Answer:
Step-by-step explanation:
The area of a triangle is
A=bh/2 where b=base dimension and h=height
1) 10(12)/2=60mm^2
2) 14(34)/2=238in^2
3) 9.5(19.25)/2=91.4375yd^2
4) 4.9(23.7)/2=232.26m^2
5) 285=15b/2, 15b=578, b=38ft
6) 17h/2=18.7, 17h=37.4, h=2.2cm
7) 12.25b/2=128.625, 12.25b=257.25, b=21in
Answer:
The point-slope equation of the line is y - 2 = 3(x + 9)
Step-by-step explanation:
The form of the point-slope equation is y - y1 = m(x - x1), where
- m is the slope of the line
- (x1, y1) is a point on the line
∵ The slope of a line is 3
∴ m = 3
∵ The line passes through point (-9, 2)
∵ x1 = -9
∴ y1 = 2
→ Substitute the values of m, x1, and y1 in the point-slope form
∵ y - y1 = m(x - x1)
∴ y - 2 = 3(x - (-9))
→ Remember (-)(-) = (+)
∴ y - 2 = 3(x + 9)
∴ The point-slope equation of the line is y - 2 = 3(x + 9)
Answer:

Step-by-step explanation:

Answer:
Option D) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually 5 in a thousand.
Step-by-step explanation:
We are given the following information:
A hypothesis test to support the given claim that the proportion of Americans that have seen a UFO is less than 5 in a thousand.
Type I error:
- Type I error is the rejection of a true null hypothesis that is we reject the null hypothesis given it is true.
- It is also known as a false positive.
First, we design the null and the alternate hypothesis

Thus, for the given hypothesis test, we describe type I error as:
Option D) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually 5 in a thousand.