The midpoint and length of the points J(4,3) and K(2,-3) is calculated as (1,0) and 40.
The midpoint and length of the points L(-4,5) and N(5,-3) is calculated as (-12,1) and 145.
Given : The endpoints J(4,3) and K(2,-3) and L(-4,5) and N(5,-3)
We need to find the midpoint and length of these endpoints.
The formula for midpoint is x1+x22, y1+y22
From the first endpoints, x1=4 , y1=3 , x2=2 , y2=-3
4+22, 3-32 => (22,02) => (1,0)
So, the midpoint for the endpoints is (1,0)
The formula to find the length is (x2-x1)2+(y2-y1)2
From the first endpoints , the length becomes
(2-4)2+((-3)-3)2=> (-2)2+(-6)2 => 4+36 => 40
The formula for midpoint is x1+x22, y1+y22
From the first endpoints, x1=-4 , y1=5 , x2=5 , y2=-3
-4+52, 5-32 => (-12,22) => (-12,1)
So, the midpoint for the endpoints is (-12,1)
The formula to find the length is (x2-x1)2+(y2-y1)2
From the first endpoints , the length becomes
(5+4)2+((-3)-5)2=> (9)2+(-8)2 => 81+64 => 145
Hence, the midpoint and the length from the endpoints is calculated and determined.
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Please doses anyone kniw this?!
Ravindra' monthly income i rupee 90000. After pending on variou expenditure, he manage to ave rupee 40000 per month. What percentage of hi income doe he ave?
The percentage of his income he saved is 44.4%.
Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.
In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".
If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:
percentage = (40,000/90,000) x 100% = 44.4%
Hence, she saves 44.4% of his income per month.
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The diagram shows a rhombus inside a regular hexagon.
Work out the size of angle x.
X
Answer: 60 degrees
Step-by-step explanation:
Make the hexagon into a bunch of equilateral triangles, and split the rhombus into two equilateral triangles.
Answer:
60°----------------------------
Sides of the given rhombus are parallel to sides of the hexagon.
If you extend sides of the rhombus they will make diagonals connecting opposite vertices..
These diagonals are angle bisectors and hence the angle x if half the interior angle of the hexagon:
x = 120°/2 = 60°Evaluate –3 2nd power + (2 – 6)(10).
Answer:
-49
Step-by-step explanation:
-3^2=-9
(2-6)*10=-40
(-9) + (-40) = -49
Y’all please help I have so many missing assignments and it would help if you even did one question for my homework
Answer:
Step-by-step explanation:
can you help me. What is 2x-14
Answer: 2(x-7)
Step-by-step explanation: 2x−14
2x−14
=2(x−7)
Answer:
-8
Step-by-step explanation:
so first start off by doing 2x(-14)
this will get us to our answer -8.
It's pretty easy, try using a calculator to help if needed.
☺️
If u=⟨3,0,5⟩ and v=⟨−3,4,−5⟩, then the component of u along v is
The component of u along v is -17√2 / 5. To find the component of u along v, we can use the formula Component of u along v = (u · v) / |v| where u · v represents the dot product of u and v, and |v| represents the magnitude of v.
Given u = ⟨3, 0, 5⟩ and v = ⟨-3, 4, -5⟩, we can calculate their dot product:
u · v = (3 * -3) + (0 * 4) + (5 * -5) = -9 - 25 = -34
Next, we need to find the magnitude of v:
|v| = √((-3)^2 + 4^2 + (-5)^2) = √(9 + 16 + 25) = √50 = 5√2
Now, we can substitute these values into the formula to find the component of u along v:
Component of u along v = (-34) / (5√2)
To simplify, we can rationalize the denominator by multiplying both the numerator and denominator by √2:
Component of u along v = (-34√2) / (5√2 * √2)
= (-34√2) / (5 * 2)
= -17√2 / 5
Therefore, the component of u along v is -17√2 / 5.
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ILL BRAINLIEST YOU AND GIVE YOU 10 extra points
Answer:
it's b
Step-by-step explanation:
it satifies Pythagoras theorem.
29² = 20²+21²
Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given information below and the law of cosines, what is the measure of angle C? Round your answer to the nearest whole number, if necessary.
A=29
C=24
B=101
The measure of angle C is obtained as 35 degrees
What is the angle C?Give that;
b^2 = a^2 + c^2 - 2ac Cos B
a = 29
c = 24
B = 101 degrees
b^2 = (29)^2 + (24)^2 - [2 * 29 * 24 cos 101]
b^2 = 841 + 576 + 266
b = 41 cm
Now;
b/sinB = c/sinC
bsinC = csinB
sinC = csinB/b
sinC = 24 * sin 101/41
C = sin-1(24 * sin 101/41)
C = 35 degrees
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an espresso stand has a single server. customers arrive to the stand at an average rate of 28 per hour. the average service rate is 35 customers per hour. the average time in minutes a customer spends waiting in line for service is group of answer choices 6.86 minutes 8.58 minutes 0.114 minutes none of the choices listed 0.143 minutes
The average time in minutes a customer spends waiting in line for service is 5.49 minutes, so the correct answer is D. none of the choices listed.
We can use Little's Law to find the average time a customer spends waiting in line for service:
Average time in line = (Average number of customers in line) / (Service rate)
To find the average number of customers in line, we can use the formula for the M/M/1 queuing system:
Lq = (ρ²) / (1 - ρ)
where
Lq is the average number of customers in the queue
ρ is the utilization of the server, which is equal to the arrival rate divided by the service rate
So, ρ = (Arrival rate) / (Service rate) = 28/35 = 0.8
And, Lq = (0.8^2) / (1 - 0.8) = 0.64 / 0.2 = 3.2
Now we can use Little's Law:
Average time in line = (Average number of customers in line) / (Service rate) = 3.2 / 35
Converting hours to minutes, we get:
Average time in line = (3.2 / 35) * 60 = 5.49 minutes
So the answer is D. none of the choices listed.
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a study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 20.8 pounds and a standard deviation of 4.2 pounds. step 2 of 2 : if a sampling distribution is created using samples of the amounts of weight lost by 89 people on this diet, what would be the standard deviation of the sampling distribution of sample means? round to two decimal places, if necessary.
The standard deviation of the sampling distribution of the sample means is 20.8
What is Sample mean?
A sample is just a small part of a whole. For example, if you work for a polling company and want to know how much people pay for food a year, you aren’t going to want to poll over 300 million people. Instead, you take a fraction of that 300 million (perhaps a thousand people); that fraction is called a sample. The mean is another word for “average.” So in this example, the sample mean would be the average amount those thousand people pay for food a year.
The sample mean is useful because it allows you to estimate what the whole population is doing, without surveying everyone. Let’s say your sample mean for the food example was $2400 per year. The odds are, you would get a very similar figure if you surveyed all 300 million people. So the sample mean is a way of saving a lot of time and money.
Given that,
mean = \(\mu\) = 20.8
standard deviation = σ = 4.2
n=89
So, The sampling distribution of the sample means is:
\(\mu\bar x\) = \(\mu\)=20.8
Hence,
The standard deviation of the sampling distribution of the sample means is 20.8
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Find the following areas under the normal curve
A. -1.43
B. 0.58
C. -1.55
D. z> 1.34
2 find the standardized score (z-score) closest to the following percentiles
A. 35th percentile
B. First Quartile QI
C. The observation with 12% of the data falling above it
3. Given a normal distribution of heights of 5 year olds (in inches) with a mean of 36 and a standard deviation of 10, find the following areas under the curve:
A. x< 31 inches
B. x> 49 inches
C. 40
D. 70% of 5 year olds are below what height?
Answer:
1. A. -1.43 corresponds to an area of approximately 0.0637 under the normal curve.
B. 0.58 corresponds to an area of approximately 0.7295 under the normal curve.
C. -1.55 corresponds to an area of approximately 0.0633 under the normal curve.
D. For z>1.34, the area under the normal curve is approximately 0.0916.
--------
2. A. The 35th percentile corresponds to a z-score of approximately -0.48
B. The first quartile (Q1) corresponds to a z-score of approximately -0.67
C. For 12% of the data to fall above it, the z-score would be approximately 1.28
----------
3. A. To find the area under the curve for x< 31 inches, we need to convert 31 inches to a z-score using the formula: z = (x - mean) / standard deviation. For this case, z = (31 - 36) / 10 = -0.6, the area under the curve for this is 0.2744
B. To find the area under the curve for x> 49 inches, we need to convert 49 inches to a z-score, the z-score is (49 - 36) / 10 = 1.3, the area under the curve for this is 0.0968
C. The area under the curve for x = 40 inches is 0.3520
D. To find the height at which 70% of 5 year olds are below it, we need to use the inverse standard normal calculator, which gives us a z-score of 0.84162, we can then use this z-score to find the corresponding x value by using the formula x = mean + (z-score * standard deviation) which in this case would be 36 + (0.84162*10) = 42.4 inches
2.) Solve:
-24 - 2m = -4m - 8(m + 8)
Answer:
m= - 4
Step-by-step explanation:
Answer:
m= -4
Step-by-step explanation:
HELP ASAP!!!!! HELP FAST!!!!!
Answer:
no they are not because 11, 14 is the only one that has a vertices
Step-by-step explanation:
If 80 is divided by the sum of 4 and a certain number , the result is 16 .find the number
Answer:
x = 60
Step-by-step explanation:
80/ 4+x = 16
(4 + x) * 80/ 4+x = 16 = 16 (4 + x)
80 = 16 + 4 + x
80 = 20 + x
60 = x or x = 60
Let X and Y be two independent random variables. Show that E[XY ] = E[X]E[Y ] provided that the expected values E[X] and E[Y ] exist. (You may assume that X and Y are either both discrete or both continuous; however, the results holds more general.)
The expected value of the product of two independent random variables X and Y is equal to the product of their individual expected values, given that the expected values of X and Y exist.
Let X and Y be two independent random variables. Then, the expected value of the product XY is given by:
E[XY] = ∫∫ xy fX(x) fY(y) dx dy
where fX(x) and fY(y) are the probability density functions of X and Y, respectively. Since X and Y are independent, their joint probability density function is given by:
fXY(x,y) = fX(x) fY(y)
Thus, the expected value of XY can be written as:
E[XY] = ∫∫ xy fX(x) fY(y) dx dy = ∫∫ xy fXY(x,y) dx dy
Now, we can use the linearity of expected value to split up the integral:
E[XY] = ∫∫ xy fXY(x,y) dx dy = ∫∫ x fX(x) y fY(y) dx dy
= (∫ x fX(x) dx) (∫ y fY(y) dy) = E[X] E[Y]
Therefore, we have shown that E[XY] = E[X] E[Y], given that X and Y are independent and that the expected values of X and Y exist.
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-2x + 2 > 3x - 8
x>2
X<-9
X<2
X > -9
Answer:
the answer is x<2
−2x+2>3x−8
Step 1: Subtract 3x from both sides.
−2x+2−3x>3x−8−3x
−5x+2>−8
Step 2: Subtract 2 from both sides.
−5x+2−2>−8−2
−5x>−10
Step 3: Divide both sides by -5.
−5x
−5
>
−10
−5
x<2
2^-4 simplified form
Answer:
1/16 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
Step-by-step explanation:
What adds to +10 and multiplys to 290
Steve drives an electric car. He can drive 425 kilometres before he needs to stop and re-charge his car. It takes 10 minutes to charge 50 kilometres. How long does Steve have to wait for his car to fully charge?
Answer:
Step-by-step explanation:
The question is asking how many times does 50 go into 425?
or 450/50 = ?
my calculator says it's 9 . What does your calculator say?
since we now know it's 9 times, we can just multiply 9 * 10 minutes
by observation of 9*10, I get the answer, what answer do you get?
Find h(x, y) = g(f(x, y)). h(x, y) = g(t) = t² + √t, f(x, y) = 3x + 7y - 21
The function h(x, y) can be written as h(x, y) = (3x + 7y - 21)2 + (3x + 7y - 21). Another way to write it is as h(x, y) = h(x, y). The supplied functions f(x, y) = 3x + 7y - 21 and g(t) = t2 + t are combined into a single expression using this form.
In order to determine h(x, y), we need to insert the expression for f(x, y) into g(t). This will allow us to find h(x, y). Given that f(x, y) equals 3x + 7y - 21, we need to change g(t) to read as t = 3x + 7y - 21. Therefore, h(x, y) = g(f(x, y)) = g(3x + 7y - 21).
Now, by entering t = 3x + 7y - 21 into g(t), we get h(x, y) = (3x + 7y - 21)2 + (3x + 7y - 21), which is the answer we were looking for. This form illustrates the composition of the two functions f(x, y) and g(t) in order to derive h(x, y).
In the phrase that was arrived at as a result of this process, the term 3x + 7y - 21 is represented by its square, which is written as (3x + 7y - 21)2, while its square root is written as (3x + 7y - 21). When these two expressions are combined together, the result is h(x, y), which satisfies the equation h(x, y) = g(f(x, y)) = (3x + 7y - 21)2 + (3x + 7y - 21), which was given to us.
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X
Dogs
0
16
12
10
10
Name
Problem # 1 (worth 50 points)
Carlos and Clarita are making a lot of some of the issues they need to consider as part of their business plan to care for
cats and dogs while their owners are on vacation.
Cats
40
0
12
14
10
Space Used
A
Date
Space: Cat pens will require 6/r of space, while dog runs require 24/r. Carlos and Clarita have up to 360 f
available in the storage shed for pens and runs, while still leaving enough room to move around the cages.
Start-up costs: Carlos and Clarta plan to invest much of the $1280 they earned from their last business venture
to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run
0-24 n 40-6n
Complete the table below based on the scenario. Determine whether the combinations of cats and dogs fit within the
conditions of the constraints listed above.
-
ZOOM +
. Pampering time constraint: (25 points)
2 TS
Cost
R0-580 40-$32-5
Period
Works?
Yes if Used
Space 5360¹
and
Costs$1280
Points
10
10
10
10
10
Problem #2 (worth 50 points)
Carlos and Clarita have been worried about space and start-up costs for their pet sitting business, but they
realize they also have a limit on the amount of time they have for taking care of the animals they board. To
keep things fair, they have agreed on the following time constraints.
. Feeding time: Carlos and Clarita estimate that cats will require 6 minutes twice a day-moming and
evening to feed and clean their litter boxes, for a total of 12 minutes per day for each cat Dogs will
require 10 minutes twice a day to feed and walk, for a total of 20 minutes per day for each dog. Carlos
can spend up to 8 hours each day for the moming and evening feedings but needs the middle of the
day off for baseball practice and games.
Pampering time: The twins plan to spend 16 minutes each day brushing and petting each cat, and
20 minutes each day bathing or playing with each dog. Clarita needs time off in the morning for the
swim team and evening for her art class, but she can spend up to 8 hours during the middle of the
day pampering and playing with the pets.
Write each of these additional time constraints symbolically
. Feeding time constraint: (25 points)
a
Answer:
problem 2
Step-by-step explanation:
The feeding time constraint for cats can be written symbolically as:
12 minutes/day * number of cats <= 8 hours/day
The feeding time constraint for dogs can be written symbolically as:
20 minutes/day * number of dogs <= 8 hours/day
The pampering time constraint for cats can be written symbolically as:
16 minutes/day * number of cats <= 8 hours/day
The pampering time constraint for dogs can be written symbolically as:
20 minutes/day * number of dogs <= 8 hours/day
in the rescorla-wagner model, the symbol _______ refers to the limit of the amount of associative strength or learning that may occur.
In the rescorla-wagner model, the symbol "λ" (lambda) refers to the limit of the amount of associative strength or learning that may occur.
What is Rescorla Wagner model?
Rescorla-Wagner model is a classical conditioning model which tries to establish a the relationship or association between the CONDITIONED STIMULI (CS) AND THE UNCONDITIONED STIMULI.
According to the Rescorla-Wagner model, proves that for learning to occur the subject must be surprised which means the subject must not expect it(AN UNEXPECTED US FOLLOWS A CS).
In the Rescorla-Wagner model, the symbol "V" (or sometimes referred to as "V_max") indicates the limit or maximum value of associative strength or learning that can occur between a conditioned stimulus (CS) and an unconditioned stimulus (US). This symbol represents the maximum strength or magnitude of association that can be formed during classical conditioning.
According to the Rescorla-Wagner model, learning occurs when there is a discrepancy or prediction error between expected and actual outcomes. As learning progresses, associative strength increases but eventually reaches a point of saturation or maximum value (V). This maximum value represents the point at which the association has reached its peak and further learning becomes unlikely or minimal.
Briefly, the “V” in the Rescorla-Wagner model represents an upper limit or ceiling on the amount of associative strength or learning that can be achieved between the CS and the US.
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Is it possible to draw a triangle with angles 150, 20 and 50
Answer:
no
Step-by-step explanation:
because the sum of the angles of a triangle should = 180, and adding these numbers together give a greater result of 220 degrees
Help pls due today
I’m stressing out
Answer:
If the relationship is proportional, we can use the proportionality constant, k, to relate the cost and number of climbs. The equation would be:
t = kc
We can find the value of k by using the given information that 5 climbs cost $52.50:
52.50 = k(5)
Solving for k, we get:
k = 10.50
Therefore, the equation that represents the total cost, t, of c climbs is:
t = 10.50c
19. Describe the end behavior. (open ended question)
The end behavior of the function in this problem is given as follows:
As x -> ∞, f(x) -> ∞.
What is the end behavior of a function?The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.
Both to the left and to the right of the graph, the function increases, hence the end behavior of the function is given as follows:
As x -> ∞, f(x) -> ∞.
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Speed and travel time are inversely related, the faster you go, the less time it takes
to get to your destination. If it takes 20 minutes to get to school when you go 30 mph,
how long will it take to get to school if you travel 45 mph? (hint: speed=k/time)
Answer:
Step-by-step explanation:
speed = distance/time
however speed is a compound measure
distance to school = speed x time
= 30mph x 1/3hr
= 10m
time = 10m / 45mph
= 13.3 (recurring)
= 13 mins
What is the perimeter of this rectangle?
21 units
3 units
12 units
None of the above.
Answer:
12
Step-by-step explanation:
12 units....
perimeter is the total surface area of a certain object or shape... counting only the surfaced side of each square tat makes up this rectangle.... its perimeter is 12 units
A coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00am to 7:30am. Suppose that the mean number of customers during this time window is 200. What is the probability that more than 210 people will pass in front of his store
The probability that more than 210 people will pass in front of his store is 0.2272.
In the question, we are given that a coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00 A.M to 7:30 A.M.
We are asked to find the probability that more than 210 people will pass in front of his store if the mean number of customers during this time is 210.
This experiment follows a Poisson Distribution with a mean (λ) = 200, and the random variable X = 210.
To find the probability that more than 210 people will pass in front of his store, we will find P(X > 200).
P(X > 200) = 1 - P(X ≤ 210).
Now, P(X ≤ 210) can be calculated using the function poissoncdf(200,210) on the calculator.
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
The value of poissoncdf(200,210) = 0.77271.
Thus, the value of P(X > 210) = 1 - 0.77271 = 0.22729.
Thus, the probability that more than 210 people will pass in front of his store is 0.2272.
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Find the odds agasinst getting a number less than 4
Answer:
3 out of 4 I think
Step-by-step explanation:
because the total amount is 4 so there's a 3/4 chance youll get less than 4