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3 years ago

9

A geologist visits 40 volcanoes in Alaska and California.15% of volcanoes are in California.how many volcanoes does the geologis

t visit in California and how many in Alaska?

1 answer:

ziro4ka [17]3 years ago

4 0

Answer:

The answer is 34

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A box contains different colored paper clips. The probability of drawing two red paper clips from the box without replacement is

ivann1987 [24]

Answer: 5/14 which is choice B

================================================

How I got this answer:

Define the following events

A = event of picking a red paper clip on the first selection

B = event of picking a red paper clip on the second drawing

Replacement is not made.

Now onto the probabilities for each

P(A) = 2/5 = 0.4 is given to us as this is simply the probability of picking red on the first try

P(A and B) = probability of both events A and B happeing simultaneously = 1/7

P(B|A) = probability event B occurs, given event A has occured

P(B|A) = probability of selecting red on second selection, given first selection is red (no replacement)

P(B|A) = P(A and B)/P(A)

P(B|A) = (1/7) / (2/5)

P(B|A) = (1/7) * (5/2)

P(B|A) = (1*5)/(7*2)

P(B|A) = 5/14

So if event A happens, then the chances of event B happening is 5/14

------------------

A more concrete example:

If we had 15 paperclips, and 6 of them were red, then

P(A) = (# of red)/(# total) = 6/15 = 2/5

P(B|A) = (# of red left)/(# total left) = (6-1)/(15-1) = 5/14

P(A and B) = P(A)*P(B|A) = (2/5)*(5/14) = 10/70 = 1/7

7 0

4 years ago

Read 2 more answers

Your class earned $120.00 Saturday afternoon by washing cars to raise money for the class trip. This is 1/4 of the money needed

Ilya [14]

Answer:

$360.00

(I hope this was helpful)

5 0

3 years ago

Maria has 180 pieces of chocolate candy and 144 pieces of fruity candy. She wants to give each child the same amount of candy so

ValentinkaMS [17]

144, cause each child gets a chocolate and a fruit candy

7 0

3 years ago

David hikes 21/4 miles in 1/2 an hour. What is his rate in miles per hour? At this rate, how long will it take him to walk 18 mi

harkovskaia [24]

Answer:

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C) Distance = 10.5 mph × 7 hours = 73.5 miles

Step-by-step explanation:

Given as :

The distance cover by David = $\frac{21}{4}$ miles = 5.25 miles

The time taken by David = $\frac{1}{2}$ hours = 0.5 hours

Let the speed = x mile per hour

So, Distance = Speed × Time

A)or, Speed = $\frac{Distance}{Time}$

Or, Speed = $\frac{5.25}{0.5}$

∴ speed = 10.5 miles per hour

<u>B) Again The Distance cover by him = 18 miles</u>

SO, with speed 10.5 miles per hour

The Time taken by him = $\frac{Distance}{speed}$ hours

Or, Time taken by him = $\frac{18}{10.5}$ hours

∴ Time taken by him = 1.714 hours

<u>C) Again the Time taken by him = 7 hours </u>

So, Distance cover by him with speed 10.5 mph

Or, Distance = 10.5 mph × 7 hours = 73.5 miles

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C) Distance = 10.5 mph × 7 hours = 73.5 miles Answes

8 0

3 years ago

PLEASE HELP AND EXPLAIN ALSO SHOW WORK

Goryan [66]

Answer:

x=10

Step-by-step explanation:

Make 2x the only variable on the left side of the equation. Do that by taking 3 and 5 to the left. Note: if you move/transpose any number the sign must change.

2x = 18+5-3

2x=20

Divide both sides of the equation by 2 to make x the only variable left.

x=10

6 0

3 years ago