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alexdok [17]
3 years ago
13

Nora made 3 gallons of lemonade.

Mathematics
2 answers:
denis23 [38]3 years ago
8 0

Answer:

B. 3 * 4 * 2

Step-by-step explanation:

<u><em>Given</em></u>

Size of lemonade = 3 gallons

Number of pint = ?

To solve this question, we have to convert 3 gallon to its equivalence in pints

First, it should be noted that, from the standard rate of conversion

1 gallon is equivalent to 8 pints;

i,e.

1 gallon = 8 pints.

If the above statement is true, then we get the corresponding value of 3 pints by multiplying 3 to both sides of the equation

3 * 1 gallon = 3 * 8 pints

3 gallons = 3 * 8 pints (<em>Expanding </em><em>8</em><em> in terms of 2's)</em>

3 gallons = 3 * 2 * 2 * 2 pints (Multiply 2 by 2)

3 gallons = 3 * 4 * 2 pints

Hence, the number of pints that correspond to 3 gallons of lemonade made by Nora is 3 * 4 * 2

weqwewe [10]3 years ago
3 0
Answer is b



Expiation
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3 years ago
In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence
Lyrx [107]

Answer:

The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

\hat p =\frac{12}{300}=0.04

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The critical value of <em>z</em> for 95% confidence level is,

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)

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3 years ago
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Vlada [557]
<2 and <3 are supplementary angles...therefore they must equal 180°

since <2 = 125
you can find the measure of <3 by subtracting the measure of <2 from 180°

180 - 125 = 55° < answer

hope this helps :)







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4 years ago
Which equation describes the graphed function?
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Using translations, it is found that the equation the represents the graphed function is:

y = -f(x) - 3, given by option C.

----------------------------------

  • The parent function is f(x) = \sqrt{x}.
  • <u>As x increases, it's value increases. In the graph, as x increases, it decreases</u>, thus it was multiplied by -1, that is, -f(x).
  • The parent function is defined for x \geq 0, and the same is valid for the function in the graph, thus we have f(x) and not f(-x).
  • The initial value of the parent function is y = 0, here it is y = -3, thus it was shifted down 3 units, that is, y = -f(x) - 3, and the correct option is C.

A similar problem is given at brainly.com/question/17072859

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