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nata0808 [166]
2 years ago
10

If the nth term of a number sequence is n’ – 3, find the first 3 terms and the 10th term.

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
5 0

Answer:

First 3 terms: -2, -1, 0

10th term: 7

Step-by-step explanation:

n = 1,

  • n - 3 = 1 - 3 = -2

n = 2,

  • n - 3 = 2 - 3 = -1

n = 3,

  • n - 3 = 3 - 3 = 0

n = 10,

  • n - 3 = 10 - 3 = 7
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A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m
arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, <em>p</em> = 0.13.

The sample of employed individuals selected is of size, <em>n</em> = 225.

An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

  • np ≥ 10
  • n (1 - p) ≥ 10

Check the conditions as follows:

np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10

The distribution of the proportion of individuals who hold multiple jobs is,

p\sim N(p, \frac{p(1-p)}{n})

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0
3 years ago
Two students in the same Spanish class, Perry and Dakota, plan to get together after school
shtirl [24]

Answer:

Dakota=20 perry=25 together= 45

Step-by-step explanation:

First step, remember to keep 5

second step, if they are find keep multiplying until they both meet the same number which is 20, but they both have 20. But Perry will have 25 since he started a day before

3 0
3 years ago
−<br> 3<br> (<br> 7<br> −<br> 2<br> x<br> )<br> =<br> −<br> 1<br> −<br> 4<br> x
Bogdan [553]

Answer:

5208

Step-by-step explanation:

3 0
2 years ago
What is 2160 minus 1600 long way
lilavasa [31]
Hey there, Lets solve this problem together. 

The First step is to line up the numbers. 

=  2160&#10;&#10;- 1600 

\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left} 

<span>We calculate </span>0-0<span>the result of which is </span>0<span> 
</span>
<span>We calculate </span>6-0<span> the result of which is </span>6<span>.
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.

We calculate 10+1-6, and the result is 5. 

<span>We calculate </span>2-1-1<span> the result of which is</span>0<span>. 
</span>
Therefore, 

2160 - 1600 = 0560 
8 0
2 years ago
Why does the term angle need to be defined prior to defining perpendicular lines?
igor_vitrenko [27]

Perpendicular lines<span> are two or more lines that intersect at a 90-degree angle, like the two lines drawn on this graph, and the x and y axes that orient them.</span>

<span> </span>

8 0
2 years ago
Read 2 more answers
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