In any circle of radius R, how many arcs with lengths R fit into the circumference?
Answers
If we take the radius of a circle be R. Then, we can define that,
$ R = x $
Hence,
Arcs will be as $ 4x $. As,
A circle can be divided into four parts according to the radius.
Hence, we know that,
[tex]x \times 4[/tex]
[tex] \mapsto \: 4x[/tex]
Hence, according to the radius R, a circle can have 4 arcs.Related Questions
How many pounds of grain is it necessary to grind to get exactly 100 lb of flour, is the payment for the work is 10% of the ground flour? (Assume there are no loses after grinding.)
Answers
Answer:
111.1111... lbs
x -.1x = 100
.9x = 100
x = 100/.9 = 111.1111
Step-by-step explanation:
Identify the two types of incorrect decisions in a hypothesis test. For each incorrect decision, what symbol is used to represent the probability of making that type of error?
Answers
Answer:
Type I error and Type II error
Explanation:
Type I and Type II errors are statistical errors made in hypothesis testing where an accepted hypothesis is actually the false hypothesis and the other true.
Type I error occurs when the chosen hypothesis is the alternative hypothesis which is false since the null hypothesis is true. We reject the null hypothesis which is actually true.
Type II error occurs when we accept or fail to reject the null hypothesis which is false and reject the alternative hypothesis which is true.
The probability of making a Type I error is represented by your alpha level (α)(we reject when below p-value)
The probability of a type-II error is represented by β which is beta.
Find the minimum and maximum value of the function on the given interval by comparing values at the critical points and endpoints.
y= √1+x^2 −2x, [0, 1]
Answers
Answer:
maximum: y = 1
minimum: y = 0.
Step-by-step explanation:
Here we have the function:
y = f(x) = √(1 + x^2 - 2x)
we want to find the minimum and maximum in the segment [0, 1]
First, we evaluate in the endpoints, which are 0 and 1.
f(0) =√(1 + 0^2 - 2*0) = 1
f(1) = √(1 + 1^2 - 2*1) = 0
Now let's look at the critical points (the zeros of the first derivate)
To derivate our function, we can use the chain rule:
f(x) = h(g(x))
then
f'(x) = h'(g(x))*g(x)
Here we can define:
h(x) = √x
g(x) = 1 + x^2 - 2x
Then:
f(x) = h(g(x))
f'(x) = 1/2*( 1 + x^2 - 2x)*(2x - 2)
f'(x) = (1 + x^2 - 2x)*(x - 1)
f'(x) = x^3 - 3x^2 + x - 1
this function does not have any zero in the segment [0, 1] (you can look it in the image below)
Thus, the function does not have critical points in the segment.
Then the maximum and minimum are given by the endpoints.
The maximum is 1 (when x = 0)
the minimum is 0 (when x = 1)
Find a fraction equivalent to
that has a denominator of 10.
Answers
Answer:
1/10
Step-by-step explanation:
any number (1-9) as the number above the fraction line (numerator) with the number 10 below the fraction line is a fraction with a denominator of 10.
if it was 10/10, it will = 1
So for this problem I have completed most of it however, I am just missing the last box. Can someone help me on the last box please? Thank you for your help!
Answers
Let X be the random variable representing the weight of a randomly selected widget. You're given that the mean and standard deviation of X (which is normally distributed) are 41 oz and 11 oz, respectively.
Then
Pr[X > 19] = Pr[(X - 41)/11 > (19 - 41)/11] = Pr[Z > -2]
where Z follows the standard normal distribution with mean 0 and s.d. 1.
I assume you're familiar with the 68-95-99.7 rule, the important part of which says that approximately 95% of any normal distribution lies within 2 standard deviations of the mean. Mathematically, this is to say
Pr[-2σ < X < 2σ] ≈ 0.95
where σ is the s.d. of X, or in terms of Z,
Pr[-2 < Z < 2] ≈ 0.95
This means that roughly 5% of the distribution falls outside this range:
Pr[(Z < -2) or (Z > 2)] = 1 - Pr[-2 < Z < 2] ≈ 0.05
and because the distribution is symmetric about its mean, the probability of falling within either tail of the distribution is half of this, or roughly 2.5%
Pr[Z < -2] ≈ 0.05/2 ≈ 0.025
Then the probability of the complement is
Pr[Z > -2] = 1 - Pr[Z < -2] ≈ 1 - 0.025 ≈ 0.975
so that Pr[X > 19] ≈ 97.5%.
(3.5 x 10 ^ -4) ÷ (5 x 10 ^ 5) in standard form
Answers
Answer:
0.7 x 10 ^ -9
Step-by-step explanation:
(3.5 x 10 ^ -4) ÷ (5 x 10 ^ 5)
3.5 / 5 x 10 ^ -4/ 10 ^ 5
=> 0.7 x 10 ^ -9
The number of bacteria in a second study is modeled by the function b_2(t)=800(1.6)^t.
What is the growth rate, r, for this equation?
Answers
Answer:
1.6 = 1 + .6 = 60% growth rate
Step-by-step explanation:
20,30,13,10,14,10,10,?,?,?
Answers
Answer:
10,13,14,20,30................
An investment analyst takes a random sample of 100 aggressive equity funds and calculates the average beta as 1.7. The sample betas have a standard deviation of 0.4. Using a 95% confidence interval and a z-statistic, which of the following statements about the confidence interval and its interpretation is most likely accurate? The analyst can be confident at the 95% level that the interval:
A) 1.580 to 1.820 includes the mean of the population beta.
B) 1.622 to 1.778 includes the mean of the population beta.
C) 1.634 to 1.766 includes the mean of the population beta.
Answers
Answer:
B) 1.622 to 1.778 includes the mean of the population beta.
Step-by-step explanation:
We have the standard deviation for the sample, so the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9842
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9842\frac{0.4}{\sqrt{100}} = 0.078[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.7 - 0.078 = 1.622.
The upper end of the interval is the sample mean added to M. So it is 1.7 + 0.078 = 1.778.
Thus the correct answer is given by option B.
Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semester. What is the probability that more than 3 students will have their automobiles stolen during the current semeste
Answers
Answer:
0.91824 = 91.824% probability that more than 3 students will have their automobiles stolen during the current semester.
Step-by-step explanation:
We have only the mean, which means that the Poisson distribution is used to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semester.
This means that [tex]\mu = 7[/tex]
What is the probability that more than 3 students will have their automobiles stolen during the current semester?
This is:
[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]
In which
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-7}*7^{0}}{(0)!} = 0.00091[/tex]
[tex]P(X = 1) = \frac{e^{-7}*7^{1}}{(1)!} = 0.00638[/tex]
[tex]P(X = 2) = \frac{e^{-7}*7^{2}}{(2)!} = 0.02234[/tex]
[tex]P(X = 3) = \frac{e^{-7}*7^{3}}{(3)!} = 0.05213[/tex]
Then
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.00091 + 0.00638 + 0.02234 + 0.05213 = 0.08176 [/tex]
[tex]P(X > 3) = 1 - P(X \leq 3) = 1 - 0.08176 = 0.91824[/tex]
0.91824 = 91.824% probability that more than 3 students will have their automobiles stolen during the current semester.
In one year, profit fell from $1.73 billion to $1.18 billion. What was the percent decrease in profit?
Answers
Answer:
31.7919075 % decrease
Step-by-step explanation:
To find the percent decrease
Take the original amount and subtract the new amount
1.73 billion - 1.18 billion =.55 billion
Divide by the original amount
.55 billion / 1.73 billion
.317919075
Change to percent form
31.7919075 % decrease
Find the value of x that will make A||B
Answers
Answer:
x = 4
Step-by-step explanation:
If A is parallel to B, therefore,
9x + 4 = 5x + 20 (alternate interior angles are congruent)
9x + 4 - 5x = 5x + 20 - 5x (subtraction property of equality)
4x + 4 = 20
4x + 4 - 4 = 20 - 4 (subtraction property of equality)
4x = 16
4x/4 = 16/4 (division property of equality)
x = 4
Write in words 127075
Answers
Answer:
one lakh twenty seven thousand and seventy five
I hope this will help you
20 POINTS please explain well
Answers
The difference of course is the symbol between the f and g letters.
The circle [tex]\circ[/tex] notation means we're doing a function composition.
Writing [tex](f \circ g)(x)[/tex] is the same as saying [tex]f(g(x))[/tex] where g is the inner function.
Here's an example
f(x) = x^2
g(x) = 3x
f( g(x) ) = ( g(x) )^2 ... note how x is replaced with g(x)
f( g(x) ) = ( 3x )^2
f( g(x) ) = 9x^2
-------------------
On the other hand, the dot notation means we multiply the f(x) and g(x) functions.
Going back to the previous example, we could say
[tex]f(x) = x^2\\\\g(x) = 3x\\\\(f \cdot g)(x) = f(x)*g(x)\\\\(f \cdot g)(x) = x^2*3x\\\\(f \cdot g)(x) = 3x^3\\\\[/tex]
What is the range of this graph ?
Answers
Answer:
D. 6
Step-by-step explanation:
Range of any data set is the difference between the maximum value and the minimum value.
From the graph given above, the least data value plotted on the graph is 1.
Minimum value = 1
The maximum data value = 7
The range of the data set = max - min
Range = 7 - 1
Range = 6
which statement is true about the y- intercept of a quadratic function
a. a quadratic function can only have one y - intercept
b. a quadratic function can have up to two y-intercepts
c. the y-intercepts is also called a zero of the function
d. the y-intercept is located at the point where the value is y is 0
Answers
Answer:
A. a quadratic function can only have one y-intercep
a. a quadratic function can only have one y - intercept
Find the y-intercept from the line passing through (1, 3) and having slope m=2.
Answers
Answer:
The y intercept is 1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Substitute the point into the equation and solve for y
3 = 2(1)+b
3 =2+b
1 = b
The y intercept is 1
Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.
Assume that the Poisson distribution applies to the number of births at a particular hospital during a randomly selected day. Assume that the mean number of births per day at this hospital is 13.4224. Find the probability that in a day, there will be at least 1 birth.
Answers
Answer:
0.9999985 = 99.99985% probability that in a day, there will be at least 1 birth.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Assume that the mean number of births per day at this hospital is 13.4224.
This means that [tex]\mu = 13.4224[/tex]
Find the probability that in a day, there will be at least 1 birth.
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-13.4224}*13.4224^{0}}{(0)!} = 0.0000015[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000015 = 0.9999985 [/tex]
0.9999985 = 99.99985% probability that in a day, there will be at least 1 birth.
What is the scale factor of the dilation?
PLEASE BE CORRECT
Answers
Because
Notice the horizontal side of the red triangle is 2 times that of the blue triangle. Therefore the dilation factor is 2
I could be wrong
Based on experience, the Ball Corporation’s aluminum can manufacturing facility in Ft. Atkinson, Wisconsin, knows that the metal thickness of incoming shipments has a mean of 0.2935 mm with a standard deviation of 0.000924 mm.
(a) A certain shipment has a diameter of 0.2963. Find the standardized z-score for this shipment.
Answers
Answer:
Step-by-step explanation:
the formula attached
The average price of a laptop is $965. Assume laptop prices are approximately normally distributed with a standard
deviation of $100. The least expensive 10% of laptops cost less than what amount?
• Use a TI-83, TI-83 plus, or TI-84 calculator, and round your answer to two decimal places,
Answers
Answer:
$836.8
Step-by-step explanation:
Average price = mean = $965
Standard deviation, = $100
Given that distribution is approximately normal ;
The least expensive 10% of the laptops :
We Obtain the Zscore that corresponds to P(Z ≤ 0.1) ; this means the least 10% of the laptops ;
From, a normal probability distribution table ;
P(Z ≤ 0.1) = - 1.282
We substitute this into the Zscore formula :
Zscore = (x - mean ) / standard deviation
x = price
-1.282 = (x - 965) / 100
-128.2 = (x - 965)
x = - 128.2 + 965
x = $836.8
Hence, price is $836.8
If 3^2x+1 =3^x+5, what is the value of x?
Answers
Answer:
x = 4
Step-by-step explanation:
[tex]3^{2x+1} = 3^{x+5}[/tex]
if the bases are equal then the powers must be equal as well
2x+ 1 = x+5 export like terms to same side of equation
2x - x = 5 - 1 add/subtract like terms
x = 4
Frank sold 6,859 books in one year and 8,541 books in the next year. How many books did she sell altogether?
Answers
Answer:
15400 books
Step-by-step explanation:
in the first year he sold =6859 books
in the second year he sold =8541 books
therefore, to find the book he sold altogether
6859+8541
= 15400 books altogether
Answer:
15400 books altogether.
Explanation:
Books sold in 1st year: 6859
Books sold in 2nd year: 8541
Total books sold:
6859 + 8541 = 15400.
PLz help!!
What is the degree of the polynomial
Answers
Answer:
3 maybe I'm just guessing.
now thats room for an answer again: yeah, 3 is right. its the x³ that defines the degree, its just the biggest power.
If you multiply x + 3 by 2x + 5, what will the coefficient of x be?
Answers
Answer:
Answer: 2x^2+11x+15 Coefficient of x is 11 and coefficient of x^2 is 2.
Step-by-step explanation:
(x+3)×(2x+5)=?
Use FOIL Method Foil stands for First Outer Inner Last
Step 1: (x×2x) =2x^2 Multiply First Terms together (x and 2x)
Step 2: (x×5) =5x Multiply Outer terms together (x and 5)
Step 3: (3×2x) =6x Multiply Inner terms together (3 and 2x)
Step 4: (3×5) =15 Multiply Last terms together (3 and 5)
2x^2+5x+6x+15 Combine Like Terms
Answer: 2x^2+11x+15
A number is chosen at random from 1 to 50. What is the probability of selecting
multiples of 10.
Answers
Answer: 25
Step-by-step explanation:
Find the equation for the line that passes through the points
(5,−8)and (−3,1).
Answers
Answer:
y=-9/8x-19/8
Step-by-step explanation:
HELP ASAP PLEASE!!!!!!!!
Answers
Answer:
1
Step-by-step explanation:
1 : 1 :sqrt(2)
The legs are in the ratio of 1 to 1
tan 45 = opp side / adj side
tan 45 = 1/1
tan 45 =1
Answer:
Step-by-step explanation:
Find 356*27+537*373-235*73=
Answers
Answer:
Using PEMDAS the answer would be 192758
Step-by-step explanation:
(356*27)+(537*373)-(235*73)=
9612+200301-17155=
Solve
192758
Happy learning!
--Applepi101
Out of a pool of 234 people with lottery tickets,
120 of them are women, and out of those 120,
65 are older than 23, and out of those 65, 12 are
married. What is the probability that the lottery
winner will be a married woman older than 23?
Answers
Answer:
2/39
Step-by-step explanation:
You will end up with 12/234
You can simplify it by 6
And then you get 2/39
