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velikii [3]
3 years ago
10

Expand and simplify (3x+5)(4x-1)

Mathematics
1 answer:
Whitepunk [10]3 years ago
5 0
Use FOIL and simply, First times First, Outside times Outside, Inside times Inside, Last times Last.

(3x+5)(4x-1)
3x * 4x = 12x²
3x * -1 = -3x
5 * 4x = 20x
5 * -1 = -5

12x² - 3x + 20x - 5

Now simplify by adding -3x to 20x and get:

12x² + 17x - 5
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Answer:

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Step-by-step explanation:

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In a survey of 2065 adults in a certain country conducted during a period of economic uncertainty, 63 % thought that wages paid
LenKa [72]

Answer:

a) D.The interpretation is flawed. No interval has been provided about the population proportion.

b) D.The interpretation is flawed. The interpretation indicates that the level of confidence is varying.

c) A.The interpretation is reasonable.

d) C.The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, which is not true.

Step-by-step explanation:

(a) We are 95 % confident 63 % of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low. Is the interpretation reasonable?

D.The interpretation is flawed. No interval has been provided about the population proportion.

The sample proportion alone will not give us any confidence in estimating the true proportion of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low.

We need a 95% confidence interval to claim that the true proportion is within this interval. In this case, as the margin of error is 4%, the 95% CI is 59% and 67%.

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D.The interpretation is flawed. The interpretation indicates that the level of confidence is varying.

The confidence is set at a fixed value and from that value the confidence interval is estimated. It still uses the sample proportion instead of the confidence interval to estimate the true proportion.

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A.The interpretation is reasonable.

It uses the right sample data and interpret correctly the meaning of the confidence interval.

(d) In 95 % of samples of adults in the country during the period of economic uncertainty, the proportion who believed wages paid to workers in industry were too low is between 0.59 and 0.67. Is the interpretation reasonable?

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Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.
wlad13 [49]

The given circle having two external tangents, according to circle

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<h3>How can the radial  length and angles be found?</h3>

r² + 1.6² = (0.4 + r)²

(0.4 + r)² - (r² + 1.6²) = 0

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According to circle theorems, angle at the center is twice angle

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