Answer:
a) 0.68
b) 0.08
c) 0.74
Step-by-step explanation:
Given that:
Probability of hitting bulls eye, P(B) = 0.26
Probability of an inner, P(I) = 0.42
Probability of an outer, P(O) = 0.24
a) Probability of hitting an inner or better (inner or bulls eye):
P(I or B) = P(I 
B)
Formula for P(P Q) where P(P) and P(Q) are the probabilities of two mutually exclusive events i.e. having nothing in common:
<em>P(P </em><em> Q) = P(P) + P(Q)</em>
P(I B) = P(I) + P(B) = 0.26 + 0.42 = <em>0.68</em>
b) Probability of failing to hit the target:
P(F) = 1 - (P(B)+P(I)+P(O))
P(F) = 1 - (0.26 + 0.42 + 0.24)) = 1 - 0.92 = <em>0.08</em>
c) Probability of failing to score a bulls eye:
P(B)' = 1 - P(B) = 1 - 0.26 = <em>0.74</em>
So, the answers are:
<em>a) 0.68</em>
<em>b) 0.08</em>
<em>c) 0.74</em>
The correct option is B.
Pan balance is one of the instruments that are used to measure weights of objects. The instrument is designed in such a way that, it has two pans and a standard weight can be added to one of the pan to determine the weight of the object in the other pan. In the question given above, the pan balance is to be used to measure the weight of a large rock. Salt is the right object to be used on the second pan because it can be packaged in standard weights and it is very light in weight. So, it will be very sensitive to the weight of the rock that is been added on the other pan.
Answer:
P=x/2.2
Step-by-step explanation:
We can create an equation to solve this.
Let the number of pounds be P
Let the number of kilograms be X
Now, we know that for 1 kilogram, there is 2.2 pounds.
Therefore if we have 1 kilogram (X) then we will have 2.2 pounds (P).
<u>X=2.2P</u>
All you have to do now is rearrange the equation to find the number of pounds in x kilograms. To do this divide both sides by 2.
Therefore you will get P=x/2.2
Answer:
- equation: d(h) = 0.25|h -1600| -400
- depth is 250 ft at 1000 ft and 2200 ft from the west edge
Step-by-step explanation:
The crater shape can be modeled by an absolute value function with a slope of 0.25. The vertex of the function will not be at (0, 0) but will be at (1600, -400). The usual methods of translating functions apply. Horizontal displacement of the vertex is subtracted from the independent variable; vertical displacement is added to the function value.
d(h) = 0.25×|h -1600| -400
We know the horizontal displacement is 1600 ft, because the depth changes at a rate of 1/4 foot for each horizontal foot. A depth change of 400 feet will require 1600 horizontal feet to accomplish.
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At a depth of 250 ft, the distance from the west edge can be found from ...
-250 = 0.25|h -1600| -400
150 = 0.25|h -1600| . . . . . . . . add 400
600 = |h -1600| . . . . . . . . . . . multiply by 4
This resolves to two equations:
- -600 = h -1600 ⇒ h = 1000
- 600 = h -1600 ⇒ h = 2200
The depth is 250 ft at distances of 1000 ft and 2200 ft from the west edge.
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<em>Comment on the equation</em>
We have chosen to make depths be negative numbers. If you want the equation to give positive numbers for depth, multiply it by -1:
d = 400 -0.25×|h -1600|
Answer:
x = 5
Step-by-step explanation:
Step 1: Write equation
-3/4 + 2/5x = 7/20x - 1/2
Step 2: Subtract 7/20x on both sides
-3/4 + 1/20x = -1/2
Step 3: Add 3/4 to both sides
1/20x = 1/4
Step 4: Divide 1/20 on both sides
x = 5
