Two coordinates points on the line y=6x

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A survey organization, as part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants. One of these surveys estimates with 90% confidence that the mean household income in the U.S. falls between $69,702 and $69,920. Find the point estimate for mean U.S. household income. (Enter your answer as a whole number.)

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Answer: $69811

Step-by-step explanation:

Given : A survey organization, as part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants.

One of these surveys estimates with 90% confidence that the mean household income in the U.S. falls between $69,702 and $69,920. (1)

We know that the confidence interval is given by :-

Point estimate of mean ± Margin of error

From (1) , we have

Point estimate for mean -Margin of error = $69,702 (2)

Point estimate for mean +Margin of error = $69,920 (3)

Add (2) and (3), we get

2 (Point estimate for mean) = $139622

Divide both sides by 2, we get

Point estimate for mean=$ 69811

Therefore , the point estimate for mean U.S. household income. = $ 69811

Final answer:

The point estimate for mean U.S. household income is $69,811.

Explanation:

The given information states that a survey organization, as part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years. This survey estimates with 90% confidence that the mean household income in the U.S. falls between $69,702 and $69,920. To find the point estimate for mean U.S. household income, we can simply take the average of the lower and upper bounds of the confidence interval:

Point estimate = (lower bound + upper bound) / 2

Substituting the given values, we get:

Point estimate = ($69,702 + $69,920) / 2 = $69,811

Learn more about Mean household income here:

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Please help! (picture included)

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Answer:

Step-by-step explanation:

Is y = 3x+4 and y=3x-5 parallel, perpendicular or neither?

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Answer: These Lines are Parallel

Step-by-step explanation: For two lines to be parallel, they must have the same slope with different y-intercepts. Both of the lines above have a slope of 3 and differing y-intercepts of 4 and -5. Therefore, these lines must be parallel to one another.

Answer:

one sec sorry

Step-by-step explanation:

Simplify this;
what is -2x + x?

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Answer:

-x

Step-by-step explanation:

Note that when there is a standalone variable (such as the x in this example), it typically actually means 1x. (If it is -x, it will be -1x.) However, you do not write 1 in front, as it is presumed.

Subtract the coefficient of each terms:

1x - 2x = -1x

-x is your simplified form.

Answer is -x

• If a term doesn’t have a coefficient is considered that the coefficient is 1
-2x + 1x
• collect like terms by calculating the sum of the coefficients
(-2 + 1)x
• Write the sum
-1x
• The coefficient negativeone doesn’t have to be written but the sign remains
-x

What is 5m² when m = 6?