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2 years ago

11

James has a 6-ft board that is 24 in. wide. He wants to cut it into five pieces to make a small bookshelf with two shelves. The

front and back will not be covered. What should the dimensions of the bookshelf be to maximize the volume and use all of the 6 ft board?

1 answer:

Elodia [21]2 years ago

3 0

Answer:

width=x, length = y

(in ft)

3x + 2y = 6y>x

y = 1.5 , x= 1

1ft = 12 in 1.5ft = 18in

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The graph below shows a quadratic function f(x) and an absolute value function g(x)

Sophie [7]

Answer:

The x-values that are approximate solution of the equation $f(x) = g(x)$ are $x_{1} \approx -3.5$ and $x_{2}\approx 5$ , respectively.

Step-by-step explanation:

From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for $f(x) = g(x)$ , which are described below:

$x_{1} \approx -3.5$ and $x_{2}\approx 5$

The x-values that are approximate solution of the equation $f(x) = g(x)$ are $x_{1} \approx -3.5$ and $x_{2}\approx 5$ , respectively.

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2 years ago

The campsite is square in shape and has an area of 4225 m2. What is the length of the campsite?

ziro4ka [17]

65 x 65= 4,225 m²
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2 years ago

Read 2 more answers

Help please!! Step by step!!

GarryVolchara [31]

Answer:

$P(Ice Cream|Frogtown) = 67.4\%$

Step-by-step explanation:

Given

The attached plot

Required

P(Ice Cream|Frogtown)

This is calculated as:

$P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}$

From the attachment;

$P(Ice\ Cream\ n\ Frogtown) = 0.31$

$P(Frogtown) = 0.31 + 0.15 = 0.46$

So, we have:

$P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}$

$P(Ice Cream|Frogtown) = \frac{0.31}{0.46}$

$P(Ice Cream|Frogtown) = 0.6739$

Express as percentage

$P(Ice Cream|Frogtown) = 0.6739 * 100\%$

$P(Ice Cream|Frogtown) = 67.39\%$

$P(Ice Cream|Frogtown) = 67.4\%$ -- approximated

5 0

2 years ago

It takes Bruce 12 h to complete his training. It takes Oliver approximately 2 days, 2 h, and 15 min to complete his training. Ho

Bond [772]

Answer:

Oliver completed his training work in 50.25 hours

Step-by-step explanation:

we know that

$1\ day= 24\ hours$

$1\ hour=60\ minutes$

we have

$2\ days, 2\ h,\ and\ 15\ min$

<u><em>Convert days to hours</em></u>

$2\ days=2(24)=48\ hours$

<u><em>Convert minutes to hour</em></u>

$15\ min=15(1/60)=1/4=0.25\ h$

so

$2\ days, 2\ h,\ and\ 15\ min=(48)+(2)+(0.25)=50.25\ h$

therefore

Oliver completed his training work in 50.25 hours

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2 years ago

A researcher is interested in knowing whether responses to lowering the legal age for drinking alcohol varies by gender. Which s

likoan [24]

The statistical test that would be most appropriate determine the answer the researcher is interest in knowing is a chi-square test.

<h3>What is a chi-square test?</h3>

A chi-square test is a statistical test used to test the relationship between categorical variables. It is used to determine the difference between the expected data and the observed data is due to chance.

Chi squared = $\frac{(O_{i} - E_{i} )^{2} }{E_{i} }$

Where:

$O_{i}$ = observed value
$E_{i}$ = expected value.

The researcher is interested in knowing if the response to lowering the legal age for drinking alochol (observed value)) varies by gender (expected value). Thus, a chi-square test would be used.

To learn more about chi-square, please check: brainly.com/question/14082240

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1 year ago