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3 years ago

1) Write the recursive rule for the sequence.

Mathematics

2 answers:

GalinKa [24]3 years ago

8 0

Answer:

Step-by-step explanation:

i) Recursive rule is

$a_{n+1} =a_n-10$

2) Explicit rule for the sequence is

this is arithmetic sequence with a = -1 and d = 15

Hence

$a_n=-1+15(n-1)\\a_n=15n-16$

3) $P(A and B) = \frac{2}{25} (\frac{5}{6} )\\=\frac{1}{15}$

4) Sample men = total/no of entries

= $\frac{409}{10} =40.9$

=41

GrogVix [38]3 years ago

6 0

Answer:

Step-by-step explanation:

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Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). Include your work in y

Taya2010 [7]

<h3>y + 9 = 10(x - 6) is the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1)</h3>

Solution:

Given points are:

(6, -9) and (7, 1)

Let us find the slope of line

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (6,-9)\\\\(x_2, y_2) = (7, 1)$

Therefore,

$m = \frac{1+9}{7-6}\\\\m = \frac{10}{1}\\\\m = 10$

Thus slope of line is 10

The point slope form of line is given as:

$y - y_1 = m(x-x_1)$

Substitute m = 10 and $(x_1, y_1)$ = (6, -9) in above

$y + 9 = 10(x - 6)$

Thus the equation of line in point slope form is found

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3 years ago

What is this I am so dumb

erastovalidia [21]

Answer:

-6 $\sqrt{13}$

Step-by-step explanation:

This is similar to collecting like terms in Algebra, that is

- 2x - 7x + 3x = x(- 2 - 7 + 3) = - 6x

Similarly

-2 $\sqrt{13}$ - 7 $\sqrt{13}$ + 3 $\sqrt{13}$

= $\sqrt{13}$ (- 2 - 7 + 3) = - 6 $\sqrt{13}$

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3 years ago

Read 2 more answers

Please answer 1 and 2

Licemer1 [7]

1.) 42m 2.)24m with the rectangle you do LWH and for the triangle LWH times 2.

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3 years ago

What is 4/7 equivalent to

VashaNatasha [74]

4/7 can be equivalent to 8/14 (Multiplied top and bottom of fraction by 2)

It can also be equivalent to 12/21. (Multiplied by 3)

16/28.

And so on.

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3 years ago

Suppose that in a large metropolitan area, 85% of all households have cable tv. Suppose you are interested in selecting a group

Viktor [21]

Solution :

Let X denotes the number of the households tha have a cable TV.

Percentage of household that have a cable TV = 85 %

$X \sim \text{Binomial}(6, 0.85)$

Here, we can see that each of the observations is independent and the number of the observations is fixed, n.

The probability of the success P is the same for each of the outcomes.

Therefore,

$P(X=4)= \binom{6}{4}0.85^40.15^2$

= 0.08324

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3 years ago