Rebecca earns $4250 per month, of which 24% is taken out of her paycheck for federal and state income taxes and other required deductions. last month she spent $975 for rent and $317 for food. what percent of her take home pay did she spend on rent and food combined ?

the percent of her take home he spent was %39.22 combined

Step-by-step explanation:

The first thing we have to do is to substract the percentage that is deducted for taxes which is 24% so 24% out of $4250 is ( we use a simple three rule):

$4250 100%

x        24%

x = (4250 * 24) / 100

x =  $1020

Then we substract the taxes out of the gross monthly amount:

x= $4250- $1020

x= $3230

Now what we have to do is to calculate how much is $975 out of $3230 so we have to apply a simple three rule: if $3230 is 100% how much would it be $950.

$3230    100%

$ 950      x

x= (950 * 100) / 3230

x= 95000/4250

x= 29.41%

The next thing is to calculate the percentage spent on food again with a simple three rule:

$3230 100%

$317   x

x = (317 * 100) / 3230

x=  31700/ 3230

x=   9.81 %

Now we add the two percentages  29.41%+9.81%= 39.22%

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

3; 9 is 8 to -4

step-by-step explanation: