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3 years ago

How would the following triangle be classified?

Mathematics

1 answer:

Anna [14]3 years ago

8 0

Answer:

hope this helpful

Step-by-step explanation:

isosceles right

because A light ray incident at 90° at the first face emerges at the same angle. The diagram shows five isosceles right-angled prisms. A light ray incident at 90° at the first face emerges at the same angle with the normal from the last face.

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Seven less than one-third of a number is 5

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D • (-4) = 32 solve for d

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Step-by-step explanation:

Isolate the variable, d. Note the equal sign, what you do to one side, you do to the other. Divide -4 from both sides of the equation:

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2 years ago

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Solve the problem. A variable x has the possible observations shown below. Possible observations of x: -3 -1 0 1 1 2 4 4 5 Find

svp [43]

Answer:

The z-score corresponding to an observed value of x of 2 is 0.215.

Step-by-step explanation:

We are given that a variable x has the possible observations shown below;

Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.

Firstly, we will find the mean and the standard deviation of X, i.e;

Mean of X, ( $\mu$ ) = $\frac{\sum X}{n}$

= $\frac{(-3)+ (-1)+ 0+ 1+ 1+ 2+ 4+ 4+ 5}{9}$

= $\frac{13}{9}$ = 1.44

Standard deviation of X, ( $\sigma$ ) = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{(-3-1.44)^{2}+(-1-1.44)^{2}+......+(4-1.44)^{2}+(5-1.44)^{2} }{9-1} }$

= 2.603

Now, the z-score corresponding to an observed value of x of 2 is given by;

z-score = $\frac{X-\mu}{\sigma}$

= $\frac{2-1.44}{2.603}$ = <u>0.215.</u>

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