Answer: The point estimate for this population proportion is 0.2
Step-by-step explanation:
The point estimate for this population proportion is also referred to as the sample proportion. This is also known as the probability of success, p. The formula for determining p is expressed as
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 200
x = 40
p = 40/200 = 0.2
The fraction is 156/468 and the percentage is 33 percent
Answer:
540°
Step-by-step explanation:
If a triangle (3 sides) has 180 degrees then we can figure out the degrees in a pentagon.
180° + 360° = 540°
How? The "top" part could be seen as a triangle (180 degrees), and we know that a quadrilateral's angles add up to 360 degrees, so when we add them together we get out answer!
Answer: x = {-3, -1, 1, 7}
<u>Step-by-step explanation:</u>
f(x) = x⁴ - 4x³ - 22x² + 4x + 21
possible roots are: +/- 1, 3, 7, 21
Let's try x = 1
1 | 1 -4 -22 4 21
<u>| ↓ 1 -3 -25 -21 </u>
1 -3 -25 -21 0 <em>remainder is 0 so (x - 1) is a factor</em>
(x - 1)(x³ - 3x² - 25x - 21)
Next, let's try x = -1
-1 | 1 -3 -25 -21
<u>| ↓ -1 4 21 </u>
1 -4 -21 0 <em>remainder is 0 so (x + 1) is a factor</em>
(x - 1)(x + 1)(x² - 4x - 21)
Then, factor the third polynomial
(x - 1)(x + 1)(x + 3)(x - 7)
Now, set each factor equal to zero and solve each one.
(x - 1) = 0 ⇒ x = 1
(x + 1) = 0 ⇒ x = -1
(x + 3) = 0 ⇒ x = -3
(x - 7) = 0 ⇒ x = 7
<h2>2.26x10^8 m/s is your answer</h2>
Hope it helps
