Answer:
19.4in
Step-by-step explanation:
1) formula for area of a triangle:
(b*h)/2=a
the area and height are already given so lets substitute them in the formula.
(b*23.8)/2=230.86
1) multiply by 2 on both sides
b*23.8=461.72
divide by 23.8 on both sides
b=19.4
the base is 19.4 in
hope this helps
Answer: p = 0.73
Step-by-step explanation:
Given that,
73% of the audience was under 20 years old :
so, probability (p) = 0.73
n = 146
Mean of the distribution of sample proportion = ?
According to central limit theorem,
np(1-p) ≥ 10
146 × 0.73(0.27) ≥ 10
28.77 ≥ 10
∴ Central limit theorem assumes that the sample distribution of the sample proportion is normally distributed.
Hence, the mean of the distribution of sample proportion:
μ = p = 0.73
Answer:
28
Step-by-step explanation:
Question Image is attached.
Triangle BED and Triangle CFD are similar.
We can let the length of BD be 5x and DC 7x
We also know BC = 48, thus we can write:
5x + 7x = 48
12x = 48
x = 4
Now, Since DC = 7x, we plug in x = 4 into it.
DC = 7x
DC = 7(4)
DC = 28
Length of DC is 28
Answer:
its already in its simplest form.
6.
4x^2 + 4 = 0
Divide both sides by 4
x^2 + 1 = 0
Use the quadratic formula since this cannot be factored.
x = (-b +- sqrt(b^2 - 4ac))/(2a)
x = +- sqrt(-4(1)(1))/2
x = +- sqrt(-4)/2
x = +- 2i/2
x = +- i
x = i or x = -i
Quicker solution:
If you have x^2 = number, then
x = +- sqrt(number)
Once you get to
x^2 + 1 = 0
Subtract 1 from both sides
x^2 = -1
Apply the quick method
x = +- sqrt(-1)
x = +- i
8.
2x^2 + 50 = 0
Divide both sides by 2
x^2 + 25 = 0
Subtract 25 from both sides
x^2 = -25
Apply quick method
x = +- sqrt(25)
x = +- 5i
x = 5i or x = -5i
