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Oksanka [162]
2 years ago
15

for every 500 minutes, the number of bacteria in a petri dish decreases by 20. Which rational number shows the average change in

bacteria?
Mathematics
2 answers:
uysha [10]2 years ago
8 0
I think it would be 4-60
Yuki888 [10]2 years ago
6 0

Answer:

- 1/25 per minute

Step-by-step explanation:

You might be interested in
I am the largest number that rounds to 241.699 when rounded to the nearest thousandth. What number am I? Please explain how you
jolli1 [7]
240 hope that works sry I don't really know I need points
5 0
2 years ago
The bar graph shows how each month's rainfall compares to the historical average.
mina [271]

Answer:

a. The difference in rainfall is 4.03in

b. The total amount of rainfall for the year is negative, -1.73

Step-by-step explanation:

a. Wettest month 2.36in and dryest month -1.67in

2.36

-1.67

-------

4.03

b. -0.45   +   -0.88   +   0.94   +   -1.67   +   -0.96   +   0.83   +   2.36   +   1.39   +   0.35   +   -1.35   +   -0.9   +   -1.39 = -1.73

3 0
2 years ago
Will mark brainiest!!<br> Only answer questions a and b
k0ka [10]

Answer:

f1 ( x ) valid pdf . f2 ( x ) is invalid pdf

k = 1 / 18 , i ) 0.6133 , ii ) 0.84792

Step-by-step explanation:

Solution:-

A) The two pdfs ( f1 ( x ) and f2 ( x ) ) are given as follows:

                     

- To check the legitimacy of a continuous probability density function the area under the curve over the domain must be equal to 1. In other words the following:

                   

- We will perform integration of each given pdf as follows:

                   

                   

Answer: f1 ( x ) is a valid pdf; however, f2 ( x ) is not a valid pdf.

B)

- A random variable ( X ) denotes the resistance of a randomly chosen resistor, and the pdf is given as follows:

                       if  8 ≤ x ≤ 10

                               0  otherwise.

- To determine the value of ( k ) we will impose the condition of validity of a probability function as follows:

                     

- Evaluate the integral as follows:

                     ... Answer

- To determine the CDF of the given probability distribution we will integrate the pdf from the initial point ( 8 ) to a respective value ( x ) as follows:

                     

To determine the probability p ( 8.6 ≤ x ≤ 9.8 ) we will utilize the cdf as follows:

                   p ( 8.6 ≤ x ≤ 9.8 ) = F ( 9.8 ) - F ( 8.6 )

                   p ( 8.6 ≤ x ≤ 9.8 ) =

ii) To determine the conditional probability we will utilize the basic formula as follows:

               p ( x ≤ 9.8  | x ≥ 8.6 ) = p ( 8.6 ≤ x ≤ 9.8 ) / p ( x ≥ 8.6 )

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - p ( x ≤ 8.6 ) ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 1 - 0.27666 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.61333 / [ 0.72333 ]

               p ( x ≤ 9.8  | x ≥ 8.6 ) = 0.84792 ... answer

Hope it helps! ;)

4 0
2 years ago
What is the value of f(-4) in the piecewise function f(x)= -x-5 for -5&lt;= x &lt;= -2; -x^2+1 for -2&lt;=x&lt;=2; (x-3)^2+2 for
Alik [6]


We first need to pick the correct piece to use. In this case, we will use f(x) = -x-5 because -5<=-4.

Then, we use direct substitution:
f(-4) = -(-4) - 5
f(-4) = -1

5 0
2 years ago
Read 2 more answers
Please hurry I need to pass this class
Dvinal [7]

Answer:

\displaystyle m=\frac{-3}{4}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Reading a Cartesian plane
  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point A(0, 8)

Point B(4, 5)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                            \displaystyle m=\frac{5-8}{4-0}
  2. [Fraction] Subtract:                                                                                         \displaystyle m=\frac{-3}{4}
4 0
2 years ago
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