Answer:
132 mm^2
Step-by-step explanation:
The line added to the figure in the attachment shows it can be divided into two figures whose area is easily calculated.
1. A parallelogram of base length 20 mm and height 4 mm:
A = bh = (20 mm)(4 mm) = 80 mm^2
2. A trapezoid with bases 32 mm and 20 mm, and height 2 mm:
A = (1/2)(b1 +b2)h = (1/2)(32 mm +20 mm)(2 mm) = 52 mm^2
The total area of the figure is then ...
80 mm^2 +52 mm^2 = 132 mm^2
Answer:
The slope is 1/2
Step-by-step explanation:
To get the slope, we select any two points on the line and apply the slope formula
The points are;
(5,4) and (9,6)
The formula for the slope is;
m = (y2-y1)/(x2-x1)
m = (6-4)/(9-5) = 2/4 = 1/2
Answer:
82.5cm²
Step-by-step explanation:
The volume of a triangular prism is : V = 1/2 * a * c * h
V = 1/2 * 3 * 5 * 11
= 165/2
= 82.5cm²
Answer:
There is enough evidence at the 0.05 significance level that the percentage is less than 25%.
Step-by-step explanation:
<em>The question has no options. However, there are enough details to arrive at a conclusion.</em>
<em></em>
Required
What can we conclude about the claim of the publisher.
From the question, we understand that the null hypothesis is rejected.
In statistics, a hypothesis is rejected, if the level of significance is less than the required or determined value.
In this case, the determined value 25% and the level of significance is 0.05
<em>So, the conclusion on the claim is that there is enough evidence at the 0.05 significance level that the percentage is less than 25%.</em>
