Answer:
A sample size greater than 30
Step-by-step explanation: The central limit theorem proffers the conditions necessary to obtain a normal or bell shaped distribution. It defines normal distribution in terms of mean, standard deviation and sample size. The sample size is a very important factor in determining the shape of a distribution.
Thus with a population having mean and standard deviation stated, in other to make use of or assume normal distribution, the sample size must be large. According tho the central limit theorem, a size of greater than 30 is deemed to be large enough. As the Same size increases, the sample mean converges to the value of the population mean.
what is the weight shown by the arrow?
Answer:
550
Step-by-step explanation:
: The population of birds on an island is estimated to increase by 10% every year.
The population of birds on the island is 20000.
Calculate an estimate for the population of birds in three years time.
Answer:
26620
Step-by-step explanation:
20,000 x 10% is 2000 = 22000
22,000 x 10% is 2200 = 24200
24200 x 10% is 2420 = 26620
Answer:
22,000
Step-by-step explanation:
equations is total amount = amount x (multiplier)^years
step one: 100+10 over 100 = 1.1 which the multiplier
step two : substitute 20,000 X(1.1)^3
3 because of how may years
and step three enter on calculator and get 22,000 as the answer
The ascent can be modeled by a different proportional relationship y=kx. What is the value of k in this case?
Write your answer as a simplified fraction
Answer: the the answer
35814/3600
You estimate that a puppy weighs 12 pounds. The actual weight of the puppy is 14 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.
Answer:
The Estimated weight of the puppy = 12 pounds
Actual weight of the puppy = 14 pounds
Difference in estimated weight and actual weight = 14 - 12
= 2 pounds
⇒ [(14 - 12)*100]/14
⇒ (2*100)/14
⇒ 200/14
⇒ 14.285 %
I REALLY NEED HELP :(
When the expression 102021 − 2021 is evaluated, the result is a very large number.
You probably do not have enough time to perform the calculation. So, in an
effort to save you some time and paper, instead of evaluating the expression
102021 − 2021, determine the sum of the digits in the difference.
Answer:
100,000
Step-by-step explanation:
Which part of this graph shows a nonlinear relationship?
Answer:
B. 2
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Linear means in a straight line, and 2 is not in a straight line
Find the x-intercept and y-intercept of the line.
- 8x+ 5y = 18
Write your answers as exact values. Do not write your answers as ordered pairs.
x-intercept:
Y-Intercept:
How do i find the inverse of a function?
Answer:
the inverse of something is a fraction
Step-by-step explanation:
If you wanna inverse something from a number do 5 = 1/5
If u wanna do fraction to a number 1/5=5
and if you have a term it would just be that term like x if you were to inverse 5x = x
what equation matches this situation.mai biked x miles han biked 2/3 more than that
Answer:
i need more information like how much mai biked
Step-by-step explanation:
7. Mrs. Bauer and her family went to dinner. Their dinner bill was $56.50 before tax and tip. An 8% sales tax needs to be applied and then they decided to leave a 15% tip. What is their total bill after the tax and then tip is applied?
Answer:
it will be 56
Step-by-step explanation:
maney because I am 9nyears old
Answer:
it will be 56
Step-by-step explanation:
Need help please its Calculus. Ill give the 5 stars as well.
Answer:
[tex]\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of OperationsEquality PropertiesAlgebra I
FunctionsFunction NotationExponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Algebra II
Natural logarithms ln and Euler's number eCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Slope Fields
Separation of VariablesSolving DifferentialsIntegrals
AntiderivativesIntegration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
Logarithmic Integration: [tex]\displaystyle \int {\frac{1}{u}} \, dx = ln|u| + C[/tex]
Step-by-step explanation:
*Note:
When solving differential equations in slope fields, disregard the integration constant C for variable y.
Step 1: Define
[tex]\displaystyle \frac{dy}{dx} = x^2(y - 1)[/tex]
[tex]\displaystyle f(0) = 3[/tex]
Step 2: Rewrite
Separation of Variables. Get differential equation to a form where we can integrate both sides and rewrite Leibniz Notation.
[Separation of Variables] Rewrite Leibniz Notation: [tex]\displaystyle dy = x^2(y - 1) \ dx[/tex][Separation of Variables] Isolate y's together: [tex]\displaystyle \frac{1}{y - 1} \ dy = x^2 \ dx[/tex]Step 3: Find General Solution Pt. 1
[Differential] Integrate both sides: [tex]\displaystyle \int {\frac{1}{y - 1}} \, dy = \int {x^2} \, dx[/tex][dx Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle \int {\frac{1}{y - 1}} \, dy = \frac{x^3}{3} + C[/tex]Step 4: Find General Solution Pt. 2
Identify variables for u-substitution for dy.
Set: [tex]\displaystyle u = y - 1[/tex]Differentiate [Basic Power Rule]: [tex]\displaystyle du = dy[/tex]Step 5: Find General Solution Pt. 3
[dy Integral] U-Substitution: [tex]\displaystyle \int {\frac{1}{u}} \, du = \frac{x^3}{3} + C[/tex][dy Integral] Integrate [Logarithmic Integration]: [tex]\displaystyle ln|u| = \frac{x^3}{3} + C[/tex][Equality Property] e both sides: [tex]\displaystyle e^\bigg{ln|u|} = e^\bigg{\frac{x^3}{3} + C}[/tex]Simplify: [tex]\displaystyle |u| = Ce^\bigg{\frac{x^3}{3}}[/tex]Rewrite: [tex]\displaystyle u = \pm Ce^\bigg{\frac{x^3}{3}}[/tex]Back-Substitute: [tex]\displaystyle y - 1 = \pm Ce^\bigg{\frac{x^3}{3}}[/tex][Equality Property] Isolate y: [tex]\displaystyle y = \pm Ce^\bigg{\frac{x^3}{3}} + 1[/tex]General Form: [tex]\displaystyle y = \pm Ce^\bigg{\frac{x^3}{3}} + 1[/tex]
Step 6: Find Particular Solution
Substitute in function values [General Form]: [tex]\displaystyle 3 = \pm Ce^\bigg{\frac{0^3}{3}} + 1[/tex]Simplify: [tex]\displaystyle 3 = \pm C + 1[/tex][Equality Property] Isolate C: [tex]\displaystyle 2 = \pm C[/tex]Rewrite: [tex]\displaystyle C = 2[/tex]Substitute in C [General Form]: [tex]\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1[/tex]∴ our particular solution is [tex]\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1[/tex].
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentials and Slope Fields
Book: College Calculus 10e
does anybody know this answer I'm just checking the (answer asap)
Answer:
you are right
Step-by-step explanation:
C=d*pi
a. for d/C, it would be d/C=1/pi
c. for pi/C, it would be pi/C=1/d
d. for pi/d, it would be I don't wanna do, but it doesn't matter cause it's wrong
therefore, C/d=pi
is correct
Can y’all help me on these plzz I’ll mark Brainly!!!!!!!
Answer:
its d for number 1
Step-by-step explanation:
Help what do I divide it with to get the answer
Answer:
2.95, 2.25 and 2.016
Step-by-step explanation:
A recipe for sparkling water calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice how much sparkling water will you need to mix 9 quarts of grape juice
Answer: 18 quarts
Step-by-step explanation:
Quantity of sparkling water and gape juice are used in proportion in the recipe.
Let x= quantity of sparkling water when 9 quarts of grape juice is used.
Then,
[tex]\dfrac{x}{9}=\dfrac{1\dfrac12}{\dfrac34}\\\\\Rightarrow\ =\dfrac{x}{9}=\dfrac{\dfrac32}{\dfrac34}\\\\\Rightarrow\ \dfrac{x}{9}=\dfrac{4}{2}\\\\\Rightarrow\ x= 2\times9\\\\\Rightarrow\ x=18[/tex]
Hence, 18 quarts of sparkling water is required to mix with 9 quarts of grape juice.
please answer the question
Answer:
It is B
Step-by-step explanation:
If you multiply 35 with the number on the left of the chart, it gives the exact number, thus it is correct
A 56 inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
The shorter piece is ___inches long.
Answer:
Piece A: 42 inches
Piece B: 14 inches
Step-by-step explanation:
If the pipe is 56 inches long and divided into 2 parts with a 3;1 ratio, then you would divide 56 by 4 (3;1->3+1) to get 14. 14 would be the smaller piece, then you'd multiply 14 by 3 to get 42 inches because theres 3 parts for the larger piece in the ratio of 3;1. :) the explanation is probably really weird but the answer should be correct anyways
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. How many milliliters are in 1 quart?
Determine the value of the variable from the image below
Answer:
29
Step-by-step explanation:
32+28+30 is 90 degrees which is a right angle
Are the fractions equivalent?
Answer:
7. no
8.yes
9.yes
10.no
I hope this helps!
Answer:
7. no
8. yes
9. yes
10. no
Step-by-step explanation:
Does this graph represent a proportional relationship?
Explain.
help me and I will give u brain..................
Convert from Standard Form to Slope-Intercept Form.
2x + 5y = 40
pls help
Answer: y = -2/5x +8
Step-by-step explanation:
5y = -2x + 40 (subtract 2x from both sides)y = -2/5x + 40/5 (divide both sides by 5)y = -2/5x + 8 (simplify)Two step equation with the solution of 5 ..
Answer:
2 times 7, 14-9
Step-by-step explanation:
2 times 7 = 14
14-9=5
Calculate the slope of the line.Please help!!
An ice cream shop uses 6 bananas to make 4 identical sundaes. How many bananas are used in each sundae?
Answer: 1.5 bananas per sundae
Step-by-step explanation:
There was a total of 6 bananas used in making 4 sundaes.
To find the number of bananas used per sundae, you should divide the number of bananas by the number of sundaes.
= No. of bananas / No. of sundaes
= 6 / 4
= 1.5 bananas per sundae
Vx+5=x-1
What are all the values of x that make the equation true?
O A. -1 only
B. 3 only
C. 4 only
D. -2 and 3
O E. -1 and 4
Which of the following is equal to the expression listed below?
45 + 18
A. (9 +5)(9+2)
B. 9+ (5 x 2)
C. (9 x 5)(9 x 2)
D. 9(5+2)
Answer:
Step-by-step explanation:
9(5 + 2)
the answer is D
can someone help me with these questions (jimmy if u see this u can help too)
Answers:
Line of best fit: b = 0.40n+30 The average cost of each extra call is 40 cents.Pete pays 43.60 dollars in a month when he makes 34 calls.Please read the disclaimer below.
=============================================
Explanation:
Disclaimer: The issue is that without the coordinate values, it's impossible to determine the regression line. It's not clear where some (or most) of the red points are located. Often that's why a table is needed. I would ask your teacher for clarification.
With that said, I'll still give it a shot.
---------------
Part 1
The blue regression line appears to go through the two points (0,30) and (50,50). Let's find the slope through this line
m = (y2-y1)/(x2-x1)
m = (50-30)/(50-0)
m = 20/50
m = 0.40
The y intercept is b = 30 since the blue line appears to cross the y axis at this location.
So y = mx+b turns into y = 0.40x+30
Replace x with n and replace y with b
We go from y = 0.40x+30 to b = 0.40n+30 which is the regression line.
Again this is all based on the assumptions that the blue line goes through (0,30) and (50,50).
---------------
Part 2
Assuming we have the correct regression equation, we can immediately see that each extra call costs $0.40 which is the same as 40 cents. So it's 40 cents per call. This is the slope value, which is the rate of change. Each time n goes up by 1, b goes up by 0.40
Because the regression line estimates the actual observed values, we won't always land on a red point. But the goal is to get as close as possible.
----------------
Part 3
Again assuming we have the correct regression equation, we plug in n = 34 and evaluate to determine the bill
b = 0.40*n + 30
b = 0.40*34 + 30
b = 43.60
Pete would pay $43.60 if he made 34 calls.
answer as soon as possible please !
Answer:
60
Step-by-step explanation:
4/3 = x/45
45/3=15
15*4=60
x=60