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Elden [556K]
3 years ago
15

Find the 9th term of the geometric sequence 6, -24, 96,

Mathematics
1 answer:
beks73 [17]3 years ago
5 0

Step-by-step explanation:

the process is show in the above picture.

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Please help me out please
Oxana [17]

In any trapezoid, the area is given by

A = \dfrac{(B+b)h}{2}

where B and b are the two bases, and h is the height. You're given all these elements already, so you only need to plug the values in:

A = \dfrac{(3+11)\cdot 8}{2} = \dfrac{14\cdot 8}{2} = 7\cdot 8 = 56

7 0
3 years ago
Micah walks on a treadmill at 4 miles per hour. He has walked 2 miles
lana66690 [7]
<span>Let time taken by Luke to cover the distance = x hours Speed of Luke = 6 miles per hour Therefore, Distance covered by Luke = 6x ------(1) Speed of Micah = 4 miles per hour Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started. Therefore time taken by Micah to cover the distance = x+1/2 Distance covered by Micah = 4(x + 1/2) -------(2) Equating (1) and (2) 6x = 4(x+1/2) 6x = 4x +2 2x = 2 x= 1 Therefore Luke would take 1 hour to cover the distance covered by Micah.</span>
6 0
3 years ago
Michael is watching a movie that is 2 1/3 hours long. if he has already watched 1 2/9 of the movie, how much of the movie is lef
antoniya [11.8K]

Answer:

i think it's 7.7

Step-by-step explanation:

i subtracted it

then the answer showen is 7.7 i think

4 0
3 years ago
In 2006, 95% of new cars in the US came with a spare tire. In 2017, 72% came with a spare tire.
MArishka [77]

Using the Central Limit Theorem, it is found that:

  • The mean is 0.23.
  • The standard deviation is s = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}.

<h3>Central Limit Theorem</h3>
  • It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}
  • When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:

p_1 = 0.95, s_1 = \sqrt{\frac{0.95(0.05)}{250}}

In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:

p_2 = 0.72, s_2 = \sqrt{\frac{0.72(0.28)}{250}}

Hence, for the distribution of differences:

p = p_1 - p_2 = 0.95 - 0.72 = 0.23

s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}

To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444

7 0
2 years ago
What would be the value of expressing something like the national debt in scientific notation? What information would be lost in
Vikki [24]
<span>As of January 8, 2015, the U.S. is $18.1 trillion in debt. (Source: National Priorities Project)

1 Trillion 

= 1 Thousand Billion

= 1,000,000,000,000

= 10</span>¹²
<span>
---------------------------

U.S National debt currently stands at:

$ 18.1 x 10</span><span>¹²
</span><span>
*What information would be lost? Well firstly the 0's. The 0's put the size of the number into perspective. The word "trillion" would also be taken out of the picture, once again altering the perspective of the number.

Personally I'd prefer to hear "18.1 Trillion Dollars". Sounds more interesting.

</span>
8 0
3 years ago
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