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Mekhanik [1.2K]
3 years ago
8

You draw two cards from a standard deck of 52 cards. What is the probability of drawing a club and then a diamond consecutively

from the deck without replacement?
Mathematics
2 answers:
maxonik [38]3 years ago
8 0

Answer:

C.13/204

Step-by-step explanation:

Multiply the two probabilities to find the compound probability.

P(club and diamond) = 13/52 × 13/51 = 13/204

BabaBlast [244]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Multiply the two probabilities to find the compound probability.

P(club and diamond) =

13

52

×

13

51

=

13

204

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Please help! i've tried to solve it but not getting the right answer
Nesterboy [21]

Answer:

Sorry I don't know this one, I got 5.32

Step-by-step explanation:

7 0
3 years ago
12.5% of $100 is<br> what number?
Westkost [7]

Answer:100$-100%               100*12.5=1250

                                                    1250/100=12.5

                 ?-12.5%

Step-by-step explanation:

7 0
3 years ago
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Help..idk how to do algabra. i didn't pay attention..
kotegsom [21]
Start with 3 one-by-one squares. This represents the '3' in 4t+3

Then draw 4 rectangles that are vertical or horizontal. Make sure the rectangle is longer than it is wide, or vice versa. The longer side is t units long (t is just a placeholder for a number). The shorter side is 1 unit long

The longer thin rectangles have an area of 1*t = t square units. Four of them represent t+t+t+t = 4*t = 4t
The small squares have an area of 1*1 = 1. Three of them represent 1+1+1 = 1*3 = 3

This is one possible way to draw it out. See the attached drawing. 

4 0
4 years ago
The product of two rational number is 7. If one of the number
FinnZ [79.3K]

Answer:

7/12 OR 0.58 (2.d.p)

Step-by-step explanation:

Product means that the two rational numbers are being multiplied to get 7.

The question also tells us that one of them is 12. Therefore we can write an equation to express this information where we represent the unknown rational number using the letter 'r':

r x 12 = 7

Rearrange to find r:

r x 12 / 12 = 7 /12

r = 7/12 = 0.5833....

= 0.58 (2.d.p)

Hope this helped!

7 0
3 years ago
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The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room
Alexandra [31]

Answer:

\bar x = 260.1615

\sigma = 70.69

The confidence interval of standard deviation is: 53.76 to 103.25

Step-by-step explanation:

Given

n =20

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

\bar x = \frac{\sum x}{n}

So, we have:

\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}

\bar x = \frac{5203.23}{20}

\bar x = 260.1615

\bar x = 260.16

Solving (b): The standard deviation

This is calculated as:

\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}\sigma = \sqrt{\frac{94938.80}{19}}

\sigma = \sqrt{4996.78}

\sigma = 70.69 --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

c =0.95

So:

\alpha = 1 -c

\alpha = 1 -0.95

\alpha = 0.05

Calculate the degree of freedom (df)

df = n -1

df = 20 -1

df = 19

Determine the critical value at row df = 19 and columns \frac{\alpha}{2} and 1 -\frac{\alpha}{2}

So, we have:

X^2_{0.025} = 32.852 ---- at \frac{\alpha}{2}

X^2_{0.975} = 8.907 --- at 1 -\frac{\alpha}{2}

So, the confidence interval of the standard deviation is:

\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} } to \sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }

70.69 * \sqrt{\frac{20 - 1}{32.852} to 70.69 * \sqrt{\frac{20 - 1}{8.907}

70.69 * \sqrt{\frac{19}{32.852} to 70.69 * \sqrt{\frac{19}{8.907}

53.76 to 103.25

8 0
3 years ago
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