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2 years ago

Explain the difference between a simple random sample and a systematic sample. (select all the apply.)

Mathematics

1 answer:

Jet001 [13]2 years ago

4 0

Answer:

Under simple random sampling, a sample of items is chosen randomly from a population, and each item has an equal probability of being chosen. Meanwhile, systematic sampling involves selecting items from an ordered population using a skip or sampling interval.

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Find the y-intercept and the axis of symmetry of f(x)=ax2+2ax+3.

Sonbull [250]

Answer:

$y= cx^2 +dx +e$

We see that:

$c = a, d= 2a , e= 3$

The axis of symmetry is defined by this formula:

$X= - \frac{d}{2c}$

And replacing we got:

$X= -\frac{2a}{2a}= -1$

Thn the axis of symmetry would be X=-1

Step-by-step explanation:

For this case we have the following function:

$y = ax^2 +2ax +3$

If we compare this function with the general expression of a quadratic formula given by:

$y= cx^2 +dx +e$

We see that:

$c = a, d= 2a , e= 3$

The axis of symmetry is defined by this formula:

$X= - \frac{d}{2c}$

And replacing we got:

$X= -\frac{2a}{2a}= -1$

Thn the axis of symmetry would be X=-1

7 0

3 years ago

Working together, it takes 2 computers 12 minutes to send out emails. If it takes the slower 30 minutes to the job on its own, h

artcher [175]

Answer:

The faster computer can do the job in 20 mins on it own.

Step-by-step explanation:

Given:

Time taken by slower computer to do job on its own =30 minutes.

Time taken by both the computers to do the job = 12 mins.

We need to find the Time taken by faster computer to do job on its own.

Solution:

Let the the Time taken by faster computer to do job on its own be 'x'.

Now we know that;

Rate to complete the job is equal to number of jobs divided by time taken to complete the job.

Rate of faster computer = $\frac1x$

Rate of slower computer = $\frac{1}{30}$

Rate of both the computers = $\frac{1}{12}$

Now we can say that;

Rate of both the computers is equal to sum of Rate of faster computer and Rate of slower computer.

framing in equation form we get;

$\frac{1}{12}=\frac{1}{30}+\frac{1}{x}\\\\\frac{1}{x} = \frac{1}{12}-\frac{1}{30}$

Now we will take the LCM to make the denominator common we get;

$\frac{1}{x}=\frac{5}{12\times5}-\frac{2}{30\times2}\\\\\frac1x=\frac{5}{60}-\frac{2}{60}$

Now denominator are same so we will solve the numerator.

$\frac1x=\frac{5-2}{60}\\\\\frac1x=\frac{3}{60}\\\\\frac1x=\frac{1}{20}\\\\x=20\ mins$

Hence The faster computer can do the job in 20 mins on it own.

4 0

3 years ago

Keisha swims 18 ft from one side of her circular pool to the other, swimming straight through the center. She then swims one tim

elena-s [515]

Answer:

Swimming one time around the pool is 56.5 ft

Step-by-step explanation:

Swimming 18 ft from one side of her circular pool to the other, swimming straight through the center means the circular swimming pool has a diameter of d=18 ft.

The circumference of the circle is calculated using:

$c = \pi \: d$