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sp2606 [1]
3 years ago
8

A scientist notes that the population of bacteria in a petri dish doubles every five hours. Which type of function should she us

e to model the change in total population over time? a. scatter b. quadratic c. exponential d. linear
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
6 0

Answer:

c

Step-by-step explanation:

Igoryamba3 years ago
4 0

Answer:

c. exponential

Step-by-step explanation:

Let A be the initial value,

New value

A[2^(t/5)]

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Write and solve an equation to find Marys. Mary is 6 years older than Ellen. Jim is 5 years older than Mary. If their total comb
Lubov Fominskaja [6]

nggkkkb ghjkkjgh

ggjbdfhhkmbssrjokncfd

4 0
3 years ago
What is the equation of a line perpendicular to the line y=(4/9)x-2 that passes through the point (4,3)?
Hoochie [10]
<span>y=(4/9)x-2
This is in slope intercept form (y=mx+b), where m is the slope. 
A perpendicular line will have the opposite reciprocal of the slope.
So if the slope here is 4/9, then the perpendicular line's slope will be -9/4.

Now that you have the slope (-9/4) and a point (4, 3), you can use the point-slope formula to find the equation.
y - y</span>₁ = m(x - x₁)
y - 3 = (-9/4)(x - 4)
y - 3 = (-9/4)x + 9
y = (-9/4)x + 12

So the answer will be:
C. <span>y= -(9/4)x+12</span>
3 0
4 years ago
Amanda is finding 11.2 divided by 14. This is what she got, 14 divided by 11.2 equals 8.0 What is her mistake and fix it. Whats
arsen [322]
Amanda forgot to move the decimal point one place to the left

11.2 / 14 = 0.8
6 0
3 years ago
Perform the following
tatyana61 [14]

Answer:

4

Step-by-step explanation:

45.2 x 0.035=1.582

"Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit."  -Khan Academy. org > significant figures

5 0
2 years ago
A well known pharmaceutical manufacturer is manufacturing a newly developed vaccine, and is concerned about variability in the i
Lana71 [14]

Answer:

a

The  null hypothesis is H_o :  \  \sigma^2 =  1.9

The alternative hypothesis is  H_a :  \  \sigma^2 \ne 1.9  

b

 X^2 =  13.74

c

The decision rule is  

Reject the null hypothesis

d

The conclusion is  

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

Step-by-step explanation:

From the question we are are told that

   The variance is \sigma ^2 =  1.9

    The sample size is  n =  30  

    The  sample variance  is  s^2 = 0.9

    The level of significance is  \alpha  =  0.05

   

The  null hypothesis is H_o :  \  \sigma^2 =  1.9

The alternative hypothesis is  H_a :  \  \sigma^2 \ne 1.9  

Generally the test statistics  is mathematically represented as

          X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }

=>       X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9  }

=>       X^2 =  13.74

Generally  from the degree of freedom is mathematically represented as

         df =  n- 1

=>      df =   30 - 1

=>      df =   29

Generally from the chi distribution table the critical value of  \frac{\alpha}{2}  \   and  \   1 - \frac{ \alpha }{2} at a degree of freedom  of  df =   29 is  

       X^2 _{ \frac{\alpha }{2} ,  df } =  X^2 _{ \frac{0.05 }{2}  , 29 }  =  45.7

=>     X^2 _{ 1 - \frac{\alpha }{2} ,  df } =  X^2 _{1 -  \frac{0.05 }{2}  , 29 }  =  16.0 5

Gnerally from the values obtained we see that

         X^2 <  X^2 _{ 1 - \frac{\alpha }{2}  ,  df } hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

6 0
3 years ago
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