Answer:

Step-by-step explanation:
There are a couple of ways to solve this, depending on what you already know.
Point-Slope Form
where <em>m</em> is the slope and
is a point on the line.
First, calculate the slope using the two given points
.
.
Fill in the point-slope pattern

There's the equation in slope-intercept form (
).
Slope-Intercept Form
Use
directly.
Find the slope just like the above, so
.
Now, plug one of the points (either one!) together with <em>m</em> into

Now you know the value of <em>b</em>, so the equation for the line is

Answer:
January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.
Step-by-step explanation:
z-score:
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
January:
The mean daily sales for January was $300 with a standard deviation of $20. On the 15th of January, the shop sold $310 of yogurt. This means, respectively, that
. So



February:
The mean daily sales for February was $320 with a standard deviation of $50. On the 15th of February, the shop sold $340 of yogurt. This means, respectively, that
. So



January had a higher z-score for sales on the 15th, and the value of that z-score was of 0.5.
Answer:
dh/dt = 0,07 ft/min
Step-by-step explanation:
The swimming pool has the shape of right circular cylinder, therefore its volume is
V(c) = π*x²*h
Where x is the radius of the base and h the height
We take differentiation on both sides of the equation to get:
dV/dt = π*x²*dh/dt
The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.
Then:
8 = π*x²*dh/dt
dh/dt = 8 / π*x²
dh/dt = 8/113,04
dh/dt = 0,07 ft/min
Answer:
it should be 187.6 if u got it wrong let me know so i can give u another answer
Step-by-step explanation: