Answer:
1. 1 * = (it will be equal to the sixth root of x cube)
2. No, the expression X X will be equal to since the powers of numbers with the same base are added
3. B and D 1/ is the same as 'x'
as mentioned in the last answer, powers of numbers with same base are added. hence, option D will be which will be equal to x
Answer:
The probability that the O-ring came from Galshus and Sons given that it is defective is 0.359.
Step-by-step explanation:
Probability of getting O-ring from Little Rock Plastics = 0.29
Probability of getting O-ring from Galshus and Sons = 0.71
Probability of getting Defective Rings from Little Rock Plastics = 0.04
Probability of getting Defective Rings from Galshus and Sons = 0.10
Denoting Little Rock Plastics as LRP, Galshus and Sons as GS and Defective as D, we can write:
P(LRP) = 0.29
P(GS) = 0.71
P(D ∩ LRP) = 0.04
P(D ∩ GS) = 0.10
We are given that an O-ring is found to be defective and we need to find the probability that it came from Galshus and Sons so we will use the conditional probability formula for calculating the probability that the O-ring came from Galshus and Sons given that it is defective.
P(GS|D) = P(D ∩ GS)/P(D)
We need to compute P(D) first. So,
P(D) = P(D|GS) + P(D|LRP)
= P(D∩GS)/P(GS) + P(D∩LRP)/P(LRP)
= 0.10/ 0.71 + 0.04/0.29
= 0.1408 + 0.1379
P(D) = 0.2787
P(GS|D) = P(D ∩ GS)/P(D)
= 0.10/0.2787
= 0.3587
P(GS|D) = 0.359
Using Bayes' theorem, the probability that a defective O-ring came from Galshus and Sons is approximately 0.802 or 80.2%
To find the answer to your question, we need to use Bayes' theorem. This theorem refers to the probability of an event, based on prior knowledge of conditions that might be related to the event. First, let us identify the following:
Probability of choosing an O-ring from Little Rock Plastics (L), P(L) = 0.29
Probability of choosing an O-ring from Galshus and Sons (G), P(G) = 1 - P(L) = 0.71
Probability that an O-ring from Little Rock is defective, P(D|L) = 0.04
Probability that an O-ring from Galshus and Sons is defective, P(D|G) = 0.10
By Bayes' theorem, the probability that a defective O-ring came from Galshus and Sons is given by: P(G|D) = [P(G) * P(D|G)] / [P(L) * P(D|L) + P(G) * P(D|G)]
Upon substitution, P(G|D) = [0.71 * 0.10] / [0.29 * 0.04 + 0.71 * 0.10]. This equates to approximately 0.802, or 80.2%, meaning there is a 80.2% chance that the defective O-ring came from Galshus and Sons.
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of o?
Answer: y = 5
Step-by-step explanation:
If the slope is 0, the graph of the line is a horizontal line (parallel to the x-axis). 0 slope means it is flat.
Here it passes through the y-axis at +5 and passes through every value of x.
The equation of a line with slope 0 that passes through the point (-8,5) is y = 5.
The equation of a line can be found using the slope-intercept form y = mx + b, where 'm' represents the slope and 'b' is the y-intercept. The given slope of the line is 0, which means the line is horizontal with equation y = b. However, our line needs to pass through the point (-8,5), and at this point, the y coordinate is 5. Hence, for this line, b equals 5. So, the equation of the line is y = 5.
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Answer:
a) What is the cost of a chicken shawarma wrap?
$10.99
b) What is the cost of one order of spiced potatoes?
$4.99
c) If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?
3x + 2y = $42.95 .............Equation 1
5x + 4y = $74.91 ................Equation 2
Step-by-step explanation:
Let x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes,
Cost of a chicken sharwarma wrap = x
Cost of an order of spiced potatoes = y
Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95.
3x + 2y = $42.95 .............Equation 1
Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91.
5x + 4y = $74.91 ................Equation 2
Hence, the Equations needed to solve the question is:
3x + 2y = $42.95 .............Equation 1
5x + 4y = $74.91 ................Equation 2
We use Elimination method to solve for this.
Multiply Equation 1 by coefficient of x in Equation 2
Equation 2 by coefficient of x in Equation 1
3x + 2y = $42.95 .............Equation 1 × 5
5x + 4y = $74.91 ................Equation 2 × 3
15x + 10y = 214.75..............Equation 3
15x + 12y = 224.73..............Equation 4
Subtract Equation 3 from Equation 4
2y = 9.98
y = 9.98/2
y = 4.99
Therefore, y = Cost of an order of spiced potatoes = $4.99
Subtitute 4.99 for y in Equation 1
3x + 2y = $42.95 .............Equation 1
3x +2(4.99) = 42.95
3x + 9.98 = 42.95
3x = 42.95 - 9.98
3x = 32.97
x = 32.97/3
x = 10.99
x = Cost of a chicken sharwarma wrap = $10.99
Therefore,
The cost of a chicken sharwarma wrap = $10.99
The cost of an order of spiced potatoes = $4.99
Answer:
Would you be able to write it in english so i can help you.
Step-by-step explanation: