Answer:
0.04746
Step-by-step explanation:
To answer this one needs to find the area under the standard normal curve to the left of 5 minutes when the mean is 4 minutes and the std. dev. is 0.6 minutes. Either use a table of z-scores or a calculator with probability distribution functions.
In this case I will use my old Texas Instruments TI-83 calculator. I select the normalcdf( function and type in the following arguments: :
normalcdf(-100, 5, 4, 0.6). The result is 0.952. This is the area under the curve to the left of x = 5. But we are interested in finding the probability that a conversation lasts longer than 5 minutes. To find this, subtract 0.952 from 1.000: 0.048. This is the area under the curve to the RIGHT of x = 5.
This 0.048 is closest to the first answer choice: 0.04746.
Answer is 4.
Right angle= 90
50+ 10(4)= 90
Answer:
-f(3x - 1) + 2 = -18x² + 12x + 1
Step-by-step explanation:
Step 1: Find f(3x - 1)
f(3x - 1) = 2(3x - 1)² - 1
f(3x - 1) = 2(9x² - 6x + 1) - 1
f(3x - 1) = 18x² - 12x + 2 - 1
f(3x - 1) = 18x² - 12x + 1
Step 2: Plug in f(3x - 1)
-(18x² - 12x + 1) + 2
Step 3: Evaluate
-18x² + 12x - 1 + 2
-f(3x - 1) + 2 = -18x² + 12x + 1
-3 is in the opposite direction of V
Answer:
-x + 1 > 3, and 4x + 6 < -2
Step-by-step explanation:
The inequality reads x < -2, so the arrow follows any values that are less than -2. So we need to simplify each inequality in the following options to see which match x < -2.
-4x+3> -5 simplifies to x < 2 so it's wrong
-2x + 4 > -4 simplifies to x < 4 so it's wrong
-x + 1 > 3 simplifies to x < -2, so it's right
2x + 5 < -3 simplifies to x < -4, so it's wrong
4x+ 6 < -2 simplifies to x < -2, so it's right