Answer:
Step-by-step explanation:
We have been given four choices out of which we need to select the choice which is trinomial.
Trinomial means polynomial having three terms.
A) c2 + c + 6
It has 3 terms.
B) c2 − 16
It has 2 terms.
C) −8c
It has 1 term.
D) c3 + 4c2 − 12c + 7
It has 4 terms.
We see that only choice A) has three terms.
Hence correct choice is
Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:
And an odd function has the following property:
So, let's test some values for cos(x).
Let's use π/3:
From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:
And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!
Answer:
P(X < 80) = 0.89435.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
P(X < 80)
This is the pvalue of Z when X = 80. So
has a pvalue of 0.89435.
So
P(X < 80) = 0.89435.