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Nitella [24]
3 years ago
5

How to graph equations like y=-x -12

Mathematics
1 answer:
maria [59]3 years ago
7 0
To graph equations like y = -x -12
Since this is in slope intercept form we are automatically given the y-intercept which in this case is -12 so (0,-12)
the coefficient in front of the x is the slope, in this case it is -x so that means -1/1 or -1
To graph this you would plot a point at the y-intercept, then down one over one (negative slope means down instead of up) then to the right, however long to create a line

Hope this helps :)<span />
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You are a researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 30 bacteria reveals a sampl
Diano4ka-milaya [45]

Answer:

458

Step-by-step explanation:

Margin of error = critical value × standard error

At 99% confidence, the critical value is z = 2.576.

The standard error is σ/√n = 5.4/√n.

Given the desired margin of error is 0.65:

0.65 = 2.576 × 5.4/√n

n = 458

5 0
3 years ago
39 points!!! answer all questions
Lina20 [59]

Step-by-step explanation:

<h3>a. </h3>

=  {2}^{x}

=  {2}^{3}

= 2 \times 2 \times 2

= 8

<h2>______________</h2>

<h3>B. </h3>

=  {x}^{2}

=  {3}^{2}

= 3 \times 3

= 9

<h2>______________</h2>

<h3>C. </h3>

=  {1}^{x}

=  {1}^{3}

= 1 \times 1 \times 1

= 1

<h2>______________</h2>

<h3>D. </h3>

=  {x}^{1}

=  {3}^{1}

= 3

<h2>______________</h2>

<h3>E. </h3>

= {( \frac{1}{2}) }^{x}

= {( \frac{1}{2}) }^{3}

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8 0
3 years ago
What percentage of the population has a heart rate between 68 and 77
velikii [3]

Answer:

49.87% of the population has a heart rate between 68 and 77.

Step-by-step explanation:

We are given that the mean of the data for the resting heart of adults is 68 beats per minute and the standard deviation is 3 beats per minute.

Let X = <u><em>the data for the resting heart of adults</em></u>

The z-score probability distribution for the normal distribution is given by;

                          Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 68 beats per minute

           \sigma = standard deviation = 3 beats per minute

Now, the percentage of the population that has a heart rate between 68 and 77 is given by = P(68 < X < 77)

    P(68 < X < 77) = P(X < 77) - P(X \leq 68)

    P(X < 77) = P( \frac{X-\mu}{\sigma} < \frac{77-68}{3} ) = P(Z < 3) = 0.9987

    P(X \leq 68) = P( \frac{X-\mu}{\sigma} \leq \frac{68-68}{3} ) = P(Z \leq 0) = 0.50

The above probability is calculated by looking at the value of x = 3 and x = 0 in the z table which has an area of 0.9987 and 0.50 respectively.

Therefore, P(68 < X < 77) = 0.9987 - 0.50 = 0.4987 or 49.87%

8 0
4 years ago
Which graph represents a function?
professor190 [17]

Answer:

1st and last one

Step-by-step explanation:

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3 years ago
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olya-2409 [2.1K]

Answer: U and V are complimentary angles.

Step-by-step explanation: K

7 0
3 years ago
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