Answer:
a) 1820
b) 55
c) 10
d) 550
e) 0.3022
Step-by-step explanation:
Data provided in the question:
Number of seniors = 11
Number of juniors = 5
n = total options
r = persons to select
number of combinations = 
a) The number of 4-sprinter relay teams from a total of 16 sprinters
n = 16
r = 4
= ¹⁶C₄
= 
= 
=
b) The ways to select two seniors for the relay team
n = 11
r = 2
= ¹¹C₂
= 
= 
=
c) The ways to choose two juniors for the relay team
n = 5
r = 2
= ⁵C₂
= 
= 
= 10
d) The combination of two seniors and two juniors for the relay team
= the number of ways to select two seniors × the number of ways to select two juniors
= 55 × 10
= 550
e) The probability that two seniors and two juniors are selected for the relay team
= [ the number of ways to select two seniors and juniors ] ÷ [the total number of possible 4-sprinter relay teams ]
= 550 ÷ 1820
= 0.30219 ≈ 0.3022
The number 59 can be represented in different ways.
For example, 59 can also be expressed as 59 divided by 1.
We can apply the formula to tackle this problem, utilizing the following variables: R represents the rate, W signifies the workers/things, T stands for time, and J indicates the jobs/things. In the scenario where 10 printers print 10 pages within 10 seconds, we identify W as 10 printers, T as 10 seconds, and J as 10 pages. Thus, we can deduce how many seconds it will take for 50 printers to produce 50 pages. Based on the previous findings, we can determine T. Ultimately, it will still take 10 seconds for 50 printers to print 50 pages.
Answer:
The kind of food given to the dog.
Step-by-step explanation:
The independent variable is the factor being tested in the experiment. Hence, we observe that Pablo and Johanna provide different dog foods to monitor which diet promotes faster growth. The rate of growth is the dependent variable, as it is the variable being measured.
Solution:
Refer to the detailed explanation
Step-by-step process:
1 step: 
- provided
2 step: 
- Segments Addition Postulate
3 step: 
- Substitution Property
4 step: 
- Segments Addition Postulate
5 step: 
- Substitution Property
6 step: 
- provided
7 step: 
- Property of Substitution Equality
8 step: 
- Equality Subtraction Property
