Find the number N , such that when 1 ÷3
of it's added to 8 , the results is the same as when 1÷2 of it is subtracted from 18
Answer:
Step-by-step explanation:
8 + N/3 = 18 - N/2
N/3 + N/2 = 18 - 8
2N/6 + 3N/6 = 10
5N/6 = 10
N = 10(6/5)
N = 12
Answer:
N=12
Step-by-step explanation:
Set up an equation involving N
(1/3)N+8=18-(1/2)N
We want to clear the denominator to start with by multiplying everything on both side by 6
2N+48=108-3N
Move all the N's to one side and the number to the opposite
5N=60
Divide by 5
N=12
Check:
(1/3)12+8=18-(1/2)12
4+8=18-6
12=12
A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are driven for 1000 miles on each of 18 different cars. In a separate experiment, 18 cars were outfitted with tires with tread type A, and another 18 were outfitted with tires with tread type B. Each car was driven 1000 miles. The cars with tread type A averaged 23.95 mpg, with a standard deviation of 1.79 mpg. The cars with tread type B averaged 22.19 mpg, with a standard deviation of 1.95 mpg. Let μX represent the population mean mileage for tread type A and let μY represent the population mean mileage for tread type B.
Required:
Find a 99% confidence interval for the difference μXâμY. Round the answers to three decimal places.
Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).
We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.
The standard errors are given by:
[tex]s_A = \frac{1.79}{\sqrt{18}} = 0.4219[/tex]
[tex]s_B = \frac{1.95}{\sqrt{18}} = 0.4596[/tex]
For the distribution of differences, the mean and the standard error are given by:
[tex]\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76[/tex]
[tex]s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239[/tex]
The interval is given by:
[tex]\overline{x} \pm ts[/tex]
The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.
Then:
[tex]\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058[/tex]
[tex]\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462[/tex]
The 99% confidence interval for the difference is (0.058, 3.462).
For more on the t-distribution, you can check https://brainly.com/question/16162795
How do you find the mean of 46,37,34,31,29, and 24??
Answer:
To find the mean you need to add all the given numbers and then divide that by how many numbers you added. In this case, the process would look like this.
1. add all numbers
46+37+34+31+29+24 = 201
2. divide the sum (201) by the amount of numbers you added (6)
201/6 = 33.5
3. and you're done! the mean (which is basically the average) of the given numbers is 33.5
Kelly watches 3/5 of a movie in 5/8 of an hour. How much time wil it take her to watch the entire movie?
well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.
[tex]\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}[/tex]
Write a function in any form that would match the graph shown below
9514 1404 393
Answer:
f(x) = 2(x +2)^2(x -5)
Step-by-step explanation:
The root at x=-2 has even multiplicity. The curve is not flat there, so the multiplicity is 2, not higher. The root at x=5 has multiplicity 1. Then the factored form of this cubic is ...
f(x) = a(x +2)^2·(x -5)
The local minimum when a=1 is about -50, so we judge the leading coefficient to be 2. The desired function is ...
f(x) = 2(x +2)^2(x -5)
cite a real life situation that describes the concept of direct and inverse variation. create your own word problem and answer it. present your answer with table of values, graph and equation
A need a appropriate answer, thanks...
Step-by-step explanation:
An example of direct variation would be the relationship of distance with time when speed is constant.
d = stLet's assume you travel at the speed of 60 mph. The distance at 0, 0.5, 1, 2 hours would be 0, 30, 60, 120 miles.
d = 60tThis is a linear relationship and produces a graph of line.
See the graph.
--------------------
An example of inverse variation would be the time to complete the same work as number of workers increase.
t = w/p, where w is work (constant), p- number of workersAssume 5 workers complete wok in 20 days, 10 workers do same in 10 days, 20 workers do in 5 days.
t = 100/pThis relationship produces a curved line.
See the graph.
A recipe calls for 1 1/8 cups of flower for every 3/4 cup of sugar used. How many cups of flour are needed for each cup of sugar used?
A 1 1/2
B 1 5/27
C 27/32
D 3/4
Answer: A
You could put this in a ratio of flour to sugar 9/8 : 3/4. If we need to find out how many cups of flour are required for each cup of sugar, then we’ll need to divide both sides by 3/4 to get to 1 cup of sugar so that we can find how many cups of flour are required for this amount. The flour is 9/8 cups which then gets divided by 3/4 and is 1/2 so this is our answer.
An oil company estimates that only 1 well in 20 will yield commercial quantities of oil. Assume that successful drilled wells represent independent events. If 5 wells are drilled, find the probability of obtaining a commercially successful well for the following number of times. (Round your answer to six decimal places.) exactly 1
If the Owen family has a child in two years, how much can they expect to spend, per year, to raise the child from its birth to when it is five years old?
Answer: A. 65,250+139,560= 204,810. 204,810/18=11,378
I hope it is right
Answer:
The answer would be 13,050
Step-by-step explanation:
In order to get the answer, you have to do 65,250 divided by 5 years and you should get 13,050 on your calculator.
PLEASEE HELPP I WILL GIVE BRAINLIEST
Answer:
p=0.4
Step-by-step explanation:
6(p+2.25)=15.9
6p+13.5=15.9
6p=2.4
p=0.4
Find the volume of a coffee can with r=7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.
Answer:
V = 2968.8 cm³ or 2969 cm³
Step-by-step explanation:
Given the radius, r = 7.5 cm, of a cylindrical coffee can whose height, h = 16.8 cm:
We can find the volume of a cylinder by using the following formula:
V = πr²h
Substitute the given values into the formula:
r = 7.5 cm
h = 16.8 cm
V = πr²h
V = π(7.5)²(16.8)
V = π × 56.25 × 16.8
V = 2968.8 cm³ or 2969 cm³
Therefore, the volume of a coffee can is 2969 cm³.
One thousand dollars is deposited into an ordinary annuity after each 6 month period for 2 years. The account pays 4 percent interest compounded semiannually.what is the future value of the account in 2 years ??
Answer:
$4121.61
Step-by-step explanation:
Use the formula for the balance of an ordinary annuity.
A = P((1 +r/n)^(nt) -1)/(r/n)
A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61
The future value of the account is $4121.61.
Please help answer this question picture is including
Answer:
B.15
Step-by-step explanation:
The answer is 15 because we can identify this shape as a quadrilateral kite
So, we know that a quadrilateral kite has two pairs of congruent adjacent sides
Therefore AB = AC and BD = DC
If the value of a=2,y=3,find the value of x in ax/y=10
[tex]\dfrac{ax}y =10\\\\\implies \dfrac{2x}{3} = 10\\\\\implies 2x = 30\\\\\implies x = \dfrac{30}2 = 15[/tex]
Answer:
x = 15
Step-by-step explanation:
[Given] ax/y=10
[Rewrite] [tex]\frac{ax}{y} =10[/tex]
[Plug-in] [tex]\frac{(2)x}{(3)} =10[/tex]
[Simplify] [tex]\frac{2x}{3} =10[/tex]
[Multiply both sides by 3] 2x = 30
[Divide both sides by 2] x = 15
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Relatively Simple Math, pls lend a hand. All my points and Brainliest
If 15 points is 13 cents how much would 5000 be?
Answer: at least 50 dollars
Step-by-step explanation:
Step-by-step explanation:
15 points ⇒ 13 cents5000 points ⇒ xCross-multiply to find x:
x = 5000*13/15x = 4333 cents or $43.33How to expand
5(2m)^3
help me w differentiation
Answer:
4 better inbox
Step-by-step explanation:
make the subject x of the formula y = 7x + 4
Answer:
[tex]x = \frac{y - 4}{7}[/tex]
Step-by-step explanation:
[tex]y = 7x + 4 \\\\y - 4 = 7x\\\\\frac{y - 4}{7} = \frac{7x}{7}\\ \\ \frac{y - 4}{7} = x[/tex]
Question 8 of 10
The blue segment below is a radius of 0. What is the length of the diameter
of the circle?
A. 6.35 units
B. 25.4 units
o
12.7
C. 19.05 units
OD. 12.7 units
Step-by-step explanation:
the diameter is 2 times the radius.
so,
12.7×2 = 25.4
so, B is right.
How many ⅖ are in 1½
Answer:
3 (remainder 3)
Step-by-step explanation:
At Cheng's Bike Rentals, it costs $24 to rent a bike for 5 hours. How many dollars does it cost per hour of bike use?
Answer: $4.80
Step-by-step explanation:
24/5 = 4.8
$4.80
Find the first partial derivatives of the function.
z = (6x + 2y)^9
dz/dx=
dz/dy=
If z = (6x + 2y)⁹, then the partial derivatives of z are
• with respect to x :
∂z/∂x = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂x
∂z/∂x = 9 (6x + 2y)⁸ • 6
∂z/∂x = 54 (6x + 2y)⁸
• with respect to y :
∂z/∂y = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂y
∂z/∂y = 9 (6x + 2y)⁸ • 2
∂z/∂y = 18 (6x + 2y)⁸
Debra wants to rent a boat and spend at most $44. The boat costs $8 per hour, and Debra has a discount coupon for S4 off. What are the possibile numbers of
hours Debra could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
t ≤ 6
Step-by-step explanation:
8t - 4 ≤ 44
I hope this helps!
Find the sum or difference. Enter the answer as a fraction, using the slash ()
as the fraction bar.
2/15+5/15
Answer:
7/15
Step-by-step explanation:
2/15 + 5/15 = 7/15
Hoped this helped.
Write the equation in point slope form of the perpendicular bisector of A(5,-8) and b(-3,1) 
Answer:
chu papi
Step-by-step explanation:
Pythagoras theorem
Please answer will mark BRAINELIST :)
Answer:
Step-by-step explanation:
Since we are to show by Pythagoras that the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.
For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.
Length of the square is 5cm.
Recall Pythagoras theorem: it states that
the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides
= +
= 25 + 25
= 50
Take the square root of both sides , that is
D =
D = X , since 50 = 25 x 2
D = 5
D ≈ 7.07
Solve ^3/x^2-8=2 pls help
Answer:
its the first one
Step-by-step explanation:
Choose the end behavior of the graph of each polynomial function
Answer:
D, A, B
Step-by-step explanation:
The sign of the leading coefficient always tells you the end behavior on the right: positive = rises; negative = falls.
The degree of the polynomial tells you how the left- and right-end behaviors compare: even = they are the same; odd = they are opposites.
__
A) negative leading coefficient, even degree:
falls to the left, falls to the right (D)__
B) positive leading coefficient, odd degree:
falls to the left, rises to the right (A)__
C) negative leading coefficient, odd degree
rises to the left, falls to the right (B)can someone help me with this question
well, since each bar is parallel to the adjacent one, so if A || B || C || D || E || F, then A || F.
now, for the angles, Check the picture below.
