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3 years ago

Please help :) .....................

Mathematics

1 answer:

Kay [80]3 years ago

8 0

There are web sites and videos that stand ready to show you how to bisect an angle.

The basic idea is that you draw an arc through both rays so that the points of intersection are the same distance from the vertex. Then, you construct a perpendicular bisector of the segment between those intersection points. That will bisect the angle.

For (3), you bisect each of the angles made by the original bisector. (1/2 of 1/2 = 1/4)

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. A box in a certain supply room contains four 40-W lightbulbs, five 60-W bulbs, and six 75-W bulbs. Suppose that three bulbs ar

yaroslaw [1]

Answer:

a) 59.34%

b) 44.82%

c) 26.37%

d) 4.19%

Step-by-step explanation:

(a)

There are in total 4+5+6 = 15 bulbs. If we want to select 3 randomly there are K ways of doing this, where K is the combination of 15 elements taken 3 at a time

$K=\binom{15}{3}=\frac{15!}{3!(15-3)!}=\frac{15!}{3!12!}=\frac{15.14.13}{6}=455$

As there are 9 non 75-W bulbs, by the fundamental rule of counting, there are 6*5*9 = 270 ways of selecting 3 bulbs with exactly two 75-W bulbs.

So, the probability of selecting exactly 2 bulbs of 75 W is

$\frac{270}{455}=0.5934=59.34\%$

(b)

The probability of selecting three 40-W bulbs is

$\frac{4*3*2}{455}=0.0527=5.27\%$

The probability of selecting three 60-W bulbs is

$\frac{5*4*3}{455}=0.1318=13.18\%$

The probability of selecting three 75-W bulbs is

$\frac{6*5*4}{455}=0.2637=26.37\%$

Since the events are disjoint, the probability of taking 3 bulbs of the same kind is the sum 0.0527+0.1318+0.2637 = 0.4482 = 44.82%

(c)

There are 6*5*4 ways of selecting one bulb of each type, so the probability of selecting 3 bulbs of each type is

$\frac{6*5*4}{455}=0.2637=26.37\%$

(d)

The probability that it is necessary to examine at least six bulbs until a 75-W bulb is found, supposing there is no replacement, is the same as the probability of taking 5 bulbs one after another without replacement and none of them is 75-W.

As there are 15 bulbs and 9 of them are not 75-W, the probability a non 75-W bulb is $\frac{9}{15}=0.6$

Since there are no replacement, the probability of taking a second non 75-W bulb is now $\frac{8}{14}=0.5714$

Following this procedure 5 times, we find the probabilities

$\frac{9}{15},\frac{8}{14},\frac{7}{13},\frac{6}{12},\frac{5}{11}$

which are

0.6, 0.5714, 0.5384, 0.5, 0.4545

As the events are independent, the probability of choosing 5 non 75-W bulbs is the product

0.6*0.5714*0.5384*0.5*0.4545 = 0.0419 = 4.19%

3 0

3 years ago

HELP ME OUT PLS!!!!!!

Citrus2011 [14]

Answer:

The measure of angle 7 is 34 degrees.

Step-by-step explanation:

Since a || b, angles 3 and 7 are corresponding angles which are congruent. Therefore, since the measure of angle 3 is 34 degrees, the measure of angle 7 is 34 degrees.

5 0

2 years ago

Zachary and his children went into a grocery store and will buy bananas and peaches.

stealth61 [152]

Answer:

0.5b + 1.5p ≤ 8

Step-by-step explanation:

The inequality function is as follows:

Let us assume the number of bananas acquired be b

And, the number of peaches acquired be p

Cost of each banana be $0.50

ANd, the cost of each peach be $1.50

Also the total would be $8

The possible values of banana is 0.5b

And, for peaches it would be 1.5p

So, the inequality function is

0.5b + 1.5p ≤ 8

7 0

3 years ago

What is the value of the digit 4 in the number 84230

Ratling [72]

The value of the digit 4 is worth 4,000 in the number 84,230.

8 0

3 years ago

Read 2 more answers

I bought 8 shirts that cost an average of $27. My sister then added 3 shirts. The 11 shirts had a mean cost of 28.50. How much d

Montano1993 [528]

It cost 50 cent each first i subtracted 27 from 28.50 and it gave me 1.50 de i divided 1.50 by 3 and it gave 50 cent

8 0

3 years ago