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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

Solutions > Card Problems Calculator >

One card is selected at random from a deck of cards. Determine the probability that the card selected is a 5?

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

π

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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Steps Examples

Generated by AI

projection (

2

4

), (

−1

5

)

Solution

(

95

185

)

Show Steps

Hide Steps

Solution steps

One step at a time

proj_⃗ a(⃗ b )=⃗ b · ⃗ a |⃗ a |² · ⃗ a

⃗ a =(

2

4

), ⃗ b =(

−1

5

)

|⃗ a |: |(

2

4

)|=2√5

⃗ b · ⃗ a : (

−1

5

)(

2

4

)=18

⃗ b · ⃗ a |⃗ a |² · ⃗ a =18(2√5)² · (

2

4

)

Refine: 18(2√5)² (

2

4

)=(

95

185

)

=(

95

185

)

(

95

185

)

Card Problems Examples

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Chat with Symbo

CHÀO, hỏi một câu hỏi về projection (

2

4

),(

−1

5

) hoặc chọn bên dưới

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