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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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Which of the following is another name for a proof by contradiction?
andrew-mc [135]

Answer:

C. Indirect Proof

Step-by-step explanation:

There are two methods of indirect proof: proof of the contrapositive and proof by contradiction.

3 0
3 years ago
The sanctuary currently has 125 exotic fish. The average amount of the tank allotted for each fish is represented by the binomia
sveta [45]
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6 0
3 years ago
Given sec theta=-4/3 and 90°
hoa [83]

Answer:

Option A.

Step-by-step explanation:

It is given secθ = - \frac{4}{3}

then cosθ = -\frac{3}{4}

Now we know the identity

sinθ = \sqrt{1-cos^{2}\theta }

       = \sqrt{1-(-\frac{3}{4} )^{2}}

       = \frac{\sqrt{7} }{4}

Now sin2θ = 2sinθcosθ

Now we put the values of cosine and sine in the formula

sin2θ = 2×(-\frac{3}{4})(\frac{\sqrt{7}}{4})

         = -\frac{3\sqrt{7}}{8}

Therefore, option A. is the answer.

3 0
3 years ago
Clarke paid $5 each for three pairs of earrings. The tax rate was 7%. What is the amount Clarke paid?
Mrac [35]

Answer:

5 x 3 = 15

7% = 0.7 x 15 = 10.5

10.5 + 15 = 25.5

she paid $25.50

7 0
2 years ago
Read 2 more answers
The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont
Kryger [21]

Answer:

a) P= $56,972.5

b) A=$1,26,792.3

Step-by-step explanation:

Given Data:

Interest rate=r= 0.08  per year

No. of years=t=10

Rate of continuous money flow is given by the function

f(t)=2000

a) to find the present value of money

P=\int\limits^n_0 {f(t)e^{-rt} } \, dt

Put f(t)=2000 and n=10 years and r=0.08

P=\int\limits^n_0 {2000e^{-0.08t} } \, dt

Now integrate

P= {2000(\frac{e^{-0.08t}}{-0.08} )

P= -\frac{2000}{0.08} (e^{-0.08*10}-e^{-0.08*0})

P= -\frac{2000}{0.08} (e^{-0.8}-e^{0})

P= -\frac{2000}{0.08} (0.4493-2.7282)

P= -\frac{2000}{0.08} (-2.2789)

P= -25000(-2.2789)

P= $56972.5

(b) to find the accumulated amount of money at t=10

A=P(e^{rt} )

Where P is the present worth already calculated in part a

A=56972.5(e^{0.08*10} )

A=56972.5(e^{0.8} )

A=56972.5(2.2255 )

A=$1,26,792.3

5 0
3 years ago
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