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Thepotemich [5.8K]
3 years ago
13

Help me please Find all real zeros of the polynomial p(x)=2x^3+3x^2-8x-12

Mathematics
1 answer:
klio [65]3 years ago
7 0

Answer is C B usatestprep

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Kevin is observing the population of the fish he put into a pond. He built a pond and populated it with 500 fish. The population
LuckyWell [14K]
Given that the number of years should be represented with x, the number of fish in the pond after x years should best be represented with f(x). The equation that would best show the given scenario in the problem above is,
                             f(x) = 500(2^x)
From the given, 500 is used as the initial population of the fish. 
4 0
3 years ago
Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?
tensa zangetsu [6.8K]
<span>2.5 – 1.2x < 6.5 – 3.2x

-1.2x + 3.2x < 6.5 - 2.5

3.2x - 1.2x < 4

2x < 4

x < 4/2

x < 2</span>
3 0
3 years ago
Read 2 more answers
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,0.08)  

Where \mu and \sigma=0.08

Since the distribution for X is normal then the  we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error is given by:

SE= \frac{0.08}{\sqrt{24}}= 0.0163

8 0
3 years ago
The kinetic energy (in joules) of a moving object can be calculated from the expression 1/2mv^2, where m is the mass of the obje
algol13

Answer: 116\text{ joules}


Step-by-step explanation:

Given: Mass of baseball=0.145 kg

Speed of baseball=40 meters per second

Also it is given that The kinetic energy (in joules) of a moving object can be calculated from the expression \frac{1}{2}mv^2 , where 'm' is the mass of the object in kilograms and 'v' is its speed in meters per second.

Thus, the kinetic energy of baseball=\frac{1}{2}(0.145)(40)^2

\frac{1}{2}(0.145)(1600)=116\text{ joules}

3 0
3 years ago
Read 2 more answers
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
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