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Oliga [24]
3 years ago
6

A bacteria culture starts with 100 bacteria and doubles in size every half hour. (a) how many bacteria are there after 4 hours?

Mathematics
1 answer:
Savatey [412]3 years ago
5 0
19200 all you have to do to figure this out is multiply 100 times 8 since the is 8 halfs in 4 hours.
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The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w
Sati [7]

Answer:

The sample size is  n  = 600

Step-by-step explanation:

From the question we are told that

    The  sample proportion is  \r  p = 0.48

     The  margin of error is  MOE  =  0.04

Given that the confidence level is 95%  the level of significance is mathematically represented as

        \alpha  =  100 - 95

        \alpha  =  5 \%

        \alpha  =  0.05

Next  we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the values is

                   Z_{\frac{\alpha }{2}  } =  1.96

The reason we are obtaining critical value of    \frac{\alpha }{2} instead of    \alpha is because  

\alpha represents the area under the normal curve where the confidence level interval (  1-\alpha) did not cover which include both the left and right tail while  

\frac{\alpha }{2} is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

      MOE  =  Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{\r p(1-  \r p )}{n} }

substituting values

          0.04= 1.96*  \sqrt{ \frac{0.48(1-  0.48 )}{n} }

         0.02041 = \sqrt{ \frac{0.48(52 )}{n} }

         0.02041 = \sqrt{ \frac{ 0.2496}{n} }

          0.02041^2  = \frac{ 0.2496}{n}

           0.0004166 = \frac{ 0.2496}{n}

=>       n  = 600

   

5 0
3 years ago
The solution of the system is (400, 3,200). How would you interpret this solution?
alekssr [168]
The solution (400, 3, 200) is the answer to a system of equations which has three variables. Respectively, this system is expected to have three equations because it has three unknowns. So for example if your unknowns are x, y and z, then the answers will be x=400, y=3, and z=200. 
3 0
3 years ago
Read 2 more answers
Which is equivalent to 3.25%?
Ratling [72]

Answer:

The first choice.

Step-by-step explanation:

hope this helps!

6 0
3 years ago
Read 2 more answers
Please help me this is from khan academy :(((
Dmitrij [34]

Answer:

y=1.4x+6.8

Step-by-step explanation:

(-2;4) (-7;-3)

4=-2k+b

-3=-7k+b

7=5k

k=1.4

-2.8+b=4

b=6.8

I already know k and b so I can write an equation.

y=1.4x+6.8

6 0
3 years ago
If 3 3/4 lb. of candy cost $20.25 how much world 1 lb. of candy cost?
Maru [420]

$ 20.25 divided by 3 3/4 lbs

change 3 3/4 to a decimal  = 3.75

$20.25 / 3.75 lbs

$5.40 per pound

so 1 pound of candy costs $5.40

Answer: $5.40

3 0
3 years ago
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