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Iteru [2.4K]
3 years ago
14

Does y=-4+3x^2 open upwards Or downwards

Mathematics
1 answer:
nalin [4]3 years ago
8 0

Answer:

Upwards

Step-by-step explanation:

The general form of a quadratic is  y=ax^2+bx+c

We can tell whether the curve opens upward or downward by the sign of "a"

If

  • a is positive, the curve opens upward
  • a is negative, the curve opens downward

Reaaranging the given equation:

y=-4+3x^2\\y=3x^2-4

Here, we see that a  is positive, so the curve opens Upward

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A baseball team played 154 regular season games. The ratio of the number of games they won to the number of games they lost was
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3 years ago
Suppose that pulse rates among healthy adults are normally distributed with a mean of 80 beats/second and a standard deviation o
olga_2 [115]

Answer:

0.3520

Step-by-step explanation:

We have been given that the pulse rates among healthy adults are normally distributed with a mean of 80 beats/second and a standard deviation of 8 beats/second. We are asked to find the proportion of healthy adults have pulse rates that are more than 83 beats/sec.

First of all, we will find z-score corresponding to sample score of 83 as:

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

z = Z-score,

x = Sample score,

\mu = Mean,

\sigma = Standard deviation.

Upon substituting our given values in z-score formula, we will get:

z=\frac{83-80}{8}=\frac{3}{8}=0.375\approx 0.38

Now, we need to find the probability that a z-score is greater than 0.38.

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