Answer:
for 10 people she makes 35$
for 20 people she makes 55$
for 30 people she makes 75$
and for 40 people she makes 95$
Step-by-step explanation:
just plug the number of people (10, 20, 30, 40) into the x in the equation.
17. A cereal company fills every box with 48 ounces of cereal. The company allows
each box of cereal to be within a tolerance of 0.5 ounces. What is an expression
for the actual weight of the boxes?
Answer:
47.5 ≤ 48 ≥ 48.5
Step-by-step explanation:
Answer:
47.5 < x < 48.5
Step-by-step explanation:
A box can have more than 47.5 ounces and less than 48.5 ounces.
47.5 < x < 48.5
The principle of superposition is a useful technique in developing solutions to differential equations after an initial solution is derived. In developing such solutions it is often convenient to consider separately the response of a system to initial conditions with all forcing function inputs equal to zero, and, secondly, the response to the forcing function with all initial conditions equal to zero. Consider the following differential equation:
dy/dt + ay= bus(t)
with y(c)=0
a. Determine the solution y_i(t) to the equation for nonzero, finite values of a and c, and for b = 0.
b. Determine the solution y_u(t) of the equation for nonzero, finite values of a and b, and for c = 0.
Answer:
A) [tex]y_{i}(t) = C.e^{-at}[/tex]
B) [tex]y_{u}(t) = - \frac{b}{a} e^{-at} + \frac{b}{a}[/tex] t > s
Step-by-step explanation:
Attached below is a detailed solution of the given problem
Given equation:
dy/dt + ay = [tex]bu_{s}(t)[/tex] with Y(c) = 0
A) Determine the solution [tex]Y_{i}(t)[/tex]
[tex]y_{i}(t) = C.e^{-at}[/tex]
B) Determine the solution [tex]Y_{u} (t)[/tex]
[tex]y_{u}(t) = - \frac{b}{a} e^{-at} + \frac{b}{a}[/tex]
Anyone can help me with this
Given:
The data values are
11, 12, 10, 7, 9, 18
To find:
The median, lowest value, greatest value, lower quartile, upper quartile, interquartile range.
Solution:
We have,
11, 12, 10, 7, 9, 18
Arrange the data values in ascending order.
7, 9, 10, 11, 12, 18
Divide the data in two equal parts.
(7, 9, 10), (11, 12, 18)
Divide each parenthesis in 2 equal parts.
(7), 9, (10), (11), 12, (18)
Now,
Median = [tex]\dfrac{10+11}{2}[/tex]
= [tex]\dfrac{21}{2}[/tex]
= [tex]10.5[/tex]
Lowest value = 7
Greatest value = 18
Lower quartile = 9
Upper quartile = 12
Interquartile range (IQR) = Upper quartile - Lower quartile
= 12 - 9
= 3
Therefore, median is 10.5, lowest value is 7, greatest value is 18, lower quartile 9, upper quartile 12 and interquartile range is 3.
PLEASE HELP FAST
2. Which of the following is the difference of two squares?
49m2 + 81n?
9a? - 466
99
36h
2x2 – 6y?
You are considering purchasing either a medium or a large pizza.
Medium Pizza
12-inch diameter
Large Pizza
14-inch diameter
How much greater, in square inches, is the area of the large pizza than the
medium pizza? Select the best answer below.
The number of measles cases decreases by 9 percent to 508 cases. What was the number of cases before the decrease
Answer:
558
Step-by-step explanation:
The original number of cases of measles was x.
x was 100% of the number of cases of measles.
The number of cases then went down by 9%.
100% - 9% = 91%
The number of cases now is 91% of the original number, or 91% of x. We are told the number now is 508, so 91% of x must equal 508.
91% of x = 508
0.91x = 508
x = 508/0.91
x = 558.241...
Answer: 558
A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
A. y=4x
B. y=4x+1/4
C. y=1/4x+4
D. y=1/4x
Answer:
i think it is a but i am not shore. Hope this helps
Step-by-step explanation:
It is given that y =x^2. If x is increased by 10%, find the percentage change in y.
Answer:
Step-by-step explanation:
y = x^2
X increased by 10% = 1.10x
(1.10x)^2 = 1.21x^2
y increases by 21%
Which expression is equivalent to
(a*b*c) f(вазь) (20°) ,
4a°ь123
Зас7
65
14
9ac
b3
0
12ас 14
63
9ас?
b5
Answer:
the answer is C, here is an app or website that u could use for math :)
a snail on her trip from a pumpkin patch to a strawberry field. one hour and 36 minutes later a turtles leaves the pumpkin patch for the strawberry field and arrives at the same time as the snail the distance between the pumpkin patch and the strawberry field is 52m find the speed of the snail if it is 32 meters per hour less than the speed of the turtle.
Answer:
20 mph
Step-by-step explanation:
anyway this was my equation
8/15+52/x=52/x-96
x=156, convert that into hours, which is 2.6, 52/x, which is speed for snail is = 20
I know you're in RSM because I am too. If you need help, asking your teacher is better because they will explain it better.
The speed of the snail is 20 meter per hour
SpeedSpeed is the ratio of total distance travelled to total time taken. It is given by:
Speed = distance/ time
Let a represent the speed of the the turtle and b the speed of the snail. Hence:
b = a - 32 (1)
Also:
b = 52 / t
t = 52/b
a = 52 / (t + 1.6)
a(t + 1.6) = 52
t = (52 + 1.6a) / a
52/b = 52/a + 1.6
a = 52 meter per hour, b = 20 meter per hour
The speed of the snail is 20 meter per hour
Find out more on Speed at: https://brainly.com/question/4931057
Asking for a friend please help
Answer:
=1/15
Step-by-step explanation:
..
There is a 15% off sale on a
PlayStation 5. If the original
cost is $700, what is the
sale price of the
PlayStation?
Answer:
$595
Step-by-step explanation:
what's the correct answer please
A mite measures 0.00091 of a meter long. Which of the following correctly represents this in Scientific Notation?
9.1x10^4
9.1x10^-4
9.1x10^3
9.1x10^-3
Answer:
9.1x- 10000
9.1 x 10^-4
Step-by-step explanation:
b
Find an equation of a line with slope -4 and y-intercept 9. y =
Answer:
Y= -4X+9
Step-by-step explanation:
solve the equation by the help of the standard equation Y = MX + C
where M is the slope and C is the Y intercept
at a garage sale a large bin full of DVDs and CDs are being sold.all the DVDs and all the CDs are the same price. Aaliyah bought two DVDs for six dollars and the four CDs for eight dollars. Her friend lynn wants to buy four DVDs and two CDs. How much will Lynn have to pay Aaliyah‘s brother Pierre wants to spend $20 on DVDs and CDs what combination of DVDs and CDs could he buy
Answer:
Step-by-step explanation:
$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD
a DVD costs $3
a CD costs $2
Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.
Pierre bought d DVDs and c CDs for $20.
d is 0, 2, 4, or 6
c = (20-3d)/2
(d,c) = (0,10), (2,7), (4,4), or (6,1)
1525 hours denotes 3:25 pm
it will be
10 hours
and 52 mintues
Answer:
15:25 is the same as 3:25 pm.
Step-by-step explanation:
In military time, they use 24 hour clock, instead of a 12 hour one. So instead of changing to 1 after 12, continue counting regularly, so the 15th hour would be the same as the 3rd hour in the pm.
Name the following segment or point.
Given:
L, M, N are midpoints
Р
M
A
R
N
B
altitude to AC
segment BT
O segment AS
segment BL
Answer:
should be segment BT, that's what i put and it was right. hope this helps
Step-by-step explanation:
The altitude to the line segment AC is line segment BL.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, L, M, N are midpoints.
We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.
By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.
learn more about the altitude of a triangle here :
https://brainly.com/question/17020135
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The management team of a company with 10,000 employees is considering installing charging stations for electric cars in the company parking lots. In a random sample of 500 employees, 15 reported owning an electric car. What is a 99 percent confidence interval for the proportion of all employees at the company who own an electric car?
Answer:
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
In a random sample of 500 employees, 15 reported owning an electric car.
This means that [tex]n = 500, \pi = \frac{15}{500} = 0.03[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 - 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0104[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.03 + 2.575\sqrt{\frac{0.03*0.97}{500}} = 0.0496[/tex]
The 99 percent confidence interval for the proportion of all employees at the company who own an electric car is (0.0104, 0.0496).
You can find the standard mean error and then use that to find the confidence interval limits.
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
The confidence interval is (0.0104, 0.0496) (can include those end points too)
How to find the confidence interval for proportions?Let the sample size be n
Let the interested quantities in the sample be present x times
Let the confidence level be of p%.
Then the level of significance is given by [tex]\alpha = 1 - p/100[/tex]
The standard mean error is calculated by:
[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}[/tex]
Then the confidence interval limits can be found by
[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)[/tex]
Using above formula for finding the confidence intervalWe have n = 500, x = 15 and [tex]\alpha = 1 - 0.99 = 0.01[/tex]
Finding the standard mean error:
[tex]SME = \sqrt{\dfrac{x(n-x)}{n^3}}\\\\SME = \sqrt{\dfrac{15 \times 485}{500^3}} \approx 0.00763[/tex]
From the z tables, at [tex]\alpha/2 = 0.01/2 = 0.005[/tex], we get z = 2.5758
Thus, the confidence interval is obtained by
[tex]CI = \dfrac{x}{n} \pm Z_{\alpha/2}(SME)\\\\CI = \dfrac{15}{500} \pm 2.575 \times 0.00763\\\\CI = 0.03 \pm 0.0196[/tex]
Lower limit = 0.0104
Upper limit = 0.0496
Thus,
The 99% confidence interval for the proportion of all employees at the company who own an electric car is given by
Lower limit = 0.0104
Upper limit = 0.0496
The confidence interval is (0.0104, 0.0496) (can include those end points too)
Learn more about confidence interval here:
https://brainly.com/question/16427118
The branch manager of an outlet (Store 1) of a nationwide
chain of pet supply stores wants to study characteristics of her
customers. In particular, she decides to focus on two variables: the
amount of money spent by customers and whether the customers
own only one dog, only one cat, or more than one dog and/or cat.
The results from a sample of 70 customers are as follows:
Amount of money spent: X = +21.34, S = +9.22.
Thirty-seven customers own only a dog.
Twenty-six customers own only a cat.
Seven customers own more than one dog and/or cat.
Construct a 95% confidence interval estimate for the
population mean amount spent in the pet supply store.
Construct a 90% confidence interval estimate for the population proportion of customers who own only a cat.
The branch manager of another outlet (Store 2) wishes to conduct
a similar survey in his store. The manager does not have access to
the information generated by the manager of Store 1. Answer the
following questions:
c. What sample size is needed to have 95% confidence of
estimating the population mean amount spent in this store
to within { +1.50 if the standard deviation is estimated to
be $10?
d. How many customers need to be selected to have 90% confidence of estimating the population proportion of customers who own only a cat to within {0.045?
e. Based on your answers to (c) and (d), how large a sample should the manager take?
Answer:
1. ( 19.1416, 23.5384,)
2. (0.276348, 0.46651)
3. the sample size = 170.73 approximately 171
4. sample size = 334.07 approximately 334
5. sample of 334 should be taken by manager
Step-by-step explanation:
mean = bar x = 21.34 dollars
size of sample n = 70
standard deviation of sample = 9.22
we use t distribution as the population standard deviation is not known.
95% Confidence interval
1-α = 0.95
α = 0.05
degree of freedom = 70-1 = 69
α/2 = 0.025
using the t distribution tsble,
= 1.9949
confidence interval = [tex]21.34+-1.9949*[\frac{9.22}{sqrt(70)}] \\[/tex]
= 21.34 +- (1.9949*1.10200)
= 21.34 + 2.1984, 21.34 - 2.1984
= (23.5384, 19.1416)
the confidence interval of the mean amount spent at the supply store can be written as 19.1416<u<23.5384
2. sixe of those who only have a cat
p = 26/70 = 0.371429
at 90 % confidence interval,
1-α = 0.90
α = 0.10
we use the z table here
z(0.10/2) = Z(0.05)
= 1.645
[tex]0.371429+-1.645\sqrt} \frac{0.371429(1-0.371429)}{70}[/tex]
= 0.371429 +-( 1.645 x 0.0578)
= 0.371429 + 0.095081, 0.371429 - 0.095081
= (0.276348, 0.46651)
3. sd = 10$
margin of erro,r e = 1.50$
α = 0.05
using z table
α/2 = Z0.025
= 1.96
sample size = 1.96² * 10² / 1.50²
= 3.8416 * 100/ 2.25
= 170.73
the sample size is approximately 171
d. we have 0.5 as sample proportion now
margin of error = 0.045
α = 0.10
Zα/2 = 0.05
= 1.645
sample size = 1.645²x0.5(1-0.5) / 0.045²
= 0.676506/0.002025
= 334. 07
sample size = 334
5. sample of 334 should be taken by manager
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
The change in y over the change in x between points is the slope. 53-29 over 3-2 is the slope. 24/1 is 24. You need the equation in y=mc+b form. b is the y intercept. (0, -19) is the point from the table containing the y int.. b=-19. Plug 24 and -19 into mc+b. To get y=24x-19
Someone plz helpppp
A chemistry teacher needs to mix a 40% salt solution with a 70% salt solution to make 25 qt of a 52% salt solution. How many quarts of each solution should the teacher mix to get the
desired result?
40% salt solution=?qt
70% salt solution=?qt
Answer:
Step-by-step explanation:
We assume we need x qt of 40% and y qt of 70%
40/100 x + 70/100 y = 52/100 (x+y)
So 3y = 2x, which means y = 2/3x
And we know that x + y = 25qt
So x + 2/3x = 25qt
So x = 15 and y = 10
1. Which numerical expression has the value of 60?
4. (12+ 4) 3 b. 12 - 14 - 3) c.** 12 + 3)
d. 12 - 4-3
Answer:
sorry but I can't really tell if any of them have 60 it kind of looks like none of them have 60 unless theres a bit multiplying then maybe I can help but other wise right no sorry
2. el valor absoluto, el valor relativo y el porcentaje en los siguientes datos:
1) Al tomar 3,5 m como longitud de un terreno que mide realmente 3,59 m.
2) Al considerar 60 Calcula m como la distancia entre dos postes que están situados a 59,91 m.
3) En la medida de 1 m se ha cometido un error de 1 mm, y en 300 Km, 300 m. ¿Qué error relativo es mayor?
4) Como medida de un radio de 7 dm hemos obtenido 70.7 cm. Calcula el error absoluto y el relativo.
5) Al medir la distancia entre dos pueblos, sabemos que el valor real es de 5,478 Km.
a) Aproxima la distancia hasta las décimas por redondeo.
b) Calcula el error absoluto cometido en ambos casos.
c) Calcula el error relativo cometido en ambos casos.
d) Justifica, de acuerdo con los resultados anteriores, qué aproximación es mejor
esto es de fisica
àaaaaaaaaaaaass la verdad no se
-1=5+x/6 how do you solve the equation?
Jocelyn boils 24 eggs. From experience, she knows that the shell of any given during the boiling process. If shells crack independently, what is the probability the boiling process with a cracked shell? Round to 2 decimal places.
Answer:
.62
Step-by-step explanation:
Keep it nice and simple.
Answer:
.62
Step-by-step explanation:
MONTRESOR: My dear Fortunato, you are luckily met. How remarkably well you are looking to-day! But I have received a pipe of what passes for Amontillado, and I have my doubts.
FORTUNATO: How? Amontillado? A pipe? Impossible! And in the middle of the carnival!
MONTRESOR: I have my doubts, and I was silly enough to pay the full Amontillado price without consulting you in the matter. You were not to be found, and I was fearful of losing a bargain.
FORTUNATO: Amontillado!
MONTRESOR: I have my doubts.
FORTUNATO: Amontillado!
MONTRESOR: And I must satisfy them.
FORTUNATO: Amontillado!
MONTRESOR: As you are engaged, I am on my way to Luchesi. If any one has a critical turn, it is he. He will tell me—
FORTUNATO: Luchesi cannot tell Amontillado from Sherry.
MONTRESOR: And yet some fools will have it that his taste is a match for your own.
FORTUNATO: Come, let us go.
MONTRESOR: Whither?
FORTUNATO: To your vaults.
Answer:
Montresor is luring Fortunato to a trap.
Step-by-step explanation:
Montresor is luring Fortunato to a trap that Montresor has prepared in his own basement.
In the story by Edgar Allen Poe, Montresor (the narrator) tells the reader that Fortunato has horribly insulted Montresor and Montresor will get revenge.
What is equivalent to 1/3(x9x + 12) + 4x + 6
Answer:
1/3(9x+12)+4x+6=x
We move all terms to the left:
1/3(9x+12)+4x+6-(x)=0
Domain of the equation: 3(9x+12)!=0
x∈R
We add all the numbers together, and all the variables
3x+1/3(9x+12)+6=0
We multiply all the terms by the denominator
3x*3(9x+12)+6*3(9x+12)+1=0
Wy multiply elements
9x^2(9+18x(9+1=0
Step-by-step explanation:
if Lauren robed (22+34) bread from the bread factory how much bread would she have.
Answer:
22 + 34 = 56
Step-by-step explanation:
um you just add
Answer:
56 bread
Step-by-step explanation:
22 + 34 = 56
How do I solve for w?
Answer:
w = 8
Step-by-step explanation:
Based on the altitude theorem of a right triangle, we have:
w + 4 = √(24*6)
w + 4 = √144
w + 4 = 12
w + 4 - 4 = 12 - 4
w = 8
Use the distributive property to multiply. Simplify your Answer.[tex](3y + 5)(3y^{2} +2y-6)[/tex]