Answers
Answer:
[tex]perimeter = 14 \frac{3}{4} + 4 \frac{1}{2} + 8 \frac{1}{2} + 10 \frac{2}{5} + 10 \frac{2}{5} + 12 \frac{4}{5} \\ = \frac{59}{4} + \frac{9}{2} + \frac{17}{2} + \frac{52}{5} + \frac{52}{5} + \frac{64}{5} \\ = 61 \frac{7}{20} \: units[/tex]
Related Questions
Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that over the entire 20th century, the real (that is, adjusted for inflation) annual returns on U.S. common stocks had mean 8.7% and standard deviation 20.2%. The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal.
(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?
(b) What is the probability that the mean return will be less than 8%?
Answers
Answer:
a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.
b) 0.4129 = 41.29% probability that the mean return will be less than 8%
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean 8.7% and standard deviation 20.2%.
This means that [tex]\mu = 8.7, \sigma = 20.2[/tex]
40 years:
This means that [tex]n = 40, s = \frac{20.2}{\sqrt{40}}[/tex]
(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?
This is 1 subtracted by the pvalue of Z when X = 13. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{13 - 8.7}{\frac{20.2}{\sqrt{40}}}[/tex]
[tex]Z = 1.35[/tex]
[tex]Z = 1.35[/tex] has a pvalue of 0.9115
1 - 0.9115 = 0.0885
0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.
(b) What is the probability that the mean return will be less than 8%?
This is the pvalue of Z when X = 8. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{8 - 8.7}{\frac{20.2}{\sqrt{40}}}[/tex]
[tex]Z = -0.22[/tex]
[tex]Z = -0.22[/tex] has a pvalue of 0.4129
0.4129 = 41.29% probability that the mean return will be less than 8%
Consider parallelogram ABCD with vertices A(-6,6), B(0,10), C(2,4), D(-4,0). Classify the parallelogram and select all that apply
ABCD is a square
ABCD is a rectangle
ABCD is a rhombus
ABCD is none of the above
Answers
9514 1404 393
Answer:
D. none of the above
Step-by-step explanation:
The sides are different lengths and not at right angles, so the figure is not a rhombus or a rectangle. It is "none of the above."
__
Counting grid squares in the attached figure, we see that one side is the diagonal of a 2×3 rectangle, and the adjacent side is the diagonal of a 1×3 rectangle. This tells you two things: (a) the sides are different length, (b) they are not at right angles to each other. (If the sides were perpendicular, the slopes of the segments would be opposite reciprocals.)
The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs arrive at the hotel every 8 minutes; if a taxi drives by the hotel and the line is full, it must drive on. Hotel guests require a taxi every 5 minutes, on average. It takes a cab driver an average of 3.5 minutes to load passengers and luggage and leave the hotel(exponentially distributed).
1. What is the average time a cab must wait for a fare?
2. What is the probability that the line will be full when a cab drives by, causing it to drive on?
Answers
Answer:
The appropriate solution is:
(1) 22.81 minutes
(2) 0.171
Step-by-step explanation:
According to the question, the values will be:
The service rate of guess will be:
= [tex]5+3.5[/tex]
= [tex]8.5 \ minutes[/tex]
The mean arrival rate will be:
[tex]\lambda =\frac{60}{5}[/tex]
[tex]=7.5 \ cabs/hr[/tex]
The mean service rate will be:
[tex]\mu= 7.05 \ cabs/hr[/tex]
(1)
The average time a cab must wait will be:
⇒ [tex]W_q=22.95-\frac{1}{7.05}[/tex]
⇒ [tex]=\frac{161.798-1}{7.05}[/tex]
⇒ [tex]=\frac{160.798}{7.05}[/tex]
⇒ [tex]=22.81 \ minutes[/tex]
(2)
The required probability will be:
⇒ [tex]P(X\geq 6)=\frac{1-2.115}{1-7.5}[/tex]
⇒ [tex]=\frac{-1.1115}{-6.5}[/tex]
⇒ [tex]=0.171[/tex]
Circle has a radius of 4 and the center is (-4,-8) what is the equation of the circle if I double the radius
Answers
9514 1404 393
Answer:
(x +4)^2 +(y +8)^2 = 64
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The circle centered at (h, k) = (-4, -8) with radius 8 has equation ...
(x +4)^2 +(y +8)^2 = 64
Please help solve (No Link Please!!!)
There is 283 5/8 gal of liquid fertilizer in a fertilizer
application tank. After applying 178 2/3 gal to a soybean
field, the farmer requests that a local farm supply company deliver an additional 250 gal to the tank. How many gallons of fertilizer are in the tank after the delivery?
Answers
Answer:
354 23/24 gallons
Step-by-step explanation:
283 5/8 can be rewritten as 283 15/24
and 178 2/3 can be rewritten as 178 16/24
we do this to subtract the numbers easily.
we get 104 23/24
104 23/25 + an additional 250 gal = 354 23/24
Kyra drove to visit her friend. She traveled 113 miles in 5\frac{2}{7} hours. What was her average speed? Write your answer as a mixed number using a space and the division symbol. Example 2 1/2
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Hey need some help, pretty desperate so please help thank you <3
Answers
Answer:
Hello!
answer x = 46
z = 24
y = 14
In the following equation, which part is the difference?
200 - 150 = 50
200
50
150
Answers
9514 1404 393
Answer:
50
Step-by-step explanation:
The attachment shows the vocabulary associated with a subtraction equation.
In your equation, the difference is 50.
6x2x(x−3) x (x−3)10(x+2)
Answers
The product of given numbers is 60x³(x−3)²(x+2)
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra,
Multiply the numbers:
6x²x(x−3) * (x−3)10(x+2)
Multiply 6 and 10
60x²x(x−3) (x−3)(x+2)
Multiply x terms
60x³(x−3) (x−3)(x+2)
Multiply (x-3) terms
60x³(x−3)²(x+2)
So, the product of given numbers is 60x³(x−3)²(x+2)
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Paulo’s grandfather gave him a collection of 20 coins. Each month Paulo adds 4 coins to his collection. Which inequality can be used to find m, the number of months after starting his collection when Paulo will have more than 50 coins in his collection?
Answers
Answer:
[tex]4m+20>50[/tex]
Step-by-step explanation:
Let m represent the amount of months that has passed.
Paulo started out with 20 coins.
Each month, he adds four more coins to his collection.
Therefore, the amount of coins added after m months will be given by 4m.
So, the amount of coins Paulo has total after m months can be given by:
[tex]4m+20[/tex]
We want to know when Paulo will have "more than" 50 coins in his collection. Therefore, we will use the "greater than" sign. Thus, our inequality will be:
[tex]4m+20>50[/tex]
HELP PLSSSSSSSS I'M LOST PLSSSSSSSSSSSSSSSSSS
Answers
Answer:
1. 1/4 or 25/100, .25 and 25%
2. 1/10 or 1/100, .10 and 10%
Step-by-step explanation:
25 cubes out of 100 is 25/100
Simplify to 1/4
if its 25 cubes out of 100 its gonna fill up 25% or .25 of the whole thing
10 cubes out of 100 is 10/100
then simplify to 1/10
other two are obvious lol
Pleaseee
True or False?
a) a line contains 2 points
b) a plane does not contain 3pts not all one line
c) Through any 2 points, exactly 1 line exists
d) If 2 planes intersect, their intersection is a point
Answers
PLEASE HELP 30 POINTS
Answers
The answer is No!! I hope this helps, have a wonderful day!
Answer:
A) yes, both functions are inverses of each other.
[tex]---------[/tex]
[tex]hope ~ it ~ helps\\\\have ~ a ~ great ~day!![/tex]
Ifn(r'ns')+ n(r'ns)=3 n(r n s) = 4 & n(s'nr)= 7 find n(u).
Answers
Answer:
14
Step-by-step explanation:
You want to know the size of the universal set if ...
n(r'∩s') +n(r'∩s) = 3n(r∩s) = 4n(s'∩r) = 7UniverseThe given sets are mutually exclusive and exhaustive, so the sum of their sizes is the size of the universal set:
n(u) = 3 + 4 + 7
n(u) = 14
__
Additional comment
(r'∩s') ∪ (r'∩s) = r'∩(s' ∪ s) = r' . . . . n(r') = 3
(r∩s) ∪ (r∩s') = r∩(s ∪ s') = r . . . . . . n(r) = 4 +7 = 11
Then r' ∪ r = u, the universal set. . . . . n(u) = 3 +11 = 14
Find the surface area of this box in square inches.
Use the formula : SA= 2lw + 2lh + 2w
L = 18 in
w = 20 in
h = 16 in
Find the surface area of the box.
Use the Formula: SA=2lw+2lh+2wh
L= 10.5 in
W= 15.5 in
H= 20 in
Answers
Step-by-step explanation:
1.
Given that,
L = 18 in , w = 20 in , h = 16 in
The surface area of the box is given by :
SA= 2lw + 2lh + 2wh
Put all the values,
SA= 2lw + 2lh + 2wh
= 2(lw+lh+wh)
= 2(18(20)+18(16)+20(16))
= 2 (968)
= 1936 in²
2.
L= 10.5 in , W= 15.5 in , H= 20 in
The surface area of the box is given by :
SA= 2lw + 2lh + 2wh
Put all the values,
SA= 2lw + 2lh + 2wh
= 2(lw+lh+wh)
= 2(10.5(15.5)+10.5(20)+15.5(20))
= 2 (682.75)
= 1365.5 in²
Hence, this is the required solution.
please help me out asap
Answers
Answer:
[tex] {(x + 5)}^{2} - {x}^{2} \\ {x }^{2} + 10x + 25 - {x}^{2} \\ 10x + 25 \\ 5(2x + 5)[/tex]
Net income in a property is 40000 and cap rate is 10% value of property using the income capitalization method
Answers
The current value of property is 4000
What is the capitalization rate?The capitalization rate (also known as cap rate) is used in the world of commercial real estate to indicate the rate of return that is expected to be generated on a real estate investment property. Formula: Capitalization Rate = Net Operating Income / Current Market Value
Given here cap rate as 10% and income as 40000, Thus Current market value of property is = 40000/10
=4000
Hence, The current value of property is 4000
Learn more about the capitalization rate here:
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Pls help me I beg u I need help with the red ones
Answers
Answer:
see below
Step-by-step explanation:
You want the ingredient quantities for several different multiples of the basic recipe.
Table ValuesTo fill the table, consider what the column heading is as a multiple of the recipe for 12 people. Use that multiplier for the rest of the numbers in the column.
[tex]\begin{array}{ccccc}\text{12 people}&\times2&\times3&\times\dfrac{1}{3}&\times\dfrac{1}{2\vphantom{g_g}}\\\cline{1-5}1\text{ cup}&2&3&\dfrac{1\vphantom{b^b}}{3\vphantom{g_g}}&\dfrac{1}{2}\\3\text{ cups}&6&9&1&1\dfrac{1}{2}\\2\text{ cups}&4&6&\dfrac{2}{3\vphantom{_g}}&1\\\dfrac{1}{2}\text{ cup}&1&1\dfrac{1}{2}&\dfrac{1}{6}&\dfrac{1\vphantom{^b}}{4\vphantom{_g}}\\1\dfrac{\vphantom{^b}1}{3}&2\dfrac{2}{3}&4&\dfrac{4}{9}&\dfrac{2}{3}\end{array}[/tex]
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAINLIEST AND 5 STAR AND THANKS
Answers
Answer:
it wont let me put any numbers down, it keeps saying they're improper
Step-by-step explanation:
In Satoru's hometown, the highest temperature ever recorded is 111°F.
Convert this temperature to Celsius. Round to the nearest tenth of a
degree. F= _C + 32
5
Answers
Answer:
Step-by-step explanation:
F=9/5C+32 should be F = (9/5)C + 32
We are given 111 degrees F and want the same temperature in degrees Celcius.
In F = (9/5)C + 32 multiply all three terms by 5:
5F = 9C + 160, which can be solved for C:
5F - 160 = 9C
Let F = 111. Then 555 - 160 = 9C, or
395 = 9C
Dividing both sides by 9, we get C = 395/9 = 43 8/9 degrees C
What is the difference of the whole number and the mixed number below? 9-3 3/4 A. 5 1/4 B. 6 1/4 C. 6 3/4 D. 5 3/4
Answers
Answer:
A
Step-by-step explanation:
If p is true and q is true, then ^p — ^ ~ q is true.
Answers
Answer:
okey???????????????????????? p and q is true got it.
Answer:
wat?
Step-by-step explanation:
Find two numbers which have a sum of 132 and that can be written as the simplified
ratio 3:8
Answers
Answer:
96 and 36
Step-by-step explanation:
3+8 = 11
132/11 = 12
so:
12 x 3 = 36
12 x 8 = 96
what is 7 divided by 9102
Answers
Answer:
[tex] = 9102 \div 7 \\ = 1300.29 \\ [/tex]
Mathematical answer is just 7/9102.
A bag contains 9 tiles, each with a different number from 1 - 9. You chose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. What is the probability that you choose tiles with the numbers 1, 2, and 3 in that order?
Someone pls explain this. I know the answer is 1/504 but how do you get there?
Answers
The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation and is equal to 1/504.
What are permutations?Permutations refer to the arrangements of objects in certain order or way.
The number of alternative arrangements in a set can be calculated mathematically using a permutation where the order of the configurations is important.
The probability to choose tiles with the numbers 1, 2, and 3 in that order is a form of permutation.
The probability is obtained as 1 / ₉P₃
where;
₉P₃ = 9! / (9 - 3)!
₉P₃ = 9! / 6!
9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
6! = 6 * 5 * 4 * 3 * 2 * 1
₉P₃ = 504
Hence, the probability = 1/504
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PLS I NEED HELP ASAP!!!!
Answers
Answer:
Step-by-step explanation:
180 - ( 37+67) = 180 - 104
= 76°
If hari buys 20biscuits for Rs 200 and sells it for Rs 100 find the loss
Answers
Answer:
hdvbn
Step-by-step explanation:
nfshvjjnmmnjjmbm
And sells 20 biscuits for 100 (1 biscuit for 5)
The loss is 100
3. Mia has read 27 pages out of an 80 page book. What percent of the pages has she read?
Answers
Answer: She has read 33.75% of the pages.
Explanation: You can divide 27 by 80 to get the answer :)
Help!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Method 1 = 8.75
method 2 = 12.16
Hope this helped gll
Step-by-step explanation:
2 Which of the following could be appropriate values for an equation to be in Standard Form (Ax+By=CP
A=-2,B=3 and C=5
A=2,B=1/2 and C=0
A=1,B=0 and C = 5
O A=1/4,B=3/4 and C=0
Answers
Answer:the third one
Step-by-step explanation: