Answer:
hi
Step-by-step explanation:
Answer
Slope between two given points (1,3) and (2,7) is
m=
2−1
7−3
=4
Then perpendicular slope is m
1
=
4
−1
The line equation with this slope is given by
y=
4
−1
x+c.......(1)
Now, the above line passes through the point (−4,−3)
⇒−3=
4
−1
×(−4)+c
⇒c=−4
Therefore required line is 4y+x+16=0 (Substitute
′
c
′
in (1) and simplify)
Answer:
or 2/3
Step-by-step explanation:
because two flips out of 3 all together is 2/3
30/5 is 6, so c/3 is 6, and c is 6x3, so c is 18.
Answer:
Translated 1 to the right and up one
Step-by-step explanation:
When the number is inside the parenthesis with x, that value represents a horizontal shift. because the original equation is (x-h), the opposite sign of the x value must be taken. so in this case the x value would be +1 because that is the opposite of -1, which means the function is being moved one to the right. when the number is being added to the outiside of the parenthesis, then you take that value for the vertical translations of the graph. because the original equation is (x-h)+k, then in this case there would be a vertical shift up by 1
<h2><u>
Answer with explanation</u>
:</h2>
Let 
be the population mean.
As per given , we have
Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Also, population standard deviation is given 
, so we perform one-tailed z-test.
Test statistic : 
, where = Population mean
= Population standard deviation
n= sample size
= Sample mean
For n= 18 , 
, , 
, we have
P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\
=1- 0.0340=0.9660
Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.
[We reject null hypothesis if p-value is larger than the significance level . ]
Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .
