Answer:
According to the Central Limit theorem, the distribution is roughly normal
Step-by-step explanation:
The Central Limit Theorem states that for sample sizes above 30 and not withstanding population distribution's shape, the sampling distribution of the sample mean becomes more similar t hat of a normal distribution as the sample size increases;
The size of the sample = 1,000 >> 30
As the sample size approaches infinity, we have;

= 1.5
S.D. = 1.8
n = 1000
Assume μ = 1, we get;

P(z > 1.7568) = 1 - 0.96080 = 0.0392
Therefore, it is very likely that the mean of the population is not larger than the sample mean
Therefore, yes, the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal
Answer:
x = 60
Step-by-step explanation:
The Factor of sides is 1.5 and I found that out by dividing one side to the identical side on the other triangle then you multiply the bottom side by 1.5 to get the answer
please give brainliest
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
11, 13, 15, 17, 19, ...
Determining the Recursive formula:
We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.
From the given sequence it is clear that every term can be obtained by adding two to the previous term.
i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2
so
aₙ₊₁ = aₙ+2, for n ≥1
Therefore, a recursive formula is:
Determining the Explicit formula:
Given the sequence
11, 13, 15, 17, 19, ...
An arithmetic sequence has a constant difference 'd' and is defined by

computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same and equal to

also

so substituting
,
in the nth terms



Therefore, the Explicit formula is:

Answer:55 degrees
Step-by-step explanation:
So the two problems both ave TS which meant R is 20 and W is 25
and T is 10 and S is 10.
so
R 20 +
S 10 +
W 25 =
RSW 55