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Related Questions
1 pts
Your school is having a drawing to give away two prizes to students with
perfect attendance. There are ten total students with perfect attendance in
the drawing and you and your best friend are two of those ten. What is the
probability that you and your friend would win the two prizes that your
school is giving away?
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Answer:
20% im guessing bc they are out of ten people
Use Lagrange multipliers to find the maximum and minimum values of subject to the given constraint. Also, find the points at which these extreme values occur.
f(x, y) xy: 48x+3y2 3456
Enter your answers for the points in order of increasing x-value.
Maximum______
Minimum_______
Answers
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Given:
[tex]\to f(x,y)=xy\\\\\to 48x^2+3y^2=3456\\\\[/tex]
let [tex]\phi(x,y)=48x^2+3y^2=3456[/tex]
using the lagrange multiplies:
[tex]\bigtriangledown f=\lambda \bigtriangledown \phi\\\\i)\ \ y=96 \lambda x \to \lambda=\frac{y}{96\ x} \\\\ii)\ \ x=6 \lambda y \to \lambda=\frac{y}{6\ y} \\\\iii)\ \ 48x^2+3y^2=3456\\\\[/tex]
From equation (i) and (ii)\\\\
[tex]\to \frac{y}{96x}=\frac{x}{6y}\\\\\to 6y^2=96x^2\\\\\to 3y^2=48x^2\\\\[/tex]
From equation 3:
[tex]48x^2+48x^2=3456\\\\96x^2 3456\\\\x^2=36\\\\x=\pm 6\\\\\therefore 3y^2=48(36)\\\\3y^2=1728\\\\y^2=576\\\\y=\pm24\\\\(x,y)=(\pm 6,\pm 24)\\\\Maximum \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 144 \ \ \ \ at \ \ (6,24) \ \ \ \ \ \ \ and \ \ \ \ \ \ (-6, -24) \\\\Minimum \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -144 \ \ \ \ at \ \ (-6,24) \ \ \ \ \ \ \ and \ \ \ \ \ \ (6,-24)\\\\[/tex]
Can anyone help me with my homework
Answers
Answer:
A.
1) No
2)yes
3)yes
4)yes
5) it's not a function
Please someone help me with this
Answers
Answer:
2,-1.5
Step-by-step explanation:
To find the midpoint of a line segment, take the average of the x coordinates and y coordinates of the two points that make it up.
[tex]\frac{2+2}{2} ,\frac{4+(-7)}{2}[/tex]
=[tex]\frac{4}{2} , \frac{-3}{2}[/tex][tex]\frac{4}{2} , \frac{-3}{2}[/tex]
=2,-1.5
Here's the answer for you
Yuki bought a drop–leaf kitchen table. The rectangular part of the table is a 1–by–5–foot rectangle with a semicircle at each end, as shown.
Answers
Answer:
iodfk
Step-by-step explanation:
How many miles are in 506,880 inches?
Answers
If a circle has a circumference of 8.5 cm, what is the diameter of the circle to the nearest 0.1 cm?
Answers
Answer:
Step-by-step explanation:
2[tex]\pi[/tex]r = circumference
2[tex]\pi[/tex]r = 8.5 cm
[tex]\pi[/tex]r = 4.25 cm
r = 1.352817 cm
d = 2r
d= 2.705
diameter = 2.7 cm
1. What is the opposite of 6.87?
Answers
Answer:
-6.87
Consider the opposite symbol
(Negative and Positive)
Which equation is NOT equivalent to p – 7 = 22? Select all that apply.
A. p – p – 7 = 22 – p
B. p – 7 – p = 22 – p
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7
Answers
Answer:
C. p - 7 + 22 = 22 - 7
D. p - 7 + 7 = 22 - 22
Step-by-step explanation:
p - 7 = 22
Add 7 to both sides
p = 29
An equivalent equation could be;
-7 = 22 - p
bruce’s sock drawer contains 9 black socks, 4 white socks, and 12 Brown socks. Express shoes is a sock at random, what is the probability that he will choose a sock that is not brown.
A. 16/25
B. 13/25
C. 12/25
D. 9/25
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Answer:
hdhdjidnd rkdb akkabdbnfjbf
dhideijd
eeijberb
Answer: I think its C (12/25) I'm not completely sure though.
Step-by-step explanation:
For questions 3 that’s all i need help please !!! For a test and please put your answers below !!!
Answers
Answer:
D) 1078
Step-by-step explanation:
Which points on this vertical number line best represent the locations of 2.5 and
A: G and J
B: G and K
C: H and I
D: H and J
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I’m not sure how I do this. Plz help me
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Answer:
y = 3/4x - 2
Step-by-step explanation:
Given:
m = 3/4
b = -2
y = mx + b
m = slope
b = y-intercept
y = 3/4x - 2
PLSSSSSSSSSSSSSSSSSSSSSS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
17925
Step-by-step explanation:
3(1/4)=3.25
simple interest formula:
PV(1+it)=FV
we will divide the 72 months to convert it into years
72/12=6
15000(1+.0325*6)=17925
Answer:
$17,295 will be in his account after 72 months.
Step-by-step explanation:
G.$17295
The one highlighted is wrong please help
Answers
Answer:
The .79 correlation is strong and positive, but "significan" is a question not answered by the correlation coefficient. Many people mistake correlation for causation--one variable's change causing the other variable to change.
Pick the second answer.
The population of a city increases by 1% per year. If this year's
population is 264,000, what will next year's population be, to the nearest
individual?
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Answer:
266640 population
Step-by-step explanation:
What is the answer to
8/12 = ?/3
Answers
Answer:
2/3 is the answer.
Its divided by 4...
Hope it helps!!!
Answer:
2/3(Bolded number is the answer)
Step-by-step explanation:
8/12(divide by 4)
?/3
So, you get 2 as 8 divided by 4 is 2.
Figure A ~ Figure B
Figure A
Figure B
R = 5 ft
R = 2 ft
V = 88 cu ft
Find the volume of Figure A.
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Answer:
The answer is
1375ft3
Step-by-step explanation:
Mariana wears her winter coat when the temperature is colder than -4°
Answers
Answer:
your answer is t < -4
Step-by-step explanation:
hope it helps...
have a great day!! :)
Gillian has completed 25% of a bicycle race. If the length of the race is 32 km, how many has she traveled so far?
800
80
8
8000
NO LINKS
Answers
Answer:
8 km
Step-by-step explanation:
0.25 x 32 = 8
WHICH TWO FUNCTIONS REPRESENT EXPONENTIAL DECAY?
Answers
Answer:
maybe third and first? ıdk :((
Answer:
first and third kind of two functions represent exponential decay.
Jada is working as a waitress. If she earned $70 in tips and worked four hours and made $110 that day, how much money does Jada make each hour?
Answers
Answer:
45
Step-by-step explanation:
1. $70 + $110 = $180
2. $180 ÷ 4 = $45/hour
Help!! I am no good in math..
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Answer:
80/100 is 0.8
Step-by-step explanation:
sorry if I'm wrong
Find the diameter of the object. 2 in
Answers
Answer:
Step-by-step explanation:
Can you write your questions clearly, so we can answer it well
Answer:
is it 2 inches?
Step-by-step explanation:
Can someone help me? I’ll reward points + brainalist (btw only need help with number 5)
Answers
Answer:
A. 55°
hope it can help you
Help me ASAP plzzzz I’m struggling on this one rlly badly
Answers
Answer:
y = -2x + 5
Step-by-step explanation:
Points on the path: (0, 5) and (1, 3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3-5)/(1-0)
m= (-2)/1
m= -2
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = -2(x - 0)
y - 5 = -2x
y = -2x + 5
Explain a method you could use to find 50% out of $24.
Answers
Answer:
$12
Step-by-step explanation:
50% means half of something. Like 50% of 20 is 10. 100% means the whole number. So, 50% is half of the number.
24 divided by 2 is 12.
Hope this helps !!
Find a formula for a geometric sequence that begins with 11, -33, 99
Answers
Answer:
17
Step-by-step explanation:
Which of the following would be a correct interpretation of a 99% confidence interval such as 4.15.6? Choose the correct answer below. A. We are 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of . B. It means that 99% of sample means fall between 4.1 and 5.6. C. It means that 99% of all data values are between 4.1 and 5.6. D. There is a 99% chance that will fall between 4.1 and 5.6.
Answers
Answer:
A. We are 99% confident that the interval from 4.1 to 5.6 actually does contain the true value of population mean.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
99% confidence interval means that we are 99% sure that this interval contains the population mean.
Interval between 4.1 and 5.6.
So the correct answer is given by option A.
A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*
Answers
Step-by-step explanation:
a = 12√3
b = 24
hope this helps