Answer:
42 yards 2 feet 11 inches
Step-by-step explanation:
Freya, uses 2 yards, 1 foot, 7 inches of twine to wrap each damaged carton.
She has to repair 17 cartons.
The amount of twine needed to wrap 17 cartons
= (2 yards 1 foot 7 inches) x 17
= 34 yards 17 feet 119 inches
Now let's convert the answer to larger units
1 yard = 36 inches
1 yard = 3 feet
Convert 119 inches to yards
119 inches = 3 yards 11 inches
17 feet = 5 yards 2 feet
Therefore, 34 yards 17 feet 119 inches = (34 + 3 + 5 ) yards 2 feet 11 inches
Answer = 42 yards 2 feet 11 inches
Thank you.
Answer:
The value of angle is 56.9°
Step-by-step explanation:
First, you have to find the length of hypotenuse using Pythagoras' Theorem, c² = a² + b² :
In order to find θ, you have to apply Sine Rule :
The easiest terms to check are the first (8x)(2x²) = 16x³ and the last (-5)(-6) = 30. This check eliminates the first choice. The remaining choices differ only in the sign and coefficient of the squared term, so that is the one we need to find.
The squared term will be the sum of the products of factors whose degrees total 2:
(8x)(-5x) + (-5)(2x²) = -40x² -10x² = -50x²
The appropriate choice is
16x³ -50x² -23x +30
Answer:
The probability that a ship that is declared defecive is sound is 0.375
Step-by-step explanation:
Let P(A|B) denote the conditional probability of A given B. We will make use of the equation
P(A|B) = P(A) × P(B|A) / P(B)
We have the probabilities:
- P(Declared Defective (detected) | Defective) = 0.95
- P(not Detected | Defective) = 1-0.95=0.05
- P(Declared Sound | Sound) = 0.97
- P(Declared Defective |Sound) = 1-0.97=0.03
We can calculate:
P(Declared Defective)= P(Detected | Defective)×P(Defective) + P(Declared Defective |Sound) ×P(Sound) = 0.95×0.05 + 0.03×0.95=0.076
P(S | Declared Defective) =
(P(Sound) × P(Declared Defective | Sound)) / P(Declared Defective)
=0.95×0.03 /0.076 =0.375
25% chance or 4/6 that is probablility
