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babymother [125]
3 years ago
9

Using fluorescent imaging techniques, researchers observed that the position of binding sites on HIV peptides is approximately N

ormally distributed with a mean of 2.45 microns and a standard deviation of 0.35 micron. What is the standardized score for a binding site position of 2.03 microns? (Enter your answer rounded to one decimal place.)
Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

Answer:

The values is  

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu  =  2.45

    The  standard deviation is  \sigma  = 0.35 \ mi

     The random value is  x =   2.03

The standardized score for a binding site position of 2.03 microns is mathematically represented as

       z-score  =  \frac{x -  \mu}{ \sigma }

=>      z-score  =  \frac{2.03 -  2.45}{ 0.35}

=>    z-score  =  -1.2

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Daley wrote an equivalent equation to determine how many pounds of blueberries he could buy. Analyze Daley’s work. Did he make a
AVprozaik [17]

Answer:

It is D

Step-by-step explanation:

No. He correctly solved for b. EDge 2020 ^-^

3 0
2 years ago
Read 2 more answers
A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa
Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is  α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion  

p(private) be the proportion of alumni of the private university who attended at least one class reunion  

Hypotheses are:

H_{0}: p(public) = p(private)

H_{a}: p(public) ≠ p(private)

The formula for the test statistic is given as:

z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}} where

  • p1 is the sample proportion of  public university students who attended at least one class reunion  (\frac{808}{1311}=0.616)
  • p2 is the sample proportion of private university students who attended at least one class reunion  (\frac{647}{1038}=0.623)
  • p is the pool proportion of p1 and p2 (\frac{808+647}{1311+1038}=0.619)
  • n1 is the sample size of the alumni from public university (1311)
  • n2 is the sample size of the students from private university (1038)

Then z=\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}} =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.  

6 0
3 years ago
Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 squar
miss Akunina [59]

Answer:

24 inches

Step-by-step explanation:

After folding the piece of paper, the result will be 1/4 the size of the original square. If you multiply the are of the triangle by 4, you will find that the area of the original square is 36 square inches.  The square root of 36 is 6, which shows us that the length of each side of the square is 6. To get the perimeter, multiply 6 by 4 to get 24 inches.

4 0
3 years ago
The rate at which rain accumulates in a bucket is modeled by the function r given by r(t)=10t−t^2, where r(t) is measured in mil
mars1129 [50]

Answer:

36 milliliters of rain.

Step-by-step explanation:

The rate at which rain accumluated in a bucket is given by the function:

r(t)=10t-t^2

Where r(t) is measured in milliliters per minute.

We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.

We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:

\displaystyle \int_0^3r(t)\, dt

Substitute:

=\displaystyle \int_0^3 10t-t^2\, dt

Integrate:

\displaystyle =5t^2-\frac{1}{3}t^3\Big|_0^3

Evaluate:

\displaystyle =(5(3)^2-\frac{1}{3}(3)^3)-(5(0)^2-\frac{1}{3}(0)^3)=36\text{ milliliters}

36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.

4 0
3 years ago
What is 6= -2/3m? Explain how you got your answer please. :)
boyakko [2]

m = -9!

Proof:

6=-\frac{2}{3}m\\\\[Multiply by 3 to cancel the fraction, the result is]\\\\6(3)=-2m\\18=-2m\\\\[Now divide by -2 to get your answer]\\\\m = -9

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

4 0
3 years ago
Read 2 more answers
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