Answer:
Area = 20 ft²
Step-by-step explanation:
Area of a thrombus
½ × d1 × d2
½ × 5 × 8
20
Hello,
We see that there is the ratio
2:3:4, which let us to conclude the ratio between the shortest and longest side is 2:4 or 1:2, so the longest side is two times bigger than the smallest.
To find the longest side:
12×2=24 cm. As a result, the length of the longest side is 24 cm. Hope it help!
Answer:
Option (A) and (E)
Step-by-step explanation:
Characteristics of the quadratic function representing the path of a whale as it surfaces for air is,
y = -4x²
1). Since domain of the given function will be all real number x until ocean hits the shore on both the sides of the path.
2). Range of the function will be the value of y from the bottom of the ocean to the surface.
3). Whale will touch the surface of the ocean at one point only.
4). Function 'f' will increase initially upto the surface of the ocean and then it will decrease.
5). Point where the hale touches the surface will be maximum.
Therefore, Options (A) and (E) will be the correct options.
First of all, we have to draw the line. To draw a line, we only need two points. To sample to points, we choose two arbitrary x values, and compute the correspondent y values.
We may choose x=0 and x=3 to make computation/drawing easier. We have


So, this line passes through the points (0, -6) and (3, -5). Draw these two points and connect them: you have the line

Now, to solve the inequality

recall that smaller values for y means "below" in the coordinate axes. So, every point that lies below the line is a solution to the inequality.
Answer:
Option C. The real effect is 0.1
Step-by-step explanation:
The complete question is
You are interested in the psychological implications of high SES. You read a paper that claims that higher social class people behave more unethically. The paper reports a significant difference in the propensity of high and low SES people behaving unethically. The significance level of this study was 0.05, the ratio of true to false effects in this field is 0.35, but the author was anxious to issue a press release and prepare his TED talk, so power is low, at 0.1. The probability that this study reports a real effect is
A. 0.58
B. 0.95
C. 0.1
D. 0.35
E. 0.41
Solution
Ratio of true to false effects i.e T/F = 0.35
The power of the study indicates the real effect of the study and hence despite the true/false ration being 0.35 and the significance level of study is 0.05, the real effect of the study would be 0.1
Hence option C is correct