Answer:
Does not exceed 2% in both cases.
Step-by-step explanation:
Given that a manufacturer of interocular lenses will qualify a new grinding machine if there is evidence that the percentage of polished lenses that contain surface defects does not exceed 2%.
Sample proportion =
Create hypothesses as
(Right tailed test at 5% significance level)
P difference = 0.004
Std error = 0.0089
test statistic Z = p diff/std error = 0.4518
p value = 0.326
Since p >alpha, we accept nullhypothesis
b) For confidence interval 97% we have
Margin of error = 2.17* std error = 0.0192
Confidence interval
=
Since 2% = 0.02 lies within this interval we accept null hypothesis.
Does not exceed 2%
Since
Answer: for parallel its 3 for perpendicular its negative 3
Step-by-step explanation: parallel its the same perpendicular is negative
Answer:
x = 0
y= -3
Step-by-step explanation:
x = y + 3 into the equation y = -4x - 3, so
y = -4(y+3) - 3
y = -4y - 12 - 3
y = -4y - 15
5y = -15
y = -3
Then, you can substitute this into the equation x = y + 3
Answer:
Option b). The sum is a binomial with a degree of 3.
Step-by-step explanation:
The given polynomials are,
1). 6s²t – 2st²
2). 4s²t – 3st²
<u>Sum of polynomials</u>
Sum = (6s²t – 2st²
) + (4s²t – 3st²)
Sum = 6s²t + 4s²t - 2st² - 3st²
Sum = 10s²t - 5st²
degree = 2 + 1 = 3
It is a binomial with degree of 3.
Therefore the correct answer is option b).The sum is a binomial with a degree of 3.
The answer is (z - 3) (w + 6)