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3 years ago

Calculate the approximate distance point A (5, 3, −2) and point B (2, −4, 8) are from the origin. Round to the nearest tenth.

1 answer:

8 0

The distance of A from the origin.
√(5²+3²+(-2)²)= √(25+9+4)
=√38
=6.2

The distance of B from the origin

√(2²+(-4)²+8²=√(4+16+64)

=√84
= 9.2

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N a game, four cards are labeled N, S, E, and W. Two tiles are numbered 1 and 2. Two discs are red and blue. A player randomly s

algol [13]

Answer: The probability that the player selects a card with S or E, a tile with 2 and a red disc is given as 0.125 (or 1/8)

Step-by-step explanation: If four cards are labelled N, S, E and W, then that means there are a total of four possible outcomes. Also with tiles numbered 1 and 2 there are a total of two possible outcomes when selecting tiles. Then there are two discs in total (one red and one blue) which means there are a total of two outcomes when selecting discs.

To select a card with S would be calculated as follows;

P(S) = Number of required outcomes/Number of all possible outcomes

P(S) = 1/4

P(S) = 0.25

To select a card with E would likewise be calculated as follows;

P(E) = Number of required outcomes/Number of possible outcomes

P(E) = 1/4

P(E) = 0.25

Therefore, the probability that a player selects a card with S or E is derived as follows;

P(S or E) = P(S) + P(E)

P(S or E) = 0.25 + 0.25

P(S or E) = 0.5

The probability that he selects a tile with 2 written on it is calculated as;

P(T2) = Number of required outcomes/Number of all possible outcomes

P(T2) = 1/2

P(T2) = 0.5

The probability that he will select a red disc is calculated as;

P(R) = Number of required outcomes/Number of possible outcomes

P(R) = 1/2

P(R) = 0.5

Therefore, the probability that the player selects a card with S or E, a tile with 2 and a red disc is calculated as;

P(S or E and T2 and R) = 0.5*0.5*0.5

P(S or E and T2 and R) = 0.125

Hence the probability that the player selects a card with S or E, a tile with 2 and a red disc is 0.125 (or 1/8).

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3 years ago

A student who correctly answered 60 questions a test received a score of 75%. How many questions were on the test

Iteru [2.4K]

It would be 45 you take 60 x 75%

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3 years ago

If the data is spread out evenly, the measure of the center that is best to use is the what.

miss Akunina [59]

That would be the mean.

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4 years ago

Read 2 more answers

Volume of sphere Marcus is using small stone spheres

satela [25.4K]

<h2>Volume of Sphere</h2>

1. What is the radius of the stone sphere?

- To know what is the radius divide is by 2.

$\large \tt 6 \div 2 = 3$

Therefore, the radius of the stone sphere is 3in

2. What is the volume of the stone sphere?

- Using the formula in finding the Volume of Sphere $\tt V = \frac{4}{3}\pi r^3$ to get the answer. Where the volume of the sphere is $\tt\frac{4}{3}\:\:\:\:\pi$ multiplied by the cube of the radius.

$\tt V = \frac{4}{3}\pi r^3$
$\tt V = \frac{4}{3}\times 3.14\times 3in^3$
$\tt V = \frac{4}{3}\times 3.14\times 27in$
$\tt V = \frac{4}{3}\times 84.78in$
$\tt V = \frac{339.12in}{3}$
$\tt V = 113.04in^3$

Therefore, the volume of the stone sphere is 113.04in³

3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for <em>π</em>, and round to the nearest hundredth.

- Using the formula in finding the Volume of Sphere $\tt V = \frac{4}{3}\pi r^3$ to get the answer. Where the volume of the sphere is $\tt\frac{4}{3}\:\:\:\:\pi$ multiplied by the cube of the radius.