1. m(4 + p) + p(3+ m) 2. 4r(3 + 4p) + 3p(8 -r)
3. (3 + 2h)(5 + 3h)
4. (3 + 4y)(5y - 1)
5. (2n - 3p)(3p - 2m)

Expand and simplify each of the following . Please give me the correct answer. Thanks

1. 4m + 2mp + 3p

2. 12r + 13pr + 24p

3. 6h^2 + 19h + 15

4. 20y^2 + 11y - 3

5. -9p^2 - 4mn + 6mp + 6np

Step-by-step explanation:

1. m(4 + p) + p(3+ m)

   4m + mp + 3p + mp

 4m + (mp + mp) + 3p

  4m + 2mp + 3p

2. 4r(3 + 4p) + 3p(8 -r)

  12r + 16pr + 24p + -3pr

  12r + (16pr - 3pr) + 24p

  12r + 13pr + 24p

3. (3 + 2h)(5 + 3h)

  3(5 + 3h) + 2h(5+3h)

  15 + 9h + 10h + 6h^2

  6h^2 + 19h + 15

4. (3 + 4y)(5y - 1)

  3(5y - 1) + 4y(5y - 1)

  15y - 3 + 20y^2 - 4y

  20y^2 + 11y - 3

5. (2n - 3p)(3p - 2m)

   2n(3p - 2m) + -3p(3p - 2m)

  6np - 4mn + -9p^2 + 6mp

  -9p^2 - 4mn + 6mp + 6np

Hope this helps!

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;