Answer:
y=-7/2x+10
Step-by-step explanation:
7x+2y=20
2y=20-7x
2y=-7x+20
y=-7/2x+20/2
y=-7/2x+10
Answer:
RS 3127.166
RS 107.834
Step-by-step explanation:
6 month bill :
Drawn date = Feb, 3
Discounted date = March 3,
Difference = 1 month
6 month - 1 month = 5 months = 5 * 30 = 150 days
Value of the bill :
P(1 - rate * time)
3235(1 - 0.08 * 150/360)
3235(1 - 0.08 * 0.4166666)
3235(1 - 0.0333333)
3235(0.9666666)
= Rs3127.1666
Value of bill = 3127.166
Bankers gain = 3235 - 3127.166 = 107.834
Answer:
16% probability that the facility needs to recalibrate their machines.
Step-by-step explanation:
We have to use the Empirical Rule to solve this problem.
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
What is the probability that the facility needs to recalibrate their machines?
They will have to recalibrate if the number of defects is more than one standard deviation above the mean.
We know that by the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% is more than 1 standard deviation from the mean. Since the normal distribution is symmetric, of those 32%, 16% are more than one standard deviation below the mean, and 16% are more than one standard deviation above the mean.
So there is a 16% probability that the facility needs to recalibrate their machines.
Answer:
Below in bold.
Step-by-step explanation:
f(x) = x(18x + 4)
f(x) = 18x^2 + 4x
Antiderivative = 18 * (x^2+1)/(2 + 1) -+4x(1+1) / (1+1) + C
= 18x^3 / 3 + 4x^2 / 2 + C
= 6x^3 + 2x^2 + C.
Checking by differentiating:
f'(x) = 6*3 x^(3-1) + 2*2x^(2-1)
= 18x^2 + 4x
= x(18 -+4)
Answer:
x^2+4y^2-8x+8y+4=0
Step-by-step explanation:
