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2 years ago

14

At a used book store, Valentina purchased three books for $2.65 each. If she paid with a $20 bill, how much change did she recei

ve?

1 answer:

Oksana_A [137]2 years ago

7 0

Answer:

12.05$

Step-by-step explanation: 2.65$ x 3 - 20$= 12.05$

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A flower vase, in the form of a hexagonal prism, is to be filled with 512 cubic inches of water. Find the height of the water if

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Volume of the base = base area x height
512 = 3√3 / 2 a²h
h = 197/a², where a is the length of the side of the hexagonal base.

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Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent fun

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I think it's d. C and D

Step-by-step explanation:

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Only 6 of the 75 trees in a park are at least 30 feet tall. What percent of the trees are under 30 feet tall?

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Percentage of tress under 30 = 6/75 x 100 = 8%

Answer: 8%

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2 years ago

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

katen-ka-za [31]

Answer:

$\displaystyle y = \frac{1}{3}x$

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 - 4}{9 - 12} = \frac{1}{3}$

Then plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope</em><em> </em><em>Formula</em><em> </em>since you get it done much swiftly that way. It does not matter which ordered pair you choose:

−4 = ⅓[−12] + b

−4

$\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x$

_______________________________________________

−3 = ⅓[−9] + b

−3

$\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x$

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2 years ago

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A study was conducted to determine the percent of children that want to grow up work in the same career as a parent. In a sample

Irina-Kira [14]

Answer:

Step-by-step explanation:

From the information given,

Number of sample, n = 200

Probability of success, p = 43/100 = 0.43

q = 1 - p = 1 - 0.43

q = 0.57

For a confidence level of 95%, the corresponding z value is 1.96.

The formula for determining the error bound for the proportion is

z × √pq/n

= 1.96 ×√(0.43 × 0.57)/200

= 1.96 × 0.035 = 0.0686

The upper boundary of the population proportion is

0.43 + 0.0686 = 0.5

The lower boundary of the population proportion is

0.43 - 0.0686 = 0.4

The error in the solution is

phat = 0.43/200 = 0.00215

Also,

[-0.0043, 0.0086] is wrong

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2 years ago