P ( A ) = 0.45 - probability that the land has oil,
P ( B ) = 0.8 - probability that the test predicts it
P ( A ∩ B ) = P ( A ) · P ( B ) = 0.45 · 0.8 = 0.36
Answer: The probability that the land has oil and the test predicts it is 36 %.
Answer:
b = 5
Step-by-step explanation:
89b = 411 + 34 (445)
89b = 445
b = 5
Answer: Each shirt costs $1.25, and each hat costs $2.5.
Step-by-step explanation:
Let x= Cost per T-shirt, y = Cost per Hat.
As per given,
3x+3y=11.25 (i)
4x+2y=10 (ii)
Multiply 4 to equation (i)
12x+12y=45 (iii)
12x+6y= 30 (iv)
Eliminate (iv) from (iii), we get
6y= 15
⇒ y = 2.5
Put value of y in (i)
3x+3(2.5)=11.25
⇒3x+7.5=11.25
⇒3x= 3.75
⇒x= 1.25
Hence, each shirt costs $1.25, and each hat costs $2.5.
Answer:
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Answer:
x = 20°
Step-by-step explanation:
An equilateral triangle has three equal angles of 60° each.
Since ∆BCD is an equilateral triangle, it follows that:
<CBD = <BCD = <CDB = 60°
m<ACD = 40° + <BCD
m<ACD = 40° + 60° (substitution)
m<ACD = 100°
x + m<ACD + CDB = 180° (sum of triangle)
x + 100° + 60° = 180° (substitution)
x + 160 = 180
Subtract 160 from each side
x = 180 - 160
x = 20°
