Answer:
Step-by-step explanation:
we are given a function
we would like to simplify it for h(-1)
in order to do so
substitute the value of x
by order of PEMDAS
simplify square:
simplify multiplication:
simplify addition:
simplify subtraction:
reduce fraction:
Answer:
Step-by-step explanation:
Given:
Given point P(6, 6)
The equation of the line.
We need to find the equation of the line perpendicular to the given line that contains P
Solution:
The equation of the line.
Now, we compare the given equation by standard form 
So, slope of the line 
, and
y-intercept 
We know that the slope of the perpendicular line 
So, the slope of the perpendicular line
From the above statement, line passes through the point P(6, 6).
Using slope intercept formula to know y-intercept.
Substitute point 
and 
So, the y-intercept of the perpendicular line
Using point slope formula.
Substitute and in above equation.
Therefore: the equation of the perpendicular line
18 x 3 + 12 - 1 x 34 + 13 - 2 x 56 = 67
<=Work=>
18 x 3 = 54
1 x 34 = 34
2 x 56 = 112
(54) + 12 - (34) + 13 - (112)
66 - 34 + 13 - 112
32 + 13 - 112
45 - 112
= 67
Answer:
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Answer:
Option A
The p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.
Step-by-step explanation:
Normally, in hypothesis testing, the level of statistical significance is often expressed as the so-called p-value. We use p-values to make conclusions in significance testing. More specifically, we compare the p-value to a significance level "α" to make conclusions about our hypotheses.
If the p-value is lower than the significance level we chose, then we reject the null hypotheses H0 in favor of the alternative hypothesis Ha. However, if the p-value is greater than or equal to the significance level, then we fail to reject the null hypothesis H0
though this doesn't mean we accept H0 automatically.
Now, applying this to our question;
The p-value is 0.023 while the significance level is 0.05.
Thus,p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.
The only option that is correct is option A.
