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Cerrena [4.2K]
3 years ago
15

Write an explicit formula for sequence The Given Sequence is.. 3,-6,12,-24..

Mathematics
1 answer:
yarga [219]3 years ago
3 0
3.(-2)=-6
(-6).(-2)=12
12.(-2)=-24
.
.
.
q=-2
---------------
a(n)=a(1).q^(n-1)
a(n)=3.(-2)^(n-1)
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Using laws of exponents, explain how to simplify (x-2)3.
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Answer:

The answer would be 3x-6

Step-by-step explanation:

3 times x equals 3x. 3 times -2 equals -6. So it would be 3x-6

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20. A certain conditional statement is true. Which of
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C

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A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with
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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
The teacher separated her class of twenty-eight students into two groups. One group has 4 more than twice as many students as th
wariber [46]
4+2x = x (x = student in smaller group)

4 + 2x + x = 28 (total # of students)
4+ 3x = 28
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x = 8
8 students in the smaller group 
4 + 2(8) = 20 students in the larger group
8 0
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What's 1.5kg into ounces
PilotLPTM [1.2K]
If one kilogram is equal to 35.274 then just multiply 1.5 by 35.274.

1.5 * 35.274 = <span>52.911</span>
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