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2 years ago

The sum of three consecutive natural numbers is 465, find the numbers

Mathematics

1 answer:

QveST [7]2 years ago

3 0

Answer:

151, 152, 153

Step-by-step explanation: Add all three and it equals 465, and it follows the rules of consecutive numbers.

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A firm places three orders for supplies among five different distributors. Each order is randomly assigned to one of the distrib

Whitepunk [10]

Answer:

a) 12/25

b) 1/25

c) 12/25

Step-by-step explanation:

a) The first order can go anywhere, so it has 5 possibilities out of 5. The second order can go to any distributor except the one that got the first order, so it has 4 possibilities out of 5. The third order may go to any of the 3 remaining distributors, giving us 3 chances out of 5. So the probability is 5/5*4/5*3/5 = 12/25

b) The first order, again, can go anywhere, so it has 5 out of 5. The second and third order have to go to the same distributor, so, in each case, we have only 1 option available out of 5. The probability of this event is 5/5*1/5*1/5 = 1/25

c) This event is the complementary event of the union of the other 2 events the exercise has. If neither the same distributor got all 3 orders non all orders go to different distributors, then necessarily one distributor should got 2 orders and other 1. The probability of this event is, therefore 1-12/25-1/25 = 12/25.

8 0

2 years ago

The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the follow

mel-nik [20]

Hi there! Hopefully this helps!

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It decreased by 30 cents per week.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The average rate of change is calculated as:

the ratio of the sum of the change in the three weeks divided by the number of weeks. (The number of weeks being 3)

Rate of change = $\frac{-60 -10 -20}{3}$ .

(-60 + -10 + -20 = -90). So, to simplify it:

$\frac{-90}{3}$ = -30

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Incase you are confused:

Since the average rate of change is negative, this means that the stock price has decreased.

3 0

1 year ago

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

Eva8 [605]

Answer:

Step-by-step explanation:

i took the test

3 0

2 years ago

Read 2 more answers

A new crew of painters can paint a small apartment in 12 hours. An experienced crew can paint the small apartment in 6 hours.

Varvara68 [4.7K]

The new crew works at the rate 1/12 apt/hr.
The old crew works at the rate 1/6 apt/hr.

Let x = hours required to paint the apartment when the two crews work together.

That is,
(1/12 + 1/6 apt/hr)*(x hr) = (1 apt)
(3/12)x = 1
(1/4)x = 1
x = 4 hours

Answer: 4 hours

4 0

2 years ago

A box contains 10 balls numbered from 1 to 10 inclusive. if ann removes a ball at random and replaces it, and then jane removes

Mrac [35]

The probability of the first event happening is 1/10 or 0.1
If Ann puts the ball back, there are still 10 balls of which, Ann removed 1. Therefore the probability of the second event is also 0.1.
0.1x0.1=0.01, which is the probability that both women removed the same ball

4 0

2 years ago