Answer: An error was made! All correlation coefficients: -1 ≤ r ≤ 1.
The answer is 141.35 ft²
Before the first break, it was painted:
150 ft² ÷ 2 = 75 ft²
Now it's left:
150 ft² - 75 ft² = 75 <span>ft²
Before the second break, it was painted:
75 </span>ft² ÷ 2 = 37.5 <span>ft²
Now it's left:
75 </span>ft² - 37.5 ft² = 37.5 <span>ft²
Before the third break, it was painted:
37.5 </span>ft² ÷ 2 = 18.75 <span>ft²
</span><span>Now it's left:
</span>37.5 ft² - 18.75 ft² = 18.75 <span>ft²
</span>
<span>Before the fourth break, it was painted:
</span>18.75 ft² ÷ 2 = 9.375 <span>ft²
</span><span>Now it's left:
</span>18.75 ft² - 9.375 ft² = 9.375 <span>ft²
</span>
<span>Before the fourth break, it was painted:
</span>9.375 ft² ÷ 2 = 4.6875 <span>ft²
</span><span>Now it's left:
</span>9.375 ft² - 4.6875 ft² = 4.6875 ft²
Now, we will sum what he painted for now:
75 ft² + 37.5 ft² + 18.75 ft² + 9.375 ft² 4.6875 ft² = 141.3125 ft² ≈ 141.35 ft²
When the painter takes his fifth break, there will be <span>141.35 ft² of the wall painted.</span>
<span>sin(x-y) = (24-14*sqrt(2))/75
Write down what you know
sin(x) = 1/3
sec(y) = 25/24
cos(y) = 1/sec(y) = 24/25
cos(x) = sqrt(1-sin(x)^2) = sqrt(1-1/9) = sqrt(8/9) = 2*sqrt(2)/3
sin(y) = sqrt(1-cos(y)^2) = sqrt(1-576/625) = sqrt(49/625) = 7/25
We now know the sin and cos of both x and y.
Now to get the sin of x-y.
sin(x-y) = sin(x)cos(y) - cos(x)sin(y)
Substitute the known values for sin and cos of x and y, then evaluate and simplify
sin(x-y) = (1/3)(24/25) - (2*sqrt(2)/3)(7/25)
sin(x-y) = 24/75 - 14*sqrt(2)/75
sin(x-y) = (24-14*sqrt(2))/75</span>
Answer:
Hence, the total number of people who chose rap as their favorite kind of music is:
60 people
Step-by-step explanation:
The percentage of people who like different kind of music are given by:
Music Percent
Rock 'n' Roll 28%
Rap 24%
Hip Hop 20%
Jazz 18%
Other 10%
Total number of people who responded to survey=250
Hence, the number of people who chose rap as their favorite music is:
24% of 250
i.e. 24%×250
= 0.24×250
=60
Hence, people who chose rap are:
60 people.
