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maxonik [38]
3 years ago
11

A researcher is studying a mouse population in a field. For the first year of her study, she notices that the mouse population d

emonstrates exponential growth. However, by the third year of her study, the mouse population has stabilized at approximately 500 mice (although this number fluctuates a bit). Thus, 500 mice would be the _____ of the field being studied.
Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

Answer:

The 500 mice would be the carrying capacity of the field being studied.

Step-by-step explanation:

For the first year of study, the mouse population demonstrates exponential growth.

But by third year, the mouse population has stabilized at approximately 500 mice.

Thus, this 500 mice would be the carrying capacity of the field being studied.

Carrying capacity is defined as the measure to demonstrate the maximum population size that any given environment can sustain for an unspecified time period.

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The sum of 5x and 2x is a least 70
diamong [38]

Answer:

7x ≥ 70

Step-by-step explanation:

5x + 2x ≥ 70

7x ≥ 70

x ≥ 10

Hope this helps!

-sruthi123

5 0
4 years ago
At a factory, a mechanic earns $17.25 an hour. The president of the company earns 6 3/4 times as much for each hour he works. Th
Law Incorporation [45]
Find how much each earns

pres =6 and 3/4 times mec pay=17.25 times 6.75=116.4375, about $116.44
janitor is 3/4 or 0.75 of janitor=17.25 times 0.75=12.9375, about $12.94

add them

$17.25+$116.4275+$12.9375=146.615
round
$146.62
7 0
4 years ago
Read 2 more answers
Which of the following is equal to the fraction below?
Vesna [10]

In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as (\frac{a}{b})^n, the exponent n can be "distributed" as: (\frac{a}{b})^n= \frac{a^n}{b^n}.

In our case, the power, n=11; a=7 and b=4. Thus, the expression (\frac{7}{4})^{11}, can be written as \frac{7^{11}}{4^{11}}.

Thus, out of the given options, option A is the correct option.

6 0
3 years ago
Read 2 more answers
What's the square root of 30(.8)(90)??
Burka [1]
<span>square root of 30(.8)(90)
</span>√30(.8)(90)
√2700(.8)
√2160
12√15

3 0
3 years ago
It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation
Makovka662 [10]

Answer:

Test statistic = 2

P-value = 0.0227                                

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $98

Sample mean, \bar{x} = $100

Sample size, n = 100

Population standard deviation, σ = $10

First, we design the null and the alternate hypothesis

H_{0}: \mu = 98\text{ dollars}\\H_A: \mu > 98\text{ dollars}

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{100 - 98}{\frac{10}{\sqrt{100}} } = 2

Now, we can calculate the p-value from the normal table

P-value = 0.0227

 

6 0
4 years ago
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