Answer: The required probability is 0.008.
Step-by-step explanation:
Since we have given that
Probability of bachelor's degree = 0.45
Probability of working in nursing = 0.85
Probability of both = 0.4
So, Probability of getting a graduate is currently working in nursing, given that they earned a bachelor's degree would be :
Hence, the required probability is 0.008.
One way to solve this would be to graph both y=x^2+6x+18 and y=2 - 1/x. If the graph of the polynomial is always higher up (above) the graph of y=2-1/x, that alone is sufficient cause to state that the poly is always greater than 2-1/x.
You could also do this algebraically: write the inequality
x^2+6x+18 > 2 -1/x. This can be rewritten as x^2+6x+18-2+1/x > 0, or
x^2+6x+16+1/x > 0
Try x=-3. Then 9-18+16-1/3 = 6 2/3, which is greater than 0.
Or you could graph x^2+6x+16+1/x by hand or on a calculator. Is the graph always above the x-axis? If so, <span>x²+6x+18 is always greater than 2-1/x.
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It helps align the problem right. There is nothing to multiply there, so you have put a 0 or you'll get confused on what to do next.
It would be 40
Hope you have a good day Thanh you
Answer:
h(1) = 1.81 and h(2) = 21.44
Step-by-step explanation:
* Lets read the problem and solve it
- Evaluate means find the value, so evaluate h(x) means find the value
of it at the given values of x
∵ h(x) = 2.8x³ + 0.01x² - 1
∵ x = 1 and x = 2
- Then find h(1) by substitute x by 1 and find h(2) by substitute x by 2
# At x = 1
∴ h(1) = 2.8(1)³ + 0.01(1)² - 1
∴ h(1) = 2.8(1) + 0.01(1) - 1
∴ h(1) = 2.8 + 0.01 - 1
∴ h(1) = 1.81
# At x = 2
∴ h(2) = 2.8(2)³ + 0.01(2)² - 1
∴ h(2) = 2.8(8) + 0.01(4) - 1
∴ h(2) = 22.4 + 0.04 - 1 ⇒ simplify
∴ h(2) = 21.44
* h(1) = 1.81 and h(2) = 21.44