Answer:
6 swimmers in the first heat can be arranged in 1716 different ways.
Step-by-step explanation:
A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.
So to select 6 swimmers out of 13 contestants number of different ways
= 
= 
= 
= 
= 
= 1716
Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.
Answer:
Pierre is right
Step-by-step explanation:
The correct formula for Exponential growth rate is given as:
y = a( 1 + r) ^t
Where
y = Amount after time t
a = Initial amount
r = Growth rate
t = time
From the question
a = 300
r = 2% = 0.02
Hence, our exponential growth rate =
y = 300( 1 + 0.02)^t
y = 300( 1.02)^t
Therefore, Pierre is right
Answer:
Some 224 people were in favor of the expansion.
Step-by-step explanation:
Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:
1/4 = 0.25
100 = 1004
22.25 = X
1004 x 22.25 / 100 = X
223.39 = X
Thus, some 224 people were in favor of the expansion.
The ratio of the areas is 340/1158 = 170/579thus the ratio of the side lengths is sqrt(170)/sqrt(579) = .5418the ratio of volumes is the side length ratio cubed = .5418^3 = .159Volume of smaller solid = (.159)(1712) = 272.37
Answer:
Where is the question?
Step-by-step explanation:
