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3 years ago

A computer downloads a movie at a constant rate

Mathematics

2 answers:

Rina8888 [55]3 years ago

8 0

Answer:

Downloading speed in megabytes per minute

Step-by-step explanation:

Doss [256]3 years ago

7 0

It is usually in Meaga Bytes per second.

MB/s depending on the speed of your Internet.

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What is equivalent to 5 to the power of 2 divided by 5 to the power of 8

Travka [436]

390625 is the answer if I did it right

4 0

2 years ago

Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share an

bija089 [108]

Answer:

a) 6.5 seconds
b) 13 seconds
c) 679 ft

Step-by-step explanation:

Given function:

h(t) = -16t^2 + 208t + 3

a) Maximum height is the vertex. The ball reaches the maximum after:

h = -208/2(-16) = 6.5 seconds

b) Time the ball was in the air:

-16t^2 + 208t + 3 = 0

Solving we get approximately t = 13 seconds

c) Maximum height is at vertex, we found t above:

h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft

3 0

2 years ago

What is 100 divided by 5, (the answer) x 3 (the answer) x 79 (the answer) - 4

Pie

Answer:

4736

Step-by-step explanation:

1) 100 divided by 5 is 20

2) 20 times 3 is 60

3) 60 times 79 is 4740

4) 4740 subtract from 4 is 4736

5) Answer is 4736

4 0

2 years ago

Read 2 more answers

Nine grapefruits cost $4. Use the ratio table to determine how many grapefruits can be bought for $20.

zhannawk [14.2K]

Answer:

D. 45

_________

3 0

2 years ago

Read 2 more answers

. 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