I suppose the fifth picture is right.
Answer:
See Explanation
Step-by-step explanation:
<em>The question is incomplete as the function is not given. However, the following explanation will guide you.</em>
<em></em>
The average rate of change is calculated using;

Where

Take for instance;
The function is:

We have to solve for f(-1) and f(5);
i.e.


Substitute -1 for a and 5 for b




Substitute values for f(5) and f(-1)




<em>Apply this steps in your work</em>
Answer:
z = 2.1784 > 1.96,
Reject the null hypothesis
Step-by-step explanation:
For the males:
n1 = 162, x1 = 63
P1 = x 1/ n1 = 0.3889
For the Females:
n2 = 333,
x2 = 97
P 2 = x2/n2
= 0.2913
P 1= P2 Null hypothesis
P 1 is not equal to P 2 alternative hypothesis
Pooled proportion:
P= (x1 + x2) /( n1+ n2)
= (63 + 97) / (162 + 333)= 0.3232
Test statistics :
Z= (p1 - p2) /√p(1-p)× (1/n1 + 1/n2)
0.3889- 0.2913 / √0.3232 × 0.6768 × (1/162 +1/333)
=2.1784
c) Critical value :
Two tailed critical value, z critical = Norm.S .INV (0.05/2) = 1.960
Reject H o if z < -1.96 or if z > 1.96
d) Decision:
z = 2.1784 > 1.96,
Reject the null hypothesis
n(A) = 26
Solution:
Let us first define the cardinal number of the set.
Cardinal number of the set:
The number of distinct elements in a finite set is called its cardinal number. It is denoted as n(A).
Given set: A = {a, b, c, .... z}
We know that, there are 26 elements in the alphabet "a to z".
Number of elements in the set A = 26
Hence n(A) = 26.
Answer:
- C. neither. the roof and walls are the same shade of green
Step-by-step explanation:
<u>The first batch:</u>
- Some white and some green
<u>The second batch:</u>
- Triple amount of white and triple amount of green
As we see the ratio of white to green has not changed
Therefore there won't be any difference in painting
Correct answer choice is C.