What an equation that has the given solutions -4,3

Mathematics

2 answers:

iris [78.8K]3 years ago

8 0

We have the form (x - a)(x - b).

Here, a = -4 and b = 3.

(x- (-4))(x - 3)

(x + 4)(x - 3)

Apply FOIL method.

x^2 - 3x + 4x - 12

x^2 + x - 12 = 0

Stella [2.4K]3 years ago

6 0

Answer:

(x+4)(x-3)

Step-by-step explanation:

x^2+x-12

This equation has the given solutions of -4,3

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Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z =

irina1246 [14]

Answer:

Sally's temperature is 97.27 °F.

Step-by-step explanation:

All the information given in the question tells us that the human body temperatures are normally distributed with a population's mean = 98.20°F and a standard deviation = 0.62°F.

The question gives us Sally's temperature in a z-score. We have to remember that the standard normal distribution is a particular case of a normal distribution where the mean = 0 and the standard deviation = 1.

Using the standard normal distribution, we can determine every probability associated with a normal distribution "transforming" the raw scores, coming from normally distributed data, into z-scores.

A z-score gives us the distance from the population's mean and is in standard deviation units. So, a z = 1.5 tells us that the value is 1.5 standard deviations above the mean. Conversely, a z = -1.5 tells us that the raw score is also 1.5 standard deviation from the mean, but in the opposite direction, that is, below the mean.

The formula for a z-score is as follows:

$\\ z = \frac{x - \mu}{\sigma}$ (1)