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2 years ago

The cost c, for manufacturing x flags is given by c=x? -24x +39. Find the number of flags manufactured if the cost is $120.

Mathematics

1 answer:

IRINA_888 [86]2 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

You want to find x when c = 120.

120 = x^2 -24x +39

x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form

(x -27)(x +3) = 0 . . . . . .factor it

Solutions are ...

x = 27, x = -3 . . . . . values of x that make the factors zero

The number of flags manufactured for a cost of $120 is 27 flags.

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A greenhouse is offering a sale on tulip bulbs because they have inadvertently mixed pink bulbs with red bulbs. If 40% of the b

True [87]

Answer:

The probabilty of having at least one pink bulb if 4 bulbs are purchased is 13%.

Step-by-step explanation:

The proportion of pink bulbs is p=0.4.

If X is the amount of pink bulbs in a group of 4 bulbs, we can model this as a binomial distribution problem.

The probability that at least one of the bulbs is pink is P(X≥1)

$P(X\geq 1)=1-P(X=0)=1-(\binom{4}{0}p^0(1-p)^4)\\\\P(X\geq 1)=(1-p)^4=0.6^4=0.1296$

The probabilty of having at least one pink bulb if 4 bulbs are purchased is 13%.

6 0

3 years ago

the height y of a ball thrown by a child is given by y = -1/12x^2 + 2x + 4. how high is the ball when it is at its maximum heigh

zhuklara [117]

Answer:

The height of ball when it is at maximum height is 12 unit

Step-by-step explanation:

Given as :

A ball is thrown by child to height y

And y as a function x is y = $-\frac{1}{12}x^{2}+2x+4$

So, for maximum value of height ,

$\frac{\partial y}{\partial x}$ = 0

Or , $\frac{\partial (-\frac{1}{12}x^{2}+2x+4)}{\partial x}$ = 0

Or, $-\frac{1}{12}(2x)+2$ = 0

Or, $\frac{1}{12}(2x)$ = 2

or, x = 12

Hence The height of ball when it is at maximum height is 12 unit Answer

3 0

3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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6 0

3 years ago