Weight/calories per day 1000 to 1500 cal. 1500 to 2000 cal. 2000 to 2500 cal. total 120 lb. 90 80 10 180 145 lb. 35 143 25 203 165 lb. 15 27 75 117 total 140 250 110 500 based on the data in the two-way table, what is the probability that a person consumes 1,500 to 2,000 calories in a day? a. 0.22 b. 0.28 c. 0.35 d. 0.50

Option: D is the correct answer.

The probability is: 0.50

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

We are asked to find the probability that a person consumes 1500-2000 calories in a day.

Total number of people who were surveyed=500

Total number of people who consume 1500-2000 calories in a day are:250

              Hence, Probability is:

                250/500=1/2=0.50

 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

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!