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dlinn [17]
3 years ago
7

Three horses, call them a, b, and c, are going to race against each other. the probability that a will win the race is 1⁄5 and t

he probability that b will win the race is 1⁄7 . what is the probability that c will win the race?
Mathematics
1 answer:
Genrish500 [490]3 years ago
6 0
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If 3,000 bacteria, with a growth constant (k) of 2.8 per hour, are present at the beginning of an experiment, in how many hours
Ivenika [448]

Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

P(t)=P_0e^{kt}

Where, P_0 is the initial value, k is the growth constant and t is the number of years.

Putting P(t)=15000,P_0=3000, k=2.8 in the above formula, we get

15000=3000e^{2.8t}

\dfrac{15000}{3000}=e^{2.8t}

5=e^{2.8t}

Taking ln on both sides, we get

\ln 5=\ln e^{2.8t}

1.609438=2.8t                  [\because \ln e^x=x]

\dfrac{1.609438}{2.8}=t

0.574799=t

t\approx 0.575

Therefore, the number of bacteria will be 15,000 after 0.575 hours.

4 0
3 years ago
Does 6(3−5w)=5(4−2w)−20w have one solution, no solution, or infinitely many solutions? <br><br> plzz
Vikki [24]

Answer:

No solutions

Step-by-step explanation:

18-30w=20-10w-20w

18-30w=20-30w

18-20=30w-30w

-2 does not equal to 0

No solutions

6 0
3 years ago
Which cost less a 1,000 dollar computer discounted onto 20% then 10% or a 1,000 dollar computer discounted to 30% if that makes
kykrilka [37]
First one costs $720, second costs $700 so the second one the<span> 1,000 dollar computer discounted to 30%</span>
6 0
3 years ago
12x+15y=-45 put into slope-intercept form, simplify all fractions.
Karo-lina-s [1.5K]

Answer:

y = -4/5 x - 3

Step-by-step explanation:

15y = -45 - 12x

5y = -15 - 4x

y = -4/5 x - 3

7 0
2 years ago
3 ft Find the outer perimeter of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate it. 4 ft 5 ft
Sedbober [7]

Answer:

perimeter = 19.42 ft

Step-by-step explanation:

perimeter of semi circle = 6π/2 = 9.42

perimeter of cone = 5 + 5 = 10

10 + 9.42 = 19.42 ft

7 0
3 years ago
Read 2 more answers
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