Answer:
Yes there is sufficient evidence.
Null hypothesis; H_o ; μ = 445
Alternative hypothesis; H_o ; μ ≠ 445
Step-by-step explanation:
The null hypothesis states that there is no difference in the test which is denoted by H_o. However, the sign of null hypothesis is denoted by the signs of = or ≥ or ≤.
Meanwhile, the alternative hypothesis is one that defers from the null hypothesis. This therefore implies a significant difference in the test. Thus, the signs of alternative hypothesis is denoted by; < or > or ≠.
Now, the question we have is a two tailed test. Thus;
The null hypothesis is;
bag filling machine works correctly at the 445 gram setting which is;
H_o ; μ = 445
The alternative hypothesis is;
bag filling machine works incorrectly at the 445 gram setting which is;
H_o ; μ ≠ 445
Answer:
1. m ∠ 1 = 113°
2. m ∠ 2 = 67°
3. m ∠ 4 = 67°,
4. m ∠ 5 = 113°
5. m ∠ 6 = 67°
6. m ∠ 7 = 113°
7. m ∠ 8 = 67°
Step-by-step explanation:
Given AB║CD and m║n and m∠3=113°
Solution, since m and n are parallel lines so AB and CD are transversal lines.
So ∠2 and ∠3 makes a linear pair whose sum is equal to 180°.
(∠2 and ∠8),(∠3 and ∠7),(∠1 and ∠5),(∠4 and ∠6) are alternate interior angles.
(∠2 and ∠4),(∠1 and ∠3),(∠5 and ∠7),(∠6 and ∠8) are corresponding angles.
When two lines are parallel and their is a transversal line then the measure of alternate angles are equal and also the measure of corresponding angles are equal.
![m\angle 2 + m\angle 3 = 180\\m\angle 2 + 113 = 180\\m\angle2=180-113=67\\m\angle2=m\angle8=67 \ (alternate\ interior\ angle)\\m\angle3=m\angle7=113 \ (alternate\ interior\ angle)\\m\angle3=m\angle1=113 \ (corresponding\ angle)\\m\angle2=m\angle4=67 \ (corresponding\ angle)\\m\angle4=m\angle6=67 \ (alternate\ interior\ angle)\\m\angle1=m\angle5=113 \ (alternate\ interior\ angle)](https://tex.z-dn.net/?f=m%5Cangle%202%20%2B%20m%5Cangle%203%20%3D%20180%5C%5Cm%5Cangle%202%20%2B%20113%20%3D%20180%5C%5Cm%5Cangle2%3D180-113%3D67%5C%5Cm%5Cangle2%3Dm%5Cangle8%3D67%20%5C%20%28alternate%5C%20interior%5C%20angle%29%5C%5Cm%5Cangle3%3Dm%5Cangle7%3D113%20%5C%20%28alternate%5C%20interior%5C%20angle%29%5C%5Cm%5Cangle3%3Dm%5Cangle1%3D113%20%5C%20%28corresponding%5C%20angle%29%5C%5Cm%5Cangle2%3Dm%5Cangle4%3D67%20%5C%20%28corresponding%5C%20angle%29%5C%5Cm%5Cangle4%3Dm%5Cangle6%3D67%20%5C%20%28alternate%5C%20interior%5C%20angle%29%5C%5Cm%5Cangle1%3Dm%5Cangle5%3D113%20%5C%20%28alternate%5C%20interior%5C%20angle%29)
Hence the measure of all angles are:
1. m ∠ 1 = 113°
2. m ∠ 2 = 67°
3. m ∠ 4 = 67°,
4. m ∠ 5 = 113°
5. m ∠ 6 = 67°
6. m ∠ 7 = 113°
7. m ∠ 8 = 67°
18 + 10i - 63i - 35i
= 18 - 88i
Answer:
-15
Step-by-step explanation:
What
The answer would be A. I gochu homie