Point B is between A and C. AB = 2x + 1 and BC = 3x. If the measure of AC is 41, what is the value of x?

x = 8

Step-by-step explanation:

Since AB and BC combined would create the total amount of distance between AC your equation becomes 2x+1+3x = 41. 2x and 3x share the same variable therefore you can add them together which then makes the equation 5x+1 = 41. Now the equation can be solved, subtract 1 from both sides which gives you 5x = 40. From there you divide 5 from both sides which leaves you with 8 as the value of x.

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;

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25