Answer:
So f(x) has no real greater than 8. Step - by - step explanation is shown in the attachment.
Step-by-step explanation:
Let f ( x) be a polynomial with real coefficients and with a positive lending coefficient.
If f(x) is divided by x-c and
a) if c>0 and all number in the bottom row of the synthetic division are non negative , then f(x) has no zero greater than c.
b ) if c<0 and the number in the bottom row of the synthetic division alternate in sign then f (x) has no zero less than c
As shown in the figure
Since the number in the bottom row of the synthetic division alternate in sign
So f(x) has no real greater than 8
Answer:
No
Step-by-step explanation:
For x and y to have a proportional relationship, then
the ratio of k =
must be equal for all points
(2, 5) → k =
= 2.5
(3, 7.5) → k =
= 2.5
(5, 12.5) → k =
= 2.5
(18, 8) → k =
= 2.25 ≠ 2.5
k is not equal for all values , hence no proportional relationship exists
Answer:
Step-by-step explanation:
cos(34) =sin(56)
cos(77)=sin(13)
sin(25)=cos(65)
sin(61)=cos(29)
Answer:
22.25 or 22
Step-by-step explanation:
360-276+=84
4x-5=84
4x=89
x=22.25 or 22
Answer:
0.3075 = 30.75% probability that a person will wait for more than 7 minutes.
Step-by-step explanation:
Problems of normally distributed samples are solved using 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.
The standard deviation is the square root of the variance.
In this problem, we have that:

Find the probability that a person will wait for more than 7 minutes.
This is 1 subtracted by the pvalue of Z when X = 7. So



has a pvalue of 0.6915
1 - 0.6915 = 0.3075
0.3075 = 30.75% probability that a person will wait for more than 7 minutes.