Answer:
3. C or 18.
4. Perimeter: 10 Area: 6.25
5. 3 and 16
Step-by-step explanation:
3. Because the area of a triangle is 1/2 the base times the height if you double the area you can divide this total area by one side to find the length of the other side. In this problem that is 72*2 which is 144. Then dividing 144/8 you get 18, which is answer choice C.
4. Since a square has 4 sides that are all the same, you only need to know one side length to know them all. Multiplying one side length (2.5) by itself will get you the are of the square as a whole. Doing this (2.5 multiplied by 2.5 gets the area of 6.25.
For the perimeter calculation use the formula for a perimeter of a square which is one side (2.5) multiplied by 4 is 10, which is the perimeter.
5. This is because 3*16 is 48 or the area of the rectangle.
Answer:
99.86%
Step-by-step explanation:
What we have here is a binomial distribution, let x be the baby number among 8 births.
Binomial (n = 8, p = 0.559)
We want to find, P (X ≥ 1)
P (X ≥ 1) = 1 - P (X <1)
P (X ≥ 1) = 1 - P (X = 0)
P (X = 0) = 8C0 * (0.559) ^ 0 * (1 - 0.559) ^ (8-0)]
8C0 = 8! / (0! * (8-0)!) = 1
replacing we have:
P (X = 0) = 1 * 1 * 0.0014
P (X = 0) = 0.0014
P (X ≥ 1)) = 1 - 0.001
4
P (X ≥ 1) = 0.9986
Therefore the probability is 99.86%
1. Create a graph of the pH function. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph.
<span>The pH value is 1 at the orange dot, and is 1 at the red dot. </span>
<span>The transformation p(t+1) results in a y-intercept. </span>
<span>In this graph, the blue line is the original and first parent function p(t) = –log10 t. The pink line represent p(t) + 1, the transformation shifts up the y-axis by 1, but the p(t) + 1 transformation does not result in a y-intercept like the ones prior. The gold line represents p(t +1), which shifts horizontally by 1 to the left. This does result in a y-intercept, because the graph doesn't completely flip over the line to the other side, and the green line represents -1*p(t), which causes the graph to flip upside down, and doesn't end up as a y- intercept.</span>
The answer for number 4 is scooter