Answer:
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.2905 - 0.0002 = 0.2903 mm
The upper end of the interval is the sample mean added to M. So it is 0.2905 + 0.0002 = 0.2907 mm
The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm
Answer:
AAS method can be used to prove that the two triangles are congruent.
Step-by-step explanation:
According to the question for the two triangles one pair of opposite angles are equal. One another pair of angles are equal for the two and one pair of sides are also equal of the two.
Hence, the two given triangles are congruent by AAS rule.
Hence, AAS method can be used to prove that the two triangles are congruent.
Answer:
{w} is the SUBSET of {s,w,n,t,c}
Step-by-step explanation:
SUBSET: Any set P is called a SUBSET of a set Q is ALL ELEMENTS of P are in the set Q.
i.e P ⊂ Q
Here, the given set Q = {s,w,n,t,c}
Also, set P = {w}
Now,as the element w of set P is also an element of set Q.
⇒ P is the SUBSET of Q
⇒ P ⊂ Q
⇒ {w} ⊂ {s,w,n,t,c}
Hence, {w} is the SUBSET of {s,w,n,t,c}.
Answer:
112
4 to the second power is 16, multiply by 7 get 112
Step-by-step explanation:
