the sum of two numbers is 63. the smaller number is 21 less than the larger number. what are the numbers

42 and 21

Step-by-step explanation:

Let x and y be the two numbers

the sum of the two numbers is 63

y+x = 63

The difference between the numbers is 21

x-y= 21

so the two equations are :

add both equations to eliminate y

x+y+x-y = 63+21

2x =84

x= 42

y= 42-21 = 21

the two numbers are 42 and 21

step- i d k and i d c : )

you: : 0

bye

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;