Answer:
<u>3.7</u>
Step-by-step explanation:
<u>Given</u>
- sin²θ + cos²θ = 1
- sinθ = 0.27
<u>Solving for cos</u>θ
- cos²θ = 1 - sin²θ
- cos²θ = 1 - (0.27)²
- cos²θ = 0.0729
<u>Finding tan</u>θ
- tanθ = sinθ / cosθ
- tanθ = 0.27 / 0.0729
- tanθ = <u>3.7</u>
<u>Verifying it lies in the range</u>
- θ = tan⁻¹ (3.7)
- θ = 74.88°
- Range is : 0 < θ < π/2 [or 0 < θ < 90°]
- It lies in the range [Verified]
Answer:
(1) Not conditional, 5/8
(2) Not conditional, 1/12
(3) Conditional, 1/18
Step-by-step explanation:
Fraction of cars sold
Altima = 1/2
Maxima = 1/3
Sentra = 1 - (1/2 + 1/3) = 1 - 5/6 = (6 - 5)/6 = 1/6
Fraction of cars sold with moon roof
Altima = 3/4 × 1/2 = 3/8
Maxima = 1/2 × 1/3 = 1/6
Sentra = 1/2 × 1/6 = 1/12
(1) Probability (a randomly selected car has a moon roof) = 3/8 + 1/6 + 1/12 = (9+4+2)/24 = 15/24 = 5/8
(2) Probability (a randomly selected car has a moon roof given it is Sentra) = 1/12
(3) Probability (a randomly selected car is a Maxima if it has a moon roof) = 1/3 × 1/6 = 1/18
A conditional probability uses if (as a condition) in making statements or asking questions
An unconditional probability makes statement or ask question without the use of condition (if)
Answer:
probability at least one zero is 0.3439
Step-by-step explanation:
given data
last four digits = randomly selected
to find out
probability that for one such phone number the last four digits include at least one 0.
solution
we know there are total 10 digit
so we first find probability of non zero digit i.e.
Probability ( non zero ) = 9 /10 = 0.9
and now we find probability of none of digit zero only event happen n= 4 time in a row by multiplication rules i.e
Probability ( none zero in 4 digit ) = 
Probability ( none zero in 4 digit ) = 
Probability ( none zero in 4 digit ) = 0.6561
so we can say probability at least one zero = 1 - Probability ( none zero in 4 digit )
probability at least one zero = 1 - 0.6561
probability at least one zero is 0.3439
Answer:
to solve this we do the oppisite of multiplication which is division
so 84 divided by 12 = 7 so that means that our mysterious k = 7
so reprhase the sentence so '' The product of 12 and 7 is 84
hope this helps:)
Step-by-step explanation
