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mixer [17]
3 years ago
14

The store is selling lemons at $0.56 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough l

emons to make three 9-
Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer:

$6.72

Step-by-step explanation:

The store is selling lemons at $0.56 each. Each lemon yields about 2 tablespoons of juice.How much will it cost to buy enough lemons to make three  9-inch lemon pies, each requiring half a cup of lemon juice?

1 cup = 16 table spoon of juice

half a cup =  8 table spoon of juice

1 pie require half a cup of lemon juice. so 1 pie requires 8 tablespoon of lemon juice

Each lemon yields about 2 tablespoons of juice

2 times 4 = 8

So 4 lemon needed to make a pie

cost of 1 lemon = 0.56

cost of 4 lemons = 0.56 \cdot 4=2.24

cost of lemon for making 3 pie= 3 \cdot 2.24=6.72

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A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required
Katyanochek1 [597]

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
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The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The estimate is of \pi = 0.61, while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}

\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2

n = 1015.5

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at brainly.com/question/25890103

8 0
1 year ago
In a bag of marbles, there are 4 blue marbles, 6 yellow marbles, 3 red marbles and 6 green marbles. If you choose a yellow marbl
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Hope this helps

Have a great day/night
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The population of two different cities are modeled by the equations shown below. The population (in thousands) is represented by
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