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nikdorinn [45]
3 years ago
6

In a regular deck of cards, (52 cards) what is the probability of picking a face card?

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0
12
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Find an equation of the plane through the point (1, -5, 3) and perpendicular to the vector (2, -3, -3).
AnnyKZ [126]
<span>2x - 3y - 3z = 8
   We've been given the normal vector to the plane <2, -3, -3> and a point within the plane (1, -5, 3). In general if you've been given both the normal vector <a,b,c> and a point (e,f,g) within the plane, the expression for the plane will be: ax + by + cz = d
 and you can compute d by:
 d = ae + bf + cg
   So let's calculate d:
 d = ae + bf + cg
 d = 2*1 + -3*-5 + -3*3
 d = 2 + 15 + -9
 d = 8
   And the equation for the plane is 2x - 3y - 3z = 8</span>
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%287%20-%208%29%20%5Ctimes%202%20%7B%7D%5E%7B2%7D%20" id="TexFormula1" title="(7 - 8) \times 2
Diano4ka-milaya [45]
Answer: -4
Work: 7-8 = -1 x 4
7 0
3 years ago
Read 2 more answers
Can someone help! I know the answer I just need step by step!
baherus [9]

Answer:

4 \sqrt{2}

Step-by-step explanation:

Rewrite 32 as the product of 16 and 2:

\implies \sqrt{32}=\sqrt{16 \cdot 2

Apply exponent rule \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}

\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}

Rewrite 16 as 4²:

\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}

Apply exponent rule \sqrt{a^2}=a

\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}

6 0
2 years ago
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A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that spee
Vika [28.1K]
The answer is a because it starts at 0 then goes up to 23 and then it goes up to 46.
6 0
2 years ago
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What is the surface of a sphere with a radius of 13 units?
ZanzabumX [31]

Sphere = 4PiRsquared

Radius = 13

13 x 13 = 169

169 x 4= 676 Pi

5e surface is 676Pi

7 0
3 years ago
Read 2 more answers
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