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gladu [14]
3 years ago
7

Consider the sequence below

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0

Answer: option D is the correct answer

Step-by-step explanation:

In the given sequence, the consecutive terms differ by a common difference.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 351

d = - 343 - - 351 = - 343 + 351

d = 8

Therefore, the explicit function which defines the sequence is

f(n) = - 351 + 8(n - 1)

f(n) = 8n - 8 - 351

f(n) = 8n - 359

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The number of incoming students at two campuses of a midwestern university have historically been normally distributed. The main
tigry1 [53]

Answer:

Due to the higher z-score, the regional campus had the more successful year in student recruitment.

Step-by-step explanation:

Z-score:

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}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The main campus incoming class has a mean of 3,507 and a standard deviation of 375. There were 3,838 incoming students on the main campus.

We have to find Z, considering X = 3838, \mu = 3507, \sigma = 375

So

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

Z = \frac{3838 - 3508}{375}

Z = 0.88

Regional campus incoming class has a mean of 740 and a standard deviation of 114. 848 students on the regional campus.

We have to find Z when X = 848, \mu = 740, \sigma = 114.

So

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

Z = \frac{848 - 740}{114}

Z = 0.95

Which had the more successful year in student recruitment based on z scores?

Due to the higher z-score, the regional campus had the more successful year in student recruitment.

3 0
3 years ago
What is the absolute deviation of the data set 4, 4, 6, 6, 7, 8, 8, 8, 9, 10
hjlf

Answer:

Mean absolute deviation = 1.6.

Step-by-step explanation:

The  mean  =  (4+4+ 6+ 6+ 7+ 8+ 8 + 8 +9+ 10) / 10

= 7.

List the differences from the mean:

4 - 7 = -3

-3

-1

-1

0

1

1

1

2

3

Sum of the absolute value of the difference

=  3 + 3 + 1 + 1 + 0 + 1 + 1 + 1 + 2 + 3

= 16.

So the Mean Absolute deviation = 16 / 10 = 1.6.

4 0
3 years ago
Which table represents the graph of a logarithmic function in the form y-log, when : > 1?
muminat
Looked it up & the answer is -1.9
5 0
3 years ago
Binomial Coefficients (30pts) 1. Write (a + b)^2 as a polynomial in standard form. Show work (FOIL/distributive property).
Darina [25.2K]

Answer:

a^2 + 2ab + b^2

Step-by-step explanation:

Given

(a + b)^2

Required

Express as a standard polynomial

We have:

(a + b)^2

Rewrite as:

(a + b)(a + b)

Open bracket

a^2 + ab + ab + b^2

Add like terms

a^2 + 2ab + b^2

4 0
3 years ago
N= A-b <br> solve for A <br> hurry plzzzzz
Scrat [10]

Answer:

A=B+n

Step-by-step explanation:

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4 0
2 years ago
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