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.)

Answer:

-5/3 ft/sec

Step-by-step explanation:

In this question, we are asked to calculate the rate at which the height of the top of a ladder is changing given that the lower end is being dragged at a particular rate.

Please check attachment for complete solution and step by step explanation.

Answer:

The rate of change of height,  dy / dt = -1.667 ft/s  

Step-by-step explanation:

Solution:-

- The length of the ladder, L = 39 ft

- The foot of the ladder is moved away from wall at a rate, dx/dt = 4ft/s

Find:-

how fast is the height of the top changing​ (this will be a negative​ rate) when the lower end is 15 feet from the​ wall?

Solution:-

- We will first draw a right angle triangle, with vertical height of the ladder to be"y" and distance of the foot of the ladder and the wall to be "x".

- Then express the length "L" in terms of x and y using pythagorean theorem:

                        L^2 = x^2 + y^2

                        y^2 = 39^2 - x^2  

- Taking height of the ladder as the dependent variable and distance of the foot of the ladder from wall as independent variable.

- Formulate a differential equation from the given expression above in terms of "dy/dt" and "dx/dt". Perform implicit differential of the computed expression "d/dt":

                        2y*dy/dt = -2x*dx/dt

                        dy / dt = -(x/y)*dx/dt

- Where, dy / dt : The change in height of the ladder.

- The height of the ladder at x = 15 ft is:

- Then evaluate dy/dt:

                        dy / dt = -(15/36)*4

                        dy / dt = -1.667 ft/s      

Answer: 4/9

Step-by-step explanation:

First find the LCD between 2/3 and 2/9.  Which is 9

Then you place the fractions into like terms

2   =6

3      9

6/9  - 2/ 9= 4/9

Final answer:

No, a survey conducted in a single high school in downtown New York City would not accurately represent the musical preferences of all American high school students. To get a representative sample, the survey would have to include diverse high schools across different states and environments.

Explanation:

You asked if a survey taken at a high school in downtown New York City would provide a good indication of the music choices of America's youth. The most accurate answer is D: No, in order to get an accurate sample, researchers should survey students from various high schools in various states including urban, rural, public, and private.

This is because a single high school in New York City cannot represent all the high school students in America. Music tastes can widely vary based on various factors such as geographical location, socio-economic background, cultural influences, etc. Therefore, to obtain a representative sample that can accurately reflect the music preferences of American high school students, it would be necessary to conduct a survey that includes a diverse range of high schools across different states and environments.

Learn more about Research Sampling here:

brainly.com/question/31713078

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Answer:

attach to cells with corresponding antigen

Step-by-step explanation:

:)

x=14/5

It is this because you would have to first multiply each side by 3, making the equation x+2=24/5, or 4 and 4/5.

Then you would have to subtract two from each side, making x=2 and 4/5, or 14/5

Answer:

O,' should have the answer -300.

Step-by-step explanation: