In triangle ABC, AB = 2x cm, AC = x cm, BC = 21 cm and angle BAC = 120°. Calculate the value of x.
2 answers:
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14:
56/8 = 7 so multiply 1/2 by 7/1 to get the unidentified fraction "x/y"
1/2 · 7/1 = 7/2 or 3 1/2
15.
to get from 100 to 5, you would divide by 20, so to solve for x, multiply 2 by 20, to get a product of 40.
40/100 = 40% or D
16.
A
Answer:
20 mph and 4 mph
Step-by-step explanation:
GIVEN: A boat travels upstream for miles in
hours and returns in
hours traveling downstream in a river.
TO FIND: What is the rate of the boat in still water and the rate of the current.
SOLUTION:
Let the speed of boat in still water be and speed of current be
.
speed of water in upstream
speed of water in downstream
As
Solving both we get
Hence speed of boat in still water and rate of current is 20mph and 4mph respectively.
Answer:
Given that the manufacturers claim is true, the probability that the sample mean area is 249.6 ft.² or less is 0.42074
Step-by-step explanation:
The manufacturer claims that mean amount of foil on each roll, μ = 250 ft²
The standard deviation of the measured amount of foil per roll, σ = 2 ft.²
The number of rolls tested by the restaurant, n = 10 rolls
The mean measured by the restaurant, = 249.6
Taking the sample means as individual score, we have;
The z-score, of the sample mean is given as follows;
At = 249.6, we have;
z = (249.6 - 250)/2 = -0.2
Therefore, the probability for a mean less than or equal to 249.6, we have;
The probability, P = P(z < -0.2) = 0.42074
The probability that the sample mean area is 249.6 ft.² or less given that the manufacturers claim is true, P = 0.42074.