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31% = 0.31 = 0.31 × 575 = 178.25
178 students like mathematics.
It is divisible by the numbers: 1,2,3,4,5,6,7, and 9
Answer:
1.4000 ;
0.0807 ;
1.69 ;
Fail to reject the Null
Step-by-step explanation:
Given :
μ = 21 minutes
x = 22.4 minutes
Sample size, n = 36
Standard deviation, s = 6
H0: μ ≥ 21
H1: μ < 21
Test statistic : (x - μ) ÷ s/sqrt(n)
Test statistic : (22.4 - 21) ÷ 6/sqrt(36)
Test statistic : 1.4 ÷ 1
Test statistic = 1.4000
Pvalue : Using the Test statistic value at α = 0.05 ; One - tail test = 0.0807
The t critical value using a critical value calculator ; DF = (n - 1) = 36 - 1 = 35 ; α = 0.05 = 1.69
Decision region :
Reject H0 if
|Test statistic| > |critical value|
1.4 < 1.69
Hence, we fail to reject H0
There isn't enough evidence they delivery time has been reduced below previous mean
Answer:
Option D is correct that is (-4,-11).
Step-by-step explanation:
We have been given an expression:

We need to find the points of discontinuity
We will first factorize the given expression



Hence, the point of discontinuity is where denominator gives value zero
So, 
Point of discontinuity is -4
hence, after removing the point of discontinuity the function left is:

Hence, put x=-4

Therefore, option D is correct that is (-4,-11).
Answer:
see below
Step-by-step explanation:
Each point moves to half its previous distance from P. It is probably easier to count grid squares on the graph than it is to do the math on the coordinates.
If you're doing the math on the coordinates, it is convenient to use P = (0, 0), then multiply each of the coordinates of A, B, and C by 1/2. For example:
A' = (1/2)A = (1/2)(8, 4) = (4, 2)