Based on the given shapes △QRS and △KJI, the similarity ratio can be found to be 1/3.
What is the similarity ratio?The similarity ratio can be found as:
RQ / JK = RS / JI = SQ / KI
Solving gives:
2 / 6 = 2 / 6 = 1 / 3
1/3 = 1/3 = 1/3
The similarity ratio of △QRS to △KJI is therefore 1/3.
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Mr. Lewis is 63 years old. He wants to take out a five-year level-term life insurance
policy with a face value $700,000. The monthly premium is $72.
2. If he dies after paying for the policy for 24 months, how much will the insurance
company pay his beneficiaries?
The amount insurance company will pay is $700000.
We are given that
Age of Mr. lewis= 63
Policy value= $700,000
Now,
If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.
Therefore, by algebra the answer will be $700000.
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Between 1896—when the Dow Jones index was created— and 2012, the index rose in 65% of the years. Based on this information, and assuming a binomial distribution, what do you think is the probability that the stock market will rise a) next year? b) the year after next? c) in four of the next five years? d) in none of the next five years? e) For this situation (modeling Dow Jones index), what assumption of the binomial distribution might not be valid? Are the years independent?
Answer:
a) P(x) = 0.67
b) P(y) = 0.67
c) P(x=4) = 0.3325
d) P( x = 0 ) = 0.0039
e) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent
Step-by-step explanation:
A) The probability that the stock market will rise next year = P(x) = 0.67
assuming next year to be X
B) Probability that the stock market will rise the year after next year
= P(y) = 0.67 and this is because the probability is independent of that of the previous years
C) Probability that the stock market will rise in four of the next five years
= P(x=4) = 0.3325
D) probability that the stock market will rise in none of the next five years
= P( x = 0 ) = 0.0039
E) The fact that the rise and fall of the stock market relies on market sentiments violates independence used in Binomial distribution and the years are independent
The probability that the stock market will rise next year = P(x) = 0.65.
The probability that the stock market will rise the year after next is p(y) = 0.65.
The probability that the stock market will rise in four of the next five years is 0.00325.
The probability that the stock market will rise in none of the next five years is 0.0039.
Independent events and probability can be defined as those occurrences that are not dependent on any specific event.
GivenBetween 1896—when the Dow Jones index was created— and 2012, the index rose in 65% of the years.
Based on this information, and assuming a binomial distribution.
1. What do you think is the probability that the stock market will rise next year?
The probability that the stock market will rise next year = P(x) = 0.65.
2. What do you think is the probability that the stock market will rise the year after next?
The probability that the stock market will rise the year after next is p(y) = 0.65.
3. What do you think is the probability that the stock market will rise in four of the next five years?
\(\rm P(x=4) =0.00325\)
The probability that the stock market will rise in four of the next five years is 0.00325.
4. What do you think is the probability that the stock market will rise in none of the next five years?
The probability that the stock market will rise in none of the next five years is 0.0039.
5. What assumption of the binomial distribution might not be valid?
Independent events and probability can be defined as those occurrences that are not dependent on any specific event.
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without using a calculator
cos² 43° - sin² 74° + cos² 47 - Sin16°
Answer:
100
Step-by-step explanation:
because if you add it all up you will find the sum
Perform the following mathematical operation, and report the answer in scientific notation to the correct number of significant figures.
\( \frac{2.500 \times {10}^{2} }{5.00 \times {10}^{ - 5} } \)
= [?] × 10[?]
(((the answer is not 5 10²))
The simplified Expression of 2.5 x 10² / 5 x \(10^{-5}\) is 5 x \(10^6\).
What are Exponents and Powers?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as \(3^4\), where 4 is the exponent and 3 is the base.
Given:
2.5 x 10² / 5 x \(10^{-5}\)
Now, using Exponents and powers
\(a^{-m}\) = 1/ \(a^m\)
So, 2.5 x 10² / 5 x \(10^{-5}\)
= 2.5 /5 x \(10^{2-(-5)}\)
= 25/50 x \(10^{2+5]\)
= 1/2 x \(10^7\)
= 0.5 x \(10^7\)
= 5 x \(10^6\)
Hence, the simplified Expression is 5 x \(10^6\).
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solve and then write the sum in standard form. 1 tenth +2 tenths = -------tenths== -----
Answer:
Solve: 3 tenths
Standard form: 0.3
find the sum of 8 terms of the Arithmetic series: 3,6,9,......
Answer:
Step-by-step explanation:
so write 8 terms.. By observation we know this series just add 3 for each element in the series...
3,6,9,12,15,18,21,24
now we have 8 terms, just add those
3+6+9+12+15+18+21+24= 108
I used my calculator :P
Answer:
Step-by-step explanation:
below
Which of the following statements with respect to political risk is true?
Oa. Political risk premiums are added to the required rate of return to adjust for political risks.
b. Companies cannot take any steps to reduce the potential from loss from expropriation since a foreign
government is involved.
Oc. The risk of expropriation of U.S. assets abroad is high even in traditionally friendly and stable countries.
Od. A company can reduce political risk by structuring operations so that the subsidiary has value only as a part of the
integrated corporate system.
Susie walk 10 miles each week. she has already walked 3 miles this week and expects to walk 100 miles how long will it take her to walk 100 miles
Answer:
10 weeks
Step-by-step explanation: 100÷10=10
big brain
Answer:
9 week and 4 days
Step-by-step explanation:
Write each decimal as a percent: 2.65
Answer:
0.0265
Step-by-step explanation:
A company’s cereal boxes advertise that each box contains 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean μ = 9.70 ounces and standard deviation σ = 0.03 ounce. Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal in these boxes is less than 9.65 ounces?
What is the probability that the mean amount of cereal ¯
in 5 randomly selected boxes is at most 9.65?
The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.
What is the probability?The Central limit theorem is used to find the probability
Data given:
sample size = 5.
mean, μ = 9.70 ounces
standard deviation, σ = 0.03 ounce.
To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.
z = (x - μ) / (σ / √n)wherex is the sample mean,
μ is the population mean,
σ is the population standard deviation, and
n is the sample size.
For the sample mean of 9.65 ounces in 5 boxes:
z = (9.65 - 9.70) / (0.03 / √5)
z ≈ -0.05 / (0.03 / √5)
Using a calculator, we find that the probability is approximately 0.4801.
Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.
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of 30 students, 1/3 play sports. of those who play sports,2/5 play soccer. How many students play soccer?
Answer: 4
Step-by-step explanation:
1 third of 30 is 10 and 2/5s of 10 is 4
A repair company charges a one-time service fee and an hourly rate for the time needed to complete each job. The
table shows the amounts the company used for these charges over four consecutive years.
Charges for Repair Jobs
Year
12 3 4
Service Fee $20 $25 $30 $35
Hourly Rate $52$55 $58 $61
Part A
Using the data in the table, what would the company's service fee and hourly rate, in dollars, be in year 8? Enter
your answers in the first and second response boxes.
Part B
What total amount, in dollars, would the company charge for a job that requires 3 hours of work in year 9? Enter
your answer in the third response box.
Part A: Service Fee
Part 1: Hourly Rate
Answer:
A: Service Fee = $55
Hourly Rate = $ 73
B: $288
Step-by-step explanation:
A: the service rate increases by $5 per year, so year 8 would be $20 more than year 4 (5*4)
The hourly rate increases by $3 per year, so year 8 would be $12 more than year 4 (3*4)
B. Service fee for year 9 would be $60 ($5 more than year 8) and the hourly rate would be $76 per hour ($3 more than year 8). This gives you Service Fee + (Hourly rate * 3) = $60 + ($73*3) = $60 + $228 = $288
8 pipes are required to fill a tank in 1 hr 20 min. How long will it take if only 6 pipes of the same type are used?
Answer:
90 minutes or 1 hour 30 minutes
Step-by-step explanation:
Time taken to fill t is inversely proportional to number of pipes. We can express this as t ∝ \(\frac{1}{n}\) where n is the number of pipes
We can also write this as t = \(\frac{k}{n}\) where k is a constant
Using the data given 80 = \(\frac{k}{8}\) (1)
For 6 pipes, if the time taken is T then
\(T = \frac{k}{6}\) (2)
Dividing (2) by (1) gives
\(\frac{T}{80} = \frac{k}{6}\) ÷ \(\frac{k}{8}\)
\(\frac{k}{6}\) ÷ \(\frac{k}{8} = \frac{k}{6} \frac{8}{k} = \frac{8}{6}\\\\\)
So
\(\frac{T}{80} = \frac{8}{6}\\\\\)
T = \(80 \frac{8}{6}\) (multiplying both sides by 80
And this computes to 90 minutes or 1 hour 30 minutes
Find the area of the figure shown below and choose the appropriate results
A 60 cm
B 66 cm
C 72 cm
D 96 cm
Answer:
sorry if im rong but im prety sure its d
Step-by-step explanation:
Answer:
Step-by-step explanation:
d
Simplify the fraction 14/50
14/50 to its simplest form is 7/25
Answer:
\(\frac{7}{25}\)
Step-by-step explanation:
Find the common factor for both the numerator and the denominator, which is 2:
\(\frac{14}{50} =\frac{7}{25}\)
what percent of 75 is 57?
Answer:
76%
Step-by-step explanation:
57/75
(57 X 100)/ 75
5700/75
1900/25
76/1
76
The average value of the function y = x² – 1 on [0, 12] is
Answer:
47.
Step-by-step explanation:
1) the rule:
\(f_{avr}=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx ,\)
where a;b are 0 and 12, f(x)=x²-1.
2) according to the rule above:
\(f_{avr}=\frac{1}{12-0} \int\limits^{12}_0 {(x^2-1)} \, dx=\frac{1}{12}(\frac{x^3}{3}-x)|^{12}_0=48-1=47.\)
In the diagram below, FC = 10.9,
DE = 17.5, and DF = 13.1. Find the
length of EB. Round your answer to the
nearest tenth if necessary.
D
F
E
C
B
The length of EB is approximately 14.6 units when rounded to the nearest tenth.
To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.
Using the similarity ratio, we can set up the proportion:
DF / CF = DE / EB
Plugging in the given values, we have:
13.1 / 10.9 = 17.5 / EB
To find EB, we can cross-multiply and solve for EB:
13.1 * EB = 10.9 * 17.5
EB = (10.9 * 17.5) / 13.1
EB ≈ 14.6
Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.
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Please someone help me I rlly don’t get this I’ll give you like 40 points
Answer:
Step-by-step explanation:
H(n)=91x(-1/7) n-1
do not know
Hope it helps the answer is the 2nd one have a great day
(a+b square)-(a-b square)
Answer:
\( {(a + b)}^{2} - {(a - b) }^{2} \\ = 1\)
In algebra 0 is written as 1 according to rule.
What coordinate expression represents the coordinates of any point after dilation by a scale factor of 2
Answer: (x,y) → (2x,2y) .
Step-by-step explanation:
A dilation is a transformation that changes the size of the image. It either shrink or enlarge a shape by using a scale factor about a center of dilation.If we transform point (x,y) by using dilation with scale factor k (assume center of dilation at (0,0) then the coordinate of the image will be (kx,ky).
So, the coordinate expression represents the coordinates of any point after dilation by a scale factor of 2:
(x,y) → (2x,2y) .
Answer:
When figure ABCD is dilated by a scale factor of 2, the coordinates of all the points in the dilated figure are multiplied by 2. If (x, y) is any point on the original figure that gets dilated by a scale factor of 2, then the expression that represents the coordinates of this point in the dilated figure is given by (2x, 2y)
Step-by-step explanation:
For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.
ASAAP NEED HELLPPP
Answer:
regular: Eirregular: A, B, Dneither: CStep-by-step explanation:
You want to identify the given shapes as a regular or irregular polygon, or neither.
Regular polygonA regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.
Polygon E is a regular polygon.
PolygonA polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.
Any simple polygon that is not a regular polygon is an irregular polygon.
Polygons A, B, D are irregular polygons.
CircleA circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.
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Cafeteria A has 7 packs of granola bars and 12 loose granola bars. Cafeteria B has 3 packs of granola bars and 84 loose granola bars. If the cafeterias have
the same number of granola bars, how many are in each package?
Each package has 18 granola bars.
Step-by-step explanation:This problem can be solved through a system of linear equations.
1. Form the equations.Let "x" be the total number of granola bars that each pack of granola has. Let "y" be the total amount of granola bars that each cafeteria has.
For cafeteria A: \(7x+12=y\)
For cafeteria B: \(3x+84=y\)
Since both equations are solved for y, we may take the argument at the left of the equal sign from both equations and equal them.
\(7x+12=3x+84\).
3. Solve for x.\(7x+12=3x+84\)
\(7x-3x=84-12\) --> Substract 3x and 12 from both sides.
\(4x=72\) --> Simplify by solving the substraction.
\(\frac{4x}{4} =\frac{72}{4}\)--> Divide both sides by 4.
\(x= 18\)
4. Substitute the vallue of x by x on any of the equations.\(y=7(18)+12\\ \\y=138.\)
5. Interpret the results.If a system of linear equations was created, where 2 equations that gave the number of granola bars that each cafeteria has, then the x value obtained when the system was solved, indicates the amount of granola bars that each cafeteria has in each package. Each package has 18 granola bars.
A fast-food worker works Monday through Friday, 8 hours per day. Daily, the worker receives a -hour break in the morning, a -hour break for lunch, and a -hour break in the afternoon. How many hours of break time does the worker receive per day?
The worker recieves 3 hours of break time per day.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a a fast-food worker works Monday through Friday, 8 hours per day. Daily, the worker receives a hour break in the morning, a hour break for lunch, and a hour break in the afternoon.
The worker recieves three breaks, meaning it recieves 3 hours of break time per day.
Therefore, the worker recieves 3 hours of break time per day.
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Lee watches TV for 4 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (10 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Step-by-step explanation:
1 kilowatt=1000 watt
tv watch time=4*30=120
the watt tv consume=120*150=18000
the kilowatt tv consume=18000/1000=18
electricity cost =10*18
180 cents
Mrs. O'Dell has 8 different
vegetables to plant in her
garden. She wants to divide
her garden into 8 squares. Each
square should be the same size.
Help Mrs. O'Dell divide her
garden into 8 squares. What is
the measurement of each side
of the squares?
The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.
How to divide the total area into 8 squares which are the same size?To begin, let's identify the best way to divide the total area. For this, there are 2 options:
Create two rows each with 4 squares = 4 x 2 = 8Create four rows each with 2 squares = 2 x 4 8=Let's use the first pattern:
Length: 3 meters / 4 = 0.75meters or 75 centimetersWidth= 2 meters / 2 = 1 meter or 100 centimetersBased on this, the dimensions for each section should be 75 centimeters by 100 centimeters.
Note: This question is incomplete; here is the missing section:
Dimensions of the garden: 3 meters x 2 meters
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Please helpppppoooooppppppp
Answer:
3.5 hours of studying to get a 75 on the exam.
Step-by-step explanation:
The y intercept in the graph is 40. This means that the constant in the linear equation is 40.
The slope of the equation is 10 because after the variable x travels one interval, the y travels 10.
To get the hours a student need to get 75 on the exam, we set the equation equal to 75.
75 = 10x + 40 where x = hours studied.
75 - 40 = 10x
x = 35/10
x = 3.5 hours
A rectangle is 15cm wide, and its length was increased by 2cm, if its new perimeter is 70cm. what is its original length? pls solve
Answer:
14 cm
Step-by-step explanation:
If the rectangle is 15 cm wide then the total width is 30.
So we can subtract 30 from 70,
=40
If the length is increased by 2 then there is 4 more cm added to the total length.
We can do, 40-4
=38
If 38 is the total length we do 38 ÷ 2
=14
Thus,
The original length was 14 cm.
Answer:
18cm
Step-by-step explanation:
We can set up an equation to solve this
Let's start by naming the original length before the increase x.
New length is x+2.
Formula for perimeter of a rectangle is 2L+2W=P
Plug known values in
2(x+2)+2(15)=70
Simplify
2x+4+30=70
2x+34=70
2x=36
x=18
The original length is 18cm.
a crowded bus makes several stops along a city street,with no passengers boarding the bus at any stop.At the 1st stop 1/3 of the passengers exit.At the 2nd stop 3/7 of the remaining passengers exit the bus.What fraction of the original passengers remain on the bus?
The fraction of the original passengers remaining on the bus is 11/21.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.
.At the 1st stop 1/3 of the passengers exit.
At the 2nd stop, 3/7 of the remaining passengers exit the bus.
Therefore, The fraction of the original passengers who remain on the bus is,
= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].
= [ 1 - (1/3) - (3/21)].
= [ (2/3) - (3/21)].
= [(14 - 3)/21].
= 11/21.
So, 11/21 remains on the bus.
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Which expression is equivalent to (3+4i)(2−3i)
The expression that is equivalent to the given value would be = 18-i . That is option C.
What is an equivalent expression?An equivalent expression is defined as the type of expression that is similar to a given value when simplified.
The given expression = ( 3 + 4i) ( 2 - 3i)
Expand the given expression by removing the brackets as follows:
= =2(3+4i)−3i(3+4i)
=(6+8i)−(9i−12)
= (6+12)+i(8−9)
=18−i.
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