The tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
From the right angle triangle,
The ratio of the man height and his shadow is equal to the tree height(h) and its shadow.
6/9 = h/30
h = 20 feet
Thus, the tree is 20 feet tall if the 6-foot tall man has a 9-foot shadow at the same time a tree standing next to him as a 30-foot shadow.
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Two claimants place calls simultaneously to an insurer's claims call center. The times X and Y, in minutes, that elapse before the respective claimants get to speak with call center representatives are independently and identically distributed. The moment generating function of each random variable is
M(t)= (1/11.5t)^2 , t < 2/3
Required:
Calculate the standard deviation of X + Y.
The moment generating function of each random variable is;
M(t) = (1/(1 - 1.5t))^(2), t < 2/3
Answer:
SD[X + Y] = 3
Step-by-step explanation:
For ease of differentiation, let's rewrite the M(t) function as;
M(t) = (1 - (3/2)t)^(-2)
Let's find the first derivative of the function;
M'(t) = 3(1 - (3/2)t)^(-3)
To get E[X], we will put 0 for t to get;
E[X] = 3(1 - (3/2)0)^(-3)
E[X] = 3
Now,let's find the second derivative of M(t)
M"(t) = (27/2)(1 - (3/2)t)^(-4)
At,t = 0, we will get E[X²]
Thus;
E[X²] = 27/2
Now, Var[X] = E[X²] - (E[X])²
Var[X] = (27/2) - 3²
Var[X] = 9/2
We are told that the times X and Y are independently and identically distributed. Thus, the sum of their variances is equal to the variance of their sum. This is expressed as;
Var[X + Y] = 9/2 + 9/2
Var[X + Y] = 9
Now,we know that square root of variance is standard deviation. Thus;
SD[X + Y] = √9
SD[X + Y] = 3
Find the volume of the cylinder. Round your answer to the nearest tenth
3 m
5 m
Answer:141.4
Step-by-step explanation:
The number of oil tankers arriving at a refinery each day follows a Poisson(3)distribution. Current port facilities can service only four tankers a day so thatif more than four tankers arrive in a day, the additional tankers must be sentto another port. LetXdenote the number of tankersarrivingat the port andletYbe the random variable corresponding to the number of tankersserviceddaily.(a) What is the probability that no tankers arrive at the port? (2 pts)(b) What is the PMF ofY? (4 pts)
Use the ray tool to graph f(x)=−|x+2|
First plot the endpoint of the ray, then plot any point on the ray.
Answer: Graphed points I used, (-2,0), (0,-2), and (-3,-1)
Step-by-step explanation:
The graph of given function is attached below.
Absolute value function:The given function is,
[tex]f(x)=-|x+2|[/tex]
We have to draw the graph of above function.
When [tex]x=-2[/tex] , [tex]f(-2)=0[/tex]
When [tex]x=-4[/tex] , [tex]f(-4)=-|-4+2|=-2[/tex]
When [tex]x=0[/tex], [tex]f(0)=-2[/tex]
Thus, We have points [tex](-2,0),(-4,-2)[/tex] and [tex](0,-2)[/tex]
The graph of function attached below.
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Pleaseeeee helppppppp
Answer:
TIK TOK
Step-by-step explanation:
ON THE CLOCK
In ΔIJK, k = 7.6 cm, j = 7.5 cm and ∠J=116°. Find all possible values of ∠K, to the nearest 10th of a degree.
Answer:
No Possible Triangles
Step-by-step explanation:
Deltamath
help me out
........1
Answer: -13
Step-by-step explanation:
2-(3^2)+4-3-7 = -13
Answer:
17
Step-by-step explanation:
2x²+4x-7
-6²+(-12-7)
36+(-19)
17
when 55 is added to a certain number and the sum is divided by 3 , the result is 4 times the original number what is the original number
Answer:
4.99
Step-by-step explanation:
i cant remember how i got 4.99 but can show u how to check
= 55 + 4.99 = 59.99
59.99 divide 3 = 19.99666667
= 19.99666667 divide 4 (working in reverse as it says 4 times the orig no.)
= 4.99 (was rounded)
In ΔABC, the measure of ∠C=90°, the measure of ∠B=64°, and BC= 6.6 Find the length of CA the nearest tenth of a foot
Answer:
CA = 13.5
Step-by-step explanation:
tan 64 = CA/6.6
2.05 = CA/6.6
CA = 13.5
What is the area of the top AND bottom faces?
Answer:
Top : 24cm²
Bottom : 24cm²
Step-by-step explanation:
Surface area : Base × Height
Top :
3 × 8 = 24
Bottom :
3 × 8 = 24
Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.
Answer:
C
Step-by-step explanation:
Which equation is another way to show
5/4?
A. 1/5x1/4=
B. 4x1/5=
C. 4 divided by 5=
D. 5 divided by 4=
E. 5+1/4=
Answer:
D
Step-by-step explanation:
5 divided by 4 is just 5/4 written out
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
53 and 17
Step-by-step explanation:
If you add 53 and 17, you get 70.
If you subtract 17 from 53, you get 36. Hope this helps!
If n+1 integers are chosen from the set
1,2,3,…,2n
,where n is a positive integer, must at least one of them be even? Why?
Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.Find the measure of each angle indicated
Answer:
45°
Step-by-step explanation:
here's your solution
=> we know that sum of both angle is equal
180°
=> because both angle are co-interior angle
=> let the unknown angle be x
=> so, X + 135° = 180°
=> x= 180 - 135
=> 45°
hope it helps
han want to buy a $30 ticket to a game, but the pre-oder tickets are sold out, he knowns there will be more tickets sold the day of the game, with a markup of 200% . how much should han expect to pay for the tickets if he buys it the dat of the game?
Answer: [tex]\$90[/tex]
Step-by-step explanation:
Given
The price of the ticket prior to match day is [tex]\$30[/tex]
It is stated that there is [tex]200\%[/tex] the markup on match day i.e.
The selling price of the ticket is
[tex]\Rightarrow S.P.=30+30\times 200\%\\\Rightarrow S.P.=30+30\times 2=30+60\\\Rightarrow S.P.=\$90[/tex]
So, han must expect to pay [tex]\$90[/tex] on that day
a tank holds 49 litres of oil. if 7 litres leaked what percentage of oul has leaked
The percentage of oil that has leaked from the tank is 14.29%.
Given the following data:
Tank capacity = 49 litres.Oil leakage = 7 litres.To determine the percentage of oil that has leaked from the tank:
How to calculate percentage.Mathematically, the percentage for the amount of oil leakage in this tank is given by this formula:
[tex]Percentage = \frac{Oil\;leakage}{Tank\;capacity} \times 100\\\\[/tex]
Substituting the given parameters into the formula, we have;
[tex]Percentage = \frac{7}{49} \times 100\\\\Percentage = 0.1429 \times 100[/tex]
Percentage = 14.29%.
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Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?
Which expresses shows another way to write 36+16?
4(9 + 4), because :
4 * 9 + 4 * 4 = 36 + 16
a. What is the difference in height between 30 m up a cliff and 87 m up a cliff? What is the distance between these positions?
b. What is the difference in height between an albatross flying at 100 m above the surface of the ocean and a shark swimming 30 m below the surface? What is the distance between them if the shark is right below the albatross?
Answer:
A. 57m B. 130m
Step-by-step explanation:
For problem A:
87m up a cliff - 30m up a cliff = 57m up a cliff
These are all positive values
For problem B:
100m above is talking about a positive value, making this a positive number
30m below is talking about a negative value, making this number -30
0 meters represents the surface
As you can see, this is forming a number line as of which
below the surface------------------------0m-------------------------above the surface
by substitution,
-30-----------------------------------------------0-------------------------------100
therefore, 100 - -30 = 130 meters
During the fall you charge $10 to go to a house and rake the leaves and an additional eight dollars for every hour that you rake the yard if you earned $42 how many hours did you spend raking the leaves
Answer:
4
Step-by-step explanation:
set up an equation:
let h be the number of hours you spent raking.
then, the cost would be 10 + 8 times the number of hours.
In equation form:
[tex]10 + 8h = 42[/tex]
solve:
[tex]10 + 8h = 42\\8h = 32\\h = 4[/tex]
So you worked for 4 hours
the parallelogram height is 1 and 1/2 times the base length and the base length is 6
5.) Mother went to the supermarket. She bought 1.8 kg of chicken at Php120.50 a kilo
Find the cost of the chicken.
Answer:
1.8×120.50, and u shd get the ans
For this cylinder the radius = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?Use 3.14 what is this answer
Answer:
896.784
Step-by-step explanation:
Comment if you want the explanation
*NEED HELP QUICKLY*
my son is doing a math assignment and he needs this done within the hour. i tried to help with it but math isn’t my strong suit.
Answer: undefined
Step-by-step explanation:
I think im not sure tho
Nina took an exam. When her results came, she had 40% correct and 68% incorrect. Find the percent to correct answers to incorrect answers.
Answer: She had 27.2% correct.
Step-by-step explanation: To find the percent, we can divide the part and whole then multiply the quotient by 100. After that we'll need to convert the percent to a decimal. In mathematical terms, the formula will be,
[tex]\frac{part}{whole}=quotient*100[/tex]
40% will be the part and 68% will be the whole.
Step 1.
Convert 40 into a decimal by dividing it by 100.
40 ÷ 100 = 0.4
Step 2.
Multiply 0.4 by 68.
0.4 × 68 = 27.2
Hence, she had 27.2% correct.
C(x)=4x; R(x) = 6X-.001x²
Marginal cost?
Answer:
the answer is to commit uninstall
Step-by-step explanation:
gg wp
Consider the number line.
+
+
-1
0
1
What is the value of x on the number line?
А
-1.5
B
-0.5
с
0.5
D
1.5
a
-1.5
15, 16, 21 determine wether the triangle is acute
Answer:
no they don't because you could not use those numbers
ce este un numar rational?
Answer:
ratio
Step-by-step explanation: