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seropon [69]
3 years ago
9

The graphs below have the same shape. What is the equation of the red graph?

Mathematics
1 answer:
cluponka [151]3 years ago
4 0

We claim that the answer is y=-x^2. Since the two graphs both open down, and all the answer choices, in addition to the equation of the blue graph, are quadratic polynomials, the leading coefficient must be negative. This immediately rules out answer choices A, B, and C, leaving D as the answer.

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For the first one:

m is the slope, or how much the line goes up compared to goes right.  In this case, the line goes up 40 every time it goes right 10.  We write this as a fraction so 40/10, which simplifies to 4.  Therefore the equation would be y = 4x.

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College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall
Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

z=\frac{x-\mu}{\sigma}

z = z-score,

x = Random sample score,

\mu = Mean,

\sigma = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

35\text{ min}=0.58\text{ Hour}

z=\frac{9.6-8.6}{0.58}

z=\frac{1}{0.58}

z=1.72

Now, we need to find P(z>1.72).

Using formula P(z>a)=1-P(z, we will get:

P(z>1.72)=1-P(z

Using normal distribution table, we will get:

P(z>1.72)=1-0.95728

P(z>1.72)=0.04272

0.04272\times 100\%=4.272\%

Therefore, 4.27% of college students sleep for more than 9.6 hours.

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Answer:

5:7.

...................................

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