Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Number of 8 pounds before boxes to be removed from cargo = b
Weight in pound of crate to be loaded into cargo = 600 pounds
To achieve a balance , no more Than 400 pounds may be taken off the plane
Hence,
Number of pounds removed must not be more than 400 pounds
(8 pounds * b) ≤ 400
8b ≤ 400
Divide both sides by 8
b ≤ 50
An Integrated Circuit (IC) chip is declared as "good" if it passes the quality acceptance test. Otherwise, the chip is declared as "bad". A mechanical machine produces two IC chips in pairs. Tests show that the first chip is good with probability 3/5. When the first chip is good, the probability that the second chip is good is 4/5. When the first chip is bad, the probability that the second chip is good is 2/5. a) What is the probability that both chips are good? b) What is the probability that both chips are bad? c) What is the probability that exactly one chip is good?
Answer:
a) The probability of both chips being good = 0.48
b) The probability of both chips being bad = 0.24
c) The probability of one chip being good = 0.60
Step-by-step explanation:
Probability of first chip being good = 3/5 = 0.60
Probability of second chip being good = 4/5 = 0.80
Probability of first chip being bad = 0.40 or 2/5 (1 - 3/5)
Probability of second chip being good if the first is bad = 2/5 = 0.4
Therefore, the probability of it being bad = 0.60 (1 - 0.40)
For both chips to be good, the probability = 0.60 * 0.80 = 0.48
For both chips to be bad, the probability = 0.60 * 0.40 = 0.24
How many times can 5 go into 33
Answer:
6 times
Step-by-step explanation:
33÷5
5×5= 25 too little
5×6=30 just right
5×7= 35 too much
Answer:
5,10,15,20,25,30,3- oh wait its only 6 mate... but for a full answer, it would be 6.2
Step-by-step explanation:
i think...
What is 0.4 as a percent?
Answer:40%
.4 is equal to 40%
Chris pays $19.60 for a packof 4 towels. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent.
Answer:$4.90
Step-by-step explanation:
you deposit 2000 each year into an account earning 3% interest compounded annually. How much will you have in the account in 15 years?
Answer:
It should be $2,900
Step-by-step explanation:
First you convert the percentage to decimal form out of 100
3%/100 = 0.03
A = P(1 + rt)
A = 2000(1 + 0.03 x 15)
Which you should get $2,900 or $2,900.00 (which is pretty much the same thing)
Hope this helps!
find the value of x.
Answer:
144
Step-by-step explanation:
If Maggie has 6 feet of ribbon how many sections of ribbon can she cut that are 2/3 of a foot in length
Answer:
9 sections
Step-by-step explanation:
6÷2/3
6/1×3/2
18/2
9
Alexis sold boxes of homemade granola bars for $8.50 each. It cost her $2.25 to bake and package each box of granola bars. What was her profit from selling each box of granola bars? (profit = price - cost)
Answer: 6.25 is her profit
Step-by-step explanation: cost-price= protect
2.25 - 8.50=6.25
Find the product of -5.3(-0.5)
A. 4.1
B. 2.65
C. 2.75
D. 3.45
Answer: is B 2.65
Step-by-step explanation:
A recipe for homemade modeling clay includes 1/3 cup of salt for every cup of water. If there are 6 cups of salt, how many gallons of water are needed?
Answer:
Step-by-step explanation:
If for a cup of water, 1/3 cup of salt is needed, to get the number of gallons of water needed for 6 cups of salt, we will use the following equation;
1/3 cup of salts = 1 cup of water
6 cups of salt = x cups of water
cross multiply
1/3 * x= 6*1
x/3 = 6
multiply both sides by 3
x/3 * 3 = 6*3
x = 18
Hence 6 cups of salt will need 18 gallons of water
Please help me asap
Answer:
-8d - 3 + 6 +d
you can't subtract 2d and 3 so you bring what's outside the parenthesis to inside the parenthesis
If a car travels 82 miles in 1.5 hours, how far will it travel in 6 hours
9.8x7.6 multiple I need help please
Answer:
74.48
Step-by-step explanation:
Just Multiply 9.8 and 7.6
Answer:
74.48
Step-by-step explanation:
9.8x7.6= 74.48
All you need to do is line up the numbers and multiply like normal if you get a ten or higher it will go to the next number up
89,659 to the nearest thosannd
Answer:
100,000
Step-by-step explanation:
WidgCo is a company that produces and sells widgets. Let p denote the price per widget (measured in dollars), and let x be the monthly demand for widgets. WidgCo's marketing department determines that p and x are related by the following demand equation: p(x) = 211 − 5x. The cost of producing x widgets is given by C(x) = 1,401 + 16x. Construct the revenue function, R(x). Find the production level that will result in the maximum revenue. Find the maximum monthly revenue. Enter your answer to part c in the box below. Round your answer to the nearest cent.
Answer:
The answer to this question can be defined as follows:
i) [tex]\bold{p(x)= -5x^2+ 217x- 1,401} \\[/tex]
ii) x=22 units
iii) Maximum profit: 953.45
Step-by-step explanation:
Given value:
p(x) = 211 − 5x \\
C(x) = 1,401 + 16x
The formula for calculating the profit function value:
[tex]\to \bold{P(x)= xp(x) - C(x)}[/tex]
[tex]= x(211-5x)- 1,401 + 16x\\\\= 211x -5x^2-1,401+16x\\\\= -5x^2+ 217x- 1,401 \\[/tex]
The formula for calculating the value for maximum profit:
[tex]p'(x) = - 10x + 217 =0[/tex]
[tex]217= 10x\\\\x= \frac{217}{10}\\\\x= 21.7[/tex]
So, the production level is 22 units
Maximum profit:
[tex]\to p(21.7)= - 5 (21.7)^2+217 (21.7) -1,401\\\\[/tex]
[tex]=-5 (470.89) +217 (21.7) -1,401\\\\=-2354.45+ 4708.9-1,401\\\\= 953.45[/tex]
The maximum monthly revenue of WidgCo is; $489
We are given;price function; p(x) = 211 - 5x
Cost function; C(x) = 1401 + 16x
We know that revenue would be gotten by the formula;Revenue = number of units sold × price per unit
Thus;
R(x) = x(211 - 5x)
Expanding this gives;
R(x) = 211x - 5x²
Maximum revenue will be the revenue for the number of widgets when R'(x) = 0. Thus;R'(x) = 211 - 10x
At R'(x) = 0, we have;
211 - 10x = 0
x = 211/10
x = 21.1
x ≈ 21 widgets
Thus;Maximum Revenue is;
R(20) = 195(21) - 1401 - 5(21)²
R(20) = $489
Read more about revenue function at; https://brainly.com/question/6394733
I need help with answering this equation -2x = -16
Answer:
x= 8
Step-by-step explanation:
Divide -2 on both sides to solve for x
x=8
Answer:
x=8
Step-by-step explanation:
Divide each term by -2 and simplify.
Hope this helps. Plz give brainliest.
Which theorem or postulate proves the two triangles are similar?
10
20
5
Not drawn to scale
SSS Theorem
AA Postulate
O AS Postulate
SAS Theorem
Answer:
sss i think
Step-by-step explanation:
uh im not 100% sure
A right rectangular prism is packed with cubes of side length Fraction 1 over 6 inch. If the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?
Cuánto es 5 2/3 - 11/12=
Answer:
4.75
Step-by-step explanation:
When two dice are rolled, 36 equally likely outcomes are possible as shown below.
(1,1) (1,2) (1,3) (1.4) (1,5) (1,6)
(2, 1) (2, 2) (2,3) (2,4) (2,5) (2, 6)
(3, 1) (3, 2) (3,3) (3, 4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5, 1) (5,2) (5,3) (5, 4)
(5,5)
(5,6)
(6, 1) (6,2) (6,3) (6,4) (6,5)
(6,6)
Let x be the product of the numbers. Let P be the probability of the desired outcome. Compare the following charts and
determine which chart shows the probability distribution for the product of the two numbers.
Answer: chart b
Step-by-step explanation:
2 is only a product of the outcomes 1/18 times
3 is only a product of the outcomes 1/18 times
4 is only a product of the outcomes 1/12 times
5 is only a product of the outcomes 1/18 times
6 is only a product of the outcomes 1/9 times
and so on
The chart that shows the probability distribution for the sum of the two numbers is chart B.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
When two dice are rolled, 36 equally likely outcomes are possible
The sum of the 36 outcomes are as follows: 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12
The number of the sums are as follows:
n(2) = 1
n(3) = 2
n(4) = 3
n(5) = 4
n(6) = 5
n(7) = 6
n(8) = 5
n(9) = 4
n(10) = 3
n(11) = 2
n(12) = 1
The probability of the sums are given as follows:
p(2) = 1/36
p(3) = 2/36 = 1/18
p(4) = 3/36 = 1/12
p(5) = 4/36 = 1/9
p(6) = 5/36
p(7) = 6/36 = 1/6
p(8) = 5/36
p(9) = 4/36 = 1/9
p(10) = 3/36 = 1/12
p(11) = 2/36 = 1/18
p(12) = 1/36
Therefore, the chart that shows the probability distribution for the sum of the two numbers is chart B.
To learn more on probability click:
https://brainly.com/question/11234923
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Which of the following statements best describes our Sun?
Answer:
the sun is the closest star to earth.
Answer:
the sun is the closet sun to the earth
Step-by-step explanation:
what is 2,970,000 in scientific notation
Answer:
i think its 2.97 x 106
Step-by-step explanation:
hope its right/helps
Line l passes through the points (- 4, 3) and (2, 1) What is the slope of a line that is perpendicular l
Answer:
m=1
Step-by-step explanation:
The plots (-4,3) and (2,1) have a slope of -1. Perpendicular lines would mirror that, making it a positive 1
You can walk 1 1/12 miles in 1/2 hour.
What is your average speed?
Answer:
3 miles per hour
Step-by-step explanation:
there are (2) 1/2 hours in an hour (I hope that made sense) so multiply 1 1/2 by 2 to get 3
Hope this helps :-)
please solve thanks
What is the scale factor of ABC to DEF?
A.6
B.8
C.1/8
D.1/6
Answer:
eight
Step-by-step explanation:
The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.
What is a scale factor?The scale factor between two figures (any dimensions) is the scale to which the original figure (preimage) is multiplied to make the transformed figure (image).
How do we solve the given question?In ΔABC and ΔDEF,
AB/DE = BC/EF = CA/FD (Corresponding sides of triangle are in ratio)
∴ ΔABC ~ ΔDEF (SSS axiom)
The scale factor = A side of ΔDEF/Corresponding side of ΔABC = DE/AB = 48/6 = 8.
∴ The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.
Learn more about the scale factor at
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2) The foundations of any Euclidean geometry, at their most basic, exist on the principal concepts of which of
the following?
a) Undefined terms
c) Postulates
b) Theorems
d) Assumptions
Answer:
c im pretty sure but not 100%
Step-by-step explanation:
edge
Name three Apex predators
Answer:
lions, tigers, and bears
Step by-step explanation:
They are apex predators because they are on top of the food chain.
Suppose a number is chosen at random from the set {0,1,2,3,...,497}.
What is the probability that the number is a perfect cube?
===========================================================
Explanation:
Cube values in the set {0,1,2,3,...} until we reach a result larger than 497
0^3 = 01^3 = 12^3 = 83^3 = 274^3 = 645^3 = 1256^3 = 2167^3 = 3438^3 = 512We stop here because 512 is larger than 497.
Or you could note that [tex]\sqrt[3]{497} = 497^{1/3} \approx 7.921[/tex] helping us see that we stop at 8.
The list of nonnegative perfect cubes less than 497 is {0,1,8,27,64,125,216,343}
There are 8 items in that set out of 498 items in the set {0,1,2,3,...,497}
So the probability of getting a perfect cube is 8/498 = 4/249
Function or not?? Please help
Answer:
not a function
Step-by-step explanation:
This would not pass the vertical line test, so it is not a function
Answer:
This not a function
Step-by-step explanation:
