Simplify: 5x+2(3−2x)+7

x+13

Step-by-step explanation:

5x+2(3-2x)+7

5x+6-4x+7 opening bracket...

now collect like terms...

5x-4x+6+7

x+13

x + 13

Step-by-step explanation:

5x + 2(3 - 2x) +7

Distribute the 2 into (3 - 2x)

5x + 6 - 4x + 7

Combine like terms

x + 13

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;

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you