Answer:
(a) 1, 2, 3, 6, 8
Step-by-step explanation:
Given


Required
The sequence of hours worked each day
<em>See attachment for options</em>
From the question, we understand that:

This means that, the middle number is 3 (when sorted)
So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively
Next, is to determine the mean of (a) and (d)
The mean of a data is calculated as:

So, we have:
(a)



(d)



Option (a) is true, because it has:


Answer:
The correct option is 3. The length of XC is 30.
Step-by-step explanation:
It is given that triangle ABC and triangle XYC are similar.
According to the properties of similar triangles, then corresponding sides of similar triangles are congruent.
In triangle ABC and triangle XYC,

Let the length of XC be x.
From the below figure it is notices that






Therefore correct option is 3. The length of XC is 30.
Answer:41
Step-by-step explanation:
because the 49 degrees and t equal a right angle which is 90 degrees you subtract 49 from 90 which makes the remaining degree aka t 41
Answer:
m = 145 °
Step-by-step explanation:
In the given figure XYZO
∠X + ∠Y + ∠Z + ∠XOZ = 360°
∠XOZ = 360 ° - 33 ° - 22 ° - 90 °
= 360 ° - 145 °
= 215 °
∠ m + ∠ XOZ = 360 °
∠m = 360 ° - 215 °
= 145 °
Answer:
B - P=11.8(1.02)^t
Step-by-step explanation:
An exponential function is defined as:
.
Recall, a is the starting value, b is the rate, and x is the input (often time).
We will substitute a=11.8 million, b=1.02, and x=t for years. Notice b=1.02 and not 0.02. Because the population is increasing, we multiply by 1+r to add the growth onto the current population.
We write:
where y is population in millions.