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3 years ago

Help please :)

Mathematics

1 answer:

Bas_tet [7]3 years ago

5 0

Answer:

Lindsey jogged 3/4 of a mile in 1/6 hour how far did she jog in 1 hour?

3 over 4 divided by 1 over 6 is equal to 3 over 4 times 6 over 1 4 and half when simplified

She ran 4.5 miles in 1 hour.

Step-by-step explanation:lol

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It is estimated that t-weeks into a semester, the average amount of sleep a college math student gets per day S(t) decreases at

goldenfox [79]

Answer:

s(15)= $\frac{-3}{2} e^{15^{2} } +9.6$

Step-by-step explanation:

Before to getting started ,we have to consider the function which represents sleep decline rate S'(t) = $-3te^{t^{2} } \\$

Since this function is interpreted in this case as a rate of change, we can deduce this funcion is the first derivative of the function of average amount of sleep (S(t)).

In order to find S(t), we will integrate S'(t)

$\int\limits^ {} -3t3e^{t^{2} } \, dx \\$

This case corresponds to intergration by substitution

Substituting u= $x^{2} \\$

Computting the differential of u

$\frac{du}{dt} =2tdt\\$

Now, let's go back to our integral and write it in terms of u, using both definition of u and its defferential.

$\int\limits^{}-3te^{u} \, \frac{1}{2t}du \\\\\int\limits^{}\frac{-3}{2} e^{u}du\\$

The integral of a exponential function is itself. So the result is:

$\frac{-3}{2} e^{u} +c$

Now substitute u back in:

$\frac{-3}{2} e^{t^{2} } +c$

This answer correspond to function of average amount of sleep.

We know that when the semester begins (t=0) , math students sleep an average of 8.1 hours per day so we will use this info in order to find the value of c.

$s(0)=\frac{-3}{2} e^{0^{2} } +c=8.1\\\\\frac{-3}{2} +c=8.1$

Solve this equation

c=8.1+ $\frac{3}{2}$

c=9.6

Replacing the value of c on S(t)

S(t)= $\frac{-3}{2} e^{t^{2} } +9.6$

Now, let's to find the average of amount of sleep when 15 weeks has elapsed since the start date of the semester.

s(15)= $\frac{-3}{2} e^{15^{2} } +9.6$

4 0

3 years ago

the video states that 56% of high school students report using sunscreen in 2011, while 68% reported using sunscreen in 2001, le

iVinArrow [24]

Answer:

For any conclusion to be made on the population based on a sample survey, the sample must be representative of the population. Sample represents the population if the following condition is fulfilled:-

The sample is a Simple Random Sample (SRS). A SRS is chosen in such a way that all possible samples of size n are equally likely. This implies that the sample is not biased.

Getting the representative sample is the challenge. The flaws / conditions ignored by the researchers in this case can be:-

Are only male students surveyed? In that case, the female population is ignored.

Are the students surveyed are from a particular region only? Say students surveyed are from "Alaska" where it is cold in most part of the year and people tend to use less sunscreen.

Are students surveyed are from a particular age group only? Say student surveyed are only from Grade 6. Then the sample does not represent students from other grades.

There are chances that the survey was done at the convenience of the surveyor who approached only those students who were approachable - those playing outside the school. This is called convenience sampling. Though the individuals contacted are easy to contact, they may not be representative of the population.

Step-by-step explanation:

3 0

3 years ago

Fifty students were polled on their favorite after-school activity. The results are in the table. What is the probability that a

Kay [80]

Answer:

4/13

Step-by-step explanation:

4 0

3 years ago

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