Since the events are independent, we have the following property:
\(P(A)=P(A|B)\)That is, the probability of A is the same as the probability of A given B (since the events are independent, event B does not affect event A).
So, if P(A) = 0.3, therefore P(A|B) is also equal to 0.3.
d) A shopkeeper bought two radios for Rs 6,000. He sold one of them at a profit of 20℅
and the other at a loss of 10%. If he gained 2% on his total outlay, at what
he buy each radio?
Answer:
2400 and 3600
Step-by-step explanation:
Radio 1 cost = x
Radio 2 cost= 6000- x
x*1.2+(6000-x)*0.9= 6000*1.021.2x-0.9x+5400=61200.3x= 6120-54000.3x= 720x=720/0.3x= 24006000- x= 3600What is the rental cost? Step by step.
The rental cost in dollars per square foot is $11,00
What is the rental cost in dollars per square foot?Cost of renting 1.250 square feet = $13, 750 per month
Rental cost per square foot = Total renting cost / total renting area
= $13, 750 per month / 1.250 square feet
= $11,000
Hence, $11,000 is the rental cost in dollars per square foot.
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How many times can 8 go into 0?
Answer:
0 times because 8 is greater than 0
Step-by-step explanation:
Answer:
the answer would be 0 because if you try to put 8 into 0, it wont so your answer would be 0
Differential Equations and Slope Fields
Answer:
9x2−x4+y(x2+9)2x(x2+9)2
Step-by-step explanation:
Seventy percent of the children went on the excursion. If 27 stayed at school, how many went?
By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.
We are given that,
No. of children who stayed at school is 27,
Also, 70% of the children went on an excursion.
Suppose, the total number of children in percentage is 100%
Out of which 70% went on an excursion
Thus, the children who stayed at school is 100% - 70% = 30%
By using the Unitary method, we can find out the number of 70% of children.
If 30% of the children are 27
Then 70% of the children are = 27 × 100
30
= 63
∴ the total no. of children in the school = 27 + 63
= 90
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what is the volume of 10in and 12in?
Find the inverse of the given function. f(x) =-5x-9
Answer:
f-1(x)= x+9/-5
Step-by-step explanation:
1. To determine the inverse of the given function, first change f(x) to y. Then, switch x and y in the equation.
2. Now, solve the equation for y.
3. Finally, change y to f -1(x).
how to solve this question?
The revised Doubtful Debts Provision should be, $4,555.
Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):
Net Debts x Provision Rate equals Adjusted PDD.
The computation would then be:
= $91,100 x 0.05
= $4,555 is the adjusted PDD.
Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,
= $4,555 - $3,500
= $1,055
Hence, The revised Doubtful Debts Provision should be $4,555.
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The length of a rectangle is shown below:
If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point)
A. C(−3, −2), D(1, −2)
B. C(−3, −1), D(1, −1)
C. C(−3, −4), D(1, −4)
D. C(−3, −5), D(1, −5)
Answer:
A - C(-3, -2), D(1, -2)
Step-by-step explanation:
Selected financial data for Amberjack Corporation follows.
We provide recruitment solutions for your Future Talent and Volume Hiring needs. Platform. Services.
Define Decimal place?
A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32 etc. In the figure given above, the decimal point separates the whole number 42 from the fractional part . In words, it is written as Forty Two Point Eight Five.One decimal place to the left of the decimal point is the ones place. One decimal place to the right of the decimal place is the tenths place. Keep your eye on the 9 to see where the decimal places fall.Rounding a decimal number to two decimal places is the same as rounding it to the hundredths place, which is the second place to the right of the decimal point. For example, 2.83620364 can be round to two decimal places as 2.84, and 0.7035 can be round to two decimal places as 0.70.To learn more about decimal place refers to:
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no clue what this is either haha
Answer:
x=27
Step-by-step explanation:
63+90+x=180
63+90=153
180-153= 27
Shown below is a wooden six-sided (hexagon) frame. Which of
the following best approximates the slopes of the six line
segments?
O The slopes are approximately -1.4, 0, and 1.4.
O The slopes are approximately -1.7, 0, and 1.7.
O The slopes are approximately -1.8, 1, and 1.4.
O The slopes are approximately -1.7,0, and 1.4
The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.
How to find the slope between two coordinates?The formula to find the slope between two coordinates is expressed as:
Slope = (y₂ - y₁)/(x₂ - x₁)
The slope of each line above the x-axis are:
Slope 1 = (5 - 0)/(5 - 8)
Slope 1 = -1.7
Slope 2 = (5 - 5)/(5 - (-2))
Slope 2 = 0
Slope 3 = (5 - 0)/(-2 - (-5))
Slope 3 = 5/3 = 1.7
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Find the standard form of the equation of the line through (8,-3) that is parallel to the line 3y=4x+8
The standard form of the equation of the line passing through (8,-3) that is parallel to the line 3y=4x+8 is 4x - 3y = 41
How to represent equation in standard form?The equation of the line in standard form can be represented as follows:
Ax + By = C
where
A, B and C are constantTherefore, the standard form of the equation of the line through (8,-3) that is parallel to the line 3y = 4x + 8 is a s follows;
Parallel lines have the same slope.
Hence,
3y = 4x + 8
y = 4 / 3 x + 8 / 3
The slope of the line is 4 / 3. Hence, the line passes through (8, -3). let's find the y-intercept.
y = 4 / 3 x + b
-3 = 4 / 3 (8) + b
b = -3 - 32 / 3
b = -9 - 32/ 3
b = -41 / 3
Hence,
y = 4 / 3 x - 41 / 3
multiply through by 3
3y = 4x - 41
Therefore, the standard form is 4x - 3y = 41
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What are the coordinates of point S on the graph? Put your answer in parenthesis (x,y).
Please help !!! I’ll mark you as brainliest if correct!
A car rental company charges $31 per day and $0.10per mile
(a) computer the cost of renting the car for one day assuming the car is driven 100 miles
Answer:
a) $41
Step-by-step explanation:
26.
12/2(x+6)=2x-9
21
\(\frac{12}{2} (x+6)=2x-9\)
\(6x+36=2x-9\)
\(6x - 2x = -9 + 36\)\(4x = -45\)
\(x = -\frac{45}{4}\)
Hope that I helped you!
The amount of a same le remaining after T days is giving by the equation p(f)=a(1/2) T/h
Answer:
6
Step-by-step explanation:
Are the lines parallel, perpendicular, or neither? 2x-3y=4 and 6y=4x+1
Answer:
parallel
Step-by-step explanation:
How much more will you have in your RRSP in 23 years if you start investing $1,100 at the end of each month now instead of waiting 3 years to begin contributing the same $1,100 at the end of each month? Interest is 6.6% compounded monthly.
How much more will you have in your RRSP in 23 years if you start investing $1,100 at the end of each month now instead of waiting 3 years to begin contributing the same $1,100 at the end of each month? Interest is 6.6% compounded monthly.
Remember that
The formula for the future value of an ordinary annuity is equal to:
\(FV=P\lbrack\frac{(1+ \frac{r}{n} )^{nt} -1}{ \frac{r}{n} }\rbrack\)Part 1
start investing $1,100 at the end of each month now
we have
P=$1,100
r=6.6%=0.066
n=12
t=23 years
substitute in the given formula
\(FV=1,100\lbrack\frac{(1+\frac{0.066}{12})^{(12\cdot23)}-1}{\frac{0.066}{12}}\rbrack\)FV=$708,830.05
Part 2
waiting 3 years to begin contributing the same $1,100 at the end of each month
we have
P=$1,100
r=6.6%=0.066
n=12
t=20 years
substitute in the given formula
\(FV=1,100\lbrack\frac{(1+\frac{0.066}{12})^{(12\cdot20)}-1}{\frac{0.066}{12}}\rbrack\)FV=$545,981.37
Part 3
Find out the difference
$708,830.05-$545,981.37=$162,848.68
therefore
the answer is $162,848.68The graph of triangle ABC is shown below:
What is the area, in square units, of triangle ABC?
Answer:
36 square units
Step-by-step explanation:
Height = 9
Base = 8
Area of a triangle = A = 1/2bh
Plug in
1/2 (8) (9) = 4 x 9 = 36
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
well it is a right trianlg that means that the first side is 90 degrees
and the other two sides are 45 because they look the same angles so 180 minus 90 = 90 divide that by 2 to get 45
Step-by-step explanation:
The sum of the ages of Annabel and her
sister Laurie is 34. Eight years ago, Annabel's age was half of Laurie's age.
Find their ages now
Answer: Annabelle is 14, Laurie is 20
Step-by-step explanation:
First (34-8-8=
Now we have the equation (x+2x=18)
Simplify (3x=18)
Solve (x=6)
Now again (6+8) , (((2)6+8)
Annabelle is 14
Laurie is 20
Find the diameter of a circle with an
area of 99 yd?. Use your calculator's
value of pi and round your answer to
the nearest tenth
Answer: 832
Step-by-step explanation:
trust i got correct
MODELING REAL LIFE A boa constrictor is 18 inches long at birth and grows 8 inches per year. Write an equation in slope-intercept form that represents the length y (in feet) of a boa constrictor that is x years old.
Answer:
y=8x+18
Step-by-step explanation:
8x for each year and 18 is the constant
What would need to happen to create a ratio of 3:1?
Answer:
subtract 2
Step-by-step explanation:
Answer:
Divide an odd number by 3
Step-by-step explanation:
x/2 + 5= -8 what does x equal and show work
Answer:
x = -26
Step-by-step explanation:
x/2 + 5 = -8
First let's combine like terms.
Subtract 5 from both sides.
x/2 = -13
Multiply both sides by 2 to isolate x.
x = -26
Plug this back into the original equation to check your answer.
-26/2 + 5 = -8
-13 + 5 = -8
-8 = -8
Your answer is correct.
Hope this helps!
Answer:
x=-26
Step-by-step explanation:
x/2 + 5 = -8
x/2 + 5 - 5 = -8 - 5
x/2 = -13
x = -26
this is all of the work I did to solve what x is! I hope it helped! There are many other way to solve this problem. This is the way which a lot of ppl do.
Please explain your answer to the question in the picture with steps, thank you.
Answer:
(a) y = x/8
(b) y = 7/8
Step-by-step explanation:
You want a direct variation equation that relates x and y, given y = 2 when x = 16.
(a) Direct variationThe equation for direct variation is usually written in the form ...
y = kx
where k is the constant of proportionality.
The value of k can be found from ...
k = y/x . . . . divide by x
For the given values, k is ...
k = 2/16 = 1/8
The direct variation equation is ...
y = (1/8)x
(b) Find yThe value of y for x=7 is found by substituting 7 for x in the equation above:
y = (1/8)·7
y = 7/8
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Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 5000 shares at $2.75 per share. Stock B opens on Monday with 3000 shares at $4.30 per share. Stock A opens on Tuesday at $3.10 per share, and stock B opens on Tuesday at $4.85 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?
The rate of change of the simple index over one day is approximately 12.78%.
To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.
On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:
Total value of Stock A on Monday = 5000 * $2.75 = $13,750
Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:
Total value of Stock B on Monday = 3000 * $4.30 = $12,900
The total value of the index on Monday is the sum of the values of Stock A and Stock B:
Total value of the index on Monday = $13,750 + $12,900 = $26,650
On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.
The total value of Stock A on Tuesday is:
Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500
The total value of Stock B on Tuesday is:
Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550
The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:
Total value of the index on Tuesday = $15,500 + $14,550 = $30,050
To calculate the percent change in the index, we use the formula:
Percent Change = ((New Value - Old Value) / Old Value) * 100
Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%
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brainly the following stem-and-leaf plot shows the on-record attendance for regional charity drive meetings
What is the mode?
A.)48
B.)84
C.)70
D.)66
Answer:
what does the stem-and-leaf plot look like?