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murzikaleks [220]

3 years ago

9

On the last day of a Shakespeare class, an English teacher asked her students which play they liked most. Out of the 18 students

who have submitted responses so far, 6 liked Much Ado About Nothing best. What is the experimental probability that the next student to respond likes Much Ado About Nothing best?
Write your answer as a fraction or whole number.

1 answer:

Vika [28.1K]3 years ago

7 0

Answer:

1/3

Step-by-step explanation:

There were 18 students and six liked Much Ado About Nothing. So, you could write this as 6/18 which simplifies to 1/3.

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Which expression represents "10 less than the product of 12 and 9"?

seraphim [82]

Answer:

answer.

Step-by-step explanation:

B. 12x9-10 is the answer

6 0

2 years ago

A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

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2 years ago

On a vacation in Puerto Rico rose jumped off a cliff into a river in El Yunque go forest reserve her height as a function of tim

gayaneshka [121]

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When Rose hit the water, the height of the jump is 0, so: h(t) = 0.

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-16t² + 16t + 480 = 0

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Δ = 1² - 4. (-1) . 30

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2 years ago