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inessss [21]
3 years ago
11

You randomly select one card from a 52-card deckFind the probability of selecting the eight of spades or the seven of hearts

Mathematics
2 answers:
Oksana_A [137]3 years ago
6 0
<h2><u>A</u><u> </u><u>N</u><u> </u><u>S</u><u> </u><u>W</u><u> </u><u>E</u><u> </u><u>R</u><u> </u><u>:</u></h2>

  • A pack of 52 card deck.
  • The 52 cards contains 13 spades and 13 hearts.

→ Probablity of getting the 8 spades = 1/52

→ Probablity of getting the 7 hearts = 1/52

  • Both are mutually exclusive event's.

So,

⇒ Probablity of getting 7 hearts or 8 spades = Probablity of getting the 7 hearts + Probablity of getting the 8 spades

⇒ Probablity of getting 7 hearts or 8 spades = 1/52 + 1/52

⇒ Probablity of getting 7 hearts or 8 spades = 2/52

⇒ Probablity of getting 7 hearts or 8 spades = 1/26

dangina [55]3 years ago
5 0

Answer:

2/52

Step-by-step explanation:

Because a normal deck of cards only has one eight of spades and only one of seven of heart. So that means the probability would be 2/52. Hope you get it!

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The radius of a circle is 2.9 in. Find the circumference to the nearest tenth.
ELEN [110]

Answer:

\bf \large 20 \: inches

Step-by-step explanation:

<h2>Given that :</h2>

  • The radius of a circle is 2.9 in.

<h2>to find :</h2>

  • Find the circumference to the nearest tenth.

<h2>formulas used :</h2>

  • circumference = 2 × π × r

where,

  • π = 22/7
  • r = 2•9 inches

<h2>explanation :</h2>

⟼ c = 2πr

⟼ c = 2 × 22/7 × 2•9 inches

⟼ c = 2 × 3•14 × 2•9 inches

⟼ c = 6•28 × 2•9 inches

⟼ c = 18•21 inches.

<h2>Round to the nearest tenth :</h2>

⟼ c = 18•21 inches

⟼ c = 20 inches

∴ circle circumference is 20 inches .

3 0
3 years ago
Let​ R(x), C(x), and​ P(x) be,​ respectively, the​ revenue, cost, and​ profit, in​ dollars, from the production and sale of x it
sp2606 [1]

Answer:

P(x) = -0.004x^2 - 3.7x - 50

Step-by-step explanation:

We have to find profit P(x).

This can be easily found using a formula for Profit given the Revenue and Cost.

Profit = Revenue - Cost

P(x) = R(x) - C(x)

Given that:

R(x) = 6x

C(x) = 0.004x^2 + 2.3x + 50

to find P(x) we can simply subtract R(x) by C(x).

P(x) = R(x) - C(x)

P(x) = (6x) - (0.004x^2 + 2.3x + 50)

P(x) = 6x - 0.004x^2 - 2.3x - 50

and finally, after simplify this equation subtracting 6x by 2.3x.

this is the equation for the profit P(x)

P(x) = -0.004x^2 - 3.7x - 50

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Similar triangles are congruent.
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Step-by-step explanation:

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