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3 years ago

The drop down options are explicit and recursive.

Mathematics

1 answer:

Oksanka [162]3 years ago

5 0

Answer:

Recursive

Explicit

Step-by-step explanation:

An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.

The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.

Hence, we are relating the previous terms to define the nth term.

For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.

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Apply the distributive property to factor out the greatest common factor. {16g + 20h} =16g+20h=

vladimir1956 [14]

Answer:

Step-by-step explanation:

16g = 2 * 2 * 2 * 2 * g

20h = 2 * 2 * 5 * h

Greatest common factor = 2 * 2 = 4

16g + 20h = (4*4*g)+(4*5*h)

= 4(4g + 5h)

5 0

3 years ago

Assume that a procedure yields a binomial distribution with a trial repeated n times. use the binomial probability formula to fi

Mamont248 [21]

$P(5\ successes)=30C5\times(\frac{1}{5})^{5}\times(\frac{4}{5})^{25}=0.172$

8 0

3 years ago

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election. Voting records show that 61% of e

steposvetlana [31]

Answer:

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

Step-by-step explanation:

Step(i):-

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.

Sample proportion

$p = \frac{x}{n} = \frac{701}{1002} = 0.6996$

Step(ii)

The 95% confidence interval estimate of the proportion of people who say that they voted

$(p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )$

$(0.6996 - 1.96\sqrt{\frac{0.6996(1-0.6996)}{1002} } , 0.6996 + 1.96 \sqrt{\frac{0.6996(1-0.6996)}{1002} } )$

(0.6996 - 1.96 X 0.01448 , 0.6996 + 1.96 X 0.01448)

(0.6996 - 0.02838 , 0.6996 + 0.02838)

(0.67122 , 0.72798)

Final answer:-

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

7 0

3 years ago

Need help please with this question

inessss [21]

There are 5 squares of dimensions 3 x 3.
5 x (9) = 45 sq. in.

There are 4 right triangles of leg lengths of 6.
4 x (18) = 72 sq. in.

45 + 72 = 117 sq. in.

8 0

4 years ago

Write an equation that is parallel to y = 3x and passes through (-4 , -3)

Anit [1.1K]

The slopes of two parallel lines must be identical.

We have slope $m=3$ , so the slope for the parallel line be the same.

Now, to find an equation that also passes through the given point, we use slope-point form, $y-y_1=m(x-x_1)$ , where our point $(-4,-3)$ is substituted for $(x_1,y_1)$ .

$y+3=3(x+4)$

Now, we convert to slope-intercept form as such.

$y=3x+12-3\\y=3x+9$

And we are done. :) We can verify graphically that these are indeed parallel lines. See attached.

8 0

3 years ago