Answer:
1 5/6 gallons
Step-by-step explanation:
1. 5 1/2 = 11/2 gallons
2. She uses: 1/3 x 11/2 = 11/6 gallons
3. so: 11/6 = 1 5/6 gallons
I'M MARIE!!!
A committee of six is to be chosen randomly from 50 people, 20 of whom support Party X and 30 support Party Y. What is the probability that the majority of the committee will be Party Y supporters
Ok to choose a committee of six people and the probability that it will be majority of the party supporters.
Probabilty= 30C6/50C6
Probability= 593775/15890700
Probabilty= 0.037
0.38, 1.52)
3
4
Over which interval does the growth rate of the exponential function continue to exceed the growth rate of the linear
function?
x = 0 to x= 3
x = 0 to x= 1.79
x=0.38 to x = 1.79
x= 1.79 to x - 3
Mark this and return
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Answer:
The best correct option is C
x = 1.79 to x = 3
Step-by-step explanation:
Making the sport off all little thing that crowed. They are still grouped into 7. Option C is theost appropriate.
Answer:
An exponential function and a linear function are graphed below
Over which interval does the growth rate of the exponential function continue to exceed the growth rate of the linear function?
a) x=0 to x=3
b) x=0 to x=1.79
c) x=0.38 to x= 1.79
d) x= 1.79 to x=3 <<<<<<< correct answer
Step-by-step explanation:
EDGE 2021
According to Eurostat, 55.2% of households in Italy have one child, the highest percentage in the Euro zone. A random sample of 160 Italian households was selected. The standard error of the proportion is ________.
Answer:
0.04
Step-by-step explanation:
In this case we must use the following formula to be able to find the standard error, which would be the square root, of the probability for its complement divided by the population:
SE= [tex]\sqrt{\frac{p *(1-p)}{n} } \\[/tex]
Now, knowing that p = 0.552 and n = 160 we replace and we are left with:
SE = [tex]\sqrt{\frac{0.552 *(1-0.552)}{160} } \\[/tex]
SE = [tex]\sqrt{0.00154}[/tex]
SE = 0.039
Which means that the standard error of the proportion is 0.04
Determine whether the equation is exact. If it is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e Superscript t Baseline )dy equals 0et(7y−3t)dy2+7et dy=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
[tex]F(t,y)=(2+7e^t)y+3(1-t)e^t +C[/tex]
Step-by-step explanation:
You have the following differential equation:
[tex]e^t(7y-3t)dt+(2+7e^t)dy=0[/tex]
This equation can be written as:
[tex]Mdt+Ndy=0[/tex]
where
[tex]M=e^t(7y-3t)\\\\N=(2+7e^t)[/tex]
If the differential equation is exact, it is necessary the following:
[tex]\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}[/tex]
Then, you evaluate the partial derivatives:
[tex]\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}[/tex]
The partial derivatives are equal, then, the differential equation is exact.
In order to obtain the solution of the equation you first integrate M or N:
[tex]F(t,y)=\int N \partial y = (2 +7e^t)y+g(t)[/tex] (1)
Next, you derive the last equation respect to t:
[tex]\frac{\partial F(t,y)}{\partial t}=7ye^t+g'(t)[/tex]
however, the last derivative must be equal to M. From there you can calculate g(t):
[tex]\frac{\partial F(t,y)}{\partial t}=M=(7y-3t)e^t=7ye^t+g'(t)\\\\g'(t)=-3te^t\\\\g(t)=-3\int te^tdt=-3[te^t-\int e^tdt]=-3[te^t-e^t][/tex]
Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:
[tex]F(t,y)=(2+7e^t)y+3(1-t)e^t +C[/tex]
where C is the constant of integration
A total of 4.8 percent of the prime time viewing audience watched shows on ABC, 6.7 percent watched shows on CBS, 5.2 percent on Fox, 5.8 percent on NBC, 1.7 percent on Warner Brothers, and 1.9 percent on UPN. A total of 73.9 percent of the audience watched shows on other cable networks, such as CNN and ESPN. What will be the prime time viewing percentage of the pie chart for the following data? (Only consider the viewers watching non-cable news.) (Round your answers to 2 decimal places.)
Prime time viewing
ABC %
CBS %
Fox %
NBC %
Warner %
UPN %
Answer:
Prime time viewing
ABC % = 18.39%
CBS % = 25.67%
Fox % = 19.92%
NBC % = 22.22%
Warner % = 6.51%
UPN % = 7.28%
Step-by-step explanation:
We have to calculate the percentage of prime time viewing for each of the non-cable networks.
We know that 73.9% of the audience watched shows on cable networks. That left us with 26.1% of the audience for the non-cable networks.
[tex]\text{Cable\%}=1-0.739=0.261=26.1\%[/tex]
Then, if we use a pie chart only for the non-cable networks, we have to calculate the proportion of each network relative to the non-cable audience.
We can calculate that as:
[tex]\text{ABC}=0.048/0.261=0.1839=18.39\%\\\\\text{CBS}=0.067/0.261=0.2567=25.67\%\\\\\text{Fox}=0.052/0.261=0.1992=19.92\%\\\\\text{NBC}=0.058/0.261=0.2222=22.22\%\\\\\text{Warner}=0.017/0.261=0.0651=6.51\%\\\\\text{UPN}=0.019/0.261=0.0728=7.28\%\\\\[/tex]
The toasters produced by a company have a normally distributed life span with a mean of 5.8 years and a standard deviation of 0.9 years, what warranty should be provided so that the company is replacing at most 5% of their toasters sold?
Answer:
A warranty of 4.32 years should be provided.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 5.8, \sigma = 0.9[/tex]
What warranty should be provided so that the company is replacing at most 5% of their toasters sold?
The warranty should be the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 5.8}{0.9}[/tex]
[tex]X - 5.8 = -1.645*0.9[/tex]
[tex]X = 4.32[/tex]
A warranty of 4.32 years should be provided.
Given AC=LN and BA=ML, which statement must be true?
Answer: BC<MN
Step-by-step explanation:
Answer: BC <MN
Step-by-step explanation: i just took the test on eginuity
A group of 570 students were surveyed about the courses they were taking at their college with the following results:
257 students said they were taking Math.
282 students said they were taking English.
323 students said they were taking History.
154 students said they were taking Math and English.
171 students said they were taking Math and History.
143 students said they were taking English and History.
80 students said they were taking all three courses.
How many students took English and History, but not Math
Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
M = a students was taking Math
E = a students was taking English
H = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.
Find the surface area of the rectangular prism above using its net below
Answer:
82cm²
See explanation below
Step-by-step explanation:
The question is incomplete without the diagram of the rectangular prism and it's dimensions. We are to determine the surface area of the rectangular prism using it's net.
I would show you how to determine it using diagram below.
Find attached the diagram used in solving the question as well as the net obtained from the diagram.
Solution:
A net diagram is a 2-dimensional representation of a 3-dimensional solid in which case the solid is unfolded.
The net gives the total area of the sides and faces of the 3 dimensional figure.
The units of the diagram used are all in cm.
Using net diagram:
Area A = Area B = length × height = hl
Area C = Area D = width × length= wl
Area E = Area of F = height × width = hw
surface area of the rectangular prism = 2(wl + hl + hw)
w = width = 2cm
l= length = 7cm
h = height = 3cm
Insert the values in the formular
A = 2(2×7 + 3×7 + 2×3)
A = 2(14+21+6)
A = 2(41) = 82cm²
Surface area of the rectangular prism = 82cm²
Answer: a picture would help
Step-by-step explanation:
lol
What’s the correct answer for this? Select the ones that apply
what are the factors of x^2+4x+3x?
Answer:
x(x+7)
Step-by-step explanation:
x^2+4x+3x
Combine like terms
x^2+7x
Factor out an x
x(x+7)
Answer:
[tex]x(x + 7)[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 4x + 3x[/tex]
Combine like terms
[tex] {x}^{2} + 7x[/tex]
Factoring
[tex]x(x + 7)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What’s the correct answer for this question?
Answer:
C
Step-by-step explanation:
Slope Formula is used from 2-5
Which is
Slope Formula = Rise/Run
Slope Formula = y₂-y₁/x₂-x₁
Please answer this correctly
Answer:
t=13
Step-by-step explanation:
the ratio of the shorter sides is t/4 and the ratio of the longer sides is 26/8 so t=26×4/8=104/8=13
Answer: t=13in
Step-by-step explanation: As you can see in the smaller square, the number 4 is in the place of the letter t. Which means that the width (4) is half of the longitud (8). Therefore, in the bigger square all you need to do it divide the longitud (26) by two, to find the width (t). Which is equal to 13in.
I hope you found this answer helpful! If you did, give it a five-star rating and I thanks! It would really mean a lot.
(Even a brainliest if you feel like it ;D!)
The mean gross annual incomes of certified welders are normally distributed with the mean of $26,589 and a standard deviation of $2,659. The ship building association wishes to find out whether their welders earn more or less than $26,589 annually. The alternate hypothesis is that the mean is not $26,589. Which of the following is the alternate hypothesis? a. H1: <$26,589 b. H1: -$26,589 с. HI:T-826,589 d. Hi: -326,589
Answer:
And based on the claim the system of hypothesis are:
Null hypothesis: [tex] \mu = 26589[/tex]
Alternative hypothesis: [tex] \mu \neq 26589[/tex]
And the best alternative would be:
b. [tex]H_1: \neq $26,589[/tex]
Step-by-step explanation:
For this case we want to test the hypotheis that the true mean is different from 26859. We have the following info given:
[tex] \bar X = 26589[/tex] represent the sample mean
[tex] \sigma =2659[/tex] represent the population deviation
And based on the claim the system of hypothesis are:
Null hypothesis: [tex] \mu = 26589[/tex]
Alternative hypothesis: [tex] \mu \neq 26589[/tex]
And the best alternative would be:
b. [tex]H_1: \neq $26,589[/tex]
How do I do this problem? Two similar pyramids have matching sides in the ratio 5:7. If the surface area of the larger pyramid is 441 cm^2. find the surface area of
the smaller pyramid.
S Area
cm²
Answer:
Surface area of the smaller pyramid will be 225 cm²
Step-by-step explanation:
Two similar pyramids have their matching or corresponding sides in the ratio of 5 : 7.
In other words,
[tex]\frac{\text{One side of the smaller pyramid}}{\text{One side of the larger pyramid}}[/tex] = [tex]\frac{5}{7}[/tex]
Therefore, [tex]\frac{\text{Surface area of the smaller pyramid}}{\text{Surface area of the larger pyramid}}[/tex] = [tex](\frac{5}{7})^{2}[/tex]
[tex]\frac{S_{\text{small}}}{S_{\text{large}}}=\frac{25}{49}[/tex]
[tex]\frac{S_{\text{small}}}{441}=\frac{25}{49}[/tex]
[tex]S_{\text{Small}}=\frac{441\times 25}{49}[/tex]
= 225 cm²
Therefore, surface area of the smaller pyramid will be 225 cm².
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 +7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer:
Step-by-step explanation:
The function f(x) = x^2 has only one x-intercept which means only {0} is the only number that makes y zero.
The second function g(x) = (x-2)^2 -3 has also one x-intercept, {3.732} which will make the value of y, zero.
Answer:
The function started facing up with a vertex at (0, 0). Since 7 was added before squaring, the graph shifts 7 units up so the vertex at (7, 0). Also, the function is negative so the graph is pointing down
This means that there are two x-intercepts in g(x) and there was one x-intercept in f(x).
Step-by-step explanation:
used this and it was right.
Identify the measure of arc BD.
A. 51
B. 72
C. 105
D. 129
Answer:
Option (D). 129°
Step-by-step explanation:
In the figure attached,
AB and CD are the diameters intersecting at the center of the circle F.
Central angle AFC = 129°
m([tex]\widehat{AC}[/tex]) = 129°
m(∠AFD) = 180° - (m∠AFC)
= 180° - (129)°
= 51°
Since m∠AFD = m∠BFC = 51° [Vertical angles]
Therefore, [tex]m(\widehat{AD})=m(\widehat{BC})=51[/tex]
Now, [tex]m(\widehat{BC})+m(\widehat{BD})[/tex] = 180°
51° + [tex]m(\widehat{BD})[/tex] = 180°
[tex]m(\widehat{BD})[/tex] = 180° - 51°
[tex]m(\widehat{BD})[/tex] = 129°
Therefore, Option (D) will be the answer.
A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the
number of shoppers is 10o more than the number of shoppers the day before.
What is the total number of shoppers that visited the mall in the first 7 days?
Round your final answer to the nearest integer.
shoppers
Show Calculator
Report e problem
Answer:
The total number of shoppers that visited the mall in the first 7 days is 234.
Step-by-step explanation:
The number of customers at the new shopping mall on their first day of business was, X = 120.
It is provided that each day the number of shoppers is 10% more than the number of shoppers the day before.
This implies that the number of shoppers on the second day of the opening is:
Number of shoppers on the 2nd day = (120 × 1.10)
Then the number of shoppers on the third day of the opening will be:
Number of shoppers on the 3rd day = (120 × 1.10) × 1.10
And so on.
Compute the total number of shoppers that visited the mall in the first 7 days as follows:
[tex]\text{Number of shoppers on the first 7 days} = 120 \times (1.10)^{7}[/tex]
[tex]=120\times 1.9487171\\=233.846052\\\approx 234[/tex]
Thus, the total number of shoppers that visited the mall in the first 7 days is 234.
Answer:
1138 shoppers
Step-by-step explanation:
given B(-5 0) reflected across the line y=-2
Answer:
When it is reflected across y=-2, the new location will be at (-5,-4)
Step-by-step explanation:
y=-2 is a horizontal line. The points B(-5,0) is 2 units above that point. So, when reflected, it will move 4 units down, which gives you (-5,-4).
Jack uses triangles in the construction of bridges, such as the one shown below
. What is the measure of Angle g
Answer:
61
Step-by-step explanation:
i got it right
Answer:
The one above me is correct
Step-by-step explanation:
Which values of a,b,and c correctly represent the answer in simplest form 7/9 divied by 4/9 =
Answer:
[tex]7/4[/tex]
Solution:
[tex]\frac{7}{9} /\frac{4}{9}[/tex]
Reciprocal.
[tex]7/9(9/4)[/tex]
Multiply.
[tex]\frac{63}{36}[/tex]
Simplify
[tex]\frac{7}{4}[/tex]
I promise brainliest for the first to answer. If you roll two number cubes, what is the probability of their sum being 9 or higher? 5/12 1/6 5/36 5/18
Answer:
maybe 3/5
Step-by-step explanation:
I hope it's right
Hillel is juggling flaming torches to raise money for charity. His initial appearence raises $500, and he raises $15 for each minuter of juggling performance. The amount R of money Hillel raises is a function of t, the length of his performance in minutes. write the functions formula
Answer:
r(t) = 15t+500
Step-by-step explanation:
Since the amount of money (r) is a function of the time (t) we will make it the y-value. t is how much time and he gets $15 a minute so we multiply t by 15. 500 is how much he gets paid for doing it. If he showed up and just left, he would still get 500.
Answer:
R=15t+500
Step-by-step explanation:
I have the same question
what is archieves meaning
Answer:
the meaning is "a collection of historical documents or records providing information about a place, institution, or group of people."
Step-by-step explanation:
hope this helped and plz mark me as brainliest!
Answer:
a collection of historical documents or records providing information about a place, institution, or group of people
Step-by-step explanation:
What is the range of the function
Y = 2eX-1?
Answer:
-4293272 (y|y>-1)(y|y>-1)
Elizabeth is returning to the United states from Canada. She charges the remaining 300 canadian dollars she has to $250 US dollars. What was $1 US dollar worth in canadian dollars? I got 75000 what did I do wrong?
Answer:
1 us dollar would be worth $0.8333333 Canadian dollars
Step-by-step explanation:
i don't know what you did wrong but you would divide 250/300 to get the amount it's worth. I guess you tried to multiply it, don't do that.
To generate new leads for business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3500, and the average first-year commission for each new account opened is $5000. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account.
a. Determine the equation for computing Gustin's profit per seminar, given values of the relevant parameters.
b. What type of random variable is the number of new accounts opened?
c. Construct a spreadsheet simulation model to analyze the profitability of Gustin's seminars. Would you recommend that Gustin continue running the seminars?
d. How large of an audience does Gustin need before a seminar's expected profit is greater than zero?
Answer:
(A) The equation for computing Gustin's profit per seminar; given the values of the relevant parameters is:
π = 0.01AC - 3500
Where π = profit per seminar
A = attendance per seminar
C = commission earning per new account opened
(B) A continuous random variable
(C) No
(D) An audience of 71 persons
STEP BY STEP EXPLANATION:
(A) Profit is equal to total revenue minus total cost.
TR = PAC
Where P = probability that an attendee will open a new account
A = number of attendees per seminar
C = commission Gustin gets from each new account opened.
TC = $3,500
Where cost of organizing 1 seminar is constant at $3,500
So the function for profit per seminar is given thus:
π = TR - TC = 0.01AC - 3500
(B) There are 2 types of random variable; discrete random variable and continuous random variable
We say the number of new accounts opened (NNAO) is a continuous random variable because it is not specific. It is a function of both P and A. It depends on both P and A.
From the profit function or equation we have, we can see that you can't derive the exact NNAO per attendee. It is based on probability so if you were to measure it distinctly, you would have a very minimal value.
Discrete random variables occur in specific intervals e.g. 4, 5, 6,... while continuous random variables occur over an interval; e.g. 4.01, 4.02, 4.03,...
(C) Constructing a spreadsheet simulation model to analyze the profitability of Gustin's seminars, I would not recommend that Gustin continue running the seminars!
(D) The question points to A; which is the total attendance per seminar.
So if we calculate profit with the values given in the full question, we see that profit is negative, hence Gustin is running at a loss with 25 people attending one seminar.
π = (0.01 × 25 × 5000) - 3500
π = -$2,250
So, to make a profit greater than zero, we first check how many attendees it takes for TR to equal TC or for Profit to equal 0.
We set pie π to zero.
0 = (0.01 × 5000 × A) - 3500
0 = 50A - 3500
50A = 3500
A = 70 attendees
So Gustin needs an audience of more than 70 persons before a seminars expected profit will be greater than zero.
What is -4 = -3 + x 8
Answer:
x=-1/8
Step-by-step explanation:
You solve this like an regular equation
Hope this Helps
Stay Safe:)
In a blind taste test, do people prefer pâté or dog food? To investigate, Bohannon et al. (2010) presented 1818 college‑educated adults with unlabeled samples of dog food (Newman's Own Organics Canned Turkey & Chicken) and four meat products meant for humans (duck liver mousse, pork liver pâté, liverwurst, and Spam). Participants were asked to rank their preferences. Two of 1818 participants ranked the dog food first, whereas the other 1616 participants chose one of the other items. Based on these results, can you conclude that people are less likely to prefer dog food over all human food than would be expected by chance? Use the significance level ????=0.05.level α=0.05. C
Answer:
The conclusion is that people are less likely to prefer dog food over all human food than would be expected by chance
Step-by-step explanation:
From the question we are told that
The sample size for first sample is [tex]n_1 = 18[/tex]
The sample size for second sample is [tex]n_2 = 18[/tex]
The number that ranked the dog food first [tex]d = 2[/tex]
The number that chose one of the other items is [tex]h = 16[/tex]
The sample proportion for first sample is
[tex]p(d) = \frac{d}{n}[/tex]
=> [tex]p(d) = \frac{2}{18}[/tex]
=> [tex]p(d) = 0.11[/tex]
The sample proportion for second sample is
[tex]p(h) = \frac{h}{n}[/tex]
[tex]p(h) = \frac{16}{18}[/tex]
[tex]p(h) = 0.8889[/tex]
The value of the pooled proportion is evaluated as
[tex]\= p = \frac{h+d}{18 +18}[/tex]
[tex]\= p = \frac{2+16}{18 +18}[/tex]
[tex]\= p = 0.5[/tex]
[tex]H0: p(d) = p(h)[/tex]
[tex]Ha : p(d) < p(h)[/tex]
Test statistics
[tex]z = \frac{(p(d)) - (p(h))}{\sqrt{\= p (1- \= p) (\frac{1}{n_1} + \frac{1}{n_2} )} }[/tex]
[tex]z = \frac{ 0.1111 - 0.8889}{\sqrt{0.5 (1- 0.5) (\frac{1}{18} + \frac{1}{18} )} }[/tex]
[tex]z = -4.67[/tex]
So since the test statistics is within the rejection region for the left tailed test
The null hypothesis is rejected
The conclusion is that people are less likely to prefer dog food over all human food than would be expected by chance
If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?
(ab)(x)
Ol
(x)
(a - b)(x)
(a + b)(x)
Answer:
(ab)(x)
Step-by-step explanation:
The sum or difference of two linear functions will be a linear function. The product of two linear functions will be a quadratic function.