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Vera_Pavlovna [14]
3 years ago
9

Find the 3rd term in the expansion of (a+b)^8 in simplest form.

Mathematics
1 answer:
Art [367]3 years ago
4 0

Answer:

The fifth term is the middle term of nine, with coefficient given by all the ways of choosing  4  items out of  8 , namely the ways of choosing  4   a 's out of  8  binomial factors.

Step-by-step explanation:

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Map of field: 12 in × 15 in
alexdok [17]
Multiply the dimensions by 3 to convert to feet.

12 x 3 = 36 ft.

15 x 3 = 45 ft.

the dimensions are 36 ft. x 45 ft.
4 0
3 years ago
write a number that is greater than 1 in scientific notation . Explain how you know it is greater than 1 .
Gemiola [76]

Answer: 9.3 because it’s a decimal .

Step-by-step explanation:

6 0
3 years ago
A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ=0.0
oksian1 [2.3K]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z^* SE                   (1)

, where \overline{x} = sample mean

z* = critical value.

SE = standard error

and SE=\dfrac{\sigma}{\sqrt{n}} , \sigma = population standard deviation.

n= sample size.

As per given , we have

\overline{x}=74.021

\sigma=0.001

n= 15

It is known that ring diameter is normally distributed.

SE=\dfrac{0.001}{\sqrt{15}}=0.000258198889747\approx0.000258199

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

74.021\pm (2.576) (0.000258199)     (using (1))

74.021\pm 0.000665120624

74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)  [Rounded to three decimal places]

∴  A 99% two-sided confidence interval on the true mean piston diameter  = (74.020, 74.022)

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 95% lower confidence bound on the true mean piston diameter:

74.021- (1.96) (0.000258199)    (using (1))

74.021- 0.00050607004=74.02049393\approx74.020 [Rounded to three decimal places]

∴  A 95% lower confidence bound on the true mean piston diameter= 74.020

7 0
3 years ago
What is the equation of M=3,x=4,and b=9
natita [175]

Answer:

21=3(4)+9

Step-by-step explanation:

Assuming that the equation that you are trying the get is y=mx+b, plug in m, x, and b to get:

y=3(4)+9

y=12+9

y=21

Please be more specific so that you get the answer you need

6 0
3 years ago
2800 ml +2.6 L<br> 2800 ml +2.6 L
Tom [10]

Answer:

10 800 ml

Step-by-step explanation:

I hope this helps :}

5 0
3 years ago
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