The original number is 72
(18+x)/6 = 1+14
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15
- 3 = -3 (Subtract 3 From Both Sides)
1/6x = 12
(1/6x)*6 = 12 * 6 (Multiply Both Sides By 6)
x = 72
Answer:
The more fish Carl tests, the more likely he is to find a 30% parasite incidence rate.
Step-by-step explanation:
Given that fish inhabiting the river in the town of Glenmeadow have a 30% rate of parasite incidence
Carl is a fisherman who wants to verify the parasite infection rate of Glenmeadow's fish.
Sample size of 1000 i.e. 1000 fish is caught.
The interpretation of the given statement is
The more fish Carl tests, the more likely he is to find a 30% parasite incidence rate.
is the interpretation of population proportion rate for catching fish.
Answer:
Step-by-step explanation:
we know that
The directrix of the parabola is perpendicular to the axis of symmetry of the parabola
In this problem the directrix is y=-3.5
so
The axis of symmetry is parallel to the y-axis
we have a vertical parabola
Also, the vertex is at the origin
That means-----> the parabola open upward
The equation of a vertical parabola can be written as
where
p is the distance between the vertex and the directrix
In this problem
the distance between the vertex and the directrix is 3.5
----> the value of p is positive because the parabola open upward
substitute
isolate the variable y
Distributive is used in this problem
Answer:
x = 12.2
Step-by-step explanation:
sin theta = opp / hypotenuse
sin 55 = 10 /x
Multiply each side by x
x sin 55 = 10
Divide each side by sin 55
x = 10 / sin 55
x =12.20774589
Rounding to the nearest tenth
x = 12.2