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hram777 [196]
3 years ago
15

You are dealt one card from a​ 52-card deck. Find the probability that you are not dealt a card with number from 4 to 9

Mathematics
2 answers:
zaharov [31]3 years ago
7 0
Oh! Card math! Fun!!


Okay, so out of a 52-card deck of cards, we have 4 fours, 4 fives, 4 sixes, 4 sevens, 4 eights, and 4 nines. Together that is 24 cards. As stated in the problem, there are 52 cards in all. 52 - 24 = 28. This means that you have 28 cards that are <em>not </em>from 4 to 9. So your probability is 28/52 or 7/13.
Verizon [17]3 years ago
5 0
5/12 to #/52. So 21/52.
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3 years ago
Which is the inverse of the function f(x) = x - 9?АО1f-1(x) =x + 9B.f-'(x) = x + 9CO $-+(x) = 9 - *D.F-'-) =-X-9
kirill [66]

To solve for the inverse of the function given;

f(x)=x-9

We begin by re-writing the function as follows;

y=x-9

To now find the inverse, we interchange y for x, and vice versa, as shown below;

\begin{gathered} y=x-9 \\ \text{Now becomes;} \\ x=y-9 \end{gathered}

We now find the value of y;

\begin{gathered} x=y-9 \\ \text{Add 9 to both sides;} \\ x+9=y-9+9 \\ x+9=y \\ y=x+9 \\ \text{Therefore;} \\ f^{-1}(x)=x+9 \end{gathered}

ANSWER:

The correct answer is option B;

f^{-1}(x)=x+9

8 0
1 year ago
The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city. Write an expon
sukhopar [10]

Answer:

A = 236,000 (1+ 0.04)^9

335,902 people in 2009

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:  

A = P (1 + r) t  

Where:  

p = original population (in 2000)

r = growing rate (decimal form) = 4/100 = 0.04

t= years  

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Replacing with the values given:  

A = 236,000 (1+ 0.04) ^t

To find the population in 2009:

We have to calculate the number of years passed since 2000: (2009-2000 = 9 years =t)

Substituting t=9 in the function:

A = 236,000 (1+ 0.04)^9

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Feel free to ask for more if needed or if you did not understand something.  

3 0
3 years ago
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Dafna11 [192]

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3 years ago
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vovikov84 [41]

Answer:

1. The equation would be y = -2x + 9

Step-by-step explanation:

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5 0
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