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3 years ago

13

Of moisturizers available at target, 39% are sunscreen, 24% are oil free, and 13% are both oil free and sunscreen. A moisturizer

is selected at random, find the probability the moisturizer is not a sunscreen.

1 answer:

vivado [14]3 years ago

3 0

Answer:

37/76

Step-by-step explanation:

P=24+13/24+13+39=37/76

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In a department store a desk costs £120. In a sale the price in reduced by 10%. How much is the desk reduced by

goldfiish [28.3K]

Answer:

£12

Step-by-step explanation:

£120 ×10/100

= £12.

That is the answer. Good luck

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3 years ago

Wayne bought an engagement ring for Tracy.

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It would be: 420 + (420 * 17.5%)
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3 years ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

$v=\frac{1}{3}\pi r^2 h$

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

<em>We select the positiv value.</em>

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

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3 years ago