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3 years ago

Here is a table showing all 52 cards in a standard deck.

Mathematics

2 answers:

Gnom [1K]3 years ago

8 0

Answer:

a) The probability that a card drawn is a heart is 1 out of 4.

b) The probability that a card drawn is a face card is 3 out of 13.

c) The probability that a card drawn is either a face or a heart card is 11 out of 26.

Step-by-step explanation:

a) This question asks your ability to examine that from the total number of cards, what is the random probability that you'll pull out a heart card. That should be 13/52, and simplified, it is 1/4.

b) This question asks your ability, like in a), to examine the probability of pulling a face card out of all the cards, which is 12/52 or 3/14.

c) From all the cards, 13 are hearts and 12 are face cards. But of the 12 face cards, 3 are hearts, so we only have 9, giving us 22/52, simplify it, you get 11 out of 26.

Black_prince [1.1K]3 years ago

4 0

A) 13/52 which is 1/4
b) 12/52 which is 3/13
c) 22/52 which is 11/26

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Janice listed the integers below on the chalkboard. Which of these integers has the greatest opposite? 1, –6, 11, –10, –8, 9, 5

muminat

-10 because its a negative and that's the opposite of the greatest itreger

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3 years ago

Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

mylen [45]

Answer:

$x=119119,\;\;\;y=119119$

Step-by-step explanation:

Let the $x$ be the first number, $y$ be the second number and $p$ be the product of the first and second number.

i.e $x+y=238238$ $\Rightarrow x=238238-y$

$p=xy$

$\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2$

$\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119$

Now,

$x=238238-119119\\\\ \Rightarrow x=119119$

Hence, $x=119119,\;\;\;y=119119$

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2 years ago

Which clock shows 2:08?

olga2289 [7]

Answer:

first one

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the square root of 248 + square root of 63

enyata [817]

Answer:

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Step-by-step explanation:

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3 years ago

The distance d, in centimeters, that a diving board bends below its resting position when you stand at its end is dependent on y

kaheart [24]

Answer:

d(1) = -3 and d(2)= -28

Step-by-step explanation:

Given that the distance d, in centimeters, that a diving board bends below its resting position when you stand at its end is dependent on your distance x, in meters, from the stabilized point

$d(x)=-4x^3+x^2$

For finding out the distances for x=1 and x=2

let us substitute 1 and 2 for x

$d(1) = -4(1^3)+1^2 = -3$

$d(2) = -4(2^3)+2^2 \\= -28$

d(1) = -3 and d(2)= -28

3 0

3 years ago