Answer:

Step-by-step explanation:
1st boat:
Parabola equation:

The x-coordinate of the vertex:

Equation:

The y-coordinate of the vertex:

Parabola passes through the point (-8,1), so

Solve:

Parabola equation:

2nd boat:
Parabola equation:

The x-coordinate of the vertex:

Equation:

The y-coordinate of the vertex:

Parabola passes through the point (-8,1), so

Solve:

Parabola equation:

System of two equations:

Answer:
4y^6
Step-by-step explanation:
Take out the constants:
40y^14/10y^8
= 40/10 * y^14 / y^8
= 4 * y^(14-8)
= 4 * y^6
= 4y^6
Hope this helped you :3
Answer:
The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.7291
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have
. So



The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.
Answer:
9 - 3=6
Step-by-step explanation:
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm