I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?
Answers
Answer:
[tex]\sqrt{13}[/tex] = 3.605551275......
Step-by-step explanation:
[tex]\sqrt{13}[/tex]
3.6
3 [tex]\sqrt{13}[/tex]
-9
36[tex]\sqrt{4}[/tex]00
do you need to know more... ??
9514 1404 393
Answer:
√13 ≈ 3.60555127546
"by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38
Step-by-step explanation:
Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.
Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.
__
Method 1 -- Linear approximation
You can approximate it by hand in the following way.
√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...
3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6
This is a linear interpolation between √9 and √16.
_____
Method 2 -- Babylonian method
The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.
x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175
x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places
One more iteration will double the number of correct decimal digits.
x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915
(correct digits are highlighted)
_____
Method 3 -- "long division"
There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.
_____
Method 4 -- continued fraction
Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:
3 +x = √13 . . . . . . where x is the fractional part of the root
(3 +x)² = 13 . . . . . . square both sides
x² +6x +9 = 13 . . . expand the square
x(x +6) = 4 . . . . . . . subtract 9 and factor
x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)
At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...
p/q = 4/(6 +p/q) = 4q/(6q +p)
That is, successive approximations of x can be had by the transformation ...
(p, q) ⇒ (4q, 6q+p)
Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...
(p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)
At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.
__
* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.
Related Questions
If y’all could help on this one that would be great, no rush I have a week to turn in just make sure it’s correct and explains it I will give 50 points, thank you :)
Answers
Q (2,-3) R (4,-3)
ANSWER
-1,-1 is P
-4, -3 is R
-2, -3 is Q
I think this is the answer hope it helps :)
Write the inequality for the description. Use x as your variable.
Mary has at least 14 pairs of shoes in her closet.
Answers
Answer:
x≤14
Step-by-step explanation:
≤ = greater than/equal to(at least)
Select the correct comparison
Answers
Answer:
b
Step-by-step explanation:
Please help me
10 + 963 = ?
Answers
Answer:
hi
Step-by-step explanation:
10+963=973
have a nice day
Answer:
10+963= 973
Step-by-step explanation:
Answer 973
i hope this help
What is the slope between (-4, 0) and (0, 2)?
Answers
Answer:0.5
Step-by-step explanation: y = 0.5x + 2
You want to buy a pet rabbit that costs $49. You already have $18 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.
Answers
Answer:
You would need $31 so W=4 and you would have $5 left
Step-by-step explanation:
i did 49 minus 18 which gave me 31 so 9c3 would be 27 so i did 9 times 4 would =36 and if you work for 6 weeks you would have 54 and add 18 to it and you would have $72
sorry if im wrong or late
Need help please and thank you
Answers
Answer:
B is your answer
Step-by-step explanation:
there is none but GOOD LUCK
Help me out
Answer required
Answers
Answer:
a. rational
b. irrational
c. irrational
d. rational
e. rational
f. rational
plz mark me as brainliest
[tex] 1)\displaystyle{} \: \sqrt{4} = \sqrt{2 \times 2} = \sqrt{2} \\ \: \: \: \bold{irrational \: number}[/tex]
[tex]2) \displaystyle{} \: \sqrt{3} = \bold{irrational \: number}[/tex]
[tex] \sqrt{7} \: \: = \bold{irrational \: number}[/tex]
[tex] 3) \: \: \displaystyle \frac{3}{5} \bold{irrational \: number}[/tex]
[tex] \displaystyle \: \frac{3}{5} \: \bold{rational \: number}[/tex]
[tex] \displaystyle{}\frac{1}{4} \bold{rational \: number}[/tex]
[tex] \displaystyle{} \: - 2.57 \: \bold{rational \: number}[/tex]
Note - if digit have root ( radical sign ) so number is irrational but digit have do not radical sign so number is rational.
round off all answer in to two decimal places A=p(1+in) Steven won a portion of the local lottery.the price money is to the value of R18000.he wants to invest the money but does not know which bank to choose. FNB offers Steven 5,6/% for 8 years simple interest per annum, Nedbank offers Steven 6,6% for 6 years simple interest per annum and standard bank offers 7,2% for 5 years simple interest determine each bank future value to help Steven decide which bank he should choose FNB NEDBANK STANDARD BANK
Answers
Answer:
FNB bank
Step-by-step explanation:
FNB = 18000 * 0.056* 8 = 8064
Nedbank = 18000*0.066* 6 = 7128
Standard = 18000*0.072*5=6480
FNB is the best choice for Steven
Multiply (2-5i)(2+5i)
Answers
Answer:
29
Step-by-step explanation:
4 - 25i^2
4 - 25x(-1)
4 + 25 = 29
the ^2 means exponent 2
1. What is your daily income if you earn $10.75/h as a camp counsellor and you work
10 hours per day?
Answers
Your daily income is $107.5.
5g ∙ 7h in standard form
Answers
9514 1404 393
Answer:
35gh
Step-by-step explanation:
The standard form has one coefficient, and generally has the variables in lexicographical order.
35gh
Each month, 8 magazines arrive at Sydney's home. Write an equation that would show the number of motnths (n) it took for Sydney to receive 56 magazines.
btw this is multiple choice so this is the choices
A. 56n=8
B.n+8=56
C.8n=56
D.56-n=8
help me asap
Answers
Since 8 magazines are areiving each month (n) and the total is 56, all you have to do is multiply 8 by n and you get 56, the actual answer would be 7 though.
Answer:
C.8n=56
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
3,4,6
Acute
Obtuse
Right
Answers
for each of the following find the missing sides
Answers
Answer:
the missing side is 90 because is a right triangle
someone please help me answer this!!!
Answers
Answer:
15 using the Pythagorean theorem.
hope it helps, plz mark me as brainliest.
Answer:
15 units is the answer.
Step-by-step explanation:
points are (-3,-4) and (6,8)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-3))^2 + (8-(-4))^2}\\\\d=\sqrt{(9)^2+(12)^2} \\\\d=\sqrt{81+144} \\\\d=\sqrt{225} \\\\d=15[/tex]
∴ d = 15 units is the distance between the points.
Which triangles are similar to triangle ABC ?
Answers
Answer:
The answer is A
Step-by-step explanation:
Triangle DEF was rotated and dilated so that's why is looks different than triangle ABC, but it maintained the same shape that is presented in ABC and that is why A is the answer.
The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?
Answers
=x^2 +2x + 4x + 8
=x^2 + 6x + 8
the other factor is (x + 2)
Walmart is selling
school supplies: 5
notebooks only cost
$4.02! How much
would znotebooks
cost? What about 7
notebooks?
Plz help! :)
Answers
Answer:
2 notebooks are $2.48, 7 notebooks are $8.68
Step-by-step explanation:
Unit rate is 1.24
1.24x2= $2.48
1.24x7= $8.68
100 Points for this
This series of transformations is performed on a quadrilateral:
a dilation by a factor of 4 with the origin as the center of dilation
a reflection across the y-axis
a 90° counterclockwise rotation about the origin
a translation 3 units down
Arrange the functions representing these transformations in the order in which the transformations occur.
(The tiles are)
f(x, y) = (-4x, 4y)
g(x, y) = (4x, -4y)
h(x, y) = (4x, 4y)
i(x, y) = (4y, 4x − 3)
j(x, y) = (4y, 4x)
k(x, y) = (-4y, -4x)
l(x, y) = (-4y, -4x − 3)
Answers
Answer:
l(x,y) = (-4y, -4x - 3)Step-by-step explanation:
Let's start with function (x, y)
Transformations in the given order result in following
A dilation by a factor of 4 with the origin as the center of dilation
This results in both coordinates multiplied by 4(x, y) → (4x, 4y)A reflection across the y-axis
This results in x-coordinate changing sign to opposite(4x, 4y) → (-4x, 4y)A 90° counterclockwise rotation about the origin
This results in x-coordinate swapping with negative y-coordinate (-4x, 4y) → (-4y, -4x)A translation 3 units down
This results in y-coordinate change by -3(-4y, -4x) → (-4y, 4x - 3)The final function is:
l(x) = (-4y, -4x - 3)Answer:
l(x) = (-4y, -4x - 3)
I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(
1. A company has a cash portfolio measured in millions. The drift is 0.1 per month, variance is 0.16per month. The initial cash is 2.0. a) Find the probability distribution after 6 months and after 1 year. b) Find the probability of a negative cash position at the end of 6 months and the end of 1 year. c) At what time in the future is the probability of a negative distribution greatest.
Answers
Answer:
Step-by-step explanation:
From the information given:
The probability distribution at the end of 6 months is determined as follows:
After 6 months;
Mean of probability distribution = value of Initial cash + [tex]\alpha[/tex]T
=2.0 +(0.1 × 6)
=2.6
After 6 months;
The probability distribution's standard deviation is estimated by using the following formula:
Standard deviation:
[tex]= b\sqrt{T}[/tex]
[tex]= 0.4 \times \sqrt{6}[/tex]
= 0.9798
Hence, after 6 months;
The company's cash position is supposed to be allocated monthly, with the following expenses.
Mean 2.6
Standard deviation 0.9798
Variance 0.96
After 12 months, the probability distribution is as follows:
Mean = value of Initial cash + [tex]\alpha[/tex]T
= 2.0 +(0.1 × 12)
= 3.2
The standard deviation is:
The standard deviation of probability distribution = [tex]b \sqrt{T}[/tex]
[tex]= 0.4 \times \sqrt{12}[/tex]
= 1.3856
Hence, after 6 months;
The company's cash position is supposed to be allocated monthly, with the following expenses.
Mean 3.2
Sandard deviation 1.3856
Variance 1.92
b)
in 6-month distribution, the probability of the negative value of the cash position is as follows.
Now, for us to find the negative cash distribution;
We need to estimate the z -scores value.
The z-score inform us greatly on the concept of how far a particular data point is from the mean.
For a normal distribution;
[tex]z = \dfrac{x-\mu}{\sigma}[/tex]
Here;
the value of x = zero as a result that if it exceeds zero. the cash position will be negative.
∴
[tex]z = \dfrac{x-\mu}{\sigma}[/tex]
[tex]z = \dfrac{0 - 2.6}{0.9798}[/tex]
[tex]z = -2.6536[/tex]
Using the standard distribution tables, it is now possible to calculate that the likelihood N(-2.65) equals 0.004 or 0.4 percent.
As a result, there's a 0.4 percent chance of getting a negative cash balance after six months.
For 12 months distribution:
The Probability of negative cash position is calculated as follows:
[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-3.2}{1.3856} \\ \\ z = -2.3094[/tex]
Using the standard distribution tables,
N(-2.31) equals 0.0104 or 1.04 percent.
As a result, there's a 1.04 percent chance of getting a negative cash balance after 1 year
c) To determine the time period over which the likelihood of achieving a negative cash condition is highest, it's necessary to examine the z-score more closely. Essentially, the z-score measures the difference between a given value(x) and the mean of all potential values [tex](\mu)[/tex], expressed in terms of the total set's standard deviation [tex](\sigma)[/tex]
This suggests that the higher the z-score, the greater the difference occurring between x and [tex]\mu[/tex], and thus the likelihood of receiving x is minimal. As a result, the best chance of finding a certain value is when the z-score is the lowest.
To do so, calculate the derivative of the z-score in relation to the time interval. The point where the derivative is equivalent to zero is where the z-scores are at their lowest.
The first step is to go over the z-score formula in more detail, as seen below.;
[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-(initial \ value + \alpha T)}{b \sqrt{T}} \\ \\ z = \dfrac{-initial \ value }{b\sqrt{T}}-\dfrac{a \sqrt{T}}{b} \\ \\[/tex]
Now, compute the derivative of this equation with respect to T as follows:
[tex]\dfrac{dz}{dT}= \dfrac{initial \ value \times T^{-\dfrac{3}{2}}}{2b} - \dfrac{aT^{-\dfrac{1}{2}}}{2b}[/tex]
Now, figure out the value of T at which this derivative is equal to zero by substituting all values as follows:
[tex]0 = \dfrac{2.0 \times T^{-\dfrac{3}{2}}}{2\times 0.4}- \dfrac{0.1 \times T^{-\dfrac{1}{2}}}{2 \times 0.4} \\ \\ \\ 0.1 \times T^{-\dfrac{1}{2}}= 2.0 \times T^{-\dfrac{3}{2}} \\ \\ \\T = \dfrac{2}{0.1} \\ \\ \\ T = 20[/tex]
As a result, the time period in which achieving a negative cash condition is = 20 months.
Please help me with the question
Answers
Answer:
area = 84 m²
Step-by-step explanation:
area = (1/2)(4)(3)(2) + (5)(6) + (6)(3) + (4)(6) = 84 m²
Which product is greater than 63
Answers
Answer:
3/2 times 63
Step-by-step explanation: took quiz
..Find the missing number?
Answers
Answer:
The missing number would be 17
Step-by-step explanation:
Answer: I think it’s 7
Step-by-step explanation:
Which NCAA college basketball conference has the higher probability of having a team play in a college basketball's national championship game? Over the last 20 years, the Atlantic Coast Conference (ACC) ranks first by having a team in the championship game 10 times. The Southeastern Conference (SEC) ranks second by having a team in the championship game 8 times. However, both conferences have had teams in the championship game only one time, when Arkansas (SEC) beat Duke (ACC) 76–70 in 1994 (NCAA website, April 2009). Use these data to estimate the following probabilities.
a. What is the probability the ACC will have a team in the championship game?
b. What is the probability the SEC will have team in the championship game?
c. What is the probability the ACC and SEC will both have teams in the championship game?
d. What is the probability at least one team from these two conferences will be in the championship game? That is, what is the probability a team from the ACC or SEC will play in the championship game?
e. What is the probability that the championship game will not a have team from one of these two conferences?
Answers
Answer:
A)P(ACC has a team in the championship game) = 0.5
B)P(SEC has a team in the championship game) = 0.4
C)P(both ACC & SEC having teams in the championship games) = 0.05
D)P(ACC or SEC) = 0.85
E)P(not ACC or SEC) = 0.15
Step-by-step explanation:
A) We are told that in the last 20 years, ACC has had a team in the championship game for 10 times.
Thus;
P(ACC has a team in the championship game) = 10/20 = 0.5
B) SEC has a team in the championship game 8 times in the last 20 years;
Thus;
P(SEC has a team in the championship game) = 8/20 = 0.4
C) since both ACC and SEC have had teams in the championship game for the past 20 years, then;
P(both ACC & SEC having teams in the championship games) = 1/20 = 0.05
D) Addition rule of probability is that;
P(A or B) = P(A) + P(B) - P(A & B)
Applying it to this question, we have;
P(ACC or SEC) = P(ACC) + P(SEC) - P(ACC & SEC)
Plugging in the relevant values, we have;
P(ACC or SEC) = 0.5 + 0.4 - 0.05
P(ACC or SEC) = 0.85
E) from complement rule, we can find the probability that the championship game will not a have team from one of these two conferences.
Thus;
P(ACC not SEC) = 1 - P(ACC or SEC)
P(ACC not SEC) = 1 - 0.85
P(ACC not SEC) = 0.15
ITS DUE TODAY PLS HELP
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square inches
The volume of the ball is approximately
cubic Inches
Answers
Answer:
i. The surface area of the ball is approximately 28.0 square inches.
ii. The volume of the ball is approximately 14.0 cubic inches.
Step-by-step explanation:
The ball has the shape of a sphere, so that;
C = 2[tex]\pi[/tex]r
9.4 = 2 x [tex]\frac{22}{7}[/tex] x r
65.8 = 44r
r = [tex]\frac{65.8}{44}[/tex]
r = 1.50 inches
The radius of the ball is 1.50 inches.
i. Surface area of a sphere = 4[tex]\pi[/tex][tex]r^{2}[/tex]
So that,
surface area of the ball = 4 x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{2}[/tex]
= 28.2857
The surface area of the ball is approximately 28.0 square inches.
ii. Volume of the ball = Volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
Volume of the ball = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]
= 14.1429
The volume of the ball is approximately 14.0 cubic inches.
Which sign makes this number sentence true?
|866| __ |-866|
A. >
B. <
C. =
D. +
Answers
Answer:
>
Step-by-step explanation:
Answer:
c for me
Step-by-step explanation:
hope that helps you
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3950 grams and a standard deviation of 374 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4473 grams. Round your answer to four decimal places.
Answers
Answer:
0.9192 = 91.92% probability that the weight will be less than 4473 grams.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean weight of 3950 grams and a standard deviation of 374 grams.
This means that [tex]\mu = 3950, \sigma = 374[/tex]
Find the probability that the weight will be less than 4473 grams.
This is the pvalue of Z when X = 4473. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4473 - 3950}{374}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a pvalue of 0.9192
0.9192 = 91.92% probability that the weight will be less than 4473 grams.
id really appreciate it if someone helped me , i’ll give you brainliest
Answers
Answer: it’s the same 110 degrees
Step-by-step explanation:
Answer: 110 is the correct answer
