If P(E)=0,40,P(E or F)=0.55, and P/E and F)=0.20, find P(F).
P(F)-(Simplify your answer.)
Answer:
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Step-by-step explanation:cdscx de2wqsax
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==================================
Work Shown:
P(E or F) = P(E) + P(F) - P(E and F)
0.55 = 0.40 + P(F) - 0.20
0.55 = P(F) + 0.20
P(F) + 0.20 = 0.55
P(F) = 0.55 - 0.20
P(F) = 0.35
---------
note: Sometimes you may see the formula as
P(E and F) = P(E) + P(F) - P(E or F)
but it's an equivalent form to the first equation above.
A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.
Given:
Product A requires 7 board feet of wood and 4 lbs of wicker.
Product B requires 5 board feet of wood and 5 lbs of wicker.
Product C requires 4 board feet of wood and 3 lbs of wicker.
Available wood = 3000 board feet
Available wicker = 1400 lbs
Profit margin of A = $35 per unit
Profit margin of B = $42 per unit
Profit margin of C = $20 per unit
To find:
The linear programming problem for given situation.
Solution:
Let the number of units produced of products A, B and C are x, y and z respectively.
Product A Product B Product C Total
Board feet of wood 7 5 4 3000
wicker 4 5 3 1400
Objective function: Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
Board feet of wood : [tex]7x+5y+4x\leq 3000[/tex]
Wicker : [tex]4x+5y+3x\leq 1400[/tex]
Number of units cannot be negative. So, [tex]x,y,z\geq 0[/tex].
Therefore, the required LPP is
Maximize [tex]z=35x+42y+20z[/tex]
s.t.,
[tex]7x+5y+4x\leq 3000[/tex]
[tex]4x+5y+3x\leq 1400[/tex]
[tex]x,y,z\geq 0[/tex]
(11 points!) PLEASEEEEEEEEE Find the value of x for numbers 6,7,8,and 9 and please attach work or a good explanation thank you sm in advance!❤️
(6) 2xº = 86º ==> x = 43
(7) 108º = 3xº ==> x = 36
(8) 72º = 4xº ==> x = 18
(9) 111º = (x + 21)º ==> x = 90
Answer:
1.
2x=86
x=43
2.
3x=108
x=36
3.
4x=72
x=18
4.
x+21=111
x=90
I need help ASAP. Thank you in advance! The choices are true & false.
A certain brand of MP3 player will display how long it will take to play through its entire music library.If the maximum number of songs the MP3 players can hold is 1,000 (and the average song length is 4 minutes), would you want the time displayed in terms of seconds, days, or years worth of music?
Answer:
I think that days is the most reasonable, sorry if I'm wrong
Step-by-step explanation:
So if you had 1,000 songs and each was 4 minutes, the amount of minutes would be 4*1000 minutes, or 4000 minutes.
4000 minutes = 240000 seconds
4000 minutes = 2.77777... days
4000 minutes = 0.007610350684932... years
The equation of a linear relation is y = -4x + 9
The missing number in the order pair is ( -15)
Answer:
6.
4.
Step-by-step explanation:
We need the value of x when y = -15:
-15 = -4x + 9
-4x = -15 - 9 = -24
x = 6.
-15 = -6x + 9
-6x = -24
x = 4.
Date:10/16/20
1. The largest river in the world is the Nile River. It is 4,132 miles long. The
longest river in the United States is the Missouri River. It is 2,540 miles long.
Which is the best estimate of the difference in the lengths of the Nile and
the Missouri rivers?
a. 1,000 miles
b. 1,600 miles
c. 2,000 miles
d. 6,600 miles
2. Each year, the NYC Humane Society works to raise as much money as
possible for the animal shelters. Last month, they raised $14,392 from donations
and $456,892 from pet adoptions. About how much money did they raise
altogether?
the answer to 1 is d and the answer to 2 is 471,284. Please review this topic when you get time.hope this helps
. I'm very bad in math help would mean alot to me
Answer:
(6,1)
Step-by-step explanation:
In order to find the third point, you first need to identify the side length of XZ. X is (1, 1) and Z is (1, 5). In order to find the length of this segment, you just need to subtract 1 from 5 since that is the difference in the y-values and the x-values are the same.
Now, you know that XZ = 4. The problem says that the area of the triangle is 10, and the area of a triangle is a = [tex]\frac{1}{2}[/tex]bh, so you can just insert the values into the equation to solve for the base:
a = [tex]\frac{1}{2}[/tex]bh
= 10 = (1/2) * b * 4
= 10 = 2b
= 5 = b
Because the base is 5 units long, you can just add 5 to the x-value of the point Z, since Y is 5 units to the right of it
Y is (1 + 5, 1)
Y is (6,1)
PLASE ANSWER THIS!! MARKING BRAINLEIST
1. 59049
2. a^12
3. 8a^6
4. 16a^ 10 b^6
5. 9a^4
6. s^6 t^12
7. s^5 / t^5
8. 6561
9. s^2 t^8 / r^2
10. 81a^2 b^6
ou are at the county fair and play a game that involves throwing a baseball at target. You get 3 baseballs, and you win a prize for each target you hit. Your chance of hitting a target with a baseball is 0.74. Assuming each throw is independent of all the others, what is the probability you win at least 1 prize
Answer:
0.98
Step-by-step explanation:
Prob (Ball target & prize ) = 0.74
Prob (Ball no target & no prize) = 1 - 0.74 = 0.26
Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)
= 1 - (0.26)^3
= 1 - 0.017576
= 0.982424
I need help ASAP
what is the principal if the interest earned is $22 the simple annual interest rate is 2% and the time is one year
Answer:
1,100
Step-by-step explanation:Well first find the principal first Multiply the rate 0.02 by the time 1 year this gives us 0.02 then divide the interest ($22) by 0.02 then you get $1,100
Answer:
not 1,100 its 1100
Step-by-step explanation:
Please help thank you
Answer:
1/144
Step-by-step explanation:
You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive
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what are the slopes of the two lines?
green has two yellow dots.
Answer:
-7(1/7) = -1
Step-by-step explanation:
help please?
What is the value of 4x + 3y - z, when x = 2, y = -3 and z = 1 *
Answer:
-2
Step-by-step explanation:
When you fill it in you get 4(2)+3(-3)-1 then multiply and add
what is the least common denominator of 1/2, 2/3 and 3/8 A. 48 B. 24 C. 16 D. 12
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
6. Jack is x years old
Jill is 8 years older than Jack.
Mary is three times older than Mary.
The Sum of their ages is 67.
(a) Form a simplified equation in terms of x
(b) Solve the equation and work out Rebecca's Mary's and Jill's ages
Answer:
i didn't understand in third line mate
Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *
y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4
9514 1404 393
Answer:
y = 2x - 4
Step-by-step explanation:
You want an equation with an x-coefficient that is not 1/2.
2/4 = 0.5 = 1/2
so, the first three answer choices don't meet problem requirements.
The line with equation ...
y = 2x -4
is not parallel to y = 1/2x -6.
2. Choose all numbers that are RATIONAL. *
1. 0
2. 5/7
3. 3.6820350285........
4. -10
Answer:
0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4
Step-by-step explanation:
Rational number are the numbers can be written in the form of the fraction [tex]\frac{a}{b}[/tex] , b ≠ 0
Example:
5, -3, 5.2 , -10.567, [tex]2\frac{1}{3}[/tex] , [tex]\sqrt{64}[/tex] , [tex]-\sqrt{\frac{25}{4}}[/tex] , [tex]\frac{\sqrt[3]{8}}{5}[/tex] , .......5 can be written as [tex]\frac{5}{1}[/tex]-3 can be written as [tex]-\frac{3}{1}[/tex]5.2 can be written as [tex]\frac{52}{10}[/tex]-10.567 can be written as [tex]-\frac{10567}{1000}[/tex][tex]2\frac{1}{3}[/tex] can be written as [tex]\frac{7}{3}[/tex][tex]\sqrt{64}[/tex] can be written as [tex]\frac{8}{1}[/tex][tex]-\sqrt{\frac{25}{4}}[/tex] can be written as [tex]-\frac{5}{2}[/tex] [tex]\frac{\sqrt[3]{8}}{5}[/tex] can be written as [tex]\frac{2}{5}[/tex]All the numbers above are rational numbers
Let us find the rational numbers in our question
∵ 0 can be written as [tex]\frac{0}{1}[/tex]
∴ 0 is a rational number
∵ [tex]\frac{5}{7}[/tex] is a fraction
∴ [tex]\frac{5}{7}[/tex] is a rational number
∵ 3.6820350285........ can not be written in the form of the fraction
because we do not know its end (it is an approximated number)
∴ 3.6820350285........ is not a rational number
∵ -10 can be written as [tex]-\frac{10}{1}[/tex]
∴ -10 is a rational number
∴ 0, 5/7, and -10 are RATIONAL numbers
- Austin is paid a salary of $350 weekly. What are his yearly earnings?
Answer:
average, he earns 16,800 dollars in 1 year
Step-by-step explanation:
he is paid 350 dollars a week
there are 4 weeks in a month and 12 months in 1 year.
350*4=1400
1,400*12 is 16,800.
Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?
Answer:
Step-by-step explanation:
9kg
I am actually dumb just help me please
Answer:probably about 50 years
Step-by-step explanation:did for my family’s live oak
The point (2,0) lies on the graph of the function y = 2x^2 - 8x + 6.
A. True
B. False
find the slope (5,4) (5,9)
Answer:
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Step-by-step explanation:
To find the slope between two points, we can use the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (5, 4) and (5, 9) for (x₁, y₁) and (x₂, y₂) respectively, we get:
[tex]m=\frac{9-4}{5-5}=\frac{5}{0}[/tex]
Note, we cannot divide by zero. By using the slope formula, we get that the slope is undefined.
I hope this helps. Happy studying.
What is the standard form of 3.457
Answer:
3.457 is already in standard form.
Step-by-step explanation:
a chemical change creates a new
Answer:
A new substance with new and different physical and chemical properties.
Step-by-step explanation:
Chemical reactions involve combining different substances. The chemical reaction produces a new substance with new and different physical and chemical properties. Matter is never destroyed or created in chemical reactions. The particles of one substance are rearranged to form a new substance.
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver's distance for the
same section of the trip is displayed below.
Who had a head start, and how many miles was the head start?
Rita's Drive
y
(4, 288)
280-
Roger's Drive
240
Time (hr)
Distance (mi)
(3,223)
200-
1
65
160-
• (2, 158)
2
130
Distance (mi)
120-
3
195
(1,93)
80-
4.
260
40-
0
0
Time (hr)
Who Had the head start?
Answer:
hello your question is poorly written and the required options to the question is missing
options :
Rita had a 28-mile head start.
Roger had a 26-mile head start.
Roger had a 25-mile head start.
Rita had a 22-mile head start.
Answer : Rita had a 28-mile head start
Step-by-step explanation:
From the information given about the distance each driver has for the same section of the trip it can be conclude that Rita has a head start and this head start is by 28 miles
Answer:
a
Step-by-step explanation:
edge 2021
In the sequence, 2, 5, 8, 11, …, which expression describes the number
after x? Explain your choice.
Group of answer choices
x+3
x-3
x/3
3x
Answer:
the first one x+3 is the right answer
Help me on these questions
HELP PLSSSSS AAAAAAAAAAAAAAAAAAAAAA ILL GIVE BRAINLIEST B(
Answer:
a(n) = (3/5)a(n-1), where a(1) = 10 and n is 2 or greater.
Step-by-step explanation:
determine the common factor...The first term (10) by 3/5 results in the given second term (6); the third term is 3/5 of the second term (6), resulting in 18/5 (equivalent to 36/10 or 3.6/1, or just 3.6. Resulting in a(n) = (3/5)a(n-1).
the third term is 3.6, which, if mult. by (3/5), produces 2.16, as expected.
Thus, the recursive formula for this geometric sequence is a(n) = (3/5)a(n-1).
This is good only for a(1) = 10 and n = 2, 3, ....
Hope this helps you
Answer:
what are the characteristics of the two systems of government in this region? Explain in detail.
Explanation:
what are the characteristics of the two systems of government in this region? Explain in detail.
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what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
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what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
Explanation:
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
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what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
Explanation:
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
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what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
what are the characteristics of the two systems of government in this region? Explain in detail.
Step-by-step explanation: