The central angle states the property of the center of the circle, So It is called the central angle.
What is a Central Angle?
The central angle is the angle that a circle's arc occupies in its center. The arms of the central angle are formed by the radius vectors. In other words, it's an angle whose vertex is the center of a circle and whose arms, which have the circle's two radii as their arms, cross at two separate positions. These two points make an arc when they are combined. The angle that this arc at the circle's center subtends is known as the central angle.
An arc's angle at the circle's center is twice as large as its angle at any other point along the circle's circumference. the angle subtended by the arc in the opposite segment of the circle is twice as large as the angle at the center of the circle.
Hence,
The central angle states the property of the center of the circle, So It is called the central angle.
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Exercie 11-50,evaluate the limit if it exit. If not,determine whether the one ided limit exit(finite or infinite)lim(xto2^{-})(x-3/x-2)
The function's one sided limit is [tex]+\infty[/tex].
Given function,
[tex]\lim_{x \to 2^-} \frac{x-3}{x-2}\\\\= \frac{2-3}{2-2}\\\\=\frac{-1}{0}\\\\=\infty[/tex]
Thus, it reaches infinity then the limit does not exist.
From the given function, it is observed x belongs to [tex]2^-[/tex] it means it's graph will start from left.
To determine it's one sided limit, substitute a smaller number which is very close to 2 i.e.1.9999
It's one sided limit will be
[tex]\lim_{x \to 2^-} \frac{x-3}{x-2}\\\\=lim_{x \to 2^-}(x-3)*lim_{x \to 2^-}(\frac{1}{x-2})\\\\=(1.9999-3)*(\frac{1}{1.99999-2})\\\\=-1.0001*(\frac{1}{-0.0001})\\\\[/tex]
When denominator is a very small number in a fraction then the fraction equals to infinity.
[tex]=-1.0001*-\infty\\=+\infty[/tex]
Hence, the function's one sided limit reaches to positive infinity.
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Find the dimensions of a rectangle whose width is 8 meters less than its length, and whose area is 153 square meters.
Answer:
Dimensions: 15 cm × 7 cm
Step-by-step explanation:
in a certain isosceles right triangle, the altitude to the hypotenuse has length $6$. what is the area of the triangle?
The required area of given isosceles right triangle is 36 sq. units
Explain isosceles right triangle.An Isosceles Right Triangle is a right triangle that comprises of two equivalent length legs. Since the two legs of the right triangle are equivalent long, the relating points would likewise be compatible.
According to question:Input information entered: point α, point β, point γ and level h
alpha = 45° ; ; beta = 45° ; ; gamma = 90° ; ; h = 6 ;
From level h and point α we compute side a:
a = { h }/{ sin beta } = { 6 }/{ sin (45° ) } = 8.485 ; ; b = { h }/{ sin alpha } = { 6 }/{ sin (45° ) } = 8.485 ;
From side an and point α we work out hypotenuse c:
sin alpha = a:c ; c = a/transgression alpha = 8.485/sin(45 ° ) = 12 ; ;
a = 8.49 ; ; b = 8.49 ; ; c = 12 ;
Then,
Area of triangle = { stomach muscle }/{ 2 } = { 8.49 * 8.49 }/{ 2 } = 36 Sq. units.
Hence, required area of isosceles right triangle is 36 Sq. units.
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a sample of 2,500 people was asked how many cups of coffee they drink in the morning. you are given the following sample information. cups of coffee frequency 0 600 1 800 2 900 3 200 2,500 the expected number of cups of coffee is . a. 1.28 b. 2.28 c. 1.5 d. 2
After using the mean, the expected number of cups of coffee is 1.28. So the option a is correct.
In the given question, a sample of 2,500 people was asked how many cups of coffee they drink in the morning.
We have to find the expected number of cups of coffee.
x Frequencyf(x) x^2 x∙f(x) x^2∙f(x)
0 600 0 0 0
1 800 1 800 800
2 900 4 1800 3600
3 200 9 600 1800
Total 2500 3200 6200
Mean = Sum of f.x/Sum of f
Mean = 3200/2500
Mean = 1.28
Mean = 1.28
The expected number of cups of coffee is 1.28.
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Graph the solution to the inequality on the number line.
|12-3u| >3
What does f/g )( x mean?.
The expression (f/g) (x) means that the function f(x) is divided by g(x).
According to the question,
We have the following information:
f/g(x)
Now, this expression can be simply expressed as f(x) divided by g(x) where the two functions are also expressed in terms of x.
For example, it can be better understood as with the following two functions:
f(x) = 2x+1
g(x) = 5x
Now, the expression f/g(x) can be simply expressed as follows:
f/g(x) = (2x+1)/5x
In other words, it can be expressed as f(x) is divided by g(x).
Hence, the expression (f/g) (x) means that the function f(x) is divided by g(x).
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In an application to etimate the mean number of mile that downtown employee commute to work round trip each day, the following information i given: n = 20 = 4. 33 = 3. 50 The point etimate for the true population mean i
Using T-test, the upper limit for a 95 percent confidence interval estimate for the true population mean is: 5.965.
T-Test:
When population data are limited, small samples should be used to estimate confidence intervals for the population mean. If your sample size is less than 30 and we don't know the population standard deviation, then you have the normal distribution instead, and use the t distribution instead of the normal distribution.
We have given that,
Estimate the mean number of mile that downtown employee commute to work round trip each day,
sample mean (X-bar) = 4.33
sample size (n) = 20
standard deviations of sample (s) = 3.50
we have to calculate the value of true population .
The degree of freedom is going to be equal to (20 - 1 )= 19 for the sample size, 20. The confidence interval is 95 percent. The level of significance of the alpha is 100% - 95% = 5% that's confidence interval is 5 percent, which is basically in decimal.05.
Upper limit of Population mean = x-bar + t∗s√n
t value at 0.05 and degree of freedom 19 is 2.09
Upper Limit : 4.33 + 2.09×3.50√20
=5.965~ 6
the upper limit for a 95 percent confidence interval estimate for the true population mean is: 5.965.
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Complete Question:
In an application to estimate the mean number of miles that downtown employees commute to work roundtrip each day, the following information is given: n=20, Xbar-4.33, s-3.5.
Based on this information, the upper limit for a 95 percent confidence interval estimate estimate for the true population mean is:
a)1,638
b) 3,5
c) 4,33
d) 4.33 +- 1.638
Which polynomial function's graph is shown here?
OA)/(x) = (x + 1)(x+3)(x+4)
OB)/(x) = (x + 1)(x-3) (x+4)
OC)/(x) = (x-1) (x+3)(x-4)
OD)/(x) = (x-1) (x-3) (x-4)
a plane flying at an altitude of 7 miles above a radar antenna passes directly over the radar antenna (see figure). let d be the ground distance from the antenna to the point directly under the plane and let x be the angle of elevation to the plane from the antenna. (d is positive as the plane approaches the antenna.) write d as a function of x. d
A function of d which is the ground distance from the antenna to the point directly under the plane and x which is the angle of elevation to the plane from the antenna is written as
d = 7/tan x How to write the functionThe function is written using SOH CAH TOA
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
The direction of movements describes a right triangle of
opposite = 7 miles
adjacent = d miles
The function is written using tan, TOA let the angle be x
tan x = Opposite / Adjacent
tan x = 7 / d
d = 7 / tan x
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A company offers a nut mixture with 7 peanuts for every 3 almonds. The company changes the mixture to have 9 peanuts for every 5 almonds, but the number of nuts per container does not change.
Plsssss help i'm so stuck :(
a. How many nuts are in the smallest possible container?
Answer:
70
Step-by-step explanation:
Nut mixture 1: 7 peanuts for every 3 almonds.
Therefore, the container has to hold nuts in multiples of 10, since 7+3=10 and 7 is not divisible by 3.
Nut mixture 2: 9 peanuts for every 5 almonds.
Therefore, the container has to hold nuts in multiples of 14, since 9+5=14 and 9 is not divisible by 5.
To find the number of nuts in the smallest possible container, find the least common multiple (LCM) of 10 and 14.
To find the LCM, list the multiples of each number and locate the smallest multiple that is exactly divisible by both the numbers:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, ...Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, ...Therefore, the LCM of 10 and 14 is 70.
So there are 70 nuts in the smallest possible container.
Please help me solve this
this is geometry
Answer:
x=10 and y=5sqrt3
Step-by-step explanation:
since 30-60-90 tri, x=10 and y=5sqrt3
The diagram is not accurate.
The table ummarize reult from 984 pedetrian death that were caued by automobile accident. Pedetrian intoxicated
Ye. No
Driver Intoxicated - Ye 51. 75
No 239. 619
If one of the pedetrian death i randomly elected, find the probability that the pedetrian wa intoxicated or the driver wa not intoxicated
If one of the pedestrian death is randomly elected, find the probability that the pedestrian was intoxicated or the driver was not intoxicated 0.6290.
Divide the applicable variety with the aid of using the whole variety. In this case, the applicable variety they may be requesting is "neither pedestrian nor driver."Neither/Total = 619/984 = 0.6290.Rounded to 4 figures that is 0.6290.This, of course, assumes that the published desk is formatted successfully and is correctly legible.Read more about pedestrian :
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what are the odds of randomly generating an even number with the first two odd numbers and unique numbers
The odds of randomly generating an even number with the first two odd numbers and unique numbers = [tex]\frac{10}{16}= \frac{5}{8}[/tex].
Sum will be even if either both numbers are odd or both numbers are even .
So, Total no. of way to select numbers for making sum even
= 5C2 + 4C2 = 10 + 6 = 16
And, Total numbers of ways to select two odd numbers such that sum is even = 5C2 = 10
Probability that both numbers are odd = [tex]\frac{10}{16}= \frac{5}{8}[/tex]
Hence the answer is the odds of randomly generating an even number with the first two odd numbers and unique numbers = [tex]\frac{10}{16}= \frac{5}{8}[/tex].
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(A.2) Please determine whether the following is a equivalence relation.
a) [1010001000101000001000001]
b) [0001001000001001001000000]
c) Domain is {0,1}6. Define relation R: xRy if y can be obtained from x by swapping any two bits.
Using Equivalence relation conditions ,
option (b) and option (c) are shows equivalence Relation.
Equivalence Relation : A relation is called (∼ ) an equivalence relation on a set A if it satisfies the following three properties:
a) reflexivity: for all a∈A,
a∼a
b) symmetry: for all a,b∈A,
if a∼b then b∼a.
c) transitivity: for all a,b,c∈A,
if a∼b and b∼c then a∼c.
first consider the matrix ,
A = [10100 ; 01000; 10100; 00010; 00001]
A = matrix form start [10100 end brackets
01000
10100
00010
00001]
it is a 5×5 matrix and row 1ˢᵗ and 3ʳᵈ are equivalent which implies determinnant is zero .
So, Matrix A is not equivalent relation.
b) let B = [00010;01000;00100;10010;00000]
we can see that last row (5ᵗʰ ) and last Colomn (5ᵗʰ )have zero enteries.
by simple row and column operation and proper arrangements we get an identity matrix of 4× 4 with 5ᵗʰcolumn and row zero enerties.
So, Identity matrix is always satisfied all three conditions of equivalence Relation.
c) Now, We have the first relation R defined as:
xRy : a relation between x and y exist if y can be obtained from x by swapping any two bits
i. Reflexivity: Any string is clearly related to itself as we can get the same string by swapping a bit with itself.
ii. Symmetry: Let xRy, then y is obtained from x by swapping two bits. Thus, x can be obtained from y by swapping the same bits. Hence the relation is symmetric.
iii. Transitive: Consider the three strings a = 1 0 1 0 1 0, b = 1 0 0 1 1 0, c = 1 0 0 1 0 1. Then b can be obtained from a by swapping the middle two bits, and c can be obtained from b by swapping the last two bits, but, c cannot be obtained from a by swapping two bits only. Hence aRb, bRc but a is not related to c. Therefore the relation is not transitive.
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in a study of the u.s. census, informants would be , whereas respondents would be .
In a study of the u.s. census, informants would be statisticians respondents would be any U.S.citizens
Detailed meaning of survey research: Survey research is a research method involving the use of standardized questionnaires or interviews to collect data about people and their preferences, thoughts, and behaviors in a systematic manner. Although census surveys were conducted as early as Ancient Egypt, survey as a formal research method was pioneered in the 1930-40s by sociologist Paul Lazarsfeld to examine the effects of the radio on political opinion formation in the United States. This method has since become a very popular method for quantitative research in the social sciences.
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construct the 80% confidence interval for the average amount spent by 8 to 11 year olds on a trip to the mall. assume the population is approximately normal. step 3 of 4: find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
To find the critical value that should be used in constructing the 80% confidence interval for the average amount spent by 8 to 11 year olds on a trip to the mall.
What is critical value?the proper z-score for an 80% confidence interval must first be established. Both a z-table and a z-score calculator may be used for this.Using a z-table, i may search up the value of z such that 80% of the area under the standard normal curve is to the left of z to get the z-score. This number is around 0.84.We can then use this z-score to calculate the 80% confidence interval by taking the sample mean and adding or removing the product of the z-score and the standard error of the mean. The standard error of the mean is computed by dividing the standard deviation by the square root of the sample size.
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please answer this question
The answers to the problems are calculated. The first answer is
2.7 ÷ 3= 0.9
What is division?Division is the process of dividing a number by a given number.
(a)
The given expression is 2.7 ÷ 3=_______.
Perform division to find the answer,
2.7/3
= 0.9
(b)
The given expression is 1.6÷ 4=_______.
Perform division to find the answer,
1.6/4
= 0.4
(c)
The given expression is 3.5÷ 5=_______.
Perform division to find the answer,
3.5/5
= 0.7
(d)
The given expression is 0.48 ÷ 6=_______.
Perform division to find the answer,
0.48/6
= 0.08
(e)
The given expression is 8.19 ÷ 2.1=_______.
Perform division to find the answer,
8.19/2.1
= 3.9
(f)
The given expression is 12.32 ÷ 7.7=_______.
Perform division to find the answer,
12.32/7.7
= 1.6
(g)
The given expression is 25.3 ÷ 4.6=_______.
Perform division to find the answer,
25.3/4.6
= 5.5
(h)
The given expression is 146.32 ÷11.8=_______.
Perform division to find the answer,
146.32/11.8
= 12.4
Hence, the answers to the problems are calculated. The first answer is
2.7 ÷ 3= 0.9
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X corporation has 2100 shares outstanding. John owns 900 shares, Mary owns 400 shares Z corporation owns 400 shares and Y partnership owns 400 shares. John and Mary are equal partners of Y partnership. John owns 30 percent of Z corporation. A Applying stock attribution rules, how many shares are owned by John B Assume John owns 60 percent of Z corporation, how many shares are owned by John?
Answer:
Step-by-step explanation:
it 10
Which of the following values are solutions to the inequality 5x+5≥−9?
The possible values of the solutions to the inequality 5x + 5 ≥ −9 are: I, II, and III.
How to Find the Values of the Solutions to an Inequality?To find the possible values of the solution to a given inequality, solve the inequality given using the properties of equality to isolate the variable.
Given the inequality:
5x + 5 ≥ −9
Subtract 5 from both sides:
5x + 5 - 5 ≥ −9 - 5 [subtraction property of inequality]
5x ≥ -14
Divide both sides by 5
5x/5 ≥ -14/5
x ≥ -2.8
This means that all the possible values of x are greater than or equal to -2.8.
1, 4, and 6 are greater than -2.8, therefore, the values of the solutions are: I, II, and III.
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why is an unbiased statistic generally preferred over a biased statistic for estimating a population characteristic? an unbiased statistic is generally preferred over a biased one because the unbiased statistic will , on average, give the correct value for the population characteristic being estimated, while the biased one will . (b) does unbiasedness alone guarantee that the estimate will be close to the true value? explain. unbiasedness alone does not guarantee that the value of the statistic will be close to the true value of the population characteristic, since, if the statistic has a large standard deviation, values of the statistic will tend to be near to the population characteristic. (c) under what circumstances might you choose a biased statistic over an unbiased statistic if two statistics are available for estimating a population characteristic? a biased statistic might be chosen in preference to an unbiased one if the biased statistic has a smaller standard deviation than that of the unbiased statistic, and as a result values of the biased statistic are more likely to be ---select--- the population characteristic than values of the unbiased statistic.
According to the given statistic the sampling distribution of an unbiased estimator is the main characteristic of the population parameter .
According to the definition of an unbiased estimator, an estimator is said to be unbiased if the population parameter that needs to really be estimated is equal value of the sample statistic.
Take the sample statistic x bar and population parameter, for instance. The x is an impartial estimator of, with the formula E(x) = μ
In the stages that follow, we may demonstrate that E(x) = nμ
The sample statistic's current expected value is E. (x)
As we know that x = sum xi/n where i ranges from 1 to n. So,
E(X)=E(sum xi/n)
n is constant so,
E(X)=(1/n)E(sum xi)
where sum xi= x1+x2+...+xn.
E(x)=(1/n)(E(x1)+E(x2)+...+E(xn))
E(x)=(1/n)(μ+μ+...+μ)
E(x)=(1/n)(nμ)
E(x)=μ
The sample statistic is referred to as an unbiased estimator of the population parameter if its expected value is the same as the population parameter being estimated.
Hence the main characteristic will be the population parameter.
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For each sequence find the first 4 terms and the 10th term n 5 , , , , ...,
The first 4 terms are 6,7,8,9 and the 10th term is 15 for given sequence.
Given:
n + 5
substitute n = 1,2,3,4....
= n+5
= 1+5
= 6
= 2+5
= 7
= 3+5
= 8
= 4+5
= 9
First four terms are 6,7,8,9
[tex]T_10 =[/tex] a + (n-1)d
= 6 + (10-1)1
= 6+9*1
= 15
10th term = 15
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Full question:
For each sequence find the first 4 terms and the 10th term:
n + 5.
A bag contains 5 red, 4 green, and 3 blue marbles. what is the probability of randomly selecting a blue marble, replacing it in the bag, and then randomly selecting a red marble?
Answer:
Probability of selecting a blue marble, then a red marble is 5/48---------------------
GivenMarbles: 5 red, 4 green, and 3 blueTotal number of marbles: 5 + 4 + 3 = 12Probabilities areP(blue) = blue / total = 3/12 = 1/4P(red) = red / total = 5/12The probability of the two events with replacement of marble isP(blue, red) = P(blue) × P(red) = 1/4 × 5/12 = 5 / 48if you are looking to expand your company's presence online internationally, which of the following should you consider with regards to your online content?
You should consider option B - Translated but also locally adapted for the audience, with regard to your online content.
Any content that exists as digital data is considered online content. Otherwise called advanced media, computerized content is put away in computerized or simple capacity in unambiguous configurations.
A company's website should become more international in terms of content and supported languages if it wants to expand globally.
The content of a website must not only be translated into the language of the audience or user in that country but also adapted to fit the cultural and linguistic characteristics of that language, both of which are essential for expanding a website's or company's presence online internationally.
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(complete question)
If you are looking to expand your company's presence online internationally, which of the following should you consider with regards to your online content?
A . Translated by an automated tool only
B Translated but also locally adapted for the audience
C Translated into the native language
D Left the same, and not translated
A chorus has 50 girls and 35 boys. If two are chosen at random to sing a duet, what is the probability that both will be boys? hint: you can not have the same person twice in a duet.
Probabilities are used to determine the chances of an event.
The probability that both selections are boys is 0.1667
The given parameters are:
boys= 35
girls= 50
total= 85
Since two are chosen to sing a duet, then the selection is without replacement.
So, the probability that both selections are boys is
p=boys/ total * boys-1/ total -1
This gives
p= 0.4118*0.4048
Hence, the probability that both selections are boys is 0.1667
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mia and jacob are newlyweds. when are they most vulnerable to divorce? group of answer choices within the first seven years of marriage after 30 or more years of marriage between their 8th and 12th anniversary between their 15th and 25th anniversary
They are probably vulnerable to divorce within 7 years. People make the decision to go with divorce for a variety of reasons. Finances influence many divorces, but every case is unique, and people choose to end their marriages for various pertinent and personal reasons. You know how challenging this circumstance might be if you consider getting divorced.
It's likely that you've heard of the "seven-year itch." This refers to the idea that couples frequently decide to get divorced after spending about seven years together. Nothing mystical occurs at this stage of a marriage, but there are a number of factors that may increase the likelihood that a couple will file for divorce at or near this time in their relationship.
An average couple stays together for seven years before deciding to end their relationship. Extramarital affairs frequently serve as the catalyst for divorce proceedings. The phrase "seven-year itch" refers to this situation in which one partner becomes dissatisfied in the marriage and seeks fulfillment elsewhere.
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help!!!!!!!!!!!!!explain and answer!!!!!!!
Answer:
a) 125 ml milk
b) 7.5g
Step-by-step explanation:
since 8 pancakes you need 250 ml of milk then you divide 250 by 2 since 8/2 is 4
250/2
125 ml milk
b)
We do the same as the other problem we find how much you need for 4 pancakes
5/2
2.5
Now you multiply by 3 since 4x3=12
2.5x3
7.5 g
Hopes this helps please mark brainliest
Solve for K.
F = kq
K = ____.
Answer:
K=F/q
Step-by-step explanation:
Quincy has $10 in a savings account. The interest rate is 6%, compounded annually. Write an exponential equation for the growth of the balance in her account. (1 point)
f(t) = 10(1.06)t
f(t) = 10(0.06)t
f(t) = 1.06(10)t
f(t) = 0.06(10)t
An exponential equation for the growth of the balance in her account is [tex]10(1.06)^t[/tex].
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =[tex]P(1+r/n)^rt[/tex]
We have been given that Quincy has $10 in a savings account. The interest rate is 6%, compounded annually.
The compound interest will be;
Compound Interest =[tex]P(1+r/n)^rt[/tex]
[tex]10(1+6/100)^t\\\\10(1+ 0.06)^t\\\\10(1.06)^t[/tex]
Hence, an exponential equation for the growth of the balance in her account is [tex]10(1.06)^t[/tex].
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find the missing side. round to the nearest 10th.
i need the answer to all 3, will mark brainliest
Answer:
6) x=20.64
7) x=12.423
8) x=26.5
Step-by-step explanation:
How many roots are there if the discriminant of quadratic equation is greater than zero?.
Two distinct real roots are there if the discriminant of quadratic equation is greater than zero.
What is quadratic equation ?
ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
There are two different real roots when the discriminant is higher than 0. There is just one real root when the discriminant is equal to 0. There are exactly two unique imaginary roots when the discriminant is smaller than zero, but no real roots. In this instance, there are two actual roots.
We are aware that the discriminant of a quadratic equation can be used to determine the type of roots in the equation. There will be two real and separate roots to the equation if the discriminant is bigger than zero.
There will be a real root in the equation if the discriminant is zero. The equation will only have two complex roots rather than any real roots if the discriminant is smaller than zero.
The locations where an equation's curve intersects the x-axis can be used to define an equation's roots graphically.
Therefore, the curve crosses the x-axis twice if an equation has two roots. This graph is provided by;
quadratic equation of the kind discriminant;
ax^2 + bx + c = 0 is given by D = b^2 -4ac.
If D>0, the equation has 2 real and distinct roots. They are given by
[tex]x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
If D=0, the equation has a real root, which is given by,
x = -b/2a
If D<0, the equation has complex roots.
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