Please help with 1c, 2, and 3. i would appreciate if you explained what you did step by step :)

Mathematics

1 answer:

Nikitich [7]3 years ago

8 0

1c . 1.55 or 1 11/20

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A/b=c for b<br> Wht is b

Naddik [55]

The answer would be b=a/c

4 0

3 years ago

Given f(x) = e^x and g(x) = x – 2, what is the range of (g*f)(x)

frutty [35]

For this case we have the following functions:

$f (x) = e ^ x\\g (x) = x-2$

By definition we have to:

$(f * g) (x) = f (x) * g (x)$

Substituting:

$(f * g) (x) = e ^ x (x-2)$

The range of the function is given by all values of "and" valid. That is, all the real numbers.

ANswer:

(-∞,∞)

Graphic attached

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3 years ago

The distribution of head circumference for full term newborn female infants is approximately normal with a mean of 33.8 cm and a

enyata [817]

Using the normal distribution, it is found that 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 33.8, \sigma = 1.2$

The proportion of full term newborn female infants with a head circumference between 31 cm and 36 cm is the <u>p-value of Z when X = 36 subtracted by the p-value of Z when X = 31</u>, hence:

X = 36:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{36 - 33.8}{1.2}$