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djverab [1.8K]
3 years ago
14

There are 3 Parts. Make sure to answer all 3 Parts. Read the problem and write your

Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

The equation of a linear function is given as:

y = mx + b;

where y, x are variables, m is the rate of change and b is the initial value of variable y.

A) Since there is B bacteria in the Petri dish at 12:00 midnight and the number of bacteria increases after midnight by 25 every hour. Let h represent the time in hours and T represent the total number of bacteria, therefore the equation is:

T = 25h + B

B) Given that B = 5, h = 6, hence:

T = 25(6) + 5 = 150 + 5 = 155 bacteria

C) The equation of the graph is:

T = 25h + 5

The graph was plotted using geogebra online graphing.

You might be interested in
Is 0.3/0.9 rational?
mario62 [17]

Answer:

Rational

Step-by-step explanation:

Repeating decimals can be represented as a ratio of two integers.

5 0
3 years ago
Read 2 more answers
Simplify. 3 – [–(–1)] <br> A. 4 <br> B. –2 <br> C. 2 <br> D. –4
Nesterboy [21]

Answer:

2

Step-by-step explanation:

3-(+1)

3-1

2

3 0
3 years ago
The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There
KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5

We have to find the value of x such that the probability is 0.05

P(X > x)  = 0.05

P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05  

= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05  

=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83  

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0
3 years ago
F(0)=2, f(2)=4, linear equation?
Solnce55 [7]
If you separate those into points (0,2) and (2,4) then figure out the slope by using the equation y2-y1 divided by x2-x1, you'll get 4-2 over 2-0 which gives you 2/2 or 1. You found the slope so you can plug that into the slope-intercept equation y-y1=m(x-x1). For you, it'd be y-2=1(x-0), you end up with the equation y=x+2.
7 0
3 years ago
Read 2 more answers
A store discounts the price of a beanbag chair by 20%. The price of the beanbag chair is marked as $16. What was the original pr
Dahasolnce [82]
Use this to solve:

4/5 = 16/x

Since these are equivalent fractions;

you can divide 16 by 4

then multiply by 5

that should give you the original price of the bean bag chair!
3 0
3 years ago
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