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Snezhnost [94]
3 years ago
11

Simplify ratio 25:100

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0
By dividing both numbers by 25, it will be 1/4
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A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6
Leto [7]
<h2>Number of bacteria after 6 days is 2313</h2>

Step-by-step explanation:

Population after n days is given by

              P_n=P_0(1+r)^n

Initial population, P₀ = 1000

Increase rate, r = 15 % = 0.15

Number of days, n = 6

Substituting

             P_n=P_0(1+r)^n\\\\P_6=1000(1+0.15)^6\\\\P_6=1000(1.15)^6\\\\P_6=1000\times 2.313\\\\P_6=2313

Number of bacteria after 6 days = 2313

7 0
3 years ago
Read 2 more answers
A researcher plans to conduct a significance test at the 0.01 significance level. She designs her study to have a power of 0.90
Rasek [7]

Answer: 0.10

Step-by-step explanation: The type 2 error is committed when the alternative hypothesis is rejected when it should have been accepted causing the researcher to accept the null hypothesis which is false.

Power is the probability of avoiding a type 2 error. That is ;

Power = 1 - P(type 2 error)

Given that power = 0.90 ; P(type 2 error) = probability of committing a type 2 error.

P(type 2 error)' = 1 - P(type 2 error) = Probability of not committing or avoiding a type 2 error

0.90 = 1 - P(type 2 error)

P(type 2 error) = 1 - 0.90

P(type 2 error) = 0.10

6 0
3 years ago
In a place 100 soldiers had enough food for 60 days .how many soldiers leave the place so that food long last for 80 days
Tresset [83]

Answer:

48 soldiers leave the place.

Step-by-step explanation:

  • 100/60=80/x
  • 100x=4800
  • x=4800/100
  • x=48

hope it helps.

<h2>stay safe healthy and happy.</h2>
3 0
3 years ago
Find the length of the unknown side. Round your answer to the nearest tenth. (4 points) Image of a right triangle with a leg lab
Anika [276]

using pythagorean theorem

a^2 + b^2 =c^2

a^2 +8^2 =14^2

a^2 +64 = 196

subtract 64 from each side

a^2 = 132

take the square root of each side

a^2 = sqrt (132)

a=11.48912529

a =11.5

5 0
3 years ago
How many many weeks are in 105 days?​
In-s [12.5K]

Answer: 15 weeks

Step-by-step explanation:

Because there are 7 days in a week, simply divide 105/7 to get 15 weeks.

Hope it helps <3

5 0
3 years ago
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