Given two independent random samples with the following results:

n1=16 x‾1=128 s1=20   

n2=8 x‾2=99 s2=19

use this data to find the 90% confidence interval for the true difference between the population means. assume that the population variances are equal and that the two populations are normally distributed.

step 1 of 3: find the point estimate that should be used in constructing the confidence interval.

step 2 of 3: find the margin of error to be used in constructing the confidence interval. round your answer to six decimal places.

step 3 of 3: construct the 90% confidence interval. round your answers to the nearest whole number.

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step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).