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olga55 [171]
3 years ago
5

HELP!!! Describe the shape of the data distribution

Mathematics
1 answer:
Natalija [7]3 years ago
8 0
The data distribution is positively skewed

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A hot air balloon rising vertically is tracked by an observer located 5 miles from the lift-off point. At a certain moment, the
Zigmanuir [339]

Answer:

Step-by-step explanation:

aThe person and the hot air balloon form a right triangle, with the lift-off point as the vertex that form the right angle. If you were to try to solve for the height of the balloon, you would need to use tangent to do so:

tanθ = opp/adj = y/x

y = xtanθ

What this problem ultimately wants to know, is how the distance of the balloon is changing with respect to time: dy/dt. So we need to take the derivative of the above equation (you need to product rule to do so):

dy/dt = (dx/dt)tanθ + xsec2θ(dθ/dt)

We need to find out values for all of the variables:

The observer is not moving, therefore dx/dt = 0.

The observer is standing 4 miles away from the lift-off point, so x = 4.

The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.

The rate of change for the angle, dθ/dt, is 0.1.

Just plug all the numbers in:

dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)

dy/dt = 0 + 1.6

dy/dt = 1.6 mi/min

5 0
2 years ago
Refer to the technology output given to the right that results from measured hemoglobin levels (g/dL) in 100 randomly selected a
charle [14.2K]

Answer:

Step-by-step explanation:

a)

Confidence interval in less than symbol expressed as

\bar{x} - E < \mu < \bar{x} + E&#10;

Where \bar{x} is sample mean and  E is margin of error.

13.03 < \mu 13.42&#10;

b)

The given t interval is (13.032 , 13.418 )&#10;

That is \bar{x} - E = 13.032 and \bar{x} + E = 13.418

Solve these two equation by adding together.

2 \bar{x} = 13.032 + 13.418&#10;\\\\\bar{x} = 13.225

Solve this value of \bar{x} in equation \bar{x} - E = 13.032 and solve for E

13.225 - E = 13.032&#10;\\\\E = 0.193&#10;

Best point estimate of \mu = \bar{x} = 13.225&#10;

Best point estimate of margin of error = 0.193

c)

Since sample size = 100 which is sufficiently large (Greater than 30) , it is no need to confirm that

sample data appear to be form a population with normal distribution.

8 0
3 years ago
What is the equation of the line that passes through (4, 3) and (-4, -1)?
snow_lady [41]
It should be y=1/2x+1
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3 years ago
Choose the solution set represented by the following graph.
Sveta_85 [38]

Answer:

{x|x rx>-2}

Step-by-step explanation:

hope helpful answer

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(4.7 * 108) + (3.35 x 10)
Bond [772]

Answer: 541.1

Step-by-step explanation:

multiply each set of parenthesis and add the two answers

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3 years ago
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