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almond37 [142]
3 years ago
11

Just one bacterium dividing every 20 minutes could produce nearly 5000 billion billion bacteria in one day. That is 5,000,000,00

0,000,000,000,000 bacteria could this be correct or did the person make a mistake?
Mathematics
1 answer:
OLEGan [10]3 years ago
8 0
That is correct, however, you need to keep in mind that each bacteria created will multiply the same way the original does, so you have exponential growth
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The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systo
PIT_PIT [208]

Answer:

The  estimate is

             52.02  <  \mu  < 55.78

Step-by-step explanation:

From the question we are told that

    The sample mean is \ = x  =  53.9

     The sample size is  n =  24

      The standard deviation is  \sigma =  5.6

 

Given that the confidence level is  90% the level of significance is mathematically represented as

           \alpha  =  100 - 90

            \alpha  =  10 \%

            \alpha  =  0.10

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

           Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} } =  1.645

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

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

Generally the margin of error is mathematically represented as

          E  =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{ \sqrt{n} }

substituting values

         E  =  1.645  *  \frac{5.6 }{ \sqrt{24} }

          E  =  1.880

The  estimate of how much the drug will lower a typical patient's systolic blood pressure(using a 90% confidence level) is mathematically represented as

         \= x  -  E  <  \mu  <  \= x  +  E

substituting values

         53.9  -  1.880  <  \mu  <  53.9  +  1.880

         52.02  <  \mu  < 55.78

5 0
3 years ago
A school ends the year with 651 students. This is a 5% increase from the start of the school year.
Jet001 [13]
ANSWER:

n = 1.05n divided by 105 times 100

OR

n = (the number of students at the END of the school year) divided by 105 times 100

WORKING OUT:

1.05n = 651 students
1n = 651/105 times 100 = ANSWER
5 0
3 years ago
Read 2 more answers
Please help...................
anastassius [24]

Answer:

I would help you

Step-by-step explanation:

But I'm really lazy and I really don't like math. I'm not good at it and I think I failed it last semester. true story bro.

7 0
3 years ago
Read 2 more answers
What is the value of g(-4)? HINT: It's not A.<br><br> A. -1<br> B. 27<br> C. -5<br> D. 1
GalinKa [24]
Answer: C
I hope this helps
6 0
3 years ago
Read 2 more answers
A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?
Ilia_Sergeevich [38]

we know that

<u>Unit Rate</u> is the ratio of two measurements in which the second term is one

so

to find the unit rate divide (5/8) by (1/4)

Unit\ rate=\frac{(5/8)}{(1/4)}= \frac{5}{8}*4= \frac{2.5}{1} =2.5 \frac{ft^{2}}{hour}

therefore

<u>the answer is</u>

The unit rate is 2.5 \frac{ft^{2}}{hour}

4 0
3 years ago
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