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Tju [1.3M]
2 years ago
7

Q. a) Work out an expression to find the nth term of the sequence 5,8,11,....... b) find the 90th term of the sequence. *

Mathematics
1 answer:
Lyrx [107]2 years ago
4 0

Answer:

The nth term is 3n+2.

The given sequence is in A.P.

Here,

First term,a= 5

Common difference,d= 3

Therefore the nth term = a+(n-1)d =5+(n-1)3

=5+3n-3 =3n+2.

Step-by-step explanation:

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When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey t
Vlada [557]

Answer: 601

Step-by-step explanation:

The formula to find the minimum sample size(n) , if the prior population proportion is unknown:

n=0.25(\dfrac{z^c}{E})^2, where E = margin of error , z^c = critical z-value for confidence level c.

Given : E  = 0.04

Z-value for 95% confidence = 1.96

So, the minimum sample size required = 0.25(\dfrac{1.96}{0.04})^2=0.25(49)^2

= 0.25\times 2401=600.25\approx601

Hence, the minimum sample size required = 601

6 0
2 years ago
Can someone solve this
marysya [2.9K]

From the Arithmetic Information given, Pr = 0.049375 ≠ -8.050625 ≠ 0.0325  See explanation below.

<h3>

What are the step by steps solution to the questions above?</h3>

First, lets us restate the question properly. We have

Pr = 1 - ((6*12+6)/80)² = 1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) = 1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²

Note that there are three equals signs. So lets divide the problem according and solve for the different parts.

Lets   1 - ((6*12+6)/80)²  ............A

1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) .............B; and

1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6² ........C

Solving for A we have

1 - (78/80)²

= 1 - (0.975)²

= 1 - 0.950625

A = 0.049375


Solving for B we have

1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400)

= 1- (14,256/1600) - (216/1600) - (36/6400)
= 1 - 8.91 - 0.135 - 0.005625

B = -8.050625

Solving for C we have

1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²

= 1 - 0.005625 * 144 - 0.001875 * 12 * 6 - 0.00015625 * 144

= 0.0325


In summary we can state that:

A = 0.049375

B =  -8.050625

C = 0.0325

Given that there were no abstract quantities, we can state that

Pr = A ≠ B ≠C or

Pr = 0.049375 ≠ -8.050625 ≠ 0.0325

Learn more about equations with equal signs at

brainly.com/question/18924248
#SPJ1

4 0
1 year ago
A line that includes the point (2,10) has a slope of 9. What is its equation in slope-intercept form
Bumek [7]

Equation: y= 9x+ (y-intercept)

Step-by-step explanation:

equation in slope-intercept form is y=mx+b. <em>m</em> represents the slope of the line, and <em>b</em> represents the y=intercept, which is where the line crosses the y-axis.

3 0
3 years ago
Write 4 3/7 as a decimal.
Citrus2011 [14]
Hi!

There are two ways to do this. 

1. Start with the first part of the decimal, (4.) then divide 3/7 to get the second part. 

3/7 = 0.43

4.43

2. Convert the mixed number 4 3/7 to a fraction. 

4 x 7 = 28
28 + 3 = 31

31/7

Now convert that into a decimal.

31/7 = 4.43

The answer is 4.43

Hope this helps! :)
3 0
2 years ago
Read 2 more answers
What should the graph of two lines look like when there are no solutions that they have in common?
nataly862011 [7]
If the graphs of the equations do not intersect
4 0
1 year ago
Read 2 more answers
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