Answers
1 to A
2 to C
3 to B
4 to D
and that's all
Related Questions
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the given plane. x 3y 4z
Answers
I assume the given plane has equation
x + 3y + 4z = d
for some constant d ≠ 0.
You want to maximize the function V(x, y, z) = xyz subject to the above constraint. The Lagrangian would be
L(x, y, z, λ) = xyz - λ (x + 3y + 4z - d)
Find its critical points:
∂L/∂x = yz - λ = 0
∂L/∂y = xz - 3λ = 0
∂L/∂z = xy - 4λ = 0
∂L/∂λ = x + 3y + 4z - d = 0
The first three equations tell you that λ = yz = xz/3 = xy/4. Then, for instance,
yz = xz/3 → 3yz - xz = z (3y - x) = 0 → z = 0 or 3y - x = 0
If z = 0, we get zero volume which is not useful. So 3y = x. Similarly, you would find x = 4z and 3y = 4z, so a critical point occurs when x = 3y = 4z.
In the fourth equation, we get upon substituting
x + 3y + 4z = 3x = d → x = d/3, y = d/9, z = d/12
Then the largest volume of this box would be
V(d/3, d/9, d/12) = d ³ / 324
Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9, 10}
What is the probability of drawing an even number or a
multiple of 3?
Answers
Answer:
0.7
Step-by-step explanation:
2,3,4,6,8,9,10 are the possible choices.
∴P(even no. or multiple of 3)
= 7/10
Answer:
7/10 or 70%
Step-by-step explanation:
1 no
2 yes
3 yes
4 yes
5 no
6 yes
7 no
8 yes
9 yes
10 yes
7/10 are even or multiples of 3, therefore you have a 70% chance of drawing one of them
Solve for n:5*8^3n+1=80
Answers
Answer:
8^(3n+1) = 80/5
8^(3n+1) = 16
(2^3)^(3n+1) = 2^4
2^(3*(3n+1) = 2^4
Having same power so;
9n+3 = 4
9n = 4-3
9n = 1
n = 1/9
Helppp pleaseeee which one
Answers
Answer:
Coefficient is your answer
Answer:
3 is a coefficient
Step-by-step explanation:
a constant is a number without a variable and that is unchanging
3 has the variable w attached to it and will change with the value of w
hope this helps <3
HELP PLEASE HURRY!!! NO SPAM!!!!
Identify the area of the figure
Answers
Which figure where is the figure
D
Question 3
3 pts
Zion has 152 shares of company LMN stock. LMN issued dividend payments every
quarter that totaled $1.3 per share for the entire year. The current price for LMN
stock is $34.97 per share. What is the current dividend yield for LMN stock?
Answers
Find the coordinates of the point (a, b).
a = ?
(0, 1)
0 1
2
(a, b)
O v2
O v2
2.
1(-1,0)
रा
45°
DONE
(1,0)
b= ?
1
O v2
O v2
2.
Зл
2
(0, -1)
Answers
9514 1404 393
Answer:
(a, b) = (√2/2, √2/2) . . . . . choice C in each case
Step-by-step explanation:
The points on a unit circle will not have coordinate values greater than 1 (eliminates √2). The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° are ...
(cos(45°), sin(45°)) = (a, b) = (√2/2, √2/2)
The coordinate of point (a, b) is (√2/2, √2/2)
Coordinate of a point on a circleNote that the points on a unit circle will not have coordinate values greater than 1.
The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° is given according to the coordinate point (cos45, sin45)
a = cos45 = √2/2
b = sin45 = √2/2
Hence the coordinate of point (a, b) is (√2/2, √2/2)
Learn more on unit circle here: https://brainly.com/question/23989157
- 4(x + 5) = 16 what does x equal?
Answers
Answer:x= 9
Step-by-step explanation:
-4(x+5) = 16
-4*x= -4x -4*5= -20
16 - -20= 36
-4x/-4= x 36/-4=9
Given that z is a standard normal random variable, find z for each situation (to 2 decimals).
A. The area to the right of z is 001.
B. The area to the right of z is 0.045.
C. The area to the right of z is 0.05.
D. The area to the right of z is 0.2.
Answers
Answer:
a) Z = 2.33
b) Z = 1.7
c) Z = 1.65.
d) Z = 0.84.
Step-by-step explanation:
Z-score:
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, which is also the area to the left of z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is also the area to the right of z.
A. The area to the right of z is 0.01.
Z has a pvalue of 1 - 0.01 = 0.99. So Z = 2.33.
B. The area to the right of z is 0.045.
Z has a pvalue of 1 - 0.045 = 0.955. So Z = 1.7
C. The area to the right of z is 0.05.
Z has a pvalue of 1 - 0.05 = 0.95. So Z = 1.65.
D. The area to the right of z is 0.2.
Z has a pvalue of 1 - 0.2 = 0.8. So Z = 0.84.
An elevator has a placard stating that the maximum capacity is 1580 lb-10 passengers. So, 10 adult male passengers can have a mean weight of up to 1580/10 = 158 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 158 lb. (Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.) Does this elevator appear to be safe?
Answers
Answer:
a) 0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb
b) No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.
This means that [tex]\mu = 160, \sigma = 35[/tex]
Sample of 10:
This means that [tex]n = 10, s = \frac{35}{\sqrt{10}} = 11.07[/tex]
a) Find the probability that it is overloaded because they have a mean weight greater than 158 lb.
This is 1 subtracted by the pvalue of Z when X = 158. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{158 - 160}{11.07}[/tex]
[tex]Z = -0.18[/tex]
[tex]Z = -0.18[/tex] has a pvalue of 0.4286
1 - 0.4286 = 0.5714
0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb.
b.) Does this elevator appear to be safe?
No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.
The commutative property changes the _____ of two addends or factors.
Answers
Need help ASAP!!!!!!!!!!
Answers
Answer:
the last two
Step-by-step explanation:
It’s me again guys!! Can anyone help me please?
Answers
=(-4)^2 - [-4]
=(16) + 4
=20
(two negatives=positive)
Please help due soon.
Answers
Answer:
If Jenny gives her brother 28 marbles, they will have 59 marbles each.
Step-by-step explanation:
The key to finding this answer is a mean, or average. Find it for the number of marbles:
[tex]\text{Mean}=\frac{87+31}{2}= \frac{118}{2}=59 \text{ marbles}[/tex]
So, on average, each one should have 59 marbles.
Finally, to find out how many marbles Jenny should give to her brother, subtract the average (59 marbles) from her count:
[tex]87-59=28 \text{ marbles}[/tex]
This means Jenny would give up 28 of her marbles to her brother.
The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm2) in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
Answers
Consider the expression
10x2 + 5x – 25.
What is the GCF (greatest common factor)?
Answers
Answer:
5
Step-by-step explanation:
Answer:
Its def 5, My calculations are never wrong
Write two fractions that have a sum of 1 and have different denominators.
Answers
Answer:
1/5+8/10=1
Step-by-step explanation:
1/5 = 2/10
On a drive from one city to another, the person averaged 51 mph. If he had been able to average 72 mph, he would have reached his destination 7 hrs earlier. What is the driving distance between one city and the other?
Answers
Answer: 1224 miles
Step-by-step explanation:
Given
the average speed of a person is 51 mph
If speed is increased to 72 mph, he would have reached 7 hr earlier
Suppose d and t be the distance and time taken
[tex]\Rightarrow t_1=\dfrac{d}{51}[/tex]
If the speed is 72 mph
[tex]\Rightarrow t_2=\dfrac{d}{72}[/tex]
Also, [tex]t_1-t_2=7[/tex]
[tex]\Rightarrow \dfrac{d}{51}-\dfrac{d}{72}=7\\\\\Rightarrow \dfrac{1}{51}-\dfrac{1}{72}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{24-17}{1224}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{7}{1224}=\dfrac{7}{d}\\\\\Rightarrow d=1224\ miles[/tex]
WILL GIVE BRAINLIST PLS HELP Find z. Just write the number. Answer should be a whole number.
Answers
Answer:
8
Step by Step Explanation
Answer and Step-by-step explanation:
To find Z, we have to use the trigonometric function of Sine.
The Sine trig function looks like this:
sin(Angle) = [tex]= \frac{opposite.side}{hypotenuse}[/tex]
Plug in the values and solve for z.
[tex]sin(30) = \frac{4}{z} \\\\\\\\\\z = \frac{4}{sin(30)}[/tex]
Plug into a calculator and solve.
We get z to be 8.
#teamtrees #PAW (Plant And Water)
Question 5. What is the mean of 51, 60, 80, 32, 47, 30 * A.50 B.6 c. 60 D40
Answers
Answer:
A (50)
Step-by-step explanation:
Mean is the total numbers added up divided by the # of numbers.
There are 6 numbers.
51 + 60 + 80 + 32 + 47 + 30 = 300
300/6 = 50
Therefore, the answer is A.
Answer:
A
Step-by-step explanation:
Because to find the mean you add up all the numbers.
51+60+80+32+47+30=300
Then your suppose to divide by the sum.
300/6=50
After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only three women among the last 21 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired, assuming that there is no discrimination based on gender.
Does the resulting probability really support such a charge?
Answers
Answer:
0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.
Step-by-step explanation:
For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
21 new employees.
This means that [tex]n = 21[/tex]
She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.
This means that [tex]p = 0.5[/tex]
Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.
This is
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0[/tex]
[tex]P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001[/tex]
[tex]P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001[/tex]
[tex]P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071[/tex]
0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.
Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below. The figure shows a right triangle with legs marked 70 and 24.
Answers
Answer:
74
Step-by-step explanation:
please help! I really need it if you can tysm
Answers
Answer:
Step-by-step explanation:
Half of the animals are cats. If they take in 5 cats, then the total number of animals is 2×5 = 10.
If they take in 8 animals, the number of cats is ½ of 8 = 4.
If they take in 6 cats, then the total number of animals is 2×6 = 12.
If they take in 16 animals, the number of cats is ½ of 16 = 8.
Help asappppp !!!!!!!!
Answers
Answer:
None
Step-by-step explanation:
2(x + 10) - 17 = 2x - 2
simplify:
2x + 20 - 17 = 2x - 2
2x + 3 = 2x - 2
subtract 3 from both sides of the equation:
2x = 3x -5
no solution
Give the value of x. Explain how you got your answer OR which theorem you used.
Answers
100+75+70+x= 360° (sum of interior angles of quadrilateral)
x= 360-245= 115°
2.5
pocket money in the ratio 6:5. Calculate Jannie's adjusted monthly pocket money.
Khaya is delivering groceries to his mother who stays 8km from the shop. How long will it take him
to cover this distance if he drives at an average speed of R65km/h? Give your answer rounded to the
nearest minute.
Answers
Answer:
pzie6zkezkzorzozirusultaluspuar
solve please
due very soon
need done asap
Answers
Answer:
B
Step-by-step explanation:
Both triangles are similar. The similarity ratio between AB and EF is 4, which must mean that FG is BC (60)/4. The area of a rectangle is base x height -> 6.25 x 15 = 93.75 square cm
Hope this helps!
Help pls because I really need help
Answers
Answer:
answer is third,hope i helped u
A scientist measured a museum specimen. She recorded the measurement as 75 centimeters. What could the scientist have been measuring? length of a dinosaur bone
mass of a dinosaur bone
length of a gem
mass of a gem
Answers
Answer:
75cm is the measurment
Step-by-step explanation:
It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.
Students at the local middle school are mixing a unique school color. The blue in the school
color is made by using 3 parts navy blue and 1 part white. Will each combination result in the
correct ratio of the school color? Select Yes or No.
O Yes O No
O Yes O No
A. į part navy blue, į part white
B. į part navy blue, in part white
C. part navy blue, į part white
D. } part navy blue, į part white
O Yes O No
O Yes O No
Answers
Answer:
A: No
B: Yes
C: Yes
D: No
Step-by-step explanation:
A: Navy is obviously the bigger ratio so A is wrong
B: If you multiply both values by 18 you get the 3:1 ratio
C: If you Multiply both values by 5, you get the 3:1 ratio
D: Like A, Navy is always going to be bigger so D is wrong