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3 years ago

Graph of line going through ordered pairs (0, 300) and (450, 0)

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

4 0

The equation would be y=2/3x+300

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

2 years ago

mihalych1998 [28]

Answer

Secured

Step-by-step explanation:

eee

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3 years ago

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The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds

Lerok [7]

Answer:

$P_B(X\leq35)=P_N(X$

Step-by-step explanation:

If we approximate the binomial distribution with a normal distribution, we have to apply a correction factor for the fact that we are now dealing with a continuous variable instead of a discrete one, as it was with the binomial distribution.

The probability of no more than 35 defective CDs: P(X<35)

In this case, as X=35 is not included in the interval, we start the interval from X=35-0.5=34.5.

$P_B(X\leq35)=P_N(X$

being Pb the probability under the binomial distribution and Pn the probability under the normal distribution.

The area for the normal distribution is the one below X=34 (or P(X<34)).

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3 years ago

Which expression is equivalent to (3x2-6) – (5x2 - 7x+5)-(9x + 3)?

andrezito [222]

Answer:

It equals -2

Step-by-step explanation:

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3 years ago

The scatter plot shows the number of hats and scarves each knitter sold at a knitting show.

SOVA2 [1]

I believe your answer should be 5!

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3 years ago

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