The correct statement which satisfies the given condition will be that Olivia does not work with Nicole so option (B) will be correct.
What is the reasoning?the procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
In another word, the reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.
Given that Olivia does not wear a blue uniform.
All co-workers wear blue uniform
It mean olivia doest not work with Nicola.
Hence Olivia does not work with Nicole will be the correct answer.
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What is the minimum value of the objective function, C, with the given constraints?
C=2x+3y
A) 2x+3y≤24
B) 3x+y≤15
C) x≥2
D) y≥3
Given:
The objective function, [tex]C=2x+3y[/tex],
Constraints,
[tex]2x+3y\leq 24[/tex]
[tex]3x+y\leq 15[/tex]
[tex]x\geq 2[/tex]
[tex]y\geq 3[/tex]
To find:
The minimum value of the given objective function.
Solution:
We have,
Objective function, [tex]C=2x+3y[/tex] ....(i)
The related equations of given constraints are
[tex]2x+3y=24[/tex] ...(ii)
[tex]3x+y=15[/tex] ...(iii)
[tex]x=2[/tex], it is a vertical line parallel to y-axis and 2 units left from y-axis.
[tex]y=3[/tex], it is a horizontal line parallel to x-axis and 4 units above from y-axis.
Table of value for (i),
x : 0 12
y : 8 0
Table of value for (ii),
x : 0 5
y : 15 0
Plot these points on a coordinate plane and draw these 4 related lines.
The sign of inequality of [tex]2x+3y\leq 24[/tex] and [tex]3x+y\leq 15[/tex] is ≤, it means the related lines are solid lines and the shaded region lie below the related line.
For [tex]x\geq 2[/tex], left side of the line [tex]x=2[/tex] is shaded.
For [tex]y\geq 3[/tex], shaded region is above the line [tex]y=3[/tex].
From the below graph it is clear that the vertices of the feasible (common shaded region) are (2,3), (4,3), (3,6) and (2,6.667).
Points [tex]C=2x+3y[/tex]
(2,3) [tex]C=2(2)+3(3)=4+9=13[/tex] (Minimum)
(4,3) [tex]C=2(4)+3(3)=8+9=17[/tex]
(3,6) [tex]C=2(3)+3(6)=6+18=24[/tex]
(2,6.667) [tex]C=2(2)+3(6.667)=4+20=24[/tex]
Therefore, the objective function is minimum at point (2,3).
Helpppppppppppppppppppp
Answer:
14
Step-by-step explanation:
i think cos x*2 = y
PLEASE HELP MEEEEEEE
Answer:
the thing is black for me.. pls retake
Step-by-step explanation:
Which statement is true of normally distributed data?
A.
Approximately 90% of data falls within 2 standard deviations (±2) of the mean.
B.
Approximately 90% of data falls within 3 standard deviations of (±3) the mean.
C.
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.
D.
Approximately 95% of data falls within 3 standard deviations (±3) of the mean.
Please explain and no answering just for points.
C
have a nice day!!!!!!!!!!!!!!!!!!!!!!!
Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.
What is a normal distribution?A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.
Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.
As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.
In a normal distribution 68% of the values falls within 1 standard deviation
and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.
Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.
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-5/12 - (-9/3)=
Help me please
Answer:
HOW T.F DO YOU NOT
Step-by-step explanation:
-5/12+3
2 7/12
UST CAUSE
Answer: -5/4
Step-by-step explanation:
Us the regression equation, y= 4.39x-6.77, to predict the age of a tree that is 125 cm in diameter
Answer:
y = 542 years
Step-by-step explanation:
Given that,
The regression equation, y= 4.39x-6.77 is used to predict the age of a tree.
y is age of a tree and x is diameter
Put x = 125 cm
Put the value of x in above equation.
y = 4.39(125)-6.77
=548.75 - 6.77
= 541.98
or
y = 542
So, the tree is 542 years old.
Find f(-2) for (x) = 2(4)x
Answer:
-16
Step-by-step explanation:
The question asks to find x from 2(4)x if x = -2
All that we have to do is substitute to get our answer :
f(-2) for (x) = 2(4)x
f(-2) = 2(4)(-2)
f(-2) = 2(-8)
f(-2) = -16
Therefore, x = -16
Answer:
-16
Step-by-step explanation:
Plug in -2 for x and then multiply 2 and 4 to get 8 (-2) which is then -16. Hope that helps!
On Wednesday, farmer bell wants to take an inventory of his mango trees He planted 7 rows of mango trees. There are 42 mango trees in each row. How many mango trees does he have altogether?
Please help soon because I really need to finish my last homework question quickly
Answer:
what is the question? May you please show us
Step-by-step explanation:
please help me with this
Answer:
13 tables
Step-by-step explanation:
156 ÷ 12 = 13
156 people divided by the number of people each table hold will give u the amount of tables needed
4/x = 2/7 please help ASAP!!
Answer:
use cross multiplication to solve
4*7 = 2*x (multiply)
28 = 2x (divide both sides by 2 to isolate x )
x = 14 (your answer)
Step-by-step explanation:
I hope this helped :)
Answer:
Step-by-step explanation:
Or,2×x=7×4
Or,2x=28
Or,x=14
Find the point that maximizes the objective functions P=2x+5y using constraints:
y>=10-2x
y<=7-1/2x
x>=0
y>=0
Answer:
(2,6)
Step-by-step explanation:
Helppp (20 points )pleaeeee
Answer:
LxWxH= 920
Step-by-step explanation:
hope this helps!
What is the slope of the line that passes through
the points (-6, 6) and (10, -10)?
Answer:
-1
Step-by-step explanation:
as - 10-6/10-(-6)
Equals - 16/16
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Answer:okay I’m pretty smart it is c the answer is 4:)
Step-by-step explanation:
Factor the expression using the GCF
16x+56y
Answer:
8(2×+7y)
Step-by-step explanation:
8 is the largest factor
Paula walked on the treadmill for 11 minutes. The machine told her she had a total of 671 strides. What was her rate in strides per minute?
Answer:
61 strides per minute
Step-by-step explanation:
You just divide 671 by 11
hope this helps:)
Answer:
61
Step-by-step explanation: All you have to do is divide 671 by 11
Bo, Ryan and Zach walked 1/4 miles from school to Bo’s house. They walked 4/6 miles from Bo's House to the park what is the total distance the boys walk?
Answer: They walked 11/12 miles
Step-by-step explanation:
1/4 + 4/6
3/12 + 8/12
11/12
I NEED HELP NOW please
What is the value of p in the following division problem?
7/8 ÷ p = 1 11/24
Answer:
24 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 1 5 q5
If 2^x3^y=18 and 2^x×3^y=36 then find the value of x and y
Answer:
x = 1
y = 2
Step-by-step explanation:
x=1 and y=2.
step 1 ,
2^2x*3^y=36
3^y= 36/2^2x ———- equal 1
step 2,
put the value of 3^y in 2^x*3^y = 18 (equal 1)
WHEN BASES ARE SAME POWERS ARE SUBTRACTED IN CASE OF DIVISION.
Therefore, 2^x-2^2x= 1/2
2^-x= 1/2
(1/2)^x = 1/2
COMPARING THE POWERS BECAUSE THE BASE IS SAME.
x=1.
Now, putting the value of x=1 in 2^x*3^y = 18
y=2.
Someone please help me with this!!
Answer:
Its A
Step-by-step explanation:
Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each 3 student, one at a time, for 7 of an hour, how many students does she tutor?
6
8
12
24
Answer:
24 hope this helps
Step-by-step explanation:
Expanded form of 6(y+x)
Answer:
6y + 6x
Step-by-step explanation:
the expanded form would be 6 multiplied to each item in the parenthesis
this gets you 6x + 6y
find the rate of travel for a fishing boat with a speed of 10 miles per hour moving Downstream with a current of 5 miles per hour
Answer:
36 miles (b+C) (3)of rate
Stephen has a dog that weighs 5 times as much as lan's dog.
The total weight of both dogs is 72 pounds. How much does
Stephen's dog weigh?
Draw a diagram to find the weight of Stephen's dog.
Answer:
60 pounds
Step-by-step explanation:
5(5 times)*12(weight of lans dog)=60+12=72
Answer:
57.6
Step-by-step explanation:
72/5 = 14.4
72-14.4=57.6
I checked the answer by:
57.6+14.4=72
Use the two bar graphs to answer the following experimental compound events. What is the
experimental probability of rolling a 2 and spinning 2?
- 6/625
- 4/250
- 24/2500
- 6/50
Answer:
24 / 2500
Step-by-step explanation:
Experimental probability = (number of successes / total number of trials)
For rolling :
Total number of trials = ( 10 + 4 + 8 + 11 + 8 + 9) = 50
Number of times 2 is rolled = 4
P(rolling a 2) = 4 /50
For spinning :
Total number of trials = (8 + 6 + 9 + 11 + 9 + 7) = 50
Number of times 2 is spunned = 6
P(rolling a 2) = 6 /50
Hence,
4 / 50 * 6/50 = 24 / 2500
PLEASE ANSWER ASASSP!!!!!!!!!!!!!!!!!!!!
Sovle the equation
-10 (g - 6) = 65
What is g?
Answer:
g=-1/2 can u you also mark me brainliest?
Step-by-step explanation:
Kiran's mother gets a restaurant bill for $25. She has a coupon for 15% off. After the
discount is applied, she adds 20% as a tip.
What is the total after the discount and tip? Explain or show your reasoning.
Answer:
$25.50
Step-by-step explanation:
So we have a 15% off coupon. We can multiply 25×.85 to find our new price.
Our total is now $21.25
Now to find the tip do $21.25 +(.2 × 21.25)
*The .2 is 20 percent of our discount price.*
We then get $25.50
Please help!! Find the length of the radius of circle O.
Answer: 4.5 units
Step-by-step explanation:
OD and OC are both radii of the circle O. All radii of the same circle are equal. Thus,
[tex]6x+2=10x-16[/tex]
18=4x
x=4.5
Hope it helps :)