The least common denominator of 12 and 18 is 36.
Given that fractions and .
Fraction: It is of the form p/q where q is not equal to zero.
∴p/q , q ≠ 0
Fractions: and
LCM of the denominator: 12 and 18
LCM of 12 and 18 = 36
Fraction 5/12:
Multiply numerator and denominator by 3.
Fraction 4/18:
Multiply numerator and denominator by 2.
Thus the common denominator of the fraction is 36.
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Answer:
36
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The slope (m) can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
Any pair of points will do. We can use the first two.
m = (2 -(-10))/(17 -15) = 12/2
m = 6
The slope of the line is 6.
Answer: 6
Step-by-step explanation:
Answer:
point of horizontal tangent is and point of vertical tangent is
Step-by-step explanation:
For a horizontal tangent it's slope should be zero thus
Thus the ordered pair of becomes (0,6) at this point tangent is horizontal
For a vertical tangent it's slope should be
Again differentiating the given curve we get
Thus the ordered pair of vertical tangent becomes (
1.0000
0.8810
0.8413
0.9987
The required probability that a bottle has a volume greater than 992 mL is 0.84134. Option C is correct
Given that,
A bottler of drinking water fills plastic bottles with a mean volume of 999 milliliters (ml) and a standard deviation of 7 ml. The fill volumes are normally distributed. What is the probability that a bottle has a volume greater than 992 mL, is to be determined
Probability can be defined as the ratio of favorable outcomes to the total number of events.
We use Z-statistic to find out the probability,
z = (x − μ) / σ
x = raw score = 992 mL
μ = population mean = 999 mL
σ = standard deviation
z = [992 − 999]/7
z = -1
P-value from Z-Table:
P(x<992) = 0.15866
P(x>992) = 1 - P(x<992) = 0.84134
Thus, the required probability that a bottle has a volume greater than 992 mL is 0.84134
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Answer:
0.8413
Step-by-step explanation:
Find the z score.
z = (x − μ) / σ
z = (992 − 999) / 7
z = -1
Use a chart or calculator to find the probability.
P(Z > -1)
= 1 − P(Z < -1)
= 1 − 0.1587
= 0.8413
Answer: 7
Step-by-step explanation:
For c, we are given this sum from 1 to 3 of . 1/2 is a constant , therefore, we can move it outside of the summation.
*I hope you can understand what I'm saying. I can't figure out how to type in summations into the equations section.
1/2∑₁³n²
This means you would multiply the sum of n² from 1 to 3 by 1/2.
We are told n=1 to n=3 so we would plug 1, 2, 3 into n.
1²=1
2²=4
3²=9
We would add them together since that is what the sum sign tells us to do.
1+4+9=14
Now that we know the sum, we multiply it with 1/2
14/2=7
Fake answers-reported cuz I’m rly tryna pass this shi.
Answer:
1) Y-6=-3/2(X-0) 2) Y= -3/2x+6 3) 3x+2y=12
Step-by-step explanation: