Step-by-step explanation:
Rate of growth equals 420/100 = 4.2 times per hour
So after t=three hours,
size of culture = 100*(4.2)^t = 100*4.2^3=7408.8 bacteria,
round to nearest unit 7409 bacteria after three hours (after initial size of 100).
Using the Emperical rule:
68% lie with one one standard deviation:
16 + 1.7 , 16-1.7 = 17.7, 14.3
14.3 is part of the 68%.
The remaining 32% of the distribution is outside the range, with half being less than and half being greater than.
32/2 = 16
The probability of living loner than 14.3 Would be 16%
Answer:
6 meters.
Step-by-step explanation:
The scale of a map is 1:10000
The real distance between two banks is 600 meters.
We are to find the distance between the two banks on the map.
This scale means that for every 1 meter on the map there are 10,000 meters on the real world.
So 600 meters on the real world would be represented by;
Cross-multiplying gives:
meters.
Answer:B: 36°
Step-by-step explanation:
We know that ∆ABC is isoceles, making (angle)<ABC and <BCA congruent because base angles of isoceles triangles are congruent.
Because we have parallel lines, we can look for alternate interior angle pairs. <BCA is congruent to <DAC because they're alternate interior angles.
If <BCA is x then so is <ABC.
Since triangles add up to 180° we can add all of the angles (3x+x+x) and set it equal to 180.
3x+x+x=180
5x=180
x=36
If we were looking for <BAC we would plug that back in and solve, but we're looking for <BCA which is equal to x, therefore m<BCA=36°
Answer:
216 + 9i
Step-by-step explanation:
Given: f(x) = 3x² + 3
+ 3x
When x = -9, f(x) equals to;
3(-9)² + 3(-9
+ 3(-9)
243 + 3(3i) - 27
243 + 9i - 27
216 + 9i
