Answer:
Step-by-step explanation:
Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury was heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.
Answer:
The answer is c.) 0.6 and 0.14
Step-by-step explanation:
Given population has a size of 320.
The proportion of population = 0.6
The mean of population, p = 0.6
The mean of sample, 
= 0.6
Therefore 
= 1 - = 1 - 0.6 = 0.4
The sample size = 12
Therefore the standard deviation of the sample,
The mean and the standard deviation for a sample size of 12 are 0.6 and 0.14 respectively.
The answer is c.) 0.6 and 0.14
Answer:C
Step-by-step explanation: When a table represents a nonlinear function, the rate of change is not constant. A wouldn't be the answer because the rate of change is always +10 (you would add 10 to get from -9 to 1; you would add 10 to get from 1 to 10) . It wouldn't be B because the rate of change is always -2, and the rate of change for D is always +3. For C, however, the rate of change is not constant all the way through (to get from 0 to 6, you would add 6, but to get from 6 to 16 you add 10).
You will pay $2.78 per mile for a total of 7 miles you will pay $19.50, but you must remember the taxi driver charges a $2.00 fixed rate so your final total will be $21.50
Answer:
x = 4, x ≠ -1
Step-by-step explanation:
√3x + 4 = x
(√3x + 4)² = x² (Square both sides to get rid of the radical.)
3x + 4 = x²
0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)
0 = (x - 4)(x + 1) (Factor.)
x = 4 x = -1
Now we need to check for extraneous solutions:
√3(4) + 4 = 4
√12 + 4 = 4
√16 = 4
4 = 4
√3(-1) + 4 = -1
√-3 +4 = -1
√1 = -1
1 ≠ -1
-1 is an extraneous solution.
