Answer:
f(x) is equal to -1 when x=3
Step-by-step explanation:
we have

This is a constant function
we know that
A <u>constant function</u> is a function whose output value is the same for every input value
therefore
when x=3 (input value)
The value of the function is y=-1 (output value)
Answer:
29.2 percent decrease
Step-by-step explanation:
the difference between 96 and 68 is 28 bucks
28 is what percent of 96
is over of
x/100 x 28/96
cross multiply=2800/96
divide 2800 by 96 and the answer is 29.1666
Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with
.
For the binomial distribution, the parameters are given as follows:
n = 100, p = 0.5.
Hence the mean and the standard deviation of the approximation are given as follows:
.
Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is <u>one subtracted by the p-value of Z when X = 66.5</u>.


Z = 3.3
Z = 3.3 has a p-value of 0.9995.
1 - 0.9995 = 0.0005.
0.0005 = 0.05%
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
-365
Step-by-step explanation:
-3x+7(-6-50)
- -3(-9)+7(-6-50)
- 27+7(-6-50)
- 27-42-350
- -15-350
- =-365