Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? check all that apply. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4

Option B and C are correct.

Step-by-step explanation:

The given equation is 2.3p - 10.1=6.5p - 4 - 0.01p

By solving 2.3p - 10.1 = 6.49 p-4

Option A. 2.3p - 10.1 = 6.4p-4   (Incorrect)

Option B. 2.3p - 10.1 = 6.49p - 4 (correct)

Option C. 230p - 1010 = 650p - 400 - p

230p - 1010 = 649p - 400

By dividing the equation by 100

2.30p - 10.1 = 6.49p - 4 (correct)

Option D. 23p - 101 = 65p - 40 - p

23p - 101 = 64p - 40

By dividing the equation by 10

2.3 p - 10.1 = 6.4p - 4   (Incorrect)

Option E. 2.3p - 14.1 = 6.4p - 4 (Incorrect)

Therefore, Option B and C are correct.

step-by-step explanation:

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;