Answer:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Step-by-step explanation:
Information provided
represent the sample mean
represent the population deviation
sample size
represent the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Answer:

Step-by-step explanation:
Okay so we know that line on the triangle DEF that's parallel to the line BC is EF. This because they have the same slope and we can prove that while solving for slope-intercept form.
First we figure out our points for both the lines:
BC: 
EF: 
Now that we have our points we can use the slope formula to prove these two line have the same slope and are therefore parallel to eachother:
= Slope Formula
BC = 
EF = 
So now we proved that both of these lines have a slope of -1. Then we can use the slope intercept formula and one of the points from the line EF to find the y-intercept of the of line EF:
Let's use point = 


We used the formula and found that the y-intercept was
, so now we plug in all of our answers:

This is the complete answer but if you wanted to simplify it more you could write it as
, cause as long as you make the x negative in the equation it will always be as if you multiplied it by -1.
Answer:
3.4
Step-by-step explanation:
The opposite of a number is the same as the additive inverse of the number.
Two numbers are opposites, or additive inverses, if they add to zero.
For a positive or a negative number, just change its sign to find its opposite. For zero, its additive inverse is zero.
The opposite of -3.4 is 3.4.
Answer: 3.4
Answer:
ab=16
ca=4
4a=32
Step-by-step explanation:
a*b=8*2=16
c*a=1/2*8=4
4*a=4*8=32
hope it helped xx