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Alexxandr [17]
2 years ago
13

Determine the inequality that can be used to model when the population of bacteria will be greater than or equal to 656,100. The

n solve the inequality for t.
Mathematics
1 answer:
jenyasd209 [6]2 years ago
4 0

The inequality is 100*3^{t}≤ 656100.

The correct option is (B).

<h3>What is inequality?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

From the table attached below:

a=300, r= 900/300 = 3

As, it is GP

Now,

f(t) = ar^{t-1}

f(t) = 300*3^{t-1}

f(t) = 300/3 *3^{t}

f(t) = 100*3^{t}

Inequality is used to determine greater than or equal to 656100

100*3^{t}≤ 656100

Learn more about inequality here:

brainly.com/question/20383699

#SPJ1

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What does 1/2 Equivalent to.
Natali5045456 [20]
As a decimal it is equivalent to 0.5
As a fraction it can be equivalent to 2/4, 3/6, 4/8, 5/10 and so on. Hope this helps :)
4 0
3 years ago
Roisin is a price analyst for a food distributor. One week she put together bids for 680 cases, 507 cases, 830 cases, 391 cases,
sineoko [7]

Answer: The average number of cases per bid is <u>599</u>.

Step-by-step explanation:

Given: One week she put together bids for 680 cases, 507 cases, 830 cases, 391 cases, and 587 cases.

Total cases = 680 +  507 + 830 + 391+587

= 2995

Number of bids = 5

Now, average number of cases per bid = \dfrac{\text{Total cases }}{\text{Number of bids}}

=\dfrac{2995}{5}\\\\=599

Hence, the average number of cases per bid is <u>599</u>.

6 0
3 years ago
The Brooklyn District Attorney's office analyzed the leading (leftmost) digits of check amounts in order to identify fraud. The
iragen [17]

Answer:

The expected number of checks among 784 that should have a leading digit of "1" is 236.

Step-by-step explanation:

Let <em>X</em> = number of checks that has the leading digit as "1".

The probability of a check having a leading digit as "1" is, <em>p</em> = 0.301.

The number of checks issued by a suspected company is, <em>n</em> = 784.

A check is having a leading digit "1" is independent of other checks.

A randomly selected check either has the leading digit 1 or not.

The success of the experiment is defined as, a check having the digit "1" as the leading digit.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 784 and <em>p</em> = 0.301.

The expected value of a random variable is the average number of times the random variable occurs.

The formula to compute the expected value of a Binomial distribution is:

E(X)=n\times p

Compute the expected value of <em>X</em> as follows:

E(X)=n\times p\\

         =784\times 0.301\\=235.984\\\approx236

Thus, the expected number of checks among 784 that should have a leading digit of "1" is 236.

7 0
4 years ago
The Xianren Bridge is located in Guangxi Province, China. This arch is the world’s longest natural arch, with a length of 400 fe
KengaRu [80]

Length of Xianren Bridge is 400 feet.

l represents the length of other natural arches.

Since, Xianren Bridge is the longest arch, we have,

l < 400

Let's graph this inequality.

Take the other natural arches along x-axis and the lengths along y-axis.

Clearly, the graph of l = 400 is a straight line parallel to x-axis.

So, l < 400 is the region below the line l = 400.

7 0
4 years ago
Read 2 more answers
13 divided by 2x minus 5 divided by x
MatroZZZ [7]

Answer:

Step-by-step explanation:

3/2x      simplified

combine the fractions by finding a common denominator

6 0
4 years ago
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