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Lostsunrise [7]
3 years ago
12

Tuesday and Wednesday work

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0
Prime factorizations - Wednesday work
1. 44     2^2 • 11
2. 125    5^3
3. 85     5 • 17
4. 39     3 • 13
5. 63     3^2 • 7
6. 240    2^4 • 3 • 5
7. 87     3 • 29
8. 45     3^2 • 5
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Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of bein
Rus_ich [418]

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
I have 7 students. Two of them love skateboarding, and five love biking. If my number of students doubles, but the ratio of pref
atroni [7]

Answer:

10 (love biking)

Step-by-step explanation:

The ratio is 2(Skateboarding):5(biking) which, when doubled is; 4(skateboarding):10(biking)

5 0
3 years ago
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Rosie buys 1/2 of a watermelon at the farmer's market. She shares it equally with her two best friends. 1/2 divided by 3. How mu
Andre45 [30]
1/2 divide by 3 or 1/[2(3)] which will be equal to 1/6
7 0
3 years ago
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The lighthouse was moved 230 feet inland at a rate of 40 feet per hour. How many hours did it take to move the lighthouse? What
Aleks04 [339]

Answer:

5.75

Step-by-step explanation:

4) 230 ÷ 40 = 5.75

3 0
3 years ago
Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years. Five years after Brian's initial inve
pentagon [3]

Answer:

Brian has $776 more account in his account than Chris.

Step-by-step explanation:

Compound interest Formula:

A=P(1+r)^t

I= A-P

A= Amount after t years

P= Initial amount

r= Rate of interest

t= Time in year

Given that,

Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years.

Here P = $10,000 , r= 4%=0.04, t=10 years

The amount in his account after 10 years is

A=10000(1+0.04)^{10}

   =$14802.44

  ≈$14802

Five years after Brian's investment,Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years.

Here P = $10,000 , r= 7%=0.07, t=5 years

The amount in his account after 5 years is

A=10000(1+0.07)^{5}

   =$14025.51

  ≈$14026

From the it is cleared that Brian has $(14802-14026)=$776 more account in his account than Chris.

6 0
2 years ago
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