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GarryVolchara [31]
3 years ago
13

Find the 40th term of this arithmetic sequence.

Mathematics
1 answer:
Allisa [31]3 years ago
5 0
199 is the answer because the equation you use is an=a1+d(n-1). Where an (the n is actually supposed to be smaller than the a) is the nth term (a40), a1 (1 smaller than a) is the first term (4), d is the difference (5), and n is the number of the term you're looking for (40)
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4.
LekaFEV [45]

Answer: C, 7.5

Step-by-step explanation: Since he can ring up 2 customers in 8 minutes, that would mean he can ring up 4 in 16 minutes. He could also ring up 6 in 24 minutes. He could do this since every two customers is 8 minutes. 4 minutes would mean he could do 1 customer and 2 minutes would be .5 customer. So, at 24 minutes he could ring 6 customers and a extra 6 minutes to 30 minutes would add 1.5 customers to a total of 7.5 customers in half an hour (30 minutes)

7 0
3 years ago
A cylindrical soup can has a radius of 1.8 in. and is 6.7 in. tall. Find the volume of the can.
avanturin [10]
<h3><u><em>I</em></u><u><em>nitial considerations</em></u></h3>
  • <em>radius = 1.8 in</em>
  • <em>tall = 6.7 in</em>
  • <em>Volume?</em>

<h3><u><em>Resolution</em></u></h3>

<em>Volume = base area x tall</em>

<em>base area = π x (1.8in)²</em>

<em>base area = 10.179 in²</em>

<em>Volume = 10.179 in² x 6.7 in</em>

<em>Volume = 68.198 in³</em>

<h3 /><h3><em><u>Answer</u></em></h3>

<em>the volume is 68.198 in³</em>

5 0
3 years ago
The mean number of hours of flying time for pilots at Continental Airlines is 49 hours per month. Assume that this mean was base
Effectus [21]

Answer:

a) 17.09 hours

b) The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 49 - 1 = 48

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 48 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0106

The margin of error is:

M = T*s = 2.0106*8.5 = 17.09

s is the standard deviation of the sample. 17.09 hours is the answer for a.

The lower end of the interval is the sample mean subtracted by M. So it is 49 - 17.09 = 31.91 hours

The upper end of the interval is the sample mean added to M. So it is 49 + 17.09 = 66.09 hours

The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

8 0
3 years ago
A rectangle is 10 inches wider than it is long. The perimeter is 48 inches. what is the length and width of the rectangle?
Liula [17]

Answer:

a) x represents length?

b) 10+x=48

d) 38 inches

Step-by-step explanation:

c) 10+x=48

subtract 10 to both sides

x=48-10

x=38

3 0
3 years ago
What is the complete factorization of the polynomial below
zepelin [54]

Answer:

B. (x+4)(x+i)(x-i)

Step-by-step explanation:

Let P(x)=x^3-4x^2+x-4

We can factor this polynomial by grouping:

P(x)=x^2(x-4)+1(x-4)

We factor further to obtain:

P(x)=(x^2+1)(x-4)

P(x)=(x^2-\sqrt{-1}^2)(x-4)

We apply difference of two squares to get:

P(x)=(x-i)(x+i)(x-4)

7 0
3 years ago
Read 2 more answers
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