Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as

here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.
Answer:
B' - (3,1)
C' - (3,8)
D' - (6,-1)
Step-by-step explanation:
Answer:
A. 88
Step-by-step explanation:
A circle is 360 degrees right ? so, 136 cant be right since 136 is almost half of a circle and that angle doesn't look nearly half, 44 and 22 cant be right either since AB is 44 degrees and its growing outwards so it cant be exactly 44 and it cant be less 44 (22)
so your answer will be A. 88
110 is a composite number, so, begin by makin a factor tree. Place 110 at the top, draw two arrows in a downward direction with 2 and 55 at the end of each. Since 2 is a prime number, move on to 55, which is also composite. Make two more downward arrows and place 5 and 11 at the ends. So, your prime factorization is 110=2*5*11.
Answer:
The original height of tree is 18 m.
Step-by-step explanation:
Consider the correct question is "A tree is broken at the height of 5m from the ground and its top touches the ground at a distance of 12m from the Base of the tree. Find the original height of the tree."
A tree is broken at the height of 5m from the ground.
Let the height of the tree is (x+5) m.
After broken, it will form a right angle triangle with hypotenuse x, base 12m and perpendicular 5 m.
Using Pythagoras theorem,




Taking square root on both sides.

Height of tree = 
Hence, the height of tree is 18 m.