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frez [133]
3 years ago
14

You have a standard deck of 52 playing cards and draw out a single card at random. What is the chance of picking out a nine? Wri

te your answer as a fraction in its lowest terms.
Mathematics
1 answer:
motikmotik3 years ago
5 0

There are 9 number cards from 2 to 10 in a deck of cards.

(2-10) has one 9

(2-10) has one 9

(2-10) has one 9

(2-10) has one 9

There are 4 nines in a deck of 52 cards. We know that 4 x 9 = 36.

The chance or probability of taking out a 9 is (36/52).

Reducing this fraction to the lowest terms we get 9/13.

You might be interested in
According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 20
Murljashka [212]

Answer:

There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1432

p = 23% = 0.23

Alpha, α = 0.05

Number of theft complaints , x = 321

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.23\\H_A: p < 0.23

This is a one-tailed test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{321}{1432} =0.2241

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.2241-0.23}{\sqrt{\frac{0.23(1-0.23)}{1432}}} = -0.5305

Now, we calculate the p-value from the table.

P-value = 0.298

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.

5 0
2 years ago
What is the solution of 3+ x-2/x-3&lt;_4
Ymorist [56]

Answer:

x≤2−√6 or 0<x≤2+√6

5 0
3 years ago
3+12x5/(5+15) What’s the answer
r-ruslan [8.4K]

\bf 3+12\times \cfrac{5}{(5+15)}\implies 3+12\times \cfrac{5}{\underset{\uparrow }{20}}\implies 3+12\times \cfrac{1}{4}\implies 3+\cfrac{\stackrel{\downarrow }{12\times 1}}{4} \\\\\\ 3+\cfrac{12}{4}\implies 3+\stackrel{\downarrow }{3}\implies 9

3 0
3 years ago
Read 2 more answers
Graph the line with slope -3 passing through the point (5,1) .
hichkok12 [17]

Answer:

we know that,

y-y1=m(x-x1)

or, y-1=-3(x-5)

or, y-1=15-3x

or 3x+y-16=0 is the required equation

3 0
2 years ago
A chef uses 8 1/2 cups flour for his gig nine 3/4 cup flour for his pies and 25 2/3 cups flour for his bread will he have any fl
katen-ka-za [31]

Answer:

50-25 2/3 - 9 3/4 - 8 1/2 = 6 1/12

Step-by-step explanation:

To do this without a calculator you need to get common denominator

a good choice would be 12 for the common denominator

50 x 12 = 600

25 x 12 = 300

convert to 2/3 to x/12, multiply top and bottom by 4

2/3 x 4 = 8/12

add this to the 300 to get 308/12

same with the other terms

9 x 12 = 108

convert 3/4 to x/12, multiply top and bottom by 3

3/4 x 3 = 9/12

add this to the 108 to get 117/12

and do the same for the 8 1/2

8x 12 = 96

convert 1/2 to x/12, multiply top and bottom by 6

1/2 = 6/12, add this to the 96

do the subtraction and simplify

8 0
3 years ago
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