) = 60 + 63
Simplify.
60 + 63 = 123
Answer:
123
Step-by-step explanation:
12y + 9d
12(5) + 9(7)
60 + 63
123
Find the value of this expression if x = 5 and
y = 2.
xy^2/-3
Answer:
The value of this expression is:
[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]Step-by-step explanation:
Given the expression
[tex]\frac{xy^2}{-3}[/tex]
Apply the fraction rule: a/-b = -a/b
[tex]\frac{xy^2}{-3}=-\frac{xy^2}{3}[/tex]
substituting x = 5, y = 2 in the expression
[tex]=-\frac{\left(5\right)\left(2\right)^2}{3}[/tex]
[tex]=-\frac{\left(5\right)\left(4\right)}{3}\:[/tex]
[tex]=-\frac{20}{3}[/tex]
Therefore, the value of this expression is:
[tex]\frac{xy^2}{-3}=-\frac{20}{3}[/tex]Please help me
Find the value of x.
Answer:
d: x = -8
Step-by-step explanation:
40 + 65 + x + 83 = 180 (sum of internal angles of a triangle)
x = 180 - 40 - 65 - 83
x = -8