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Lelu [443]
3 years ago
9

One card is selected at random from a deck of cards. determine the probability of selecting a card that is less than 99 or a spa

despade. note that the ace is considered a low card.
Mathematics
1 answer:
Kitty [74]3 years ago
8 0
Since these events are independent, you add the possibilities

the number of cards less than 9 is 32
the number of spades is 13
there are 52 cards in a deck, so you put those numbers over 52

32/52 + 13/52 = 45/52

the answer is 45/52
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What value of x satisfies
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Answer:

See explanation

Step-by-step explanation:

The given trigonometric equation is cos(90-x)=-\frac{\sqrt{3} }{3}.

We take the inverse cosine of both sides to get:

90-x=cos^{-1}(-\frac{\sqrt{3} }{3})

90-x=125

x=125-90

x=-35\degree=325\degree to the nearest degree

None of the options satisfies the given equation.

But if the question is actually;

cos(90-x)=-\frac{\sqrt{3} }{2}

Then;

90-x=\cos^{-1}(-\frac{\sqrt{3} }{2}).

90-x=210.

90-x=210.

x=-120\degree.

Or

x=360-120=240\degree.

In this case the answer will be B

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3 years ago
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3 years ago
Consider the sequence whose first five terms are shown. -59 ,-67 ,-65 ,-53 ,-31 ,... The first term is ____ To calculate the sec
GaryK [48]

Step-by-step explanation:

The sequence is as follows :

-59 ,-67 ,-65 ,-53 ,-31 ,...

The first term = -59

The second term = -67

Common difference = second term - first term

=-67-(-59)\\\\=-8

To calculate the second term add (-8).

To calculate each additional term, increase the amount added by -8.

7 0
3 years ago
Find the value of the variable plz help
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Answer:

Step-by-step explanation:

Vertically opposite angles are equal.

8y + 36 = 14y -24                Subtract 36 to both sides

8y = 14y - 24 - 36               Combine

8y = 14y - 60                       Subtract 14y from both sides

8y - 14y = - 60

-6y = -60                             Divide by - 6

-6y/-6 = -60/-6

y = 10

===========================

x +48 = 64                        Subtract 48 from both sides

x +48 - 48 = 64-16

x = 16

                   

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