Answer:
1 mile and 240 yards
Step-by-step explanation:
Answer:
23.75%
Step-by-step explanation:
Use formula

where
I = interest,
P = principal,
r = rate (as decimal),
t = time (in years).
In your case,

Substitute:

Answer:
51°
Step-by-step explanation:
Remember, all 3 angles must add up to 180°
We can tell that this triangle is a right triangle, or a triangle that has a 90° angle. We also have another angle given, which is 39°. Currently we have two angles given.
Since all 3 angles have to add up to 180°,
90 + 39 + x = 180°
129 + x = 180°
180 - 129 = x
x = 51°
The missing angle is 51°
To see if your calculation is correct, you could add all 3 angles, and it should give you 180 as a sum.
90 + 39 + 51 = 180
Correct!
Answer:
The mean is 40.35 and the standard deviation is 0.13.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.
Sample of 10:
By the Central Limit Theorem, the mean is 40.35, and the standard deviation is 
The mean is 40.35 and the standard deviation is 0.13.
Answer: Focus = (-2, 3)
<u>Step-by-step explanation:</u>

First let's find the vertex. We do that by finding the Axis-Of-Symmetry:

Then finding the maximum by inputting x = -2 into the given equation:

The vertex is: (-2, 4)
Now let's find p, which is the distance from the vertex to the focus:

The vertex is (-2, 4) and p = -1
The focus is (-2, 4 + p) = (-2, 4 - 1) = (-2, 3)