Answer:
B
y = 3 cos (pi/12x - pi/4) + 17
Step-by-step explanation:
First find the average temperature which is 20 + 14/2 = 17
Find the amplitude
20 - 17 = 3
This means that that at noon, the shift is 3hrs past
the best equation that represents this scenario is
Answer:
16%
Step-by-step explanation:
First, calculate the z-score.
z = (x − μ) / σ
where x is the value,
μ is the mean,
and σ is the standard deviation.
z = (12.5 − 11) / 1.5
z = 1
What this means is that 12.5 is 1 standard deviation above the mean.
According to the empirical rule, 68% of a normal distribution is between -1 and +1 standard deviations. That means 32% is outside of that range. Since normal distributions are symmetrical, we can say that 16% is less than -1 standard deviations, and 16% is greater than +1 standard deviations.
Therefore, the probability that a man's shoe is greater than or equal to 12.5 (greater than +1 standard deviations) is 16%.
Answer:
<h3>X=-1/8=-0.125</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
x+2/4=3/8
2/4=1/2 (First, use the common factor of 2.)
x+1/2=3/8
x+1/2-1/2=3/8-1/2 (Then, subtract 1/2 from both sides.)
3/8-1/2 (Solve.)
3/8-1/2=-1/8
-1/8=-0.125
x=-1/8=-0.125
In conclusion, the final answer is x=-1/8=-0.125.
Answer:
The graph has 1 x-intercept
Step-by-step explanation:
Given
Required
- Discriminant of f
- Number of x intercepts
Let D represent the discriminant;
D is calculated as thus
Where a, b and c are derived from the following general format;
By comparing with
We have
Solving further;
So, D can now be calculated;
becomes
Hence, the discriminant of f is 0
From the value of the discriminant, we can determine the number of x intercepts of the graph;
When D = 0, then; there exists only one x-intercept and it as calculated as thus
Recall that
So, becomes
Answer:
50% increase.....
original=50.
new=100.
different between original and new(price increased) =50
then,
in percentage
=50%