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Nutka1998 [239]
3 years ago
10

If a letter is chosen at random from the word ARIZONA, what is the probability of choosing an A? A. 1/7 B. 2/7 C. 4/7 D. 5/7 Ple

ase select the best answer from the choices provided A B C D
Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

B.

2/7

There are 2 A's out of 7 letters in total...

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Explain how you would solve for the value of x when you are given the solution to a function.
Svetlanka [38]

Answer:

Substitute

Step-by-step explanation:

Substitute the values given in the function

and you will get the answer.

P.s. It depends on the question

3 0
3 years ago
Two ballpoint pens are selected at random from a box that contains 3 blue pens, 2 red pens, and 3 green pens. If X is the number
Flauer [41]

Answer:

a) f(x,y) =\frac{\binom{3}{x}\binom{2}{y}\binom{3}{2-x-y}}{\binom{8}{2}} ;   x = 0, 1 , 2;  y = 0, 1 , 2; 0 ≤ x+y ≥ 2

b) = \frac{9}{14}

Step-by-step explanation:

joint probability is a function that characterizes the distribution of a random variable. If X and Y be two random variables then the joint probability will be P(X = x, Y=y)

Given Data,

X = The number of blue Pens

Y = The number of red Pens

a)

possible outcomes(X, Y) are (0, 0), (0, 1), (1, 0), (1, 1), (0, 2), (2,0)

Please refer fig. also

total number ways of selecting any 2 pens = \binom{8}{2}= \frac{8!}{2! 6!} =28

f(x,y) = \frac{\binom{3}{x}\binom{2}{y}\binom{3}{2-x-y}}{\binom{8}{2}} ;   x = 0, 1 , 2;  y = 0, 1 , 2; 0 ≤ x+y ≥ 2

b)

P(X,Y)∈A = P(X + Y ≤ 1)

= P(0,0) + P(1,0) + P(0,1)

= \frac{3}{28} + \frac{3}{14} + \frac{9}{28}

= \frac{9}{14}

4 0
3 years ago
I need help on this one please
saw5 [17]

Answer:

B

Step-by-step explanation:

When looking at the number line, we can see the distance between A and B is one unit

A |-2| + |-1| = 2+1 =3    That is not 1 unit

B 2-1  =1  that is  1 unit

C  -2 + -1 = -3  that is not 1 unit

D  |-1| - (-2) = 1 + 2 =3  that is not 1 unit

Even though it says all expressions,  there is only 1 that shows a distance of 1 unit

6 0
3 years ago
The landing restuarant order 200 flowers for mother day.the orderd carnation at 1.50$,Rose's at 5.75$and the daisies at 2.60$ ea
Vanyuwa [196]

Answer:

She ordered 80 carnations, 50 roses, and 70 daisies.

Step-by-step explanation:

Let x = number of carnations, y = number of roses, and z = number of daisies.  This problem gives us three equations.

 

First, remember that we multiply the price of each flower by the number bought then add up the subtotals, that gives the total amount paid.

Therefore,

1.50x + 5.75y + 2.60z = 589.50

 

Second, the sum of the numbers purchased is the total bought. Therefore,

x + y + z = 200

 

Finally, there are 20 fewer roses than daisies. Therefore,

y = z - 20

 

If you substitute z - 20 in for y in the first two equations, you can rewrite them so they only have x and z.

 

1.50x + 5.75(z - 20) + 2.60z = 589.50

1.50x + 5.75z - 115 + 2.60z = 589.50

1.50x + 8.35z = 704.50

 

x + (z - 20) + z = 200

x + 2z - 20 = 200

x + 2z = 220

 

If you solve the rewrite second equation for x, you get x = 220 - 2z.  Therefore, you can substitute 220 - 2z in for x in the rewritten first equation, and then solve for z.

 

1.50 (220 - 2z) + 8.35z = 704.50

330 - 3z + 8.35z = 704.50

330 + 5.35z = 704.50

5.35z = 374.50

z = 70

 

If you have z = 70, then x = 220 - 2(70) = 80 and y = 70 - 20 = 50.

 

She ordered 80 carnations, 50 roses, and 70 daisies.

*HOPE THIS HELPED!!! :D)

4 0
3 years ago
Hi guys can you help me can you do this calculation with the working pls<br>$36 - $17.85 = ​
d1i1m1o1n [39]

Answer:

$18.15

Step-by-step explanation:

Here, we want to find the difference between the two values

what we do here simply is to subtract the second from the first

Mathematically we have this as;

36-17.85 = $18.15

3 0
2 years ago
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