Answer:
< ABC = 80
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
< ABC = 1/2 ( 160)
< ABC = 80
Answer:
1/4 x 3 or 1/4+1/4+1/4
Step-by-step explanation:
1/4 + 1/4 + 1/4
2/4+1/4
3/4
-(-7y+12)
=-(-7y)-(12)
=7y-12
Answer:
(a) 0.40
(b) 0.049
(c) 
(d) Explained below
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:

The standard deviation of this sampling distribution of sample proportion is:

Given:
n = 100
p = 0.40
As <em>n</em> = 100 > 30 the Central limit theorem is applicable.
(a)
Compute the expected value of
as follows:

The expected value of
is 0.40.
(b)
Compute the standard error of
as follows:

The standard error of
is 0.049.
(c)
The sampling distribution of
is:

(d)
The sampling distribution of p show that as the sample size is increasing the distribution is approximated by the normal distribution.
Step-by-step explanation:
First no. is 12
Second no. is 8
Third no. of 25
Way 1 of grouping the numbers,
(12×8)×25
We can use associative law of multiplication as follows :
(a×b)×c = a×(b×c)
(12×8)×25 = (96) × 25
= 2400
Way 2,
12×(8×25) = 12 × 200
= 2400
Way 2 is easier to simplify because when we multiply 8 and 25, we get 200. It is very easy to multiply any number with a number that have zeroes. As a result we easily get the answer i.e. 2400.