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2 years ago

What is the least common denominator (LCD) of 9/10 and 5/8?

Mathematics

2 answers:

sergeinik [125]2 years ago

6 0

Answer:

Step-by-step explanation:

because the the LCD of them is 40

iris [78.8K]2 years ago

5 0

Answer:

the least common denominator is 40

Step-by-step explanation:

brainliest pls

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Taylor wants to install new carpet in her living room. The room length is 15 ft and the width is 15 ft. If the cost of the carpe

irga5000 [103]

Answer:

$1,800.

Step-by-step explanation:

15 x 15 = 225

225 x 8 = 1800

Feel free to let me know if you need more help! :)

7 0

3 years ago

If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible

Evgen [1.6K]

Answer:

Volume = $7969$ cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box be A and the height of the box be H.

Area of material required to make the box is equal to is $A^2 + 4*A*H.$

$A^2 + 4*A*H = 1900$

Rearranging the above equation, we get -

$`H = \frac{(1900 - A^2)}{(4*A)}$

Volume of box is equal to product of base area of box and the height of the box -

$V = A*A* H$

Substituting the given area we get -

$\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}$

For maximum volume

$\frac{dV}{dA} =0$

$\frac{ 1900}{4} - \frac{3*A^2}{4} = 0$

$A^2 = \frac{1900}{3}$

Volume of the box

= $\frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }$

= $7969$ cubic centimeter

3 0

3 years ago

The labor force participation rate is the number of people in the labor force divided by the number of people in the country who

zepelin [54]

Answer:

The expected participation rate is 0.637.

The standard error is 0.04397

Step-by-step explanation:

For each working age people asked, there are only two possible outcomes. Either they are in the labor force, or they are not. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability:

Expected value for the participation rate: The expected value is the probability of a success. In this problem, a success is a working age people being in the labor force. 63.7% of them are. So $\pi = 0.637$ . This means that the expected participation rate is 0.637.