Find the standard deviation of the following data. Round your answer to one decimal place. x 0 1 2 3 4 5 P(X

Answers

Answer 1

Answer:

Answer:

$\sigma = 1.8$

Step-by-step explanation:

Given

$\begin{array}{ccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} \ \n P(x) & {0.2} & {0.1} & {0.1} & {0.2} & {0.2}& {0.2} \ \end{array}$

Required

The standard deviation

First, calculate the expected value E(x)

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 0 * 0.2 + 1 * 0.1 + 2 * 0.1 + 3 * 0.2 + 4 * 0.2 + 5 * 0.2$

$E(x) = 2.7$

Next, calculate E(x^2)

$E(x^2) = \sum x^2 * P(x)$

So, we have:

$E(x^2) = 0^2 * 0.2 + 1^2 * 0.1 + 2^2 * 0.1 + 3^2 * 0.2 + 4^2 * 0.2 + 5^2 * 0.2$

$E(x^2) = 10.5$

The standard deviation is:

$\sigma = √(E(x^2) - (E(x))^2)$

$\sigma = √(10.5 - 2.7^2)$

$\sigma = √(10.5 - 7.29)$

$\sigma = √(3.21)$

$\sigma = 1.8$ --- approximated

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Describe how to simplify the expression 3^-6/3^-4a. Divide the bases and then add the exponents.
b. Keep the base the same and then add the exponents.
c. Multiply the bases and then subtract the exponents.
d. Keep the base the same and then subtract the exponents.

Answers

Answer:

The correct option is d. To simplify the given expression we should keep the base the same and then subtract the exponents.

Step-by-step explanation:

The given expression is

$(3^(-6))/(3^(-4))$

In the above expression we have common base 3 but the exponents are different.

According to the rule of exponent, if the numerator and denominator have same base and different exponent, then the base remains the same and the exponent of denominator subtracted from exponent of numerator.

$(a^m)/(a^n) =a^(m-n)$

Use this rule in the given expression.

$(3^(-6))/(3^(-4))=3^(-6-(-4))$

$(3^(-6))/(3^(-4))=3^(-2)$

Therefore the correct option is d.

Answer:

d or Keep the base the same and then subtract the exponents.

Step-by-step explanation:

Write an equation for the line through the points (7, 2) and (10,6) in point-slope form.

Answers

Answer:

Your answer is y-2=4/3(x-7)

Step-by-step explanation:

Answer:

y-2=4/3(x-7)

Step-by-step explanation:

Molly is at the Ice Cream Store. To get there, she went 1 unit right and 7 units down. Which location did Molly start from?

Answers

Answer:

To get to the ice cream store, Molly went 1 unit right and 7 units down. This means that she moved 1 unit to the right from her original position and 7 units down from her original position.

So, to find Molly's starting position, we need to move 1 unit to the left from the ice cream store and 7 units up from the ice cream store.

Therefore, Molly started from a location that is 1 unit to the left and 7 units up from the Ice Cream Store.

Step-by-step explanation:

Julian measures the distance he drives to work each day using the odometer on his car, which measures distance in miles, accurate to the nearest tenth of a mile. Using that measurement, he claims that the exact distance he drives to work is 11.7 miles. Use complete sentences to explain why Julian’s claim is incorrect.

Answers

The claim is incorrect because the car's odometer is not perfectly accurate. A 10-minute he can measure to an accuracy of 1 mile, but is prone to error due to wear, calibration, measurement error and other factors. Additionally, factors such as tire pressure and changes in road conditions can affect the accuracy of odometer readings.

What is odometer of car?

An odometer is an in-vehicle device that measures the distance traveled by the vehicle. Displays the total number of miles or kilometers the car has traveled since the car was manufactured or the odometer was last reset. This measurement is important for several reasons. B. To track vehicle maintenance schedules, estimate fuel consumption, and determine vehicle resale value. Odometers typically use mechanical or electronic components to measure the distance traveled by a vehicle and display the information on the dashboard. However, as mentioned earlier, the accuracy of odometer readings depends on a number of factors.

To know more about the odometer

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