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3 years ago

Classify AFD: Rays and Angles.

Mathematics

1 answer:

valentinak56 [21]3 years ago

7 0

∠AFD is an obtuse angle.

∠CFE is a right angle.

Acute angles: ∠AFB, ∠BFC, ∠DFE.

Solution:

An angle which measures less than 90° is called acute angle.

An angle which measures exactly 90° is called a right angle. It is denoted the by symbol "L".

An angle which measures more than 90° is called an obtuse angle.

In the given figure,

∠AFD is an obtuse angle.

∠CFE is a right angle.

Acute angles in the figure is ∠AFB, ∠BFC, ∠DFE.

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A sample of 8 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the pop

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Answer:

$\bar X= \frac{1.83+1.85+1.79+1.73+1.69+1.74+1.76+1.70}{8}= 1.76125$

Now we can estimate the population variance with the sample variance given by:

$s^2 = \frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}$

And replacing we got:

$s^2 = 0.0033839$

And the estimator for the population deviation $\sigma$ is given by :

$\hat \sigma = \sqrt{s^2}= \sqrt{0.0033839}= 0.058172$

Step-by-step explanation:

For this case we have the following data given:

1.83,1.85,1.79,1.73,1.69,1.74,1.76,1.70

First we need to calculate the mean with the following formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= \frac{1.83+1.85+1.79+1.73+1.69+1.74+1.76+1.70}{8}= 1.76125$

Now we can estimate the population variance with the sample variance given by:

$s^2 = \frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}$

And replacing we got:

$s^2 = 0.0033839$

And the estimator for the population deviation $\sigma$ is given by :

$\hat \sigma = \sqrt{s^2}= \sqrt{0.0033839}= 0.058172$

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4 years ago

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Step-by-step explanation:

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3 years ago

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4 years ago

Read 2 more answers

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Harlamova29_29 [7]

Answer:

Total number of cars in the parking lot are 80.

Step-by-step explanation:

Let the number of cars = x and the number of trucks = y

Since, there are 1.5 times many cars than the truck, we get,

Number of cars = 1.5 time number of trucks

i.e. $y=1.5x$

Also, it is given that when 45 cars were added in the lot, 12 trucks left the parking lot.

So, we get,

Number of cars + 45 = Number of trucks - 12

i.e. $x+45=1.5x-12$

Finally, there are 17 cars more than the trucks.

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i.e. $x+45=1.5x+5$

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Thus, the total number of cars in the parking lot are 80.

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Answer:

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Step-by-step explanation:

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