The diagram below shows the contents of a jar from which you select marbles at random.a. What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
b. What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
c. Are the answers to parts (a) and (b) the same? Why or why not?

Answers

Answer 1

Answer: So,

There are 4 red marbles.
There are 7 blue marbles.
There are 5 green marbles.
There are 16 marbles in total.

a.
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
$(4)/(16) \ or\ (1)/(4)$

Next, the probability of selecting a blue marble.
$(7)/(16)$

Multiply the probabilities together.
$(1)/(4) * (7)/(16) = (7)/(64)$
That is the probability for event a.

b.
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
$(4)/(16) \ or\ (1)/(4)$

Next, the probability of selecting a blue marble WITH A RED MARBLE REMOVED.
$(7)/(15)$

Multiply the probabilities together.
$(1)/(4) * (7)/(15) = (7)/(60)$
That is the probability for event b.

c.
Obviously:
$(7)/(64) \neq (7)/(60)$
So the answer is no.

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What are the factor pairs of 75??I already did 1 × 75, so...

they need to be multiplication sentences though. for example: 1 × 75 = 75.

:)

Answers

15×5=75 is one factor pair

10x5 would probaly work, i hope i helped.....

A population numbers 508 organisms initially and increases by 6.2% each year.Suppose P represents population, and t the number of years of growth. Write an exponential model to represent this situation.

Answers

To find the population after t number of years, multiply the starting population by 1 plus the percent increase raised to the number of years.

The equation would be: P = 508(1.062)^t

Mr. Walker was hiking across Massachusetts. He has three days to cover 70 miles. On the first day, he walked 6 hours at a speed of 4 mph. On the second day he walked the same number of hours, but his speed was only 3 mph. On the third day, he walked 8 hours to cover the remaining distance. What was his speed on the third day?

Answers

so 6 hours at 4 miles per hour
4 miles per hour means 4 mieles in one hour
6 hours
distance=time times (distance pers unit of time)
distance=6 times 4=24

second day
same number of hours=6
speed=3

distance=time times (distance per units of time)
distance=6 times 3=18

so we add 1 and 2 days together
24+18=42
so he has covered 42 mles
he eed to cover 70
70=42+rest
subtract 42
28=rest

so he traveled 28 miles on third day
in 8 hours
sppeed=distance divided by time
time=8
distance=28
28/8=14/4=7/2=3 and 1/2 miles per hour=3.5 miles per hour

answer is 3.5 miles per hour

Adrian built a structure out of 10 congruent cubes. If each cube has a volume of 8 cu. centimeters, what is the totalvolume of the structure?
10 cubic centimeters
© 80 cubic centimeters
120 cubic centimeters
© 64 cubic centimeters

Answers

Answer:

Option (b).

Step-by-step explanation:

It is given that Adrian built a structure out of 10 congruent cubes.

Volume of each cube = 8 cubic centimetres.

We need to find the total volume of the structure.

Total volume = No. of cubes × Volume of each cube

$V=10* 8$

$V=80$

Therefore, the total volume of the structure is 80 cubic centimetres.

Hence, option (b) is correct.

Compare √42 and √58 plotted on the number line. What is the approximate difference in tenths between the two values? A number line going from 6 to 10. StartRoot 42 EndRoot is plotted between 6 and 7, and StartRoot 58 EndRoot is plotted between 7 and 8. StartRoot 58 EndRoot is about greater than StartRoot 42 EndRoot.