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3 years ago

8x - 3(5 + 9x what's the simplified algebraic expression p

Mathematics

1 answer:

Mashcka [7]3 years ago

4 0

=8x + (-3) (5) + (-3) (9x)

=8x + -15 + -27x

(8x + -27x) + (-15)

19x +-15

19x -15

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A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with

Ratling [72]

Answer:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(10.5,0.3)$

Where $\mu=10.5$ and $\sigma=0.3$

We are interested on this probability

$P(X>10.983)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

8 0

3 years ago

A nutritionist wants to know how the taste of artificial sweeteners impacts food choices of diabetic patients. From which group

kvasek [131]

The nutritionist should collect data from all diabetic patients to obtain accurate results.

<h3>What is the ideal population for this study?</h3>

This study aims at analyzing the food choices of diabetic patients. Because of this, the population studied should be diabetic patients including different types such as gestational, type I and II.

Moreover, because this affects to all diabetic patients, they all should be included even if they do not usually eat foods with arficial sweeteners.

Based on this, the best population is all diabetic patients.

Learn more about diabetic in: brainly.com/question/14823945

#SPJ1

6 0

2 years ago

Read 2 more answers

17 __ a solution od d - 6 = 23<br><br> is it or is it not

anygoal [31]

Answer:

29 is the answer.

:-)

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