cant understand your language can you translate in English
select the reason why these triangles are similar if they are not select not similar
Answer:
not similar
Step-by-step explanation:
Answer:
C. SSSStep-by-step explanation:
The triangles are similar by SSS with a scale factor of 1/4
__________________
Prove that the mean and variance of the univariate normal p(x)= 2π
σ
1
exp(− 2σ 2
(x−μ) 2
) are μ and σ 2
, respectively.
The mean of the univariate normal distribution with PDF p(x) = (1/√(2πσ^2)) * exp(-(x-μ)^2 / (2σ^2)) is μ, and the variance is σ^2.
To prove that the mean and variance of the univariate normal distribution with probability density function (PDF) p(x) = (1/√(2πσ^2)) * exp(-(x-μ)^2 / (2σ^2)) are μ and σ^2, respectively, we need to calculate the mean and variance of this distribution.
Mean (μ):
The mean of a random variable X is given by the expected value E[X]. To find the mean of the normal distribution, we integrate x times the PDF p(x) over its entire range and simplify the expression.
E[X] = ∫x * p(x) dx
We can simplify the expression by substituting the given PDF:
E[X] = ∫x * (1/√(2πσ^2)) * exp(-(x-μ)^2 / (2σ^2)) dx
To evaluate this integral, we can use techniques like completing the square and standard normal distribution properties. However, the integral of the normal distribution is a well-known result, and it can be shown that the integral of p(x) over its entire range is 1.
Therefore, the mean of the normal distribution is:
E[X] = ∫x * p(x) dx = ∫x * p(x) dx = μ
Hence, the mean of the normal distribution is μ.
Variance (σ^2):
The variance of a random variable X is given by Var(X) = E[(X - E[X])^2]. Let's calculate the variance of the normal distribution using the given PDF.
Var(X) = E[(X - E[X])^2]
= E[(X - μ)^2]
= ∫(x - μ)^2 * p(x) dx
Substituting the PDF into the equation:
Var(X) = ∫(x - μ)^2 * (1/√(2πσ^2)) * exp(-(x-μ)^2 / (2σ^2)) dx
To evaluate this integral, we can use properties of the normal distribution. It can be shown that the integral of (x - μ)^2 * p(x) over its entire range is σ^2.
Therefore, the variance of the normal distribution is:
Var(X) = ∫(x - μ)^2 * p(x) dx = ∫(x - μ)^2 * p(x) dx = σ^2
Hence, the variance of the normal distribution is σ^2.
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IM IN NEED OF HELP .!!Antonio is at Best Buy and all TV's are 30% off. He finds a 75" OLED that he
wants, the price is $1500. What is the discount amount and how much did he
pay for the TV? Write and equation
Answer:
$450. The amount Antonio bought the tv for was $450.
Step-by-step explanation:
If all the tv's are 30%, multiple 30 by the price of the tv he wants, giving you 45000. Then, divide by 100 because a percent is out of a hundred, giving you $450
Formula:
(30x1500)/100
help me I will give brainiest
Answer:
its many solutions
Step-by-step explanation:
21/3,2.3,23.5%,25/9 from greatest to least
Answer:
21/3, 25/9, 2.3, 23.5%
Step-by-step explanation:
21/3 is 7.
2.3
23.5% is .235
25/9 is 2.7777...
please help me with part two
Answer: 17
Step-by-step explanation:)
If vertical angles are congruent, then two lines cut by a transversal are parallel.
a. True
b. False
The answer is True. If two vertical angles are congruent, then two lines cut by a transversal will be parallel.
Vertical angles are angles that are opposite each other and share the same vertex. They are congruent angles, meaning that they have the same measure. When two angles are congruent, the sides of the angles are parallel. This means that the two lines cut by a transversal will also be parallel.
The formula for this is that if two angles are congruent, then the lines cut by a transversal are parallel. This is also known as the Angle-Angle-Angle (AAA) Postulate. This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. This means that the lines cut by a transversal are parallel.
In other words, if two angles of a triangle are congruent, then the two sides of the triangle that make those angles are parallel. This is because the two angles are congruent, meaning that they have the same measure. Therefore, if two vertical angles are congruent, then two lines cut by a transversal will be parallel.
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What is -3/4x-1/3+7/8x-1/2
written in simplest form?
Answer:
See below.
Step-by-step explanation:
-3/4x-1/3+7/8x-1/2
Reorder.
-3/4x+7/8x-1/3-1/2
Convert needed fractions.
-3*2=-6
4*2=8
-6/8x
-1*2=-2
3*6=6
-2/6
-1*3=-3
2*3=6
-3/6
-6/8x+7/8x-2/6-3/6
Simplify.
1/8x-5/6
-hope it helps
help i will give brainlist.
Answer:
3m^4
Step-by-step explanation:
the third one
Answer:
The third option
Step-by-step explanation:
Exponents are the little numbers up and to the right. None of the other options have a little number (exponent) of 4
a small post office has only 4-cent stamps, 6-cent stamps, and 10-cent stamps. find a recurrence relation for the number of ways to form postage of n cents with these stamps if the order that the stamps are used mat- ters. what are the initial conditions for this recurrence relation?
The recurrence relation for the number of ways to form postage of n cents with 4-cent, 6-cent, and 10-cent stamps, with order mattering, is P(n) = P(n-4) + P(n-6) + P(n-10), with initial conditions P(0) = 1 and P(n) = 0 for n < 0.
To form postage of n cents, we can use either a 4-cent stamp, a 6-cent stamp, or a 10-cent stamp.
Therefore, the number of ways to form postage of n cents can be calculated by considering the number of ways to form postage of (n-4) cents, (n-6) cents, and (n-10) cents.
Let P(n) denote the number of ways to form postage of n cents with these stamps.
Then we have:
P(n) = P(n-4) + P(n-6) + P(n-10)
This is a recurrence relation for P(n).
The initial conditions for this recurrence relation are:
P(0) = 1 (There is one way to form postage of 0 cents, by using no stamps.)
P(n) = 0 for n < 0 (There are no ways to form negative postage.)
We can also find P(4), P(6), and P(10) directly:
P(4) = 1 (We can use one 4-cent stamp.)
P(6) = 2 (We can use one 6-cent stamp, or two 4-cent stamps.)
P(10) = 4 (We can use one 10-cent stamp, or one 6-cent stamp and one 4-cent stamp, or two 4-cent stamps and one 2-cent stamp, or four 2-cent stamps.)
Using these initial conditions and the recurrence relation, we can calculate P(n) for any positive integer n.
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%84, percent of Astrid's books are fiction. What fraction of Astrid's books are fiction?
Answer:
the fraction would be
84/100
Answer:
84/100
Step-by-step explanation:
84% is out of a hundred.
The chief of security for the Mall of the Dakotas directed a study of theft. He selected a sample of 200 boxes that had been tampered with and ascertained that for 80 of the boxes, the missing pants, shoes, and so on were attributed to shoplifting. For 45 boxes, employees had stolen the goods, and for the remaining 75 boxes, he blamed poor inventory control. In his report to the mall management, can he say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely? Use the 0.10 significance level.
H0: The proportions are as stated. H1: The proportions are not as stated.
1. State the decision rule using 0.10 significance level. (Round your answer to 3 decimal places.)
2. Compute the value of chi-square. (Round your answer to 3 decimal places.)
The chief of security for the Mall of the Dakotas directed a study of theft. He selected a sample of 200 boxes that had been tampered with and ascertained that for 80 of the boxes, the missing pants, shoes, and so on were attributed to shoplifting. For 45 boxes, employees had stolen the goods, and for the remaining 75 boxes, he blamed poor inventory control.
In his report to the mall management, can he say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely? Use the 0.10 significance level. H0: The proportions are as stated. H1: The proportions are not as stated. The decision rule using a 0.10 significance level is: Reject H0 if the computed chi-square value is greater than 4.605. Compute the value of chi-square as follows: Observed Frequencies: Shoplifting: 80 Employee theft: 45 Poor inventory control: 75 Total: 200 Expected Frequencies: Shoplifting: (80+45+75) x (80/200) = 80. Employee theft: (80+45+75) x (45/200) = 36. Poor inventory control: (80+45+75) x (75/200) = 84. Total: 200The formula for chi-square is: χ2=∑((Oi−Ei)2/Ei). Using the observed and expected frequencies from above, we get: χ2 = [(80 - 80)²/80] + [(45 - 36)²/36] + [(75 - 84)²/84] = 2.4. The value of chi-square is 2.4, which is less than 4.605. Therefore, we fail to reject H0. Hence, the chief of security for the Mall of the Dakotas cannot say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely at a 0.10 significance level.
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58 = 7x - 5
What is X?
Answer:
9
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
58 = 7x -5
Add + 5 to both sides
58+5 = 7x - 5 + 5
63 = 7x + 0
63 = 7x
Divide both sides by 7 to isolate the variable x.
63/7 = 7x/7
9 = x
So x = 9.
Check your answer:
7(9) - 5 = 63-5 = 58 so it works!
The endpoints of line segment AB is A(2x,y-1) and B(y+3,3x+1). The midpoint of AB is M(-7/2,-8) What is the length of AB? Round to the nearest tenth if necessary
The solution of this system is (x, y) = (- 6, 2).
What is the length of the line segment AB?
The endpoints of line segment AB and its midpoint are described by algebraic expressions. The following relationship between the endpoints and the midpoint is shown by the following formula:
M(x, y) = 0.5 · A(x, y) + 0.5 · B(x, y)
(- 7 / 2, - 8) = 0.5 · (2 · x, y - 1) + 0.5 · (y + 3, 3 · x + 1)
(- 7 / 2, - 8) = (x, 0.5 · y - 0.5) + (0.5 · y + 1.5, 1.5 · x + 0.5)
(- 7 / 2, - 8) = (x + 0.5 · y + 1.5, 1.5 · x + 0.5 · y)
(x + 0.5 · y , 1.5 · x + 0.5 · y) = (- 5, - 8)
Which is equivalent to the following system of linear equations:
x + 0.5 · y = - 5
1.5 · x + 0.5 · y = - 8
The solution of this system is (x, y) = (- 6, 2).
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is my answer correct
1+1=11
Answer: no
Step-by-step explanation:
Determine d^2y/dx^2 if x=θ−sinθ and dydx=1/1−cosθ.
The second derivative d²y/dx² is
d²y/dx² = -sin(x + sin(θ)) * (1 - cos(x + sin(θ))) * (1 + cos(θ) / (1 - cos(θ)))
To find the second derivative d²y/dx², we need to differentiate the given expression for dy/dx with respect to x and then differentiate it again. However, the given expression for dy/dx is in terms of θ, so we need to express it in terms of x using the given relationship x = θ - sin(θ).
First, let's find dx/dθ:
dx/dθ = 1 - cos(θ)
Now, let's express dy/dx in terms of x:
dy/dx = 1 / (1 - cos(θ))
Since x = θ - sin(θ), we can solve for θ in terms of x:
x = θ - sin(θ)
θ = x + sin(θ)
Substituting this back into dy/dx:
dy/dx = 1 / (1 - cos(x + sin(θ)))
Now, let's differentiate dy/dx with respect to x:
d²y/dx² = d/dx (dy/dx)
= d/dx [1 / (1 - cos(x + sin(θ)))]
To find d²y/dx², we need to apply the chain rule. Let's start by differentiating the denominator:
d/dx [1 - cos(x + sin(θ))] = -sin(x + sin(θ)) * (1 - cos(x + sin(θ)))'
The derivative of 1 is 0, so we can ignore it. Now, we need to differentiate the term cos(x + sin(θ)). Applying the chain rule again:
(cos(x + sin(θ)))' = -sin(x + sin(θ)) * (x + sin(θ))'
The derivative of x with respect to x is 1, and the derivative of sin(θ) with respect to x is cos(θ) * θ'. Since dy/dx = 1 / (1 - cos(x + sin(θ))), we can substitute θ' with dy/dx:
(cos(x + sin(θ)))' = -sin(x + sin(θ)) * (x + sin(θ))' = -sin(x + sin(θ)) * (1 + cos(θ) * (dy/dx))
Substituting this back into the expression for d²y/dx²:
d²y/dx² = -sin(x + sin(θ)) * (1 - cos(x + sin(θ))) * (1 + cos(θ) * (dy/dx))
Now, we can substitute dy/dx = 1 / (1 - cos(θ)):
d²y/dx² = -sin(x + sin(θ)) * (1 - cos(x + sin(θ))) * (1 + cos(θ) / (1 - cos(θ)))
Hence, The second derivative d²y/dx² is
d²y/dx² = -sin(x + sin(θ)) * (1 - cos(x + sin(θ))) * (1 + cos(θ) / (1 - cos(θ)))
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A marble bust is 25 years old, and a terra-cotta bust is 85 years old. In how many years will the terra-cotta bust be three times as old as the marble bust?
Answer:
in five years.
Step-by-step explanation:
I'm not good at explaining this but you can keep adding years to your equation until you get the answer to be 3. For example your starting equation is 85/25 which = 3.4 years, you can keep going like 86/26 = 3.3 years, 87/27 =3.2 years until you get to 3. When the terracotta bust is 90 years old and the marble bust is 30, it will be three times as old. (90/30 is simplified to 9/3 then to 3.)
PLEASE HELP ME THANK YOU :)
Answer:
B
Step-by-step explanation:
Notice that the function gives us 1 in the ordinate for an abscissa of 3.
Let's try each expression and see the outcome.
A. g(3)= (1/3)*9
=3
that is false
B. g(3)= [(1/3)*3]²
= 1
that is True!
we found the answer but let's try the rest
C. g(3)= 3*3²
= 27
False
D. g(3)= [(1/9)*3]²
= 1/9
Question 3 Part D (2.02, 2.04): The table of values represents a linear function g(x), where x is the number of weeks that have passed and g(x) is the balance in the bank account. Write the equation of the line using function notation.
The equation of the line using function notation will be;
⇒ g(x) = 250x + 1250
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The table of values represents a linear function g(x), where x is the number of weeks that have passed and g(x) is the balance in the bank account.
Now,
Since, The table of values represents a linear function g(x), where x is the number of weeks that have passed and g(x) is the balance in the bank account.
Take two points of the table as;
(x, g(x)) = (0, 1250) (5, 750)
So, The linear equation for the table is,
⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
⇒ y - 1250 = (750 - 1250)/(5 - 0) (x - 0)
⇒ y - 1250 = 500/5 x
⇒ y - 1250 = 250x
⇒ y = 250x + 1250
⇒ g(x) = 250x + 1250
Thus, The equation of the line using function notation will be;
⇒ g(x) = 250x + 1250
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select all of the solutions to the system graphed below.
0,-2
4,4
2,0
3,5
Step-by-step explanation:
that was my answer
what is the average slope/rate of change between (0, 1) and (2, 4)? what is the average slope/rate of change between (-2, 1/4) and (-1, 1/2)? is the slope/rate of change constant (not changing/the same)? is the function linear?
a) The average slope or rate of change between (0, 1) and (2, 4) is 3/2.
b) The average slope or rate of change between (-2, 1/4) and (-1, 1/2) is 1/4.
c) The slope or rate of change is not constant between these two pairs of points, since the average slopes are different.
d) The function connecting these pairs of points is not a linear function.
The average slope or rate of change between two points (x1, y1) and (x2, y2) on a line is given by
average slope = (y2 - y1) / (x2 - x1)
For the points (0, 1) and (2, 4), the average slope is
average slope = (4 - 1) / (2 - 0) = 3/2
For the points (-2, 1/4) and (-1, 1/2), the average slope is
average slope = (1/2 - 1/4) / (-1 - (-2)) = 1/4
The slope or rate of change is not constant between these two pairs of points, since the average slopes are different. Therefore, the function connecting these pairs of points is not a linear function.
Note that a linear function has a constant slope, so if the slope is changing, then the function cannot be linear.
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HELPPPP. debra deposits $600 into an account that pays simple intest at a rate of 5% per year. how much ibttest will she be paid in the forst 2 years.
Answer:
$660
Step-by-step explanation: 5% per year
5x2= 10%
percent is always out of 100
100+10=110 110 divided by 100= 1.10
600x1.10= $660
for a randomly selected worker, what is the approximate probability the bolt will be inserted in 19 minutes or less? round to the nearest whole percent.
The probability that the bolt will be inserted in 19 minutes or less is 0.8413.
How to calculate the probability?It should be noted that the probability will be illustrated as:
P(X < x) = P[z < (x - u/sd)]
where
x = number
u = mean
SD = standard deviation
Therefore given the numbers, this will be:
P(x < 19) = P(z < (19 - 15)/4)
= P(z < 4/4) = P(z < 1)
= 0.8413
Therefore, the probability that the bolt will be inserted in 19 minutes or less is 0.8413.
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The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately Normally distributed. For a randomly selected worker, what is the approximate probability the bolt will be inserted in 19 minutes or less?
Jack paid $46 for 4 pizzas. How much did he pay per pizza?
Answer:
$11.50
Step-by-step explanation:
46/4=11.5
In money have to make it the hundredths, so it's $11.50.
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Answer:
$11.50
Step-by-step explanation:
$46 ÷ 4 = 11.5
2nd question pls tell fast pls
1. 08 similarity and the Pythagorean theorem
Answer: In any right angled triangle , the square of the length of the hypotenuse (longest side) is equal to the sum of square of length of the other two side (i.e. adjacent leg and opposite leg)
What do you know to be true about the values of p and q?
AA
60
50
30
80
A. p= q
OB. p
O C. p> q
OD. Can't be determined
∠p= ∠q is true about the values of p and q. Option A is correct.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
The sum of the angle of a triangle is 180°
Figure 1:
∠p+60+50=180
∠p=180-110
∠p=70°
Figure 2:
∠q+80+30=180
∠q=180-110
∠q=70°
∠p= ∠q
Hence option A is correct.
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how do you graph y=1x+6
Answer:
6 is the y intercept and 1 is the slope, so it goes up 1 unit right 1 unit
Step-by-step explanation:
g a pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. this plan randomly selects and tests 29 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. what is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects? (report answer as a decimal value accurate to four decimal places.)
The probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660
This problem can be solved by permutations and combinations. This can also be solved using binomial probability experiment.
Let, then we could reasonably assume that follows a binomial distribution.
Given P = 0.01 and n = 29
P(x) = nCx.px.(1-p)^(n-x)
nCx = n! [x!-(n-x)!]
P = P(X<=1).
X<=1, if X = 0 and X = 1,
P(0) + P(1)
P(0) = 1.(0.01)^(0).(0.99)^(29) = 0.74717
P(1) = 29C1.(0.01)^(1).(1-0.01)^(29-1)
P(1) = 0.21887
P = P(0) + P(1)
P = 0.74717+0.21887 = 0.9660
So, therefore the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660
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Explain briefly the six main criteria that can be used to define normality and abnormality, by illustrating them with one psychological "abnormality" (other than homosexuality).
What may be the values and limitations of using the medical model and classification systems (which are originated from diagnosing and treating physical illnesses) to the understanding and treating of psychological disorders?
The six criteria are:
1. Abnormality as statistical infrequency (Involves comparison with other people)
2. Abnormality as personal distress (Involves consequences of the behavior for self)
3. Abnormality as others’ distress (Involves the consequences of the behavior for others)
4. Abnormality as unexpected behavior (Involves another kind of comparison with others’ behavior)
5. Abnormality as highly consistent/inconsistent behavior (Involving making comparisons between both the actor and others, and between the actor and him/herself in different situations)
6. Abnormality as maladaptiveness or disability (Concerns about the (disabling) consequences for the actor)
The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.
1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.
2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.
For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.
3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.
For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.
4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.
For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.
5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.
For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.
6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.
The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.
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