For two events M and N, P(M)=0.6, P(N|M)=0.9, and P(N|M′)=0.2. Then P(M′|N.) is 0.7
This can be easily solved if we know the formula:
P(A or B) = P(A) + P(B) - P(A and B)
So, for this problem, we can modify the formula to be:
P(M or N) = P(M) + P(N) - P(M and N)
Using given information, we can solve:
P(M or N) = P(M) + P(N) - P(M and N)
P(M or N) = 0.6 + 0.2 - 0.1
P(M or N) = 0.7
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What is the answer to this question
A locus, or point, line, or moving surface, is a curve or other shape created in mathematics by all the points that meet a specific equation describing the relationship between the coordinates.
What is the formula to determine a point's locus?Suppose P(x,y) P (x, y) is a point on the specified locus. In order to depict an ellipse, the aforementioned equation might be changed to the form x2a2+y2b2=1, or x2a2 + y2b2 = 1. Thus, 36x2 + 20y2 = 45, which is an ellipse, is the equation of locus.A locus, or point, line, or moving surface, is a curve or other shape created in mathematics by all the points that meet a specific equation describing the relationship between the coordinates. The locus is defined as a set of points that includes all shapes including circles, ellipses, parabolas, and hyperbolas.To learn more about locus refer to:
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5. A store sells 2 boxes of 100 pencils and some single
pencils. Choose all the numbers that show how many pencils
the store could sell.
219
o 120
206
O 182
Solve the following: (2 points)
two and four fifths − one and two fifths
a
three fifths
b
1
c
one and two fifths
d
one and three fifths
3/5
1 whole
1⅖
1⅗
here are your answers I hope ot helped
Answer:
the answer is c
Step-by-step explanation:
I need help right now!!!
1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.
2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.
What does it mean for figures to be congruent?When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.
Similar figures have the same shape, but they may have different sizes and be located in different positions.
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Select the interval where h is positive.
Pleaseee HELP
b
Step-by-step explanation:
Answer:
2<x<3
Step-by-step explanation:
I did it on khan
21. The two triangles below are similar. What is the perimeter of triangle XYZ? Y M 20 cm L 25 cm 15 cm X N 2 6 cm Z
Answer:
175.5 cm.
Step-by-step explanation:
Since the triangles XYZ and LNM are similar, we know that their corresponding sides are proportional. Specifically, we have:
XY / LN = XZ / LM = YZ / NM
Substituting in the given lengths, we have:
XY / 25 = XZ / 20 = YZ / 15
Multiplying by the lowest common denominator of 300, we get:
12XY = 15XZ = 20YZ
Let's use the first equation to solve for XY:
XY = (15/12) XZ = (5/4) XZ
Now, let's use the third equation to solve for YZ:
YZ = (12/20) XZ = (3/5) XZ
Finally, we can use the fact that the perimeter of triangle XYZ is the sum of its side lengths:
Perimeter of XYZ = XY + YZ + XZ
= (5/4) XZ + (3/5) XZ + XZ
= (39/20) XZ
To find XZ, we can use the second equation:
XZ / 20 = XY / 25
XZ = (20/25) XY
XZ = (4/5) XY
XZ = (4/5) (5/4) YZ
XZ = YZ
So, XZ = YZ = (3/5) XZ.
Substituting this into the expression for the perimeter of XYZ, we have:
Perimeter of XYZ = (39/20) XZ
= (39/20) (3/5) YZ
= (117/100) YZ
= (117/100) (15)
= 175.5 cm
Therefore, the perimeter of triangle XYZ is 175.5 cm.
Please Solve, Thank you!
The largest value for 60 such that 0 < x - c < 5 - f(x) < e is x < -5/7.
To determine the largest open interval about c on which the inequality f(x) - LI < e holds, we need to find the interval where the difference between f(x) and LI is less than e.
Given:
f(x) = 8x + 81
L = 11
c = 5
e = 0.04
We can start by substituting the values of L and c into the function f(x):
f(x) - LI = 8x + 81 - 11(5) = 8x + 81 - 55 = 8x + 26
Now we want to find the interval where 8x + 26 < e. Substituting e = 0.04, we have:
8x + 26 < 0.04
Subtracting 26 from both sides of the inequality, we get:
8x < -25.96
Dividing both sides by 8, we obtain:
x < -3.245
Therefore, the largest open interval about c = 5 on which the inequality f(x) - LI < e holds is (-∞, -3.245). In interval notation, this can be written as (-∞, -3.245).
Now let's determine the largest value for 60 such that 0 < x - c < 5 - f(x) < e.
Substituting the values of c and f(x) into the inequality, we have:
0 < x - 5 < 5 - (8x + 81)
Simplifying the inequality, we get:
0 < x - 5 < -8x - 76
Combining like terms, we have:
8x < x - 5 < -76
Adding 76 to all sides of the inequality, we obtain:
8x + 81 < x + 76 < 0
Subtracting x from all sides, we get:
7x + 81 < 76 < -x
Subtracting 81 from all sides, we have:
7x < -5 < -x
To isolate x, we need to multiply all sides by -1. Since we're looking for the largest value for 60, we will multiply all sides by -1 and reverse the inequality signs:
-x > 5 > 7x
Dividing all sides by 7 and flipping the inequality signs, we have:
x < -5/7 < -x/7
Since we want the largest value for 60, we need to maximize x. So, x must be less than -5/7.
Therefore, the largest value for 60 such that 0 < x - c < 5 - f(x) < e is x < -5/7.
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4x+3y=7 what is the coefficients
nasa pick po yong sagot
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What is the percentage equivalent to 16 over 40?
Answer:
16/40 = 40%
Step-by-step explanation:
I divided 16/40 and got 0.4,
To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.
Sydney started with no money in her piggy bank and adds $3.50 each day. Destiny started with $50 in her piggy bank and spends $5 of her money each day. Which equation or inequality represents the number of days, x, needed for Destiny and Sydney to have the same amount of money in their piggy banks?
The inequality represents the number of days, x, needed for Destiny and Sydney to have the same amount of money in their piggy banks is 50 ≥ 3.5x + 5
We are given that Sydney started with no money in her piggy bank and adds $3.50 each day. Destiny started with $50 in her piggy bank and spends $5 of her money each day.
We need to find the equation or inequality that represents the number of days, x, needed for Destiny and Sydney to have the same amount of money in their piggy banks.
Sydney started with zero money in her piggy bank and adds $3.50 each day means 0 + 3.50 and Destiny started with $50 in her piggy bank and spends $5 of her money each day then
the inequality becomes as ;
50 ≥ 3.5x + 5
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A straight-line graph is defined by y = -2x. Determine the x-intercept of the graph.
Number of people who own a Nintendo Switch in different cities listed below. Round your ratio as a decimal to 5 places. Round the Owners per 100 to one decimal.
Answer:
See below
Step-by-step explanation:
See numbers as table below and as attachment
Calculation used to get numbers:
Ratio = owners/population, round to 5 decimal placesOwners per 100 = ratio*100, round to 1 decimal place==============================================================
City Owners Population Ratio Owners per 100
Indianapolis 6,246 900,000 0.00694 0.7
New York 911,216 18,600,000 0.04899 4.9
Cairo 10,598 19,100,000 0.00055 0.1
Beijing 959,611 21,200,000 0.04526 4.5
Tokyo 1,700,510 26,500,000 0.06417 6.4
==============================================================
v= u + at
u= 2
a = -7
t = 0.5
Work out the value of v.
Answer:
17/5
Step-by-step explanation:
v=2+(-7×1/5)
=2+7/5
=10+7/5
=17/5
The value of v is obtained as -1.5.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The given equation is v = u + at
And, the values of u, a and t are given as 2, -7 and 0.5 respectively.
Now, substitute the values of the quantities given in the problem to obtain,
v = u + at
=> v = 2 + -7 × 0.5
= 2 - 3.5
= -1.5
Hence, the value of v for the given equation is given as -1.5.
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66% of 62 is...? **SHOW YOUR WORK** PLEASE HELP!! :'(
Step-by-step explanation:
divide 62 by 100 and then multiply that number by 66. I don't have a calculator on me rn sorry
Answer:
Fraction:
\(\frac{1023}{25}\)
Decimal:
40.92
Mixed Number:
\(40\frac{23}{25}\)
Step-by-step explanation:
66% is the same this as \(\frac{66}{100}\). You can simplify \(\frac{66}{100}\) to \(\frac{33}{50}\). Then, find \(\frac{33}{50}\) of 62, which is the same thing as \(\frac{33}{50}\) x 62. You’ll get either of the three options, a fraction, decimal, or a mixed number, but all three are the same thing (you get to choose which one).
Hope this helps! :)
carlos can write 3 to 4 pages in his journal in 2/3 hour. if he writes for 5 hours, what's a reasonable number of pages he can write in that time?
Answer:
23, 24, 25, 26, 27, 28, 29, or 30
22.5 ≤ p ≤ 30
Step-by-step explanation:
So we know that in 2/3 hours, Carlos can write 3 to 4 pages.
First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.
\(\frac{5}{\frac{2}{3}}=7.5\)
So there are 7.5 2/3's in 5.
Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.
7.5(4) = 30
So the maximum amount of pages Carlos can write in 5 hours is 30.
Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.
7.5(3) = 22.5
So the minimum amount of pages Carlos can write in 5 hours is 22.5.
Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.
22.5 ≤ p ≤ 30
Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.
I hope you find my answer and explanation to be helpful. Happy studying.
Admission to the county fair costs $9 per person. The ride tickets cost $2.50 each.
Which equation represents the total cost, C, of visiting the fair where r represents the number of ride tickets bought?
Answer:$11.5
Step-by-step explanation:
Admission = $9 charged once
each ride = $2.5x (x=number of rides)
Total cost for x rides
=2.5x+9
(08.03|08.04 HC)
For the regions A and B shown in the graph:
Part A: Discuss the limits of integration. (3 points)
Part B: Set up an integral expression that represents the total area. (4 points)
Part C: Calculate the total area. (3 points)
The total area from the graph is 2.737.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
First of all, lets calculate the points of intersection (P, Q, R)
x²+3=(x+2) +5
x²-2=√(x+2)
x⁴+4-4x²=x+2
x⁴-4x²-x+2=0
(x-2)(x³+2x²-1)=0
(x-2)(x+1)(x²+x-1)=0
x=2, -1, -1±√(1+4)/2
Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2
So the limit of integration will be
P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))
Q(-1, (-1)²+3)=Q(-1, 4)
Area A:
\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)
= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)
= 2.07
Area B:
\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)
= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)
= 0.667
Total area = 2.07+0.667
= 2.737
Therefore, the total area from the graph is 2.737.
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KK Company sold 10,000 Super-Spreaders on December 31, 2019, at a total price of $1,000,000, with a warranty guarantee that the product was free of any defects. The cost of the spreaders sold is $550,000. The assurance warranties extend for a 2-year period and are estimated to cost $40,000. KK also sold extended warranties (service-type warranties) related to 2,000 spreaders for 2 years beyond the 2-year period for $12,000. Given this information, determine the amounts to report for the following at December 31, 2019: sales revenue, warranty expense, unearned warranty revenue, warranty liability, and cash
The amounts to report at December 31, 2019 are:
Sales revenue $1,000,000Warranty expense $40,000Unearned warranty revenue $12,000Warranty liability $40,000Cash $1,012,000Amount to reported on income and balance sheet:Amount reported in Income
Sales revenue $1,000,000
Warranty expenses $40,000
Amount reported on the balance sheet:
Unearned service revenue $12,000
Cash $1,012,000
($1,000,000 + $12,000)
Warranty liability $40,000
Inconclusion the amounts to report at December 31, 2019 are: Sales revenue $1,000,000, Warranty expense $40,000, Unearned warranty revenue $12,000, Warranty liability $40,000 and Cash $1,012,000.
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The bank requires that the Dotkoms pay their homeowner's insurance, property taxes,
and mortgage in one monthly payment to the bank. If their monthly mortgage payment
is $1,711.22, their semi-annual property tax bill is $3,239, and their annual homeowner's
insurance bill is $980, how much do they pay the bank each month?
Using proportions, it is found that they pay the bank $2332.72 each month.
What is a proportion?A proportion is a fraction of a total amount.
Their payments are given by:
Monthly mortgage of $1,711.22.Semi-annual property tax bill is $3,239, that is, it is paid every 6 months, hence 3239/6 = $539.83.Annual insurnce of $980, hence 980/12 = $81.67 each month.Then, the total amount is:
1,711.22 + 539.83 + 81.67 = $2332.72.
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Ciana earns an hourly wage of $30 at her job. In order to purchase her sneakers she will have to take time off work, so each hour away from her job
costs her $30 in lost Income. Assume that ciana travel time is the same each way (to and from the store) and that it will take her 30 minutes once
she reaches a store to complete her shopping. Assume throughout the question that ciara incurs no additional costs other than the sneakers, such as
gas.
complete the following table by computing the opportunity cost of ciana’s time and the total cost of shopping at each location
Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.
How to determine the opportunity cost?Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:
Total economic cost:
Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144
Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131
Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135
Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).
Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.
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Derek works 43 hours at a rate of pay of $15 per hour. He receives double pay over 40 hours. What is his gross pay?
The Gross pay which Derek gets is 690 dollars.
What is Gross Pay?Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages. The amount remaining after all withholdings are accounted for is net pay or take-home pay.
Here, Total hours worked by Derek = 43 hours
Rate of pay = $15 per hour
Rate of pay beyond 40 hours = $30 per hour
Now,
Rate of pay for the first 40 hours = 40 X 15 = $ 600
Since the pay rate doubles after 40 hours,
Rate of pay for the remaining 3 hours = 3 X 30 = $ 90
Gross Pay = 600 + 90 = $ 690
Thus, the Gross pay which Derek gets is 690 dollars.
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plsss helpppp urgentttt
Answer:
B=100
Step-by-step explanation:
A=100
C=100 (opposite angles are equal0
B=D= 100
complementary angles are 180 so
180-80=100
Can someone help find the surface area, then round the answer to the nearest whole number please?
The Surface Area of cylinders are: 100 yd² , 264 m², 226 mm²
The Surface Area of Can is 219 cm².
We know the formula for Surface Area of Cylinder
= 2πrh
1. Radius = 2 yd
Height = 8 yd
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 2 x 8
= 100 yd²
2. Radius = 7 m
Height = 6 m
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 6 x 7
= 264 m²
3. Radius = 3 mm
Height = 12 mm
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 3 x 12
= 226 mm²
4. Radius = 3.5 cm
Height = 10 cm
So, Surface Area of Can
= 2πrh
= 2 x 3.14 x 3.5 x 10
= 219 cm²
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Solve by using trial and error method : 2x + 3 = 13
How do i write the prime factorization of 360 using division by primes?
Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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Between which x-values and y-values does the cluster lie
Answer:
See below ~
Step-by-step explanation:
x-values :
Lowest : 2Highest : 10Lies between 2 and 10y-values :
Lowest = 4Highest = 11Lies between 4 and 11Answer:B
Step-by-step explanation: The cluster is the 5 points in the bottom right corner or; between x-values 8 and 10 and y-values 4 and 6.
Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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Write the polynomial in standard form. Name the polynomial based on
its degree and number of terms. *
15x + 3x + 3
what is the measure of x
Answer:
x = 9 inches
Step-by-step explanation:
You want the value of x in the similar triangles shown.
ProportionCorresponding sides are proportional. This means the ratio of the horizontal side of the triangle to the vertical side is the same for both.
6/4 = (6+x)/10
15 = 6 +x . . . . . . . . multiply by 10
9 = x . . . . . . . . . subtract 6
The measure of x is 9 inches.
__
Additional comment
You could also write the proportion ...
6/4 = x/(10 -4)
x = 36/4 = 9 . . . . . . . multiply by 6
You can see this if you draw a horizontal line through the figure at the top of the side marked 4 in.
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