Women’s weights are normally distributed with a mean given by µ = 143 lb and a standard deviation given by σ = 29 lb. find the third decile, d3, which separates the bottom 30% from the top 70%

127.7924

Step-by-step explanation:

Given that women’s weights are normally distributed with a mean given by µ = 143 lb and a standard deviation given by σ = 29 lb.

Let x be the weight of women

X is N (143, 29)

Or is N(0,1)

From standard normal distribution table we can find D3 i.e. 30th percentile and then convert suitably to X score

30th percentile in Normal =-0.5244

Corresponding X = Mean -0.5244 * std deviation

=

The third decile, D3, which separates the bottom 30% from the top 70%.___is 127.7924____

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.

step-by-step explanation:

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