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F(x)=-x^2+19<br><br> Find f(3)

Arturiano [62]

Answer:

f(3) = 10

Step-by-step explanation:

f(x)=-x^2+19

Let x= 3

f(x)=- (3)^2+19

= -9 + 19

= 10

8 0

3 years ago

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Eric is designing a logo for a company. The logo consists of two identical parallelograms joined at their longest sides. One of

Sati [7]

Answer:

$A=3.125\ cm^2$

Step-by-step explanation:

Given that,

The base of the parallelogram, b = 2.5 cm

Height of the parallelogram, h = 1.25 cm

We need to find the area of the logo. The formula for the area of the parallelogram is given by :

$A=b\times h\\\\A=2.5\times 1.25\\A=3.125\ cm^2$

So, the area of the logo is $3.125\ cm^2$ .

8 0

4 years ago

A box in a supply room contains 24 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9 are rated 18-watt, and 7 are

Marrrta [24]

Answer:

a) There is 17.64% probability that exactly two of the selected bulbs are rated 23-watt.

b) There is a 8.65% probability that all three of the bulbs have the same rating.

c) There is a 12.45% probability that one bulb of each type is selected.

Step-by-step explanation:

There are 24 compact fluorescent lightbulbs in the box, of which:

8 are rated 13-watt

9 are rated 18-watt

7 are rated 23-watt

(a) What is the probability that exactly two of the selected bulbs are rated 23-watt?

There are 7 rated 23-watt among 23. There are no replacements(so the denominators in the multiplication decrease). Then can be chosen in different orders, so we have to permutate.

It is a permutation of 3(bulbs selected) with 2(23-watt) and 1(13 or 18 watt) repetitions. So

$P = p^{3}_{2,1}*\frac{7}{24}*\frac{6}{23}*\frac{17}{22} = \frac{3!}{2!1!}*\frac{7}{24}*\frac{6}{23}*\frac{17}{22} = 3*\frac{7}{24}*\frac{6}{23}*\frac{17}{22} = 0.1764$