Answer:
a. A consumer testing service is commissioned to rank the top 5 brands of dishwasher detergent. Nine brands are to be included in the study. In how many different ways can the consumer testing service arrive at the ranking?
b. A group of 12 people is traveling in three vehicles. If 4 people ride in each vehicle, in how many different ways can the people be assigned to the vehicles?
0.0000000952 in scientific notation
9.52 × 10-8
Answer:
1 2/3 : 4 3/8 = 8
21
≅ 0.3809524
Step-by-step explanation:
Conversion a mixed number to a improper fraction: 1 2/3 = 1 · 3 + 2
3
= 5
3
Conversion a mixed number to a improper fraction: 4 3/8 = 4 · 8 + 3
8
= 35
8
Divide: 5
3
: 35
8
= 5
3
· 8
35
= 5 · 8
3 · 35
= 40
105
= 8
21
To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.
Answer: After 30 years there will be 540
Step-by-step explanation:
The function that models the the population growth of the foxes in the wildlife reserve is expressed as
y = 60 times 3^x,
Where
x represents the number of 15-year periods.
The initial number of foxes in the wildlife is 60
Since the population the foxes in the wildlife preserve triples in size every 15 years, in 30 years,
x = 30/15 = 2
Therefore,
y = 60 × 3²
y = 540 foxes