The value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3 because the sum of the probability is always 1
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x, y) = c(x+2y),
x = 1, 2 and y =1, 2, 3
f(1, 1) = C(1 + 2) = 3C
f(1, 2) = C(1 + 4) = 5C
f(1, 3) = C(1 + 6) = 7C
f(2, 1) = C(2 + 2) = 4C
f(2, 2) = C(2+ 4) = 6C
f(2, 3) = C(2 + 6) = 8C
We know the sum of the all probability is 1
3C+5C+7C+4C+6C+8C=1
33C =1
C = 0.03030
Thus, the value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3 because the sum of the probability is always 1
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Emma has a homework in 8 subjects she is deciding in what order to complete them in, how many different ways are there?
Answer:
40,320 ways
Step-by-step explanation:
By the Fundamental Counting Principle, she can do it in 8! ways:
8! = 8*7*6*5*4*3*2*1 = 40,320
Calvin’s credit card computes finance charges using the daily balance method. his card has a billing cycle of 30 days and an apr of 14.75%. the following table details calvin’s transactions in the month of september. date amount ($) transaction 9/1 716.54 beginning balance 9/7 84.94 purchase 9/12 15.69 purchase 9/20 200.00 payment what will calvin’s starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52
The amount of calvin’s starting balance for the next month will be C. $625.91.
How to calculate the amount?From the information given, the monthly percentage rate will be:
= 14.75/12
= 1.22%
Therefore, the amount of calvin’s starting balance for the next month will be $625.91.
In conclusion, the correct option is C.
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Answer:
Step-by-step explanation:
c
Answer please please
Answer:
b is the answer
Step-by-step explanation:
I took the test
Answer: the answer is b . Which is the second choice ( 24)
Step-by-step explanation: HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .
Please help, will give brainliest!
Answer:
1.99 x 10 ^20 N
Step-by-step explanation:
Just substitute in the values given
F = (6.67x 10^-11) * (5.97x10^24)(7.36 x 10^22) / ( 3.84 x 10^8) ^2
= 1.99 x 10^20 N
A triangular prism is shown. a cylinder is cut out of the center of the prism. the triangular base has side lengths of 14 and 10 units. the heights of both the cylinder and prism are 8 units. the cylinder has a diameter of 5 units. which expression represents the volume, in cubic units, of the shaded region of the composite figure? one-half(14)(10)(8) – π(2.52)(8) one-half(14)(10)(8) π(2.52)(8) one-third (one-half)(10)(8)(14) – π(2.52)(8) one-third (one-half)(10)(8)(14) π(2.52)(8)
The expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).
ExpressionGiven:
Base side length=14 and 10 units
Height=8 units
Diameter=5 units
Hence:
Expression= 1-( half 14)(10)(8) - π(2.52)(8)
Expression=1-(7) (10)(8) - π(2.52)(8)
Expression=1- (560)- 63.33
Expression=-559-63.33
Expression=-622.33
Therefore the expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).
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Answer:
A
Step-by-step explanation:
edge
The height of a plant in centimeters is recorded each day for 14 days. The function y = 1.44x + 1.55 is determined to be a good fit for the data. On day 7, the recorded height was 12.32 centimeters. How close is the predicted height to the actual height of the plant (the residual)? A) 0.63 cm B) 0.69 cm C) 1.38 cm Eliminate D) −0.69 cm
The predicted height is close to the actual height of the plant by 0.69 cm
How to determine the closeness in the heights?The equation of the height function of the plant is given as:
y = 1.44x + 1.55
The height on day 7 is calculated as:
y = 1.44 * 7 + 1.55
Evaluate
y = 11.63
The recorded height is given as 12.32
The residual is calculated as:
Residual = Recorded - Predicted
So, we have:
Residual = 12.32 - 11.63
Evaluate
Residual = 0.69
Hence, the predicted height is close to the actual height of the plant by 0.69 cm
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Is it True or false?
Answer: False
Step-by-step explanation: right triangles need two equal angles and one different.
Answer any of the questions you dont have to do all but it would help a lot <3
Answer:
DIY
Step-by-step explanation:
Although I would like to help you, you would have to do this yourself.
All you need to do is:
1. Use a ruler and measure the distance from the first location to the second location. *make sure to use the inch side.
2. Distance times 170. *Your product will be in mi( unit).
please help me
i really want to know the answer
and the explanation for this problems
Answer:
M = 4.33885225095
Step-by-step explanation:
Area of the square ABFE = 10² = 100
M = 100 - (2P + Q)
Let’s calculate 2P + Q :
The area 2P + Q = area ΔABC + area of sector ACE + area of sector BCF
Note :
ΔABC is an equilateral triangle
m∠CBF = m∠CAE = 30°
area ΔABC = (CG × AB)÷2 = (8.660254037844×10)÷2 = 43.30127018922
CG = √(10^2 - 5^2)=8.660254037844 (Pythagorean theorem)
area of sector BCF = area ΔACE = 100π ÷ 12 = (8.333333333333)π
then
Area 2P + Q = area ΔABC + area sector ACE + area sector BCF
= 43.30127018922+(100÷12)π+(100÷12)π
= 43.30127018922+ (8.333333333333)π + (8.333333333333)π
= 95.66114774905
Conclusion:
M = 100 - (2P + Q) = 100-95.66114774905 = 4.33885225095
HELP MEE :)) PLEASEEE <3
[tex]v = \pi {r}^{2} h[/tex]
[tex]v = 3.14 \times {2}^{2} \times 3[/tex]
[tex]v = 37.68 \: {cm}^{3} [/tex]
Volume of the rectangular prism:[tex]v = lwh[/tex]
[tex]v = 6 \times 5 \times 7[/tex]
[tex]v = 210 \: {cm}^{3} [/tex]
Total volume:[tex]v = 37.68 + 210[/tex]
[tex]v = 247.68 \: {cm}^{3} [/tex]
cylinder:
pi r^2 h
=3.14*2^2*3
=37.68 cm^3
prism:
whl
=6*5*7
=210 cm^3
all together:
=247.68 cm^3
Manny makes the following purchases at the store: pair of jeans for $32.65 3 t-shirts for $14.89 each pair of sneakers for $39.99 the store is having a promotional sale where 10% is taken off of each customer’s total purchase before tax. the sales tax is 8%. if manny paid $114.03 , then he _____ for his purchase. a. paid $5.63 too little b. paid $3.28 too little c. paid the correct amount d. paid $8.45 too much
If manny paid $114.03 for the items purchased , then he paid the correct amount .
What is the total cost?
The first step is to determine the total cost of all the items purchased.
Total cost = $32.65 + (3 x $14.89) + $39.99 = $117.02.
Now, determine the cost after the promotional sale: (100 - 10%) x $117.02 = $105.32
The last step is to determine the total cost after tax: (1.08) x 105.32 = $114.03
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Answer:c
Step-by-step explanation:
trust
find the area of a isosceles triangle with base 2cm and sides 4cm
Answer:
it will help you
Step-by-step explanation:
thank you
I need to know the formula for this graph
Answer:
y=x+5
Step-by-step explanation:
A construction company is building a wall. The company can build 30 cm of the wall per minute. After 40 minutes three forth of the wall is completed. How many meters is the wall?
The total meters in the wall which is build by a construction company at a rate of 30 cm of the wall per minute, is 16 meters.
What is the relation between work and time?The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,
W=1/n
A construction company is building a wall. The company can build 30 cm of the wall per minute. In 40 minutes the total cm of wall build by company is,
n=40/30
n=1200 cm
n=12 m
After 40 minutes, three fourth of the wall is completed, which is equal to the 12 meters. Thus, the total meter of the wall is,
(3/4)x=12
x=(12x4)/3
x=16 m
Thus, the total meters in the wall which is build by a construction company at a rate of 30 cm of the wall per minute, is 16 meters.
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(7 + 1)2 – (11 + 32) ÷ 4. simplify
Answer: 5.25
Step-by-step explanation:
Solve using PEMDAS,
(7 + 1)2 – (11 + 32) ÷ 4
(8)2 - (43) ÷ 4
16 - 10.75 = 5.25
find the slope of the line containing the points (-3,2) and (3,7)
[tex]\text{Given that,}~ (x_1,y_1) =(-3,2)~ \text{and}~ (x_2 ,y _2) = (3,7)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~=\dfrac{7-2}{3-(-3)}\\\\\\~~~~~~~~~~~~=\dfrac{5}{3+3}\\\\\\~~~~~~~~~~~~=\dfrac 56[/tex]
A textbook store sold a combined total of 363 sociology and biology textbooks in a week. The number of sociology textbooks sold was two times the number of biology textbooks sold. How many textbooks of each type were sold?
Biology textbooks: 121
Sociology textbooks: 242
Cos(alpha-beta)cos(alpha beta)=cos^2 alpha-cos^2 beta
The equation cos (α - β) × cos (α + β) ≠ cos² α - cos² β. Then the given equation is incorrect.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The equation is given below.
cos (α - β) × cos (α + β) = cos² α - cos² β
Then show whether the equation is correct or incorrect.
Taking the left-hand side, then we have
[tex]\cos(\alpha-\beta)*\cos(\alpha +\beta) = (\cos \alpha \cos\beta + \sin \alpha \sin \beta ) (\cos \alpha \cos\beta - \sin\alpha \sin\beta )\\\\\cos(\alpha-\beta)*\cos(\alpha +\beta) = \cos ^2 \alpha \cos ^2\beta - \sin ^2 \alpha \sin ^2\beta[/tex]
The left-hand side does not equal to the right-hand side.
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need help!!!!!!!!!!!
The ordered pair is a solution to the system of equations
Verify
[tex]2x+y=-5\\2(-3)+1=-5\\(-6)+1=-5\\-5=-5\\LS=RS[/tex]
[tex]4x+2y=-10\\4(-3)+2(1)=-10\\-12+2=-10\\-10=-10\\LS=RS[/tex]
add the numbers 197,203 and 423 in two ways fast
Answer:
there you go
have a good day
Please help I am a student with ADHD and dyscalculia and all I got left to do for the school year is math Help me with this question if you can
Match the following
1. gallon
2.1 kiloliter
3.1 pint
4.1 liter
5.1 cup
6. 1 quart
A.4 quarts
B.1,000 liters
C. 8 ounces
D.2 cups
E.1,000 milliliters
D.2 pints
Answer:
1. A. 1 gallon = 4 quarts
2. B. 1 kiloliter = 1,000 liters (hint for remembering is that kilo- means thousand)
3. D. 1 pint = 2 cups
4. E. 1 liter = 1,000 milliliters
5. C. 1 cup = 8 oz
6. D. 1 quart = 2 pints
Step-by-step explanation:
Best of luck with the school year, you can do it!
The scale factor of the dimensions of two similar wood floors is 4:3. It costs $153 to refinish the smaller wood floor. At this rate, how much would it cost to refinish the larger wood floor?
With the given scale factor, The cost to refinish the larger wood floor is $204
How to determine the amount for the larger wood?The scale factor is given as:
Scale factor = 4 : 3
This means that:
x : 153 = 4 : 3
Where x represents the cost to refinish the larger wood floor
Express as fraction
x/153 = 4/3
Multiply both sides by 153
x = 204
Hence, the cost to refinish the larger wood floor is $204
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Mai gathers a random sample of 30 students at her school and asks them whether they would be willing to start and end the school day 1 hour later than usual. 27 of the students agree that this would be a good idea. Mai goes to the principal and says, "Exactly 90% of all of the students in the school think it’s a good idea to start and end the school day an hour later than usual!"
What is wrong with this statement?
The statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.
Why do we do sampling?We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).
So, in this case, Mai did sampling(sample of 30 students was selected) instead of working on entire population (all students of her school).
In her sample, she found that 27 out of 30 students think its a good idea to start and end the school day an hour later than usual.
So, from sample, 90% of those 30 students think it’s a good idea to start and end the school day an hour later than usual.
And yes, we can use this data to approximate or predict about the percentage of students who think it’s a good idea to start and end the school day an hour later than usual.
But we cannot surely say that it will be exactly 90%.
The only statement we can give about the population is:
Almost (or such unsure wordings) 90% of all of the students in the school think it’s a good idea to start and end the school day an hour later than usual!
Thus, the statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.
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You start at (-4, -5). You move up 7 units. Where do you end?
Answer:
(-4, 2)
Step-by-step explanation:
the scores made by a group of eleventh grade students on the mathematical portion of the SAT are given.
Using the percentage concept, it is found that 33.33% of the students scored 650 or higher in the mathematical portion of the SAT.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
Researching the problem on the internet, it is found that of the 15 students, 5 scored 650 or higher in the mathematical portion of the SAT, hence the percentage is given by:
[tex]P = \frac{5}{15} \times 100\% = 33.33\%[/tex]
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I am not sure how it is 195 can someone please explain..
Answer:
[tex] \sqrt{ {22}^{2} - {17}^{2} } = \sqrt{484 - 289} = \sqrt{195} [/tex]
The side lengths do not form a Pythagorean triple.
NEED ANSWER ASAP NEED HELP
Answer:
C
Step-by-step explanation:
number 2 is y/x because its the reciprical of sine of angle YZ so the answer is C.
29 POINTS PLEASE I NEED THIS ANSWER
A laboratory received 400 g of radioactive radon and 16 days later 25 g of the radioactive remained. What is the halflife of the radon? [Recall: half-life is the length of time it takes a substance to decay to half of its mass]
Answer:
death they die because of radioactivity
Step-by-step explanation:
Answer:death they die because of radioactivity
Step-by-step explanation:
1. Determine whether 11, 60, and 61 can be the measures of the sides of a triangle. If so,
classily the triangle as acute, right, or obtuse. Justify your answer.
Answer:
C
Step-by-step explanation:
irst check if the triangle is right.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = and ( )² = 12
2² + ( )² = 4 + 8 = 12
Thus the triangle is right → C
How many terms are in the following expression
4xy + 3 - 4x+
y
30
There are 4 terms
Yw :D