identify an equation in point slope form for the line perpendicular to y=-2x+8 that passes through (-3,9)
1 answer:
Answer:
y - 9 = 1/2(x + 3)
Step-by-step explanation:
find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2
substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:
=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)
point-slope form:
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Answer:
c) 0.932
99% confidence interval for average weights of all packages sold in small meat trays.
(0.932 ,1.071)
Step-by-step explanation:
Explanation:-
Given random sample of 35 packages in small meat trays produced weight with an average of 1.01 lbs. and standard deviation of 0.18 lbs.
size of the sample 'n' = 35
mean of the sample x⁻= 1.01lbs
standard deviation of the sample 'S' = 0.18lbs
<u>The 99% confidence intervals are given by</u>
The degrees of freedom γ=n-1 =35-1=34
tₐ = 2.0322
99% confidence interval for average weights of all packages sold in small meat trays
( 1.01 - 0.06183 , 1.01+0.06183)
(0.932 ,1.071)
<u>Final answer</u>:-
<u>99% confidence interval for average weights of all packages sold in small meat trays.</u>
<u>(0.932 ,1.071)</u>
Answer:
C. 4.2a + 0.8
Step-by-step explanation:
Given:
The two binomials given for addition are:
and
Now, adding both the binomials, we get:
Distributing the positive sign inside the second binomial, we get:
Now, combining like terms using the commutative property of addition, we get:
Simplifying the above expression, we get:
Therefore, the resulting addition of the given binomials is
Hence, option C is the correct answer.