Answer:
9
Step-by-step explanation:
Math definition Mode means anything that repeats more than anything else.
Eg.(4, 5, 6, 2, 2, 4, 4, 4, 4, 5, 3, 5)
The mode in the bracket is 4. Some of the numbers occured more than once but 4 occured the most that's why it's 4
Answer:
The area of the circle is 28.26.
Step-by-step explanation:
πr =9.42
Using that, we can find the radius, which will help us find the area of the circle.
9.42/π = 3 (I used 3.14 for π)
The formula for area of a circle is:
πr^2
Plug our values in.
π(3^2)
9π
28.26
The area of the circle is 28.26.
To sum, Min would need to first figure out the radius of the circle, and then use the radius to find the area of the circle. She can figure out the radius by dividing 9.42 by π, and find the area with the formula πr^2.
Answer: 15 girls
Step-by-step explanation:
27 - 3 = 24
24/2 = 12
12 boys
12 + 3 = 15
15 girls
15+ 12 = 27
Answer:
a) the probability that the minimum of the three is between 75 and 90 is 0.00072
b) the probability that the second smallest of the three is between 75 and 90 is 0.396
Step-by-step explanation:
Given that;
fx(x) = { 1/5 ; 50 < x < 100
0, otherwise}
Fx(x) = { x-50 / 50 ; 50 < x < 100
1 ; x > 100
a)
n = 3
F(1) (x) = nf(x) ( 1-F(x)^n-1
= 3 × 1/50 ( 1 - ((x-50)/50)²
= 3/50 (( 100 - x)/50)²
=3/50³ ( 100 - x)²
Therefore P ( 75 < (x) < 90) = ⁹⁰∫₇₅ 3/50³ ( 100 - x)² dx
= 3/50³ [ -2 (100 - x ]₇₅⁹⁰
= (3 ( -20 + 50)) / 50₃
= 9 / 12500 = 0.00072
b)
f(k) (x) = nf(x) ( ⁿ⁻¹_k₋ ₁) ( F(x) )^k-1 ; ( 1 - F(x) )^n-k
Now for n = 3, k = 2
f(2) (x) = 3f(x) × 2 × (x-50 / 50) ( 1 - (x-50 / 50))
= 6 × 1/50 × ( x-50 / 50) ( 100-x / 50)
= 6/50³ ( 150x - x² - 5000 )
therefore
P( 75 < x2 < 90 ) = 6/50³ ⁹⁰∫₇₅ ( 150x - x² - 5000 ) dx
= 99 / 250 = 0.396
