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3 years ago

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Using compatible numbers, which is the best estimate of (28.5)(7.1)? 36 40 210 300

1 answer:

kifflom [539]3 years ago

7 0

Answer:

210

Step-by-step explanation:

29*7 = 203, 203 is the closest number to 210!

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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

For each equation, determine whether it represents a direct variation, an inverse variation, or neither.

SSSSS [86.1K]

we know that in direct variation as x increase y also increases.

in indirect variation x decreases y increase and vice versa.

in part a we have x at top (numerator ) and y at denominator it mean indirect variation (as x increases y decreases).

to find k we know that for indirect variation xy=k

if we rewrite the equation x=9/y we get xy=9

which mean k=9 .

in part b we have 4xy=20 if we simplify this equation we get

$xy=20/4=5$

so here if we rewrite in terms of x.

we get x=5/y which represents indirect variation.

and we know xy=k

we have xy=5 .so k=5

8 0

3 years ago

What is 1, 852 in expanded form

OverLord2011 [107]

Expanded form is just each place value split into addition.

so 1,852 is
1000 + 800 + 50 + 2

that's all

5 0

3 years ago

Read 2 more answers

Find the area of the triangle with a= 18.8, b= 11.6, c= 13.8. Round to the nearest tenth.

Anika [276]

Answer:

not rounded is 44.2, rouned to the nearest tenth is 40

Step-by-step explanation:

3 0

3 years ago

Which of the tables represents a function?

svlad2 [7]

Answer:

a

Step-by-step explanation:

8 0

3 years ago