Answer:
median is the middle value
mean is the average
mode is the one that occurs most
range is the highest number - lowest number
please calculate this limit
please help me
Answer:
We want to find:
[tex]\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n}[/tex]
Here we can use Stirling's approximation, which says that for large values of n, we get:
[tex]n! = \sqrt{2*\pi*n} *(\frac{n}{e} )^n[/tex]
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
[tex]\lim_{n \to \infty} \frac{\sqrt[n]{n!} }{n} = \lim_{n \to \infty} \frac{\sqrt[n]{\sqrt{2*\pi*n} *(\frac{n}{e} )^n} }{n} = \lim_{n \to \infty} \frac{n}{e*n} *\sqrt[2*n]{2*\pi*n}[/tex]
Now we can just simplify this, so we get:
[tex]\lim_{n \to \infty} \frac{1}{e} *\sqrt[2*n]{2*\pi*n} \\[/tex]
And we can rewrite it as:
[tex]\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n}[/tex]
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus:
[tex]\lim_{n \to \infty} \frac{1}{e} *(2*\pi*n)^{1/2n} = \frac{1}{e}*1 = \frac{1}{e}[/tex]
Linda is doing car wash with her teammates to collect money for their trip. They can
get $12 for the car that they wash. In order to start their work, they spent $155 to buy
supplies needed for the work.
Part A:
Create a function f(c) to represent the profit that they make for washing c cars.
f(c) =
(b)
Part B:
Use the function rule that you created on Part A to find the value of f '(145)
f-? (145)
9514 1404 393
Answer:
(a) f(c) = 12c -155
(b) f⁻¹(145) = 25
Step-by-step explanation:
(a) Profit is the difference between revenue (12c) and cost (155). The profit function is ...
f(c) = 12c -155
__
(b) The number of cars Linda's team must wash to achieve a profit of $145 is found from ...
145 = 12c -155
300 = 12c . . . . . . add 155
25 = c . . . . . . . . . divide by 12
f⁻¹(145) = 25 . . . . the team must wash 25 cars for a profit of $145
The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 30n. What does this equation tell us?
Answer:
30 plus 70 equals 100
Step-by-step explanation:
it tells the gum explicit equation
Bạn dự định một năm nữa kể từ hôm nay, bạn sẽ mở một tài khoản tiết kiệm 100 triệu đồng với lãi suất niêm yết của ngân hàng là 8%/ năm
a, Nếu bạn chia tài khoản tiền gửi 100 triệu đônbf ghành 5 tài khoản tiền bằng nhau, mỗi tài khoản 20 triệu đồng để gửi vào cuối năm 1,2,3,4 và 5 thì số dư tài khoản tiền gửi của bạn sẽ là bao nhiêu vào cuối năm thứ 5, với lãi suất 8%/năm và ghép lãi hằng năm ?
Answer:
Sorry dont understand
Points O and N are midpoints of the sides of triangle DEF.
Triangle D E F is cut by line segment O N. Point O is the midpoint of side E D and point N is the midpoint of side E F. The lengths of E O and O D are 22 centimeters. The lengths of E N and N F are 30 centimeters. The length of O N is 38 centimeters. Line segments D M and M F are congruent.
What is DM?
22 cm
30 cm
38 cm
76 cm
Answer:
DM=38\ cmDM=38 cm
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
Triangles DEF and OEN are similar by AA Similarity Postulate
Remember that if two triangles are similar, then the ratio of its corresponding sides is proportional
In this problem
\frac{DE}{OE}=\frac{DF}{ON}
OE
DE
=
ON
DF
substitute the given values
\frac{44}{22}=\frac{DF}{38}
22
44
=
38
DF
2=\frac{DF}{38}2=
38
DF
DF=2(38)=76\ cmDF=2(38)=76 cm
\begin{gathered}DF=2DM\\76=2DM\\DM=38\ cm\end{gathered}
DF=2DM
76=2DM
DM=38 cm
ur welcomeee♥️♥️♥️
Answer:
C
Step-by-step explanation:
What single transformation maps AABConto AABC?
Answer:B
Step-by-step explanation: There is a mathematical way to do this , but the simplest way is just to imagine all of the transformations and choose the most reasonable one. All of the other answers are ridiculous.
Please helpppppppppppp
Answer:
It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.
Step-by-step explanation:
A. Determination of the time it takes for the object to 1000 ft.
Distance (d) = 1000 ft
Time (t) =?
t = √(d/16)
t = √(1000/16)
t = 8 s
B. Determination of how much feet an object will fall in 10 s.
Time (t) = 10 s
Distance (d) =?
t = √(d/16)
10 = √(d/16)
Take the square of both side
10² = d/16
100 = d/16
Cross multiply
d = 100 × 16
d = 1600 ft
SUMMARY
It takes _8_ s for an object to fall 1000 feet. In 10 s, an object will fall _1600_ feet.
answer only one question No 1 only
-10369
too lazy but that's the exact value
Answer:
Step-by-step explanation:
(-2)³ *(-4)² * 3⁴ = (-8) * 16 * 81
= -10368
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $10,000 and $50,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. Determine the planning value for the population standard deviation.
1. Determine how large a sample should be taken if the desired margin of error is:
a. $500
b. $200
c. $100
2. Would you recommend trying to obtain the $100 margin of error? Explain
Answer:
1) the planning value for the population standard deviation is 10,000
2)
a) Margin of error E = 500, n = 1536.64 ≈ 1537
b) Margin of error E = 200, n = 9604
c) Margin of error E = 100, n = 38416
3)
As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.
Hence, I will not recommend trying to obtain the $100 margin of error in the present case.
Step-by-step explanation:
Given the data in the question;
1) Planning Value for the population standard deviation will be;
⇒ ( 50,000 - 10,000 ) / 4
= 40,000 / 4
σ = 10,000
Hence, the planning value for the population standard deviation is 10,000
2) how large a sample should be taken if the desired margin of error is;
we know that, n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²
given that confidence level = 95%, so [tex]z_{\alpha /2[/tex] = 1.96
Now,
a) Margin of error E = 500
n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²
n = [ ( 1.96 × 10000 ) / 500 ]²
n = [ 19600 / 500 ]²
n = 1536.64 ≈ 1537
b) Margin of error E = 200
n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²
n = [ ( 1.96 × 10000 ) / 200 ]²
n = [ 19600 / 200 ]²
n = 9604
c) Margin of error E = 100
n = [ ([tex]z_{\alpha /2[/tex] × σ ) / E ]²
n = [ ( 1.96 × 10000 ) / 100 ]²
n = [ 19600 / 100 ]²
n = 38416
3) Would you recommend trying to obtain the $100 margin of error?
As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.
Hence, I will not recommend trying to obtain the $100 margin of error in the present case.
George bought a cylindrical tank for his garden but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit in. The seller told him the volume and the height, calculate the diameter of the tank using the information below
“ the volume of the tank is 300 π ft^2 and its height is 10ft
Answer:
[tex]d = 2\sqrt{30}[/tex]
Step-by-step explanation:
Given
[tex]Volume = 300\pi ft^3[/tex]
[tex]Height =10ft[/tex]
Required
The diameter
The volume of a cylinder is:
[tex]V = \pi r^2h[/tex]
So, we have:
[tex]300\pi = \pi * r^2*10[/tex]
Divide both sides by the common factors
[tex]30 = r^2[/tex]
Take square roots of both sides
[tex]r = \sqrt{30}[/tex]
The diameter is:
[tex]d=2r[/tex]
So:
[tex]d = 2* \sqrt{30}[/tex]
[tex]d = 2\sqrt{30}[/tex]
or
[tex]d = 10.95[/tex]
The exact area of a hub cap on a tire is
[tex]625\pi[/tex]
cm². What is the hub cap's radius?
Use the piecewise function below to evaluate the points f(–3), f(0), and f(–1).
{9x,x−4,x<−1x≥−1
Question 17 options:
f(–3) = –7, f(0) = –0, and f(–1) = 5
f(–3) = –27, f(0) = –4, and f(–1) = 5
f(–3) = –7, f(0) = –4, and f(–1) = –1
f(–3) = –27, f(0) = –4, and f(–1) = –5
Given:
The piecewise function is:
[tex]f(x)=\begin{cases}9x & \text{ if } x<-1 \\ x-4 & \text{ if } x\geq -1 \end{cases}[/tex]
To find:
The values of [tex]f(-3),f(0), f(-1)[/tex].
Solution:
In the given piecewise function,
[tex]f(x)=9x[/tex] for [tex]x<-1[/tex] and [tex]f(x)=x-4[/tex] for [tex]x\geq -1[/tex].
Putting [tex]x=-3[/tex] in [tex]f(x)=9x[/tex], we get
[tex]f(-3)=9(-3)[/tex]
[tex]f(-3)=27[/tex]
Putting [tex]x=0[/tex] in [tex]f(x)=x-4[/tex], we get
[tex]f(0)=0-4[/tex]
[tex]f(0)=-4[/tex]
Putting [tex]x=-1[/tex] in [tex]f(x)=x-4[/tex], we get
[tex]f(-1)=-1-4[/tex]
[tex]f(-1)=-5[/tex]
The required values are [tex]f(-3)=27,f(0)=-4,f(-1)=-5[/tex].
Therefore, the correct option is D.
What is a number divided by 3
gives a remainder of 1, divided by 4
gives a remainder of 2, divided by
5 gives a remainder of 3?
Answer:
58
Step-by-step explanation:
58/3 gives a remainder of 1
58/4 gives a remainder of 2
58/5 gives a remainder of 3
Mandy borrows $10,000 for 3 years at a 6% interest. What is the cost of the loan, or total interest?
Answer:
Interest Earned ₹ 1,800
Principal Amount ₹ 10,000
Total Value ₹ 11,800
The cost of the loan for Mandy will be $11800 and the total interest for 3 years will be $1800.
What is simple interest?Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time.
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
In another word, if the principle amount is the same in each time period then the interest will also same for every time period.
Given that
Principle amount = $ 10000
Time period = 3 years
Rate of interest = 6%
Rate of interest at the end of 1st year
10000 × 6/100 ⇒ $600
Since in simple interest rate of interest remain same so
Rate of interest for 3 years
3 × 600 = $ 1800 hence rate of interest will be $1800.
Cost of the loan = principle amount + total interest
Cost of the loan = 10000 + 1800 ⇒ $11800 will be the cost of the loan.
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please help meeeeeee
pt5
Answer:
roots and zeroes.
Explanation:
Zeroes are the solution of any polynomial equation, but when it comes to quadratic equation, we use the term, roots.
So therefore, we use the term zero, for it is a polynomial, and root, for it's a quadratic equation.
Hope you understand
Thank You
Please mark as brainliest
Answer:
see explanation
Step-by-step explanation:
The solutions of a quadratic equation are referred to as
x- intercepts, roots , zeros
please help me to do I want primeter and area of this
a) The hypotenuse of a right angled triangle is 15 cm. Taking the
perpendicular sides as x , y write the relation connecting the sides ?
b) If the area is 30 cm² find the length of its perpendicular sides ?
a) By Pythagoras theorem , h^2 is = a^2 + b^2 where a is the hypotenuse and a and b are the legs.
=) 15^2 = x^2 + y^2
That is the relation
b) area of triangle = 1/2 x height x base
=) 1/2 * x * y = 30
=) xy = 15cm
8 ? i need answers asap
Answer: SInce this is multiple choice I won't provide an explanation. The answers are B) (-1, -4) and E) (4, 6)
17
18
19
29:52
Dao receives an employee discount on the purchase of a new automobile. The automobile that he is interested in has
a sticker price of $18,560. If his discount is 18 percent, what is the price that Dao will pay?
Answer: $15219.20
Step-by-step explanation:
Based on the information given, firstly we need to calculate the discount which will be:
= 18% × $18560
= 0.18 × $18560
= $3340.80
Then, the amount that Dao will pay will be:
= Sticker price - Discount
= $18560 - $3340.80
= $15219.20
Therefore, Dao will pay $15219.20
please answer this question step by step with formula.
Sam Store orders 200 pens that list for $0.5 each, 150 pads that list for $0.7 each, and 100
pencils that list for $0.2 each. The single trade discount rate for the order is 15%. Find the net
price of the order and the amount of discount.
Answer:
Net price = $191.25
Discount Price = $33.75
Step-by-step explanation:
Cost of one pen = $0.50
Cost of 200 pen = 200 × 0.50 = $100
Cost of one pad =$0.70
Cost of 150 pads = 150 × 0.70 = $105
Cost of one pencil = $0.20
Cost of 100 pencils = $20
Total cost of the order = 100 + 105 + 20 = $225
Discount % = 15% of 225
Discount price = ( 15% × 225) = $33.75
Total amount after discount = 225 - 33.75 = $191.25
PLEASE HELP
If p(-3) = 18, how would you represent this as an ordered pair?
An ordered pair is written as (x, y)
P(-3) = 18
The -3 is the x value and the 18 is the y value
Answer: (-3,18)
You are standing in a 50 meters from a siloThe angle of elevation to the top is need to of to the at which you are standing. What is the shortest length of rope used?
Answer:
77.786 m
Step-by-step explanation:
The shortest length of the rope used cabnbe obtained using trigonometric relation :
Shortest length of the rope = hypotenus
Using the relation :
Cos θ = Adjacent / hypotenus
Adjacent = 50 ;θ = 50°
Cos 50 = 50 / hypotenus
Hypotenus = 50 / cos 50
Hypotenus = 77.786 m
Calculate the total number of pizzas that must be bought for a birthday party if
each pizza is cut into 8 slices and each 26 children invited would be given 3
slices.
Answer:
10
Step-by-step explanation:
26×3=78
78÷8=9.75
round up to 10 since you can't buy .75 of a pizza
A graph is shown below:
A graph is shown. The values on the x axis are 0, 4, 8, 12, 16, and 20. The values on the y axis are 0, 16, 32, 48, 64, and 80. Points are shown on ordered pairs 0, 64 and 4, 48 and 8, 32 and 12, 16 and 16, 0. These points are connected by a line.
What is the equation of the line in slope-intercept form?
Answer:
b
Step-by-step explanation:
The equation of the line in slope-intercept form is y= 4x+0
What is slope intercept?The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
slope m,
= y2-y1/x2-x1
= 16-0/4-0
=16/4
=4
m=4
So, the equation will be , y= 4x+0
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answer please..
help me to solve this..
Answer:
16
Step-by-step explanation:
a = 5
b = 3
a - b = 2
▪︎5 - 3 = 2
ab = 15
▪︎5(3) = 15
a^2 - b^2 = ?
5^2 = 25
3^2 = 9
25 - 9 = 16.
a^2 - b^2 = 16.
p(d + x) = 2x + 3
Which equation is correctly rewritten to solve for d?
Answer:
d = [tex]\frac{2x + 3}{p}[/tex] - x
Step-by-step explanation:
First divide both sides by p.
then subtract x from both sides
Answer:
[tex]\displaystyle d = \frac{2x + 3}{d} - x[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle p(d + x) = 2x + 3[/tex]
Step 2: Solve for d
[Division Property of Equality] Divide p on both sides: [tex]\displaystyle d + x = \frac{2x + 3}{d}[/tex][Subtraction Property of Equality] Subtract x on both sides: [tex]\displaystyle d = \frac{2x + 3}{d} - x[/tex]Below is a data set containing six observations in ascending order
33 44 51 62 71 X
Find the value of missing data value X, if the range of data is 58
========================================================
Explanation:
The observations are in ascending order, which means the set is sorted from smallest to largest.
The X is at the right-most endpoint, so X is the largest value (aka the max).
The min is 33, so,
max - min = range
X - 33 = 58
X = 58+33
X = 91 is the max
Answer:
Step-by-step explanation:
The range of the data is the highest value - the lowest value.
The lowest in the list is 33 so the highest must be 33 + 58
= 91.
A data related to air pollution in 10 U.S. cities. The dependent variable Y is the annual mean concentration of sulfur dioxide, in micrograms per cubic meter. The explanatory variable X records the number of manufacturing enterprises employing 20 or more workers. Below is Routput of the relationship between X and Y.
Coefficients: Estimate Std. Error t value Pro> tl) (Intercept) 9.4764 9.6266 0.98 0.354 2.0315 0.0070 4.51 0.CO2 ** X Signif. codes: 9 ****' 0.001 ***' 0.01 **' 0.05, 0.1' '1 Residual standard error: 17.9 on 8 degrees of freedom Multiple R-squared: 0.717, Adjusted R-squared: 0.682 F-statistic: 20.3 on 1 and 8 DF, p-value: 0.00198
a) Write the regression equation with parameters from the R output.b) Suppose that the number of manufacturing enterprises employing 20 or more workers in Irvine is 250, could you predict that the annual mean concentration of sulfur dioxide in Irvine?c) What is the residual if in Irvine the annual mean concentration of sulfur dioxide is 15 micrograms per cubic meter.d) What is the value of the correlation coefficient?e) Calculate a 95% confidence interval for the slope of the model.f) Based on the confidence interval, is there a linear relationship between X and Y?
Answer:
Y = 0.0315x + 9.4764
Residual = 2.35
Correlation Coefficient = 0.847
Step-by-step explanation:
From the R output given :
Intercept = 9.4764
Slope = 0.0315
x = number of manufacturing enterprise employing 20 or more workers
y = annual mean concentration of Sulphur dioxide
The regression equation :
y = bx + c
b = slope ; c = intercept
y = 0.0315x + 9.4764
Prediction using the regression equation :
The predicted y value, when x = 250
y = 0.0315(250) + 9.4764
y = 17.3514
The residual, if actual annual concentration = 15
Y residual = 17.35 - 15 = 2.35
The correlation Coefficient value, R
R = √R²
R = √0.717
R = 0.847
please help me please help me please help me please help me please help me please help me please
Answer:
the first one is 4 and the second one is 0
What is the value of x?
A triangle is given and a line is drawn from the vertex on the opposite side such that 2 triangles are formed. 1st triangle has 2 equal sides and vertex angle as 64 degrees and 2nd triangle has 2 equal sides and vertex angle as x degrees is given.
Answer:
116 degrees
Explanation:
If we divide the triangle from the vertex of the triangle, the vertex angle of each triangle would lie on a straight line in the triangle. Angle on a straight line is 180 degrees.
If the vertex angle of one triangle is 64 degrees then the vertex angle x of the other triangle is 180 degrees - 64 degrees = 116 degrees.