Answer:
B
Step-by-step explanation:
Here, we simply want to know who will reach the 6-foot mark sooner
Mathematically, we need to get the slope from the graph
Looking at the graph, we can see that the 3 ft mark was reached at exactly 2 seconds
So what this mean is that, in 4 seconds, the 6 ft mark will be reached
This makes up the fact that the speed for Pete’s travel is 1.5 ft/ secs
Now compare this with what Stephano has, which is 2.25 ft/ s
we can see that stephano is traveling at a better speed and will reach the 6 ft mark first
So the correct option is B
Answer:
5 cm
Step-by-step explanation:
Given the function:
As we know the above function is a quadratic equation (vertical parabola) open downward and the vertex is the maximum number of mosquitoes.
The vertex form of a quadratic function is:
where (h,k) is the vertex
Our given function have the vertex form as well, so the
(h,k) = (5,25)
At the height of 5 cm the rainfall will produce the maximum number of mosquitoes
The sum of all the angles of any quadrilateral is 360 degrees
115 + 97 + 58 + missing angle = 360
missing angle = 90 degrees
Hope that helps!
Answer:
0.8914
Step-by-step explanation:
You want to find the z-values associated with the x-values:
z = (x -μ)/σ
z1 = (57 -90)/12 = -2.75
z2 = (105 -90)/12 = 1.25
Look up these values in a probability table and find the difference of the table values.
p(z < z1) ≈ 0.00298 . . . . from a table or calculator
p(z < z2) ≈ 0.89435 . . . . from a table or calculator
p(57 < x < 105) ≈ 0.89435 -0.00298 = 0.89137 ≈ 0.8914
