Answer:
James is 37, Rob is 44, and Kate is 35
Step-by-step explanation:
Set up an equation where x is James' age:
Rob's age can be represented by x + 7, since he is 7 years older than James
Kate's age can be represented by x - 2, since she is 2 years younger than James
Add these together in the equation and set it equal to 116:
(x + 7) + (x - 2) + (x) = 116
Add like terms and solve for x:
(x + 7) + (x - 2) + (x) = 116
3x + 5 = 116
3x = 111
x = 37
So, James is 37.
Find Rob's age by adding 7 to this:
37 + 7
= 44
Find Kate's age by subtracting 2:
37 - 2
= 35
So, James is 37, Rob is 44, and Kate is 35
Answer:
Option :" Use distance formula to prove that the lengths of the diagonals are equal" is correct
Step-by-step explanation:
Option : Use distance formula to prove that the lengths of the diagonals are equal" is correct.
Because " By using the coordinate geometry to prove that the diagonals of the rectangle are congruent, first we have to find the lengths of the top and bottom of the rectangle and then solve it for the lengths of the diagonals by using the distance formula".
(2.34/ 7.89) times 100 = ˜29.65%
Answer:
$72
Step-by-step explanation:
Cost of the lunch = $60
Sales tax = 5% of $60
= 5/100 × 60
= 0.05 × 60
= $3
Tip = 15% of $60
= 15/100 × 60
= 0.15 × 60
= $9
how much in total did he pay?
Total amount paid = cost of the lunch + sales tax + tip
= $60 + $3 + $9
= $72
Latrell paid $72 in total for the lunch
Answer: a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318
Step-by-step explanation:
Problem 8-4 A computer time-sharing system receives teleport inquiries at an average rate of .1 per millisecond. Find the probabilities that the number of inquiries in a particular 50-millisecond stretch will be:
Since we have given that
Using the poisson process, we get that
(a) less than or equal to 12
probability= 
(b) equal to 13
probability=
(c) greater than 12
probability=
(d) equal to 20
probability=
(e) between 10 and 15, inclusively
probability=
Hence, a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318
