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iogann1982 [59]
2 years ago
11

What is an explicit formula for an arithmetic sequence with a common difference of -2 and whose first term is one?

Mathematics
1 answer:
joja [24]2 years ago
3 0

Answer:

a_{n} = - 2n +3

Step-by-step explanation:

the explicit formula for an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d = - 2 , then

a_{n} = 1 - 2(n - 1) = 1 - 2n + 2 = - 2n + 3

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The median thickness of the entire glacier is calculated with the arranging the given dimensions of the thickness from least to highest. 
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3 years ago
SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin
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34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

Standard deviation (σ) = 90

<u>Empirical rule to determine the percent:</u>

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$Z(X)=\frac{x-\mu}{\sigma}

$Z(433)=\frac{433-\ 433}{90}=0

$Z(523)=\frac{523-\ 433}{90}=1

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

i. e. ((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%

Here μ to μ + σ = \frac{68\%}{2} =34\%

Hence 34% of the scores lie between 433 and 523.

8 0
3 years ago
Help me out here guys
kvasek [131]
D.

f(x) can be written as (x+2)(x-2)(x-1)
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similarly, k(x) can be written as
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Answer:

sometimes, if their average angle is over 45 degrees

never are 2 obtuse angles summing to 180 degrees

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2 years ago
A water tank is 3/4 full.
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x/.75=x-56/0.4

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Hope this helps!

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3 years ago
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