Answer:
Step-by-step explanation:
Several trig identities are involved in the proof of this. This is the order in which they are used.
- cos(2x) = cos²(x) -sin²(x)
- cos²(x) +sin²(x) = 1
- cos(x) = 1/sec(x)
<h3>Proof</h3>
Starting with the left side, we can transform it into the right side.
Answer:
0.933 ; not independent
Step-by-step explanation:
Given :
A - made from natural polished wood
B - made from chrome accent
P(A) = 0.9
P(B) = 0.75
P(AnB) = 0.7
1.) probability of natural wood Giveb that it has chrome accent
P(A|B) = P(AnB) / P(B)
P(A|B) = 0.7 / 0.75
P(A|B) = 0.933
2.)
For an independent event :
P(AnB) = p(A) * p(B)
P(AnB) = 0.9 * 0.75 = 0.675
However, p(AnB) Given here is 0.7, thus the event aren't independent
<u>Given Equation</u>:-
- 5x+y=17 . . . . . . . . 1
- x+y=3 . . . . . . . . . . 2
<u>To find</u> :
<u>Solution</u> :
<u>Let's start with equation 2</u>:-
x + y = 3
y = 3 - x
Put the value of y in Equation 1
- 5x+y=17
- 5x + (3 - x) = 17
- 5x - x + 3 = 17
- 4x + 3 = 17
- 4x = 17 - 3
- 4x = 14
- x = 14/4
- x = 7/2
- x = <em>3.5</em>
<u>Now Let's find value of y</u><u>:</u>
put the value of x in equation 2:
y = 3 - x
y = 3 - 3.5
y = <em>0.5</em>
Answer:
-4
Step-by-step explanation:
1. 6v-10=2v-22-4
2. 4v-10=-26
3. 4v=-16
4. v=-4
Triangles that have all sides and angles the same length or degree.
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