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monitta
3 years ago
9

(x+0.5)^3 Expand the Equation using Pascal’s Triangle and the Binomial Theorem.

Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Answer: x^3 + 1.5x^2 + 0.75x + 0.125

Step-by-step explanation:

Use the binomial expansion theorem to find and simplify each term.

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is
Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given the mean of the Population(μ)  = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

                                                 S = √784 = 28

<u><em>Step(ii)</em></u>:-

<u><em>Null hypothesis: H₀</em></u>: There is no sufficient evidence to support the claim that the bags are underfilled.

<u><em>Alternative hypothesis: H₁:</em></u>

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

                     t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

                    t = \frac{412 -419}{\frac{28}{\sqrt{19} } }

                   t = -1.09

                 |t| = |-1.09|

<em>Degrees of freedom   ν = n-1 = 19-1 =18</em>

<em>t₀.₀₂₅ =  3.19</em>

<u><em>Final answer:</em></u><em>-</em>

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

                   

8 0
3 years ago
6,528 divided by 8 and also 6,349 divided by 9
mote1985 [20]

Answer:

6,528 divided by 8 is 816

6528/8 = 816

6348 divide by 9 is 705.44..... ♾️

7 0
2 years ago
The midpoint between (–4, 8) and (0, 10) is (x, y). What is x?
Dmitrij [34]

Answer:

x = -2

Step-by-step explanation:

The x coordinate of the midpoint is found by adding the x coordinates together and dividing by 2

( -4+0)/2 = -4/2 = -2

The y coordinate of the midpoint is found by adding the y coordinates together and dividing by 2

( 8+10)/2 = 18/2 = 9

7 0
3 years ago
When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number that is 5 les
Natasha_Volkova [10]
Hello. In order to solve this problem, you need to write an equation. Hence, you determine this equation:

8 + 2x = 8(x-5)
8 + 2x = 8x - 40
8 + 40 = 8x - 2x
48 = 6x
x = 8.
3 0
3 years ago
51:9 in simplelest form
Svet_ta [14]
the answer should be 17/3
7 0
3 years ago
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