please help i will give brainliest answer
Answer:
circumference = 2πr
2×π×6
12πmm
Given:
Radius of circle = 6 mm
Work out :
Workout the circumference of this circle?
Formula used:
Circumference of circle = 2πr
Solution:
According to the question,
Circumference of circle = 2πr
= 2 × π × 6
= 12 π mm
Suppose that an investment has 0.5% chance of a loss of $10
million and a 99.5% chance of a loss of $1 million. What is the
Value-at-Risk (VaR) for this investment when the confidence level
is 99%
To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).
Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:
Loss Amount | Probability
$10 million | 0.5%
$1 million | 99.5%
To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.
The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.
Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.
The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.
To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.
Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:
VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)
VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)
VaR = $50,000 + $995,000
VaR = $1,045,000
Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.
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The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 18 chickens shows they laid an average of 20 eggs per month with a standard deviation of 5 eggs per month.
(a-1) What is the value of the population mean?
20
It is unknown.
5
(a-2) What is the best estimate of this value?
Best estimate
(c)
For a 95% confidence interval, what is the value of t? (Round your answer to 3 decimal places.)
Value of t
(d)
Determine the 95% confidence interval for the population mean. is (Round your answers to 2 decimal places.)
Confidence interval to
(e-1) Would it be reasonable to conclude that the population mean is 17 eggs?
No
Yes
(e-2) What about 18 eggs?
Yes
No
(a-1) The value of the population mean is unknown.
(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.
(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.
(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).
(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.
(e-2) It would be reasonable to conclude that the population mean is 18 eggs.
(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.
(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.
(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.
Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.
(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.
In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.
(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.
(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.
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A+number+is+stored+in+cell+c24.+in+cell+d24,+you+wish+to+calculate+5%+of+the+number+stored+in+cell+c24.+to+accomplish+this,+what+formula+should+be+entered+in+cell+d24?
Answer:
just put out + from the question.
A photographic negative is 2 in. by 1.5 in. An
enlarged print from this negative has a length
of 9 in. as its shorter side. What is the length of
its longer side?
Answer:
The length of the longer side is 12 in
Step-by-step explanation:
Scaling
The dimensions of the photographic negative are 2 in by 1.5 in.
An enlarged print of it has a length of 9 in and it's equivalent to the shortest side.
Since the shortest side of the negative is 1.5 in, the scale factor is 9/1.5 = 6.
The longer side should have been enlarged by the same factor, thus the longer side is 2*6 = 12 in
The length of the longer side is 12 in
From an Algebra 2 class
solve x^2+9=0
Answer:
x = {-3, 3}Step-by-step explanation:
Simplifying
x2 + -9 = 0
Reorder the terms:
-9 + x2 = 0
Solving
-9 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + x2 = 0 + 9
x2 = 0 + 9
Combine like terms: 0 + 9 = 9
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
Answer:
10^2=0
Step-by-step explanation
Because x by it self always means one it would technically be 1^2+9 which would equal 10^2=0
can anyone answer this?
Answer:
it is J
Step-by-step explanation:
Given mlln, find the value of X.
Answer:
65°
Step-by-step explanation:
180-115=65
Have a great day
Answer:
\(\displaystyle\Huge \bf\red{\underline{\underline{ANSWER}}}
\)
Let the speed of the train be x km/hr and the speed of the bus is y km/hr.
So according to question and using
\( \huge \boxed{\sf{Time = \frac{Distance}{speed}}}
\)
Total distance =300 km
Mansi travels 60 km by train and 300−60=240 by bus in 4 minute,
\( \bf\frac{60}{x} + \frac{240}{y} = \red4
\)
and 100 km by train, 300−100=200 by bus, and takes 10 minutes more,
\( \bf {\frac{100}{x} + \frac{200}{y} = 4 + \frac{1}{6} = \frac{24 + 1 }{6} = \purple{\frac{25}{6}}}
\)
Now, let
\(\bf\color{blue}{\frac{1}{x} = a}\)
and.
\( \bf \color{blue}{ \frac{1}{y} = b }\)
\(\bfthen 60a+240b=4.............(1)\)
\(\bf100a+200b=25/6----(2)\)
multiply (1) by 5 and (2) by 6 we get
\(\bf300a+1200b=20..........(3)\)
\(\bf600a+1200b=25...........(4)\)
Subtracting (3) and (4) we get
\(\bf \green{−300a=−5}\)
\(\bf{a = \frac{1}{60}}\)
Putting the value of a in (1) we get
\(\bf{60 \times \frac{1}{60} + 240b = 4}\)
\(
\bf240b = 3 \\ \\ \bf b = \frac{1}{80} \)
Now ,
\( \bf\frac{1}{x} = a \\ \\ \bf \red{a = 60 km/h \: \blue \bigstar}\)
\( \bf\frac{1}{y} = b \\ \\ \bf \red {b = 80 km/h \: \pink \bigstar} \)
Hence, the speed of the train is 60 km/hr and the speed of the bus is 80 km/hr.
Two linear functions are represented in different formats. Function 1: x y 0 5 2 11 5 20 8 29 Which statements are true? Select each correct answer. Function 1 has a greater rate of change than function 2. Function 2 has a greater rate of change than function 1. Function 1 has a greater y-intercept than function 2. Function 2 has a greater y-intercept than function 1.
Answer:
5
Step-by-step explanation:
if it goes it up then not the 10
Factor the trinomial and show your work.
x^2 - 10x + 9
Answer:
\((x - 9)(x - 1)\)
Step-by-step explanation:
We can factor the trinomial using the rule:
IF \(x^2 + cx + d = (x + a)(x + b)\),
THEN \(a + b = c\) and \(a \cdot b = d\).
We know that -9 and -1 add to -10. They also multiply to 9.
Therefore, we can factor \(x^2 - 10x + 9\) as:
\(\boxed{(x - 9)(x - 1)}\)
The factors of the given trinomial are (x-9)(x-1).
What is trinomial?Trinomial is a polynomial having 3 terms. At least one variable and one operation (addition, subtraction, multiplication, division) must be present in an algebraic expression.
Given that, a trinomial x² - 10x + 9, we need to find the factors,
So,
x² - 10x + 9
= x² - 9x - x + 9
= x(x-9) -1(x-9)
= (x-9)(x-1)
Hence, the factors of the given trinomial are (x-9)(x-1).
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Please answer this in two minutes
Answer:
54
Step-by-step explanation:
im not that good so u should cheek it first
Answer: 9a + 249
Step-by-step explanation: 9a + 249 and a would be one cause these numbers are independent
What is the slope of the line . For khan academy . Need answer immediately
Answer:
m = 2
Step-by-step explanation:
Given: abcd is a rectangle, M is midpoint of line AB prove: line DM is congruent to CM
DM is congruent to line CM because CDM is congruent to triangle CBM using the SAS congruence criteria for triangles.
Draw a diagram of the rectangle ABCD with M as the midpoint of AB. Draw lines CM and DM ( refer to the attached image). Since AB is a line segment, we know that AM is congruent to MB (because M is the midpoint of AB). Since ABCD is a rectangle, we know that AB is parallel to CD, and AD is parallel to BC. Thus, we have two pairs of parallel lines: AB and CD, and AD and BC.
Using the fact that opposite sides of a rectangle are congruent, we have CD = AB. Now, we have a pair of congruent sides (DM and CM) that are opposite each other in triangle CDM and CBM respectively. We also have another pair of congruent sides (CD and AB) that are opposite each other in both triangles. Finally, we know that the angle CMD is congruent to the angle CMB because they are vertical angles. By the Side-Angle-Side (SAS) congruence criterion, we can conclude that triangle CDM is congruent to triangle CBM.
Therefore, line DM is congruent to line CM by SAS congruence criteria.
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can someone please help with this
All correct proportions include the following:
A. \(\frac{AC}{CE} =\frac{BD}{DF}\)
D. \(\frac{CE}{DF} =\frac{AE}{BF}\)
What are the properties of similar geometric figures?In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.
Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;
\(\frac{AC}{CE} =\frac{BD}{DF}\)
\(\frac{CE}{DF} =\frac{AE}{BF}\)
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-13, -11 -9,- 7,
What are the next three terms of the arithmetic sequence?
Answer:
-5, -3, -1, 1
Step-by-step explanation:
If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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Provide the missing statements and reasons for the following proof:
The missing statements and reasons to proof that ∠1 is supplementary to ∠3 are:
S1: Line m is parallel to line n.
S2: ∠1 = ∠2
R3: Corresponding angles postulate
R5: Supplement Postulate
S7: m∠1 + m∠3 = m∠2 + m∠3
What are Supplementary Angles?
Supplementary angles, when added together will give us a sum of 180°.
Linear pair angles and corresponding angles are supplementary.
Thus, to prove that ∠1 is supplementary to ∠3:
We are given that lines m and n are parallel.
∠1 and ∠3 are corresponding angles.
So therefore, ∠1 = ∠3 by the corresponding angles postulate.
∠2 and ∠3 are linear pair, their sum therefore equals 180° based on the definition of supplementary angles.
Based on the substitution property, we have the following:
m∠2 + m∠3 = m∠1 + m∠3
m∠1+m∠3=180°
Therefore, ∠1 is supplementary to ∠3 based on the definition of supplementary.
The missing statements and reasons to proof that ∠1 is supplementary to ∠3 are:
S1: Line m is parallel to line n.
S2: ∠1 = ∠2
R3: Corresponding angles postulate
R5: Supplement Postulate
S7: m∠1 + m∠3 = m∠2 + m∠3
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I need help with this, pls answer quick!
Answer: the answer is 5
Step-by-step explanation:
17-(6*2)
17-12
2 of 3
Some people took part in a game. The frequency shows information about their scores.
Score
1-7
8-10
11-15
16-20
21-35
36-50
Estimate the mean.
Give your answer rounded to 2 decimal places.
Frequency
13
1
19
20
19
20
The mean of the given data is 22.39.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Let us form a table by give data
Score Frequency Midpoint(x) fx
1-7 13 4 52
8-10 1 9 9
11-15 19 13 247
16-20 20 18 360
21-35 19 28 532
36-50 20 43 860
Mean=∑fx/N
=52+9+247+360+532+860/13+1+19+20+19+20
=2060/92
Mean=22.39
Hence, the mean of the given data is 22.39.
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if you select a dvd at random, then select another at random (while keeping the first in your hand), what is the probability that both will be harry potter films?
The probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.
The probability of selecting a Harry Potter DVD at random is dependent on the total number of DVDs and the number of Harry Potter DVDs in the collection. Let's assume there are a total of 100 DVDs and 10 of them are Harry Potter films.
When selecting the first DVD, the probability of picking a Harry Potter film is 10/100 = 1/10.
After selecting the first DVD, there are 99 DVDs left, with 9 Harry Potter films remaining.
When selecting the second DVD, the probability of picking another Harry Potter film, while keeping the first one in hand, is 9/99 = 1/11.
To find the probability of both DVDs being Harry Potter films, we multiply the probabilities: (1/10) * (1/11) = 1/110.
Therefore, the probability that both DVDs will be Harry Potter films is 1/110.
In conclusion, the probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.
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She had $3000. She spend 40% of the money in smart TV and 15% of the remainder on Game Set. (a) What % of the money had she left? (b) How much money had she left?
Answer: She had left 54% of the money which is $1620.
Step-by-step explanation:
40% of $3000 = $1200
15% of $1200 = $180
$3000 - ($1200 + $180)
$3000 - $1380 = $1620
$1620 is the money she had left.
$1620 is 54% of $3000
She had 54% left of the money.
Hope that helped~!
Which of the following types of distributions use t-values to establish confidence intervals? Standard normal distribution Log.normal distribution ot-distribution O Poisson distribution
The t-distribution is the distribution that uses t-values to establish confidence intervals.t-distribution:
The t-distribution is a probability distribution that is widely used in hypothesis testing and confidence interval estimation. It's also known as the Student's t-distribution, and it's a variation of the normal distribution with heavier tails, which is ideal for working with small samples, low-variance populations, or unknown population variances.The t-distribution is commonly used in hypothesis testing to compare two sample means when the population standard deviation is unknown. When calculating confidence intervals for population means or differences between population means, the t-distribution is also used. The t-distribution is used in statistics when the sample size is small (n < 30) and the population standard deviation is unknown.
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PLS HELP WITH THIS MATH PROBLEM
They are not equal they are not complementary angles or any other equality.
is it a acute, obtuse, or Right
Answer:
Right triangle
Step-by-step explanation:
it has one 90 degree angle
Answer:
Right Triangle
Step-by-step explanation:
The coordinates of point T are (0,2). The midpoint of ST is (4. - 4). Find the coordinates of point S.
Answer:
S(8, -10)Step-by-step explanation:
If point M is midpoint of ST then:
\(x_S-x_M=x_M- x_T\qquad\quad\ \wedge\qquad y_S-y_M=y_M - y_T\\\\S(x_S,\,y_S)\,,\quad T(0,\,2)\,,\quad M(4,\,-4)\,,\ \ so:\\\\x_S-4=4- 0\qquad\quad\ \wedge\qquad y_S-(-4)=-4-2\\\\x_S=4+4\qquad\quad\ \wedge\qquad\ y_S=-6-4\\\\{}\quad x_S=8\qquad\quad\ \wedge\qquad\ y_S=-10\)
In a bakery at night, there are some cupcakes with some flies hovering over them. How many cupcakes are there if both the following statements are true: 1. If each fly lands on a cupcake, one fly doesn’t get a cupcake. 2. If two flies share each cupcake, there is one cupcake left out.
Annie wants to use the problem-cause-solution order to organize a persuasive speech to reduce violence on campus. she begins by offering statistics of incidents to show that there is a need for action. what is a possible next step
The possible next step that Annie should use in the persuasive speech is to discuss the lack of street lamps and campus security as causes of the problem.
What is a persuasive speech?It should be noted that a persuasive speech simply means a speech that is used to convince an individual to agree to a particular perspective.
In this case, the possible next step that Annie should use in the persuasive speech is to discuss the lack of street lamps and campus security as causes of the problem.
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Kristy incorrectly says
that the volume of the sphere below is
144T cubic units. What mistake might Kristy
have made?
The mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.
How to find the Area of a Sphere?We are given the volume of the sphere as 144π cubic units.
From the attached file, we see that the radius of the sphere is 6.
Formula for Volume of a Sphere is;
V = ⁴/₃πr³
Thus;
V = ⁴/₃π * 6³
V = 288π cubic units
Thus, the mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.
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(1) How many distinct permutations can be made from the letters of the word INFINITY?
(2) How many of these permutations starts with the letter Y?
calculate the following expression:
The word "INFINITY" has eight letters. To find out the number of distinct permutations that can be made from the word "INFINITY," we will use the formula for permutation. The formula is:$$P(n,r) = \frac{n!}{(n-r)!}$$Where n is the total number of items and r is the number of items taken at a time.
Using the formula, we get:\($$P(8,8) = \frac{8!}{(8-8)!}$$$$P(8,8) = \frac{8!}{0!}$$$$P(8,8) = 8!$$$$P(8,8) = 40,320$$\). There are 40,320 distinct permutations that can be made from the letters of the word INFINITY. To find out the number of permutations that start with the letter Y, we will treat Y as a fixed letter at the beginning. Then we will find the number of permutations of the remaining seven letters.
This can be done using the same formula as before. But this time, we will use n = 7 and r = 7. The formula becomes:\($$P(7,7) = \frac{7!}{(7-7)!}$$$$P(7,7) = \frac{7!}{0!}$$$$P(7,7) = 7!$$$$P(7,7) = 5,040$$\). Therefore, there are 5,040 permutations that start with the letter Y.
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A train leaves Buenos Aires at 9:04 am, averaging 98 mph. Another train headed in the same direction leaves Buenos Aires at 1:15 pm, averaging 113 mph. To the nearest tenth, how many hours after the second train leaves will it overtake the first train?
The second train will overtake the first train approximately 4.4 hours after it leaves Buenos Aires. Another train headed in the same direction leaves Buenos Aires at 1:15 pm
To determine when the second train will overtake the first train, we need to find the time it takes for the second train to catch up with the first train.
First, we need to calculate the time it takes for the first train to travel from Buenos Aires to the point where it is overtaken by the second train. The first train leaves at 9:04 am and travels for a certain amount of time before being overtaken. The second train leaves Buenos Aires at 1:15 pm, which is 4 hours and 11 minutes after the first train.
To find the distance traveled by the first train during this time, we use the formula: distance = speed × time. The speed of the first train is 98 mph, and the time it travels is 4 hours and 11 minutes, which is equivalent to 4.1833 hours. Therefore, the distance traveled by the first train is 98 × 4.1833 = 409.1734 miles.
Now, we can determine how long it takes for the second train to catch up with the first train. The second train travels at a speed of 113 mph. Since both trains are traveling in the same direction, the relative speed of the second train with respect to the first train is the difference in their speeds: 113 - 98 = 15 mph.
To find the time it takes for the second train to catch up, we divide the distance traveled by the first train (409.1734 miles) by the relative speed (15 mph). The time is approximately 27.3 hours.
Finally, we subtract the time it took for the second train to catch up (27.3 hours) from the time the second train left Buenos Aires (1:15 pm), which gives us the time when the second train overtakes the first train. Converting 27.3 hours to minutes, we get approximately 27 hours and 18 minutes. Adding this to 1:15 pm, we find that the second train overtakes the first train at approximately 4:33 pm.
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