The answer is d i honestly just typed it into the computer
Answer:
x = 25
<B = 120 degrees
<C = 30 degrees
Step-by-step explanation:
Total angle measure of a triangle - 180 degrees
Add all the angles together to find the value of x
30 + 4x + 20 + x + 5 = 180
55 + 5x = 180
55 - 55 + 5x = 180 - 55
5x = 125

x = 25
<B = 4(25) + 20
<B = 100 + 20
<B = 120
<C = 25 + 5
<C = 30
Answer: our function is:
f(x) = A*sin(2*pi*270s*x)
Step-by-step explanation:
We have that the frequency of a given engine is 270 hz, it starts at 0, so we may represent this with a sin function (because sin(0) = 0)
Then we could use the function
f(x) = A*sin(c*x)
A is the maximum intensity of the hum, and c depends on te frequency, we know that the period of a sin function is 2pi, then:
f = 270/s
T = 1/270s
c*1/270s = 2pi
c = 2*pi*270s
Then our function is:
f(x) = A*sin(2*pi*270s*x)
Answer:
the missing angle is 130
Step-by-step explanation:
180-50=130
Answer:
There is a 25.14% probability that the order will not be met during a month.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean \mu and standard deviation
, the zscore of a measure X is given by

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
.
The order will not be met if
. So we find the pvalue of Z when
, and subtract 1 by this value.



has a pvalue of 0.7486.
So there is a 1 - 0.7486 = 0.2514 = 25.14% probability that the order will not be met during a month.