In a survey of 500 U. S. adults, 45% of them said that lounging at the beach was their "dream vacation.’ Assuming this to be a simple random sample of U. S. adults, the lower confidence limit of the 95% confidence intervals for the proportion of U. S. adults who consider lounging at the beach to be their dream vacation would equal to:

0.4064

Step-by-step explanation:

Number of adults sampled (n) = 500 strikes

Z-score for a 95% confidence interval (Z) = 1.960

Proportion that said that lounging at the beach was their "dream vacation.’ (p) = 0.45

The lower confidence bound (L) for a confidence interval of a proportion is determined by the following expression

 Applying the given data:

The lower confidence bound for the proportion of U.S. adults who consider lounging at the beach to be their dream vacation would equal to 0.4064.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right