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2 years ago

QUESTION IN PIC- 20 POINTS

Mathematics

1 answer:

sladkih [1.3K]2 years ago

7 0

Answer:

18 terms

Step-by-step explanation:

The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...

an = 2 +5(n -1) = 5n -3

We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...

an = 4n +15

We can find n that makes this true by setting the 'an' values equal:

an = an

5n -3 = 4n +15

n = 18 . . . . . . . . . . add 3-4n

The number of terms in each sequence is 18.

_____

Additional comment

The last term in each sequence is 87.

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Step-by-step explanation:

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Answer:

1) $n = 84$

2) $n = 78$

3) $n = 24$

4) $n = 16$

5) $n = 35$

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

$\frac{5}{12} = \frac{35}{n}$

$5n = 35*12$

Simplifying both sides by 5

$n = 7*12 = 84$

Question 2:

$\frac{n}{52} = \frac{180}{120}$

$120n = 52*180$

Simplifying both sides by 20

$6n = 52*9$

Simplifying by 3

$2n = 52*3$

Simplifying by 2

$n = 26*3 = 78$

Question 3:

$\frac{18}{n} = \frac{21}{28}$

$21n = 18*28$

Simplifying both sides by 7

$3n = 18*4$

Simplifying both sides by 3

$n = 6*4 = 24$

Question 4:

$\frac{n}{4} = \frac{24}{6}$

$\frac{n}{4} = 4$

$n = 16$

Question 5:

$\frac{10}{16} = \frac{n}{56}$

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Simplifying by 2, both sides

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Simplifying by 8, both sides

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Step-by-step explanation:

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The computer regression output includes the R-squared values, and adjusted R-squared values as well as other important values

a) The equation of the least-squares regression line is $\underline {\hat y = 235 \cdot x + 10835}$

b) The correlation coefficient for the sample is approximately 0.351

c) The slope gives the increase in the attendance per increase in wins

Reasons:

a) From the computer regression output, we have;

The y-intercept and the slope are given in the Coef column

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The equation of the least-squares regression line is therefore

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b) The square of the correlation coefficient, is given in the table as R-sq = 12.29% = 0.1229

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The correlation coefficient for the sample, r ≈ 0.351

c) The slope of the least squares regression line indicates that as the number of attending increases by 235 for each increase in wins

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brainly.com/question/2456202

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