Answer:
New balance = -151.89 + 4.5x
(where x is the value of the smaller deposit)
Step-by-step explanation:
The inicial balance was -126.89.
Then, it were made two deposits, one with the value of x, and one that is 3 1/2 times the other, that is, 3.5x.
Then, the customer made a withdraw of $25.
So, The new balance can be calculated as:
New balance = inicial balance + x + 3.5x - 25
New balance = -126.89 + 4.5x - 25
New balance = -151.89 + 4.5x
Let the boat speed in still water be b.
Let the current speed be c.
The speed going upstream is 20/4 = 5 mph.
The speed going downstream is 32/4 = 8 mph.
b - c = 5 ........(1)
b + c = 8 .......(2)
Adding equations (1) and (2) we get:
2b = 13
b = 13/2 = 6.5
Plugging in the value for b into equation (1) we find c = 1.5.
The boat speed in still water is 6.5 mph and the current speed is 1.5 mph.
4a-13=19 add 13 to both sides
4a=32 divide by 4 on both sides
a=8
Answer:
0.8413 is the required probability.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 4.00 centimeters
Standard Deviation, σ = 0.60 centimeters
Sample size, n = 16
We are given that the distribution of average diameter is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
P(diameter of sample is more than 3.85 centimeter)
P(x > 3.85)
Calculation the value from standard normal z table, we have,
0.8413 is the probability that the the average diameter of sample of 16 sand dollars is more than 3.85 centimeters.
The answer would be 249 with a remainder of 1
You would first put the 2 over the 4, as 2 times 2 is 4. Bring the 9 down. 2 goes into 9 about 4 times, but it has the remainder of 1. You bring the other 9 down, and now it says 19. 2 x 9 equals 18, so you put the 9 on top and there you have 249 with the remainder of 1.
