Given the feasible region graphed below, where will the maximum value of the objective function f(x, y) = −2x + y − 1 occur?
a. (3, 0)
b. (−3, 0)
c. (0, −3)
d. (0, 0)
The maximum value of the objective function occurs at (-3, 0). The correct option is (-3, 0).
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) and x ∈ X and y ∈ Y.
The objective function is given as f(x, y) = −2x + y − 1.
For the maximum value all the options are analysed one by one as follows,
(a) Substitute x = 3 and y = 0 in the given objective function to obtain,
-2 × 3 + 0 - 1 = -7
(b) Substitute x = -3 and y = 0 in the given objective function to obtain,
-2 × -3 + 0 - 1 = 5
(c) Substitute x = 0 and y = -3 in the given objective function to obtain,
-2 × 0 + -3 - 1 = -4
(d) Substitute x = 0 and y = 0 in the given objective function to obtain,
-2 × 0 + 0 - 1 = -1
Hence, the maximum value of the given objective function occurs at (-3, 0).
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Answer:
Simple division
Step-by-step explanation:
Take each total price and divide it by the number of nights stayed. Once you have your answer to all three, compare and the lowest number is your answer.
please help I'll give brainliest
You are wrapping a cube shape present that is 1.5 feet tall. How much wrapping paper will you need to wrap the entire present?
the answer is going to be 6.0
Step-by-step explanation:
1.5 + 1.5 = 3
3 + 3 = 6
Please help mehhhhhh
Answer: They should be 1.5 apart from each other
Which statement about all expressions is true? A All expressions contain only numbers. B All expressions are mathematical statements with an equal sign. C All expressions contain variables. D All expressions are mathematical phrases with no equal sign.
Answer:
c
Step-by-step explanation:
Answer:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4
Step-by-step explanation:
austin bought a new car for $35,000. the car decreases in value 4% every year. how many years will it take for the cars value to be $20,000?
Answer:
2 years
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Find the surface area of the rectangular prism:
Answer: 430 cm²
Step-by-step explanation:
1) Front x Back= 15 x 7 x 2= 210 (We do time 2 because there are two of the same shapes ex. there are two squares that are both 16 ft so just do 16 x 2)
2) Right x Left= 7 x 5 x 2 = 70
3) Top x Bottom= 15 x 5 x2 = 150
4) Add. 150 + 210 + 70 = 430 cm²
Hope that helped! :)
PLS HELP Find the value of x .
the answer is 6
8+10=18
12+?=18
12+6=18
What number in Arabic numerals is Roman numeral MCMXLI
(Enter numeric value only.)
Answer:
1941
Step-by-step explanation:
Hope this helped!!!
(D) Work out
1/4 of 28
Answer:
1/4 ×28=7 ::*^ jghjnryh
Answer:
7
Step-by-step explanation:
[tex]\left(\frac{1}{4}\right)\cdot28[/tex]
[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]
[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]
You should divide both the numerator and the denominator by 4 and get 7 as a result of that.
Five boxes of fruit snacks cost $22.50.
How much would three boxes cost?
How much would nine boxes cost?
How much would x boxes cost?
Answer:
13.5 answer is 13.5 and one cost 4.5
The winning height for the men's Olympic high jump has been increasing each year. A regression line of the data is y = 0.23x + 70.8, where
y is the height of the men's winning jump in inches and x is the number of years since the first Olympics in 1896.
Which statement best describes the meaning of the y-intercept of the regression line?
A. The winning men's high Jump helght of the first Olympics was about 0.23 inches.
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
C. Each year the winning men's high jump helght is predicted to increase by 0.23 inches.
D. Each year the winning men's high jump helght is predicted to increase by 70.8 inches.
The y intercept of the equation is the 70.8.
The answer would be
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
Answer:
the answer is c
Step-by-step explanation:
because x is the number of years since the first olympics in 1896 you would multiply x=225 for 2021 by 0.23in and get 51.75in which is how much the winning jump went up over the years. so it is predicted to rise by 0.23in every competition.
25 points and brainliest for correct answer!!
Convert to standard form equation. Quadratics
Only the y=1/3x^2+2 and the y=-1/7x^2+12
Answer:
For the y=1/3x^2+2 the answer is For the second one y=-1/7x^2+12 the answer is
Step-by-step explanation:
What is the area of a triangle with a base of 4.8 mm and a height of 3.7
mm? *
Answer:
8.88 square mm
Step-by-step explanation:
The formula for solving a triangle is base multiplied by height divided by 2 or 1/2(b)(h)
So by plugging in what you have, you'll get 1/2(4.8)(3.7) as your equation. 4.8(3.7) = 17.76 which simplifies your equation to 1/2(17.76) or 17.76/2.
17.76/2 = 8.88
So, the area of the triangle is 8.88 square millimeters.
Which of the following has the greatest value?
A) 0.8
B) 0.45
C) 5/7
D) 0.647
E) 9/11
BRAINLIEST if correct
Answer: The area of rectangle U is 12.
Step-by-step explanation:
We can solve this by finding the ratio of the two rectangle lengths which are given. We see that the ratio is 2/1. Now, from here you have two options to go. The first option is dividing 48 / 8 which is 6. Now you divide 6 / 2, because 2 is the scale factor. 6 / 2 = 3. 4 * 3 = 12, giving us the area of 12. Another way to do it is since the scale factor is 2, the ratio of the areas are the scale factor squared. 48 / 2 ^ 2 = 48 / 4 = 12.
B
15. x =
106
(10x -23)
D
9514 1404 393
Answer:
x = 15
Step-by-step explanation:
Chords equidistant from the circle center subtend the same arc measure. The sum of the three arcs of the circle is 360°, so you can write the relation ...
2(10x -23)° +106° = 360°
2(10x -23) = 254 . . . . . . . . divide by °, subtract 106
10x -23 = 127 . . . . . . . . . divide by 2
10x = 150 . . . . . . . . . . add 23
x = 15 . . . . . . . . . . . divide by 10
An article reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plates. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 110 times per second for 300 seconds, for a total of 33000 measurements. Find a 95% confidence interval for the population correlation rho. Round the answers to four decimal places.
Answer:
95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505
Step-by-step explanation:
Given the data in the question;
correlation coefficient y between output and time under a load of 588 N was −0.9515
so first we determine the quantity W.
we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])
we substitute -0.9515 for r
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])
W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )
W = [tex]\frac{1}{2}[/tex]( -3.6948975 )
W = - 1.8474
So the quantity W is normally distributed with standard deviation given by;
σ[tex]_w[/tex] = 1 / √(n - 3)
given that n is 33,000, we substitute
σ[tex]_w[/tex] = 1 / √(33,000 - 3)
σ[tex]_w[/tex] = 1 / √32997
σ[tex]_w[/tex] = 0.0055
Now, at 95% confidence interval, μ[tex]_w[/tex] will be;
⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )
⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078
⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366
So to obtain 95% confidence interval for p, we use the following equation;
we transform the inequality
p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]
we substitute
[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]
[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]
[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]
[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]
-0.9525 < [tex]p[/tex] < -0.9505
Therefore, 95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505
HELP ME WITH THISSS!!!!!!!!!!!!!!!!!!!
Washington (CNN) About three-quarters of Americans (77%) approve of President Donald Trump's decision to meet with North Korean leader Kim Jong Un, according to a new CNN pollconducted by SSRS. Trump's approval rating for handling the situation with North Korea has jumped 10 points since late March.
...
The CNN Poll was conducted by SSRS May 2-5 among a random national sample of 1,015 adults reached on landlines or cellphones by a live interviewer. Results for the full sample have a margin of sampling error of plus or minus 3.6 percentage points; it is larger for subgroups.
Assuming that the level of confidence and the statistic remain the same what would happen to the Margin of Error if they had surveyed 2,030 adults instead of 1,015?
a. The margin of error would increase.
b. The margin of error would decrease.
c. The margin of error would stay the same.
d. It will depend on how the people in the sample respond.
Answer:
b. The margin of error would decrease.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.
In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.
PLEASE HELP options are in the picture
A game involves rolling a fair six-sided die. If the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing.
How will you model the simulation for the roll of a die?
Answer: C. Use the numbers 1-3 to represent all the outcomes.
Step-by-step explanation: I got this question correct on Edmentum.
What does b equal in the picture below?
Answer:
87
Step-by-step explanation:
just subtract 16 from 103
y = x2 – 3x + 2
use the discriminant to determine the number of solutions
Answer:
2 real solutions
Step-by-step explanation:
The formula for determining the discriminant is b² - 4ac.
So, let's identify our variables.
a = 1
b = 3
c = 2
Now, we can plug in our values.
3² - 4(1)(2)
9 - 8
1
1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.
the final game is altered. bag one 5 red balls
Answer:
what are you talking about
Step-by-step explanation:
Answer:
five red balls one bag
drag the numbers and the parentheses to create an equivalent addition sentence that illustrates the associative property of addition
(3+4)+2=9
Answer:
It would be (3+2)+4=9
Step-by-step explanation:
you just have to switch to numbers.
There are 60 pupils who joined the Math Quiz Competetion. 40 were boys and 20 were girls. During the Awarding ceremony, it was found out that 20% of the boys and 15% of the girls won and receieve prizes. How many receieved prizes? Brainly.Ph Please Paki Sagot po In English Kailangan ko na po ngayon!! :)
Answer:
Total number of pupils who received the prize = 10
Step-by-step explanation:
Number of boys in the Math Quiz Competition = 40
Number of girls = 20
Percentage of girls who received the prize = 20%
Therefore, number of girls who received prize = 20% of 20
= [tex]20\times \frac{20}{100}[/tex]
= 4
Percentage of boys who received the prize = 15%
Therefore, number of boys who received the prize = [tex]40\times \frac{15}{100}[/tex]
= 6
Total number of pupils who received the prize = 4 + 6 = 10
18 times 200 is how much
dont actually answer i just wanna talk
18 time 200 is 3600 that's it
Answer:
hey lily its Josh i just wanted to say im sorry for not talking to yu but i do still love and miss yu nd be careful ok and we need to catch up whenever ur free
Step-by-step explanation:
Fina bought a DVD player for $58.97 and a set of DVDs for $24.98. How much did Fina spend in all?
Answer: $83.95
Step-by-step explanation:
Hope this helps!
choose the expression that represents the fraction as a product of a whole number and a unit fraction 4/10
Answer:
69
Step-by-step explanation:
trust me
Suppose that you are examining the difference in ages between brides and grooms. You are interested in conducting a significance test to examine to address the theory that the bride is younger than the groom in more than half of all marriages. A sample of 100 couples were observed, for which 67 had a bride younger than the groom.
whats is the parameter? .
Step 2: The null hypothesis and alternative hypothesis?
Step 5: whats the p-value is:
Answer:
Parameter = 0.5
Null hypothesis : H0 : P0 = 0.5
Alternative hypothesis ; H0 : P0 > 0.5
Pvalue = 0.99966
Step-by-step explanation:
The parameter defines a statistical value or calculation which is derived from the population.
The parameter in this scenario is the population proportion, P0 which is 0.5
The scenario above describes a scenario to test the difference in population.
The null hypothesis, that bride and groom are of the same age ;
H0 : P0 = 0.5
The alternative hypothesis ; the bride is younger Than the groom in more than half of the population.
H1 : p0 > 0.5
To obtain the Pvalue :
Test statistic : (phat - P0) ÷ √(p0(1 -p0) / n)
Phat = x/n
x = 67 ; sample size, n = 100
Phat = x / n = 67/100 = 0.67
P0 = 1 - 0.5 = 0.5
Tstatistic = (0.67-0.50) ÷ √(0.5(0.5) / 100)
Tstatiatic = 0.17 ÷ 0.05
Tstatistic = 3.4
P-value : p(Z < 3.4) = 0.99966 (Z probability calculator).