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3 years ago

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4. In the accompanying diagram, AABC – ADEF, DE = x + 2, DF = x+8, AB = x-3, and AC = x. Determine, algebraically, the value of

x. E X-3 tX = X+2+x+8 2X-3=2x+10 2x+B - 2x +3 B A 스 x+2 - 13 x-3 ol C X48 А x Х D

1 answer:

alexira [117]3 years ago

3 0

Danggg that is sooo longgg I feel bad for you

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What is the second step in the construction?

MrMuchimi

Answer:

To draw the perpendicular bisector of any line segment, the compass opening should be the kept constant at any value a little more than half the length of the line segment. Then the compass point should be kept on one end and arcs drawn above and below and then keeping the same compass opening the same as mentioned before, the compass point should be placed on the other end and the arcs should be drawn above and below the segment touching the previous arcs.

Thus, out of the given options, the first option best suits the next step Herberto should take.

Step-by-step explanation:

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3 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

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

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

(b) What is the probability that all three of the bulbs have the same rating?

$P = P_{1} + P_{2} + P_{3}$

$P_{1}$ is the probability that all three of them are 13-watt. So:

$P_{1} = \frac{8}{24}*\frac{7}{23}*\frac{6}{22} = 0.0277$

$P_{2}$ is the probability that all three of them are 18-watt. So:

$P_{2} = \frac{9}{24}*\frac{8}{23}*\frac{7}{22} = 0.0415$

$P_{3}$ is the probability that all three of them are 23-watt. So:

$P_{3} = \frac{7}{24}*\frac{6}{23}*\frac{5}{22} = 0.0173$

$P = P_{1} + P_{2} + P_{3} = 0.0277 + 0.0415 + 0.0173 = 0.0865$

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

(c) What is the probability that one bulb of each type is selected?

We have to permutate, permutation of 3(bulbs), with (1,1,1) repetitions(one for each type). So

$P = p^{3}_{1,1,1}*\frac{8}{24}*\frac{9}{23}*\frac{7}{22} = 3**\frac{8}{24}*\frac{9}{23}*\frac{7}{22} = 0.1245$

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

3 0

3 years ago

Realice la óperacion y exprese el resultado en notación científica (0,00000826) (235×10 elevado a -7) sobre 0,0017×10 elevado a

earnstyle [38]

Answer:

1,42 * 10 ^ -5

Step-by-step explanation:

La notación científica también se conoce como forma estándar.

Tenemos que realizar la siguiente operación y dejar el resultado en forma estándar.

Entonces;

0,00000826 * 235 × 10 ^ -7 / 0,0017 × 10 ^ -2

También;

8.26 * 10 ^ -6 * 2.35 * 10 ^ -5 / 1.7 * 10 ^ -5

= 19,411 * 10 ^ -11 / 1,7 * 10 ^ -5

= 1,42 * 10 ^ -5

6 0

2 years ago

A tree is 7 ft tall when it is planted and this type of tree grows two feet per year. How tall will the tree be in 6 years? How

s344n2d4d5 [400]

2x+7=?

X=6

2(6)+7=

12+7=19

In six years, the tree will be 19ft

2x+7=44

Minus seven on both sides

2x=37

Divide two from both sides

X=18.5

Thus, it will take 18 and a half years for the tree to reach 44ft

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3 years ago

Need value of x. circle geometry

kogti [31]

Step-by-step explanation below.

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2 years ago