Answer: D. 0.50
Step-by-step explanation:
Formula for probability :
The given two-way table :
Weight/Calories 1000-1500 1500-2000 2000-2500 Total
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
To find the probability that a person consumes 1500-2000 calories in a day., we need :
a) The total number of people surveyed. (Total outcomes)
b) The number of people consume 1500-2000 calories in a day. (favorable outcomes)
From the above table,
Total people surveyed=500
Number of people consume 1500-2000 calories in a day are=250
Then , the required probability will be :-
Hence, the probability that a person consumes 1,500 to 2,000 calories in a day=0.50
The ladder must be 9.4 ft to reach the top of the building
Here, we want to get the length of the ladder that will reach the top of the building
Firstly, we need a diagrammatic representation
We have this as;
As we can see, we have a right triangle with the hypotenuse being the length of the ladder
We simply will make use of Pythagoras' theorem which states that the square of the hypotenuse is equal to the sum of the squares of the two other sides
Thus, we have;
