The product of y and 9
Answers
The expression for the product of y and 9 is 9y.
What is an expression?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The product of y and 9.
This can be written as,
= 9y
Thus,
The expression is 9y.
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Answer:
9y
Step-by-step explanation: Product is also the same thing of multiplication so 9 x y equals to 9y.
~~~~Inuola1234
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Answers
Answer:
0.857 miles in 1 hour
Step-by-step explanation:
It is given that,
A crew of highway workers paved 12 mile in 14 hour.
We need to find how much will they pave in 1 hour if they work at the same rate.
14 hours = 12 miles
To find how much they pave in 1 hour, we must divide 12 by 14 as follows :
Hence, they pave 0.857 miles in 1 hour.0.857 miles in 1 hour.
Answers
Answer:
Step-by-step explanation:
Using normal distribution,
z = (x - μ)/σ
μ= mean = 44 and
σ = standard deviation= 5.0
a) The probability that yield strength is at most 40=
P( x lesser than or equal to 40)
z = (40-44)/5= -0.8
Looking at the normal distribution table,
P( x lesser than or equal to 40) =0.2119
b) P(x greater than 62) = 1 - P(x lesser than or equal to 62)
z = (62-44)/5= 3.6
Looking at the normal distribution table,
P(x greater than 62) = 1 -0.99984
= 0.00016
c)P( 42 lesser than or equal to x lesser than or equal to 62)
= P(x lesser than or equal to 62) - P( x lesser than or equal to 40)
= 0.99987-0.2119= 0.78797
d) What yield strength value separates the strongest 75% from the others.
To get x for strongest 75, we get the z value corresponding to 0.75 from the table
z = 0.675= (x-44)/5
x = 3.375+44 = 47.375
The rest is 25% = 0.25
we get the z value corresponding to 0.25 from the table)
z = -0.67 = (x-44)/5
-3.35= x -44
x = -44+3.35= 40.65
yield strength value that separates the strongest 75% from the others
=47.375-40.65= 6.725
Final answer:
The probability that the yield strength is at most 40 is approximately 0.2119 and the probability that it is greater than 62 is approximately 0.0001. The yield strength value that separates the strongest 75% from the others is approximately 40.628 ksi.
Explanation:
This question is about calculating probabilities and percentiles using the properties of the normal distribution. The yield strength for the A36 grade steel is normally distributed with a mean (μ) of 44 and a standard deviation (σ) of 5.0.
(a) To find the probability that the yield strength is at most 40, we will need to calculate the Z-score value for the yield strength of 40. The Z-score can be calculated using the following formula: Z = (X - μ) / σ , where X is the observed value, μ is the mean, and σ is the standard deviation. For X = 40, μ = 44, and σ = 5.0, the Z-score is -0.8. Looking up the Z-score in the standard normal distribution table, the probability that the yield strength is at most 40 is approximately 0.2119. Using a similar process, we find that the probability that the yield strength is greater than 62 is less than 0.0001, very close to zero.
(b) To determine the yield strength value that separates the strongest 75% from the others, we find the Z-score that corresponds to a cumulative probability of 0.25 in the standard normal distribution table (because the strongest 75% corresponds to the weakest 25%). That Z-score is approximately -0.6745. Using the formula Z = (X - μ) / σ to solve for X gives us X = σZ + μ = 5.0 * -0.6745 + 44 = 40.6275, which rounded to three decimal places is 40.628.
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Answers
Answer: LCM(4,12) = 12
Step-by-step explanation:
This of this as singing all the multiples of 4
4, 8, 12.
4 + 4 + 4.
Answer:
2
Step-by-step explanation:
Answers
There are a couple different ways to get this answer. You could:
A. Subtract 127 from (positive) 225, to get the height difference. Or...
B. Subtract the starting height from the ending height (-127 - (-225)) which would also give you the height difference.
I hope this helps!
Answers
Answers
Completed question:
In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is 0.127. Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?
Answer:
0.557
Step-by-step explanation:
For each game, the probability of not end in a draw is 1 - 0.127 = 0.873. Thus, because each game is independent of each other, the probability of all of them not end in a draw is the multiplication of the probability of each one:
0.873x0.873x0.873x...x0.873 = 0.873⁶ = 0.443
Thus, the probability that at least one of them end in a draw is the total probability (1) less the probability that none of them en in a draw:
1 - 0.443
0.557