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3 years ago

What is the probability that 2 cards selected from a standard deck of 52 cards without replacement are both non-face cards?

Mathematics

1 answer:

Orlov [11]3 years ago

5 0

Answer:

B. 0.588

Step-by-step explanation:

There are 40 non-face cards in the deck, so the probability of drawing the first one is 40/52. After doing that, the probability of drawing the second one is 39/51, since the number of non-face cards is 1 fewer, as is the size of the deck.

The joint probability is then ...

(40/52)·(39/51) ≈ 0.588

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Takeru only uses eggs for soufflés in his restaurant. He uses

statuscvo [17]

Question:

Takeru only uses eggs for soufflés in his restaurant. He uses 3 eggs per soufflé. Last week, he bought 4 times as many eggs as he baked soufflés. Takeru had 18 eggs left over.

How many eggs did Takeru buy and how many soufflés did he bake?

Answer:

Takeru bought 72 eggs and made 18 souffles

Step-by-step explanation:

Given:

Number of eggs per souffle = 3

Number of left over egg = 18

Number of eggs bought = 4 times as he baked soufflés

To find:

Number of many eggs did Takeru buy = ?

Number of souffles baked = ?

Solution:

Let x be number of souffles Takeru

Let y be number eggs

Then, the question says that he bought 4 times as many eggs as he baked souffles.

so the number of eggs

y = 4x----------------------------(1)

After making x souffles he is left with 18 eggs, and for making x souffle he uses 3x eggs ,so

Total eggs - eggs used to make x souffle = 18

y - 3x =18-------------------(2)

substituting (1) in (2)

4x - 3x = 18

x = 18--------------------------(3)

Substituting (3) in(1)

y = 4(18)

y = 72

6 0

3 years ago

I need help with the equation inserted in the picture.

sergij07 [2.7K]

Answer:

x = 4

-4x+21 => 5

Step-by-step explanation:

The given triangle in the picture is isosceles triangle which means that two sides of the triangle are equal.

So,

$Side\ 1: -4x+21\\Side\ 2: -4x+21\\Side\ 3: 6\\Perimeter = 16$

Now

Putting all the values in equation for perimeter

$Side\ 1+Side\ 2+Side\ 3 = 16\\-4x+21 -4x+21 + 6 =16\\-8x +48 = 16\\-8x = 16-48\\-8x = -32\\\frac{-8x}{-8} = \frac{-32}{-8}\\x = 4$

Putting x = 4 in side 1

$=-4(4)+21\\= -16+21\\=5$

Hence,

x = 4

-4x+21 => 5

4 0

3 years ago

A monkey collects 60 coconuts and wants to store them in stacks that each contain the same number of coconuts. Describe all the

VikaD [51]

Answer:

1 stack of 60

2 stacks of 30

3 stacks of 20

4 stacks of 15

5 stacks of 12

6 stacks of 10

60 stacks of 1

30 stacks of 2

20 stacks of 3

15 stacks of 4

12 stacks of 5

Prime Factorisation

$60=2^{2}*3*5$

Step-by-step explanation:

To find the number of stacks you can make just divide the total by the size of the stacks. This also works in reverse.

To find the prime factorisation you just find the factors of the number by dividing it by the largest prime possible.

6 0

4 years ago

Where are my taurus’s At??

lozanna [386]

Answer:

im a scorpio but my sister in law is a taurus... :)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Barney & Noblet customers can choose to purchase a membership for $25 per year Members receive 10% off all store purchases

Law Incorporation [45]

Answer:

$70
y = 25 + 0.9x
$250

Step-by-step explanation:

1. 10% of $50 is $5, so the purchases would come to $50 -5 = $45. Added to the $25 membership fee, the total cost for the year would be

$45 +25 = $70

2. The member pays $25 even if no purchases are made. Then any purchases are 100% - 10% = 90% of the marked price. So, the total is ...

y = 25 + 0.90x

3. $25 is 10% of $250, so that is the amount the member would have to purchase to break even on cost.

If you like, you can compare the cost without the membership (x) to the cost with the membership (25+.9x) and see where those costs are equal.

x = 25 +0.9x . . . . . x is the spending level at which there is no advantage

0.1x = 25 . . . . . . . . subtract 0.9x

25/0.1 = x = 250 . . . divide by 0.1

4 0

3 years ago