Answer:
a) integral = 24.72
b) |Error| ≤ 0.4267
Step-by-step explanation:
a)
The integral:
can be approximated with the midpoint rule, as follows:
6.7*(0.8 - 0.0) + 8.9*(1.6 - 0.8) + 6.9*(2.4-1.6) + 8.4*(3.2 - 2.4) = 24.72
(that is, all the intervals are 0.8 units length and f(x) is evaluated in the midpoint of the interval)
b)The error bound for the midpoint rule with <em>n</em> points is:
|Error| ≤ K*(b - a)^3/(24*n^2)
where <em>b</em> and are the limits of integration of the integral and K = max |f''(x)|
Given that -5 ≤ f''(x) ≤ 1, then K = 5. Replacing into the equation:
|Error| ≤ 5*(3.2 - 0)^3/(24*4^2) = 0.4267
Answer:
40
Step-by-step explanation:
highest=2(lowest)+7
Replace the variables here:
87=2(lowest)+7
minus 7 on both sides
80=2(lowest)
divide both sides by 2
40=lowest
Answer:
$51.30
Step-by-step explanation:
First, we find 25% of the original price, then we deduct that from the original price. Then, we find 10% of the price and deduct that also.
The original price is $76.
25% of $76 is:
= $19
We deduct $19 from $76:
76 - 19 = $57
We find 10% of $57:
= $5.7
Deducting this:
57 - 5.7 = $51.30
She will pay $51.30 for the jacket.
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL
a) For x < 210:
From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001
b) For x > 205:
For x < 215:
P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009
c) For x < 200:
From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001
d) For x > 222:
From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999
Step-by-step explanation:
sorry photo is not clear
