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Bezzdna [24]
2 years ago
5

Find the Nth term of this number sequnce 7,10,13,16

Mathematics
1 answer:
Strike441 [17]2 years ago
3 0

\text{It is an arithmetic series.}\\\\\text{First term,}~ a = 7\\\\\text{Common difference,}~ d=10 -7 = 3\\\\\text{Nth term} = a + (n -1) d\\\\~~~~~~~~~~~~~=7+(n-1)3\\\\~~~~~~~~~~~~~=7+3n-3\\\\~~~~~~~~~~~~~=4+3n

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Skye’s gross annual income is $36,192. She is paid weekly and has 4% deducted from her paychecks for her 403(b). Her employer ma
S_A_V [24]

Answer:

$48.72

Step-by-step explanation:

<u>Step 1:</u> identify the given parameters

Sky's gross annual income = $36,192

<u>Step 2:</u> calculate Sky's weekly salary

= 36,192/52

=$696/week

<u>Step 3: </u>calculate Sky's weekly 4% deduction

= $696 X 4%

=$696 X 0.04 = $27.84

<u>Step 4: </u>calculate Sky's weekly 3% deduction

= $696 X 3%

=$696 X 0.03 = $20.88

<u>Step 5</u>: calculate how much is deposited into Skye’s 403(b) each payday

= $27.84 + $20.88

=$48.72

8 0
3 years ago
b. Find a 99% confidence interval for mean age of ICU patients using the facts that, in the sample, the mean is 57.55 years and
rjkz [21]

Answer:

<em>99% of confidence intervals for mean age of ICU patients</em>

<em>(53.8920 , 61.2079)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given sample mean </em>x^{-} = 57.55<em></em>

Given standard error is determined by

                                                             S.E =\frac{S.D}{\sqrt{n} }

<em>Given data standard error = 1.42</em>

<em>99% of confidence intervals for mean is determined by</em>

(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} } )

Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.05} = 2.576

(x^{-} - 2.576 S.E , x^{-} + 2.576 S.E)

(57.55 - 2.576X 1.42 , 57.55+ 2.576 X1.42)

(53.8920 , 61.2079)

<u><em>Conclusion</em></u>:-

<em>99% of confidence intervals for mean is determined by</em>

<em>(53.8920 , 61.2079)</em>

5 0
3 years ago
A rectangular box with a square base contains 24 cubic feet. if the height of the box is 18 inches, how many feet are there in e
Romashka-Z-Leto [24]

Answer:

4

Step-by-step explanation:

V = Lwh

the volume (given) = 24 ft^3

the height (given) = 18" = 1.5'

24 = L*w*1.5

divide both sides by 1.5

16 = Lw

You need to find the number of feet in each side of the base

since the box has a square base

L = W

AND, found above, L*w = 16

so 4*4= 16

Answer - 4

3 0
3 years ago
Decimal representation of rational number 8by 27 is what??
irakobra [83]

Answer:

8/27 is represented in decimal as 0.2962962963

4 0
3 years ago
Read 2 more answers
At a bargain store, Tanya bought 4 items that each cost the same amount. Tony bought 5 items that each cost the same amount, but
Alex_Xolod [135]

If x is the amount that Tanya paid for each item, then Tony's items would be x-2.25. So:

3x=4(x-2.25)

3x=4x-9

x=9

x-2.25=6.75

Tanya spent $9 on each item; Tony spent $6.75 on each of his items. ☺☺☺☺

6 0
3 years ago
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