Please help me! this is important.
1 answer:
You might be interested in
Answer:
322 ft²
Step-by-step explanation:
Trapezoid area formula:
Given:
a = 11
b = 35
h = 14
Work:
Answer:
40. Alternate exterior angles.
41. .
42.
43.
Step-by-step explanation:
Given:
From the figure, l and m are 2 lines and p and n are the transversals on the 2 lines.
Question 40:
[tex]m\angle 10\textrm{ and }m\angle 6[/tex] lie exterior to lines l and m are also alternate to each other. Therefore, they are called as a pair of alternate exterior angles.
Question 41:
If lines l || m, then the angles are a pair of supplementary angles.
Therefore, the sum of angles 2 and 3 is equal to 180.
Therefore, .
Question 42:
If lines l || m, then the angles are a pair of alternate interior angles and equal to each other.
Therefore,
Therefore, .
Question 43:
If lines l || m, then the angles are a pair of alternate exterior angles and equal to each other.
Therefore,
Therefore, .
Answer:
Hello your question is incomplete below is the missing value
determine the probability that the number who have a high school degree as their highest educational level is exactly 32
answer : P( x = 32 ) = 0.08
Step-by-step explanation:
Given ;
n = 100 , p = 0.304
np = 100 * 0.304 = 30.4
n( 1 - p ) = 100 ( 1 - 0.304 ) = 69.6
applying normal approximation to the Binomial to determine mean value and standard deviation ( because: np and n(1-p) > 5 )
mean = np = 30.4
std = =
= 4.6
<u>Determine the probability of exactly 32 </u>
P( X = 32 ) = P( 31.5 < X < 32.5 )
= P( (31.5 - 30.4) / 4.6 < X < (32.5 - 30.4) / 4.6 )
= P ( 0.24 < Z < 0.46 )
= p( Z < 0.46 ) - p( Z< 0.24 ) ( using standard tables )
= 0.6772 - 0.5948 = 0.0824 ≈ 0.08
Answer:
(3, 0 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c (a ≠ 0 )
Then the x- coordinate of the vertex is
= -
y = 5x² - 30x + 45 ← is in standard form
with a = 5, b = - 30 , then
= -
= 3
Substitute x = 3 into the function for corresponding value of y
y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0
vertex = (3, 0 )