Answer:
x = 1
Step-by-step explanation:
12 + 4 x = 16
Subtract 12 from both sides.
4x = 4
Divide 4 on both sides.
x = 1
Answer:
1/42
Step-by-step explanation:
4/7 - 23/42 = 24/42 - 23/42 = 1/42
Answer:
86.64%
Step-by-step explanation:
Mean (μ) = 220
σ= 16
n= 4
mean score(X) = 220 -12
= 208
Using central limit theorem which says that for a sample of size (n), the standard error is
standard deviation /√n
= 16/√4
= 16/2
= 8
Standard error = 8
Using Z score
Z = (μ - x) / standard error
Z= (220 -208)/8
Z= 12/8
Z= 1.5
From the table, Z = 1.5 = 0.4332
Since the normal distribution curve is symmetrical, we have
0.4332*2
= 0.8664
Percentage = 0.8664*100
= 86.64%
Answer:
D
Step-by-step explanation:
2² + 6² = x²
4 + 36 = x²
40 = x²
x = 2√10
Answer:
4 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
BD and AC are chords that intersect at point Y. A circle is shown. Chords B D and A C intersect at point Y. The length of B Y is 3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY?
<u><em>The picture of the question in the attached figure</em></u>
we know that
The <u><em>Intersecting Chord Theorem</em></u> states that: When two chords intersect each other inside a circle,the products of their segments are equal.
do
In this problem

substitute the given values

solve for x

therefore
The length of segment AY is 4 units