9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
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b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
Answer:
We conclude that there has been a significant reduction in the proportion of females.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 400
p = 50% = 0.5
Alpha, α = 0.05
Number of women, x = 118
First, we design the null and the alternate hypothesis
This is a one-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the critical value.
Now, 
Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there has been a significant reduction in the proportion of females.
Answer:01 50 Hrs
Step-by-step explanation:
If the soldier started patrol at 2230 hrs and his petrol lasted for 3 hours and 20 minutes, that means he was on patrol for that time.
The time he finished was therefore:
= 2230 + 320
= 2550
At 24 you begin at 0:00am so:
= 2550 - 2400
= 150
Patrol ended at 0150 hrs
The answer is c. 23 degrees. 697-360 is 337. 360-337 is 23.
I did this with a pencil and no calculator while my daughter was practicing her driving. Please let me know if you have trouble reading it. You'll have to add the calculator stuff yourself.
