Answer and Step-by-step explanation:
The area formula for a Circle is:
A = 
Diameter is equal to the radius times 2.
<u>So, divide the diameter to get the radius.</u>
6 divided by 2 equals 3.
<u>Now, plug it into the formula.</u>
A = 
Plug this into your calculator by multiplying 9 by pi.
<u>We get the answer to be 28.3 when rounded to the nearest tenth.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer: 5:4
Step-by-step explanation:
Given : The number of convertibles = 1960
The number of minivans = 490
Total cars = 2450
The ratio of A to B can also be written as 
.
The ratio of cars to convertibles = 
![=\dfrac{2450}{1960}\\\\=\dfrac{5}{4}\ \ \ \text{[Simplest form]}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B2450%7D%7B1960%7D%5C%5C%5C%5C%3D%5Cdfrac%7B5%7D%7B4%7D%5C%20%5C%20%5C%20%5Ctext%7B%5BSimplest%20form%5D%7D)
Hence, the ratio of cars to convertibles = 5:4
Answer:
0.324
Step-by-step explanation:
Given that :
Success rate = 30%
p = 30% = 0.3
q = 1 - p = 1 - 0.3 = 0.7
Number of trials, n = 6
Probability of having exactly 2 successes ; x = 2
P(x = 2)
Usibgbtge binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 2) = 6C2 * 0.3^2 * 0.7^4
P(x = 2) = 15 * 0.3^2 * 0.7^4
P(x = 2). = 0.324135
P(x = 2) = 0.324
Answer: x = 5
Step-by-step explanation:
1. Set the two given expressions equal to each other (because the problem says they are interchangeable)
-5x = -40+3x
2. Subtract 3x from -5x to have x on one side of the equation.
-8x = -40
3. Divide each side by -8 to get the value of x.
x = 5
The mean absolute deviation of a number set is the average distance between each value and the mean.<span> This is obtained by finding the mean of the set, determining the absolute value difference between each number, and the mean and calculating the average of these differences.
The mean of the set is ( 26 + 43 + 48 + 29 + 16 + 30 ) / 6 = 32 ;
</span> the absolute value difference between each number:
/ 26 - 32 / = 6 ; / 43 - 32 / = 11 ; / 48 - 32 / = 16 ; / 29 - 32 / = 3 ; / 16 - 32 / = 16 ;
/ 30 - 32 / = 2 ;
the mean absolute deviation of 26 43 48 29 16 30 is ( 6 + 11 + 16 + 3 + 16 + 2 ) / 6 = 9 ;
