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anastassius [24]
3 years ago
14

What is the sum of the first 10 terms of this geometric sequence? 3, –6, 12, –24, …

Mathematics
2 answers:
sukhopar [10]3 years ago
8 0

Answer:

(-1023)

Step-by-step explanation:

3+(-6)+12+(-24)+48+(-96)+192+(-384)+768+(-1536)

Andrews [41]3 years ago
8 0

Answer:

Step-by-step explanation:

a1=3

r=-6/3=-2

S_{10}=a1\frac{1-r^n}{1-r}\\ =3\frac{1-(-2)^{10}}{1-(-2)} \\=3\frac{1-1024}{3} \\=3\frac{-1023}{3} \\=-1023

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Every 6th voter gets a button. Every 7th voter gets a sticker. Which voter is the first to receive both items?
MrMuchimi

Answer:

42

Step-by-step explanation:

Use LCM of 6 and 7 to find a number that is the same:

6     12     18     24     30     36     42

7     14     21     28     35     42

Since 42 shows up in both, the 42th voter gets a button and sticker.

Hope this helped.

8 0
2 years ago
Rate my handwriting 1-10
Anon25 [30]

Answer:

8

Step-by-step explanation:

5 0
3 years ago
The Food and Drug Administration (FDA) produces a quarterly report called Total Diet Study. The FDA’s report covers more than 20
pav-90 [236]

Using the normal approximation to the binomial, it is found that:

  • The mean of X is of 52 samples.
  • The standard deviation of X is of 4.2661 samples.
  • 0.0017 = 0.17% probability that less than half without any traces of pesticide.

--------------------------------

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, with mean given by:  

E(X) = np

And standard deviation of:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution  

Z-score formula is used, which, in a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • Each z-score has an associated p-value, which measures the percentile of measure X.

--------------------------------

  • 65% of samples had no pesticide, thus p = 0.65
  • 80 samples, thus n = 80

The mean of X is of:

E(X) = np = 0.65(80) = 52

The standard deviation of X is of:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80(0.65)(0.35)} = 4.2661

Using the approximation and continuity correction, the probability is P(X < 40 - 0.5) = P(X < 39.5), which is the p-value of Z when X = 39.5. Thus:

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

Z = \frac{39.5 - 52}{4.2661}

Z = -2.93

Z = -2.93 has a p-value of 0.0017, thus:

0.0017 = 0.17% probability that less than half without any traces of pesticide.

A similar problem is given at brainly.com/question/24261244

8 0
2 years ago
John has a coin and a spinner with 4 equal sections, one colored red, one blue, one colored green, and one colored, purple. Crea
dem82 [27]

Answer:

Heads/red

Heads/green

Heads/purple

Heads/blue

Tails/red

Tails/green

Tails/purple

Tails/blue

Possible outcomes: 8

3 0
3 years ago
Help need Help plzzzz
MAXImum [283]
I don't really know sorry
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3 years ago
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