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1 year ago

If you select one card at random from a standard deck of 52 cards, what is the probability that the card is a king AND a spade?

Mathematics

1 answer:

ExtremeBDS [4]1 year ago

7 0

Given:

There are 52 cards.

So, n(s)=52

To find the probability that the card is a king and a spade:

Let A be an event of choosing a card that is king and a spade.

So, n(A)=1

Hence, the probability that the card is a king and a spade is,

$\frac{1}{52}$

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What is -0.8 as a fraction?

stira [4]

Answer:

$-\frac{4}{5}$

Step-by-step explanation:

There is not much that can be done to figure out how to write 0.8 as a fraction, except to literally use what the decimal portion of your number, the .8, means.

Since there are 1 digits in 8, the very last digit is the "10th" decimal place.

So we can just say that .8 is the same as 8/10.

The fraction is not reduced to lowest terms. We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 2.

Why divide by 2? 2 is the Greatest Common Divisor (GCD) or Greatest Common Factor (GCF) of the numbers 8 and 10.

So, this fraction reduced to lowest terms is 4/5

So your final answer is: 0.8 can be written as the fraction 8/10 simplified to 4/5

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3 years ago

Read 2 more answers

Glenn spends 105 minutes exercising every day. He spends 3 fifths of the time running. How much time dose Glenn spend running?

lozanna [386]

Answer: 63 mins

Step-by-step explanation:

$105(\frac{3}{5})=63$

7 0

3 years ago

Use a whole number, a fraction, one plus sign, and four 2's to make 23.

alexira [117]

22+2/2=23

22 is whole number
one plus sign
and 2/2 is the fraction
4 digits are 2

6 0

3 years ago

Choose the correct equation for the line shown on the graph

Viefleur [7K]

It would be C y=-1/4x-1

5 0

2 years ago

Read 2 more answers

If A = -3 + 5i, B = 4 - 2i, and C = 1 +6i, where i is the imaginary unit, then A - BC equals

Maslowich

Answer:

3) -19 - 17i is our answer

Step-by-step explanation:

to solve A - BC we plug in the values given

A= -3 + 5i

B = 4 - 2i

C = 1 + 6i

-3 + 51i - (4 - 2i)(1 + 6i) is our expression. we can FOIL (4 - 2i)(1 + 6i) this expression out. FOIL stands for:

First

Outside

Inside

Last

i will highlight the terms i am using in the current step in bold and put the result next of those two terms next to the expression

F: (4 - 2i)(1 + 6i) = 4

O: (4 - 2i)(1 + 6i) = 24i

I: (4 - 2i)(1 + 6i) = -2i

L: (4 - 2i)(1 + 6i) = 12 < --- the reason why its 12 and not -12i or 12i is because <em>i</em> = √-1 and i² = -1

when we multiply -2i * 6i, we would have gotten a -12i², and i² = -1, so we are multiplying -12 by -1, which gives us 12 as the result

combining all these terms together and we have:

4 + 24i - 2i + 12

in the expression this is:

-3 + 5i - (4 + 24i - 2i + 12) < we need to distribute the negative sign into (4 + 24i - 2i + 12) and we now get:

-3 + 5i -4 - 24i + 2i - 12 < combine like terms (ex: i terms together)

-3 - 4 - 12 = -19

5i - 24i + 2i = -17i

the result of the expression is:

-19 - 17i

we cannot simplify this any further so this is our answer. the answer choice that matches this is 3, so 3) -19 - 17i is our answer

6 0

3 years ago