Answer:
2 2/9
Step-by-step explanation:
Answer:
80 m²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A =
h (a + b)
where h is the perpendicular height between bases and a, b are the bases
Here h = 8, a = 14 and b = 6, thus
A =
× 8 × (14 + 6) = 4 × 20 = 80 m²
Answer:
x < 
Step-by-step explanation:
Given
- ax + 4b > 9 ( isolate the term in x by subtracting 4b from both sides )
- ax > 9 - 4b ( divide both sides by - a )
Remembering to reverse the inequality symbol when dividing by a negative quantity, thus
x < 
Answer:
68
Step-by-step explanation:
We let the random variable X denote the height of students of the college. Therefore, X is normally distributed with a mean of 175 cm and a standard deviation of 5 centimeters.
We are required to determine the percent of students who are between 170 centimeters and 180 centimeters in height.
This can be expressed as;
P(170<X<180)
This can be evaluated in Stat-Crunch using the following steps;
In stat crunch, click Stat then Calculators and select Normal
In the pop-up window that appears click Between
Input the value of the mean as 175 and that of the standard deviation as 5
Then input the values 170 and 180
click compute
Stat-Crunch returns a probability of approximately 68%
Answer:
x=-2
Step-by-step explanation:
Given points are (-2,2) and (-2,-3).
Now we need to find equation of the line passing through the given points.
So let's begin by finding slope

which is undefined. That means graph of the line must be vertical as you can see that in given points, x-value is not changing.
Equation of vertical line is given by x=k where k is the fixed value of x-coordinate.
x-coordinate is -2 in given points.
Hence final equation is x=-2.