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Dennis_Churaev [7]
3 years ago
14

Which of the following is a factor of 2x^4 22x^3 60x^2? 2x^3 x^4 x 4 x 5

Mathematics
1 answer:
zavuch27 [327]3 years ago
8 0
The factor theorem says that for a function f(x), if f(a) = 0, then (x - a) is a factor of f(x).
For f(x) = 2x^4 + 22x^3 + 60x^2
f(-5) = 2(-5)^4 + 22(-5)^3 + 60(-5)^2 = 2(625) + 22(-125) + 60(25) = 1250 - 2750 + 1500 = 0
Therefore, x - (-5) = x + 5 is a factor of f(x).
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3 0
3 years ago
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps andfound that 1304 of them were not pumpi
elena-14-01-66 [18.8K]

Answer:

The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.

Step-by-step explanation:

Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.

x = 1304, n = 1304 + 5689 = 6993

The level of significance = 0.01

The sample proportion of pump which is not pumping accurately can be calculated as,

The claim is that the industry representative less than 20% of the pumps are inaccurate.

The hypothesis can be constructed as:

H0: p = 0.20

H1: p < 0.20

The one-sample proportion Z test will be used.

The test statistic value can be obtained as:

Z=\frac{\hat{p}-P}{\sqrt{\frac{P(1-P))}{n}}}\\\\Z=\frac{0.186-0.20}{6993}\\\\Z=-2.927

5 0
3 years ago
The average weight of a mango, kiwi, peach and banana is 135 grams. The average weight of the mango, kiwi and peach is 120 grams
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Answer:

200

Step-by-step explanation:

bruh truss me❤️

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tiny-mole [99]

Answer:

Greatest to least

28/13, 1, 6/20, -0.4

Step-by-step explanation:

3 0
3 years ago
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