Answer:
A. 0.0625
B. 0.1089
C. 0.81
D. 0.0196
Step-by-step explanation:
The proportion of variance is shared by the two correlated variables is given as the r².
Therefore,
For A. r = 0.25
Proportion of variance is shared by the two correlated variables = 0.25²
= 0.0625
For B. r = 0.33
Proportion of variance is shared by the two correlated variables = 0.33²
= 0.1089
For C. r = 0.90
Proportion of variance is shared by the two correlated variables = 0.90²
= 0.81
For D. r = 0.14
Proportion of variance is shared by the two correlated variables = 0.14²
= 0.0196
The first step in solving this question is to split the journey into 2 parts. In the first part of the journey,
miles are covered at a speed of 40 mph. In the second part the journey 5 miles are covered at a speed of 60 mph.
The equation to compute the time of a journey given the speed and distance is
where
is the time,
is the speed and
is the distance.
The time for the first part of the journey is calculated as shown below,
.
The time for the second part of the journey is calculated as follows,
.
The total time is the sum of the times taken to cover each part of the journey and is calculated as shown below,

The time to cover the journey is a third of an hour or 20 minutes.
Given:
The expression is

To find:
The expression which is equivalent to the given expression.
Solution:
We have,

It can be written as

Taking LCM, we get



The mixed fraction of this improper fraction is


So, the expression
is equivalent to the given expression.
Therefore, the correct option is A.
Answer:
z = -6
Step-by-step explanation:

Hope this helps.
16.72p + 9 ≤ 133
16.2p ≤ 124
p ≤ 124 / 16.2
the teacher can order at most
7 whole pizzas