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Charra [1.4K]
2 years ago
5

Suppose that a fair, 6 sided die is rolled. Let X indicate the event that an even number is rolled (in other words, X = 1 if an

even number is rolled and X = 0 otherwise). Let Y indicate the event that 2, 3, or 4 is rolled (in other words, Y = 1 if 2, 3, or 4 is rolled and Y = 0 otherwise). Find P (X = 0, Y = 1).
Mathematics
1 answer:
Sindrei [870]2 years ago
4 0

Answer: 1/2, 1/2

Step-by-step explanation:

A die has 6 faces.

Total number of faces = 6

Possible outcomes are :1,2,3,4,5,6

Even numbers : 2, 4, and 6 = 3

Non even numbers: 1,3,and 5= 3

First statement:

P(Even number) = 3/ 6 = 1/2

P(X=1) = 1/2

P(odd number) = 3/6 = 1/2

P(X=0) = 1/2

Second statement:

P(2) = 1/6

P(3) = 1/6

P(4) = 1/6

P(2 or 3 or 4) = (1/6) + (1/6) + (1/6)

P(2 or 3 or 4) = (1+1+1)/6 = 3/6 =1/2

Thus,

P(Y=1) = 1/2

Therefore,

P(X =0,Y=1) = 1/2, 1/2

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MissTica
You divide 26 by 6, and you get 4 1/3, so I guess Montel will need 5 pages.
6 0
2 years ago
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Last year Lenny had an annual earned income of $58,475. He also had passive income of $1,255, and capital gains of $2,350. What
Lelechka [254]

<u>Answer:</u>  d. $62,080

<u>Step-by-step explanation:</u>

<u></u>

The capital gain is the profit earned from an investment whereas the passive income is the income generated by very minimal daily efforts.

Given: Annual income earned by Lenny = \$58,475

Passive income =  \$1,255

Capital gain =  \$2,350

Now,  \text{Total gross income =Annual income+Passive income+Capital gain}

=\$58,475+\$1,255+\$2,350=\$62,080

Hence, Lenny's total gross income for the year = $62,080

4 0
1 year ago
Read 2 more answers
Two triangles are similar with a scale factor of 3. The preimage triangle has a base of 7 inches and a height of 10 inches. What
vaieri [72.5K]

Answer:

<u>The area of the larger triangle is 315 inches²</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the questions properly:

Pre-image triangle has a base of 7 inches and a height of 10 inches

Scale used : Factor of 3

2. What is the area of the larger triangle??

For calculating the area of the larger triangle, we use the scale this way:

Base = 7 inches * 3

21 inches

Height = 10 inches * 3

30 inches

Area of the larger triangle = 1/2 (Base * Height)

Area of the larger triangle = 1/2 (21 * 30)

<u>Area of the larger triangle = 630/2 = 315 inches²</u>

6 0
2 years ago
A length is measured as 21cm correct to 2 significant figures. what is the upper bound for the length?​
Leno4ka [110]

the upper bound for the length is  21.5  cm .

<u>Step-by-step explanation:</u>

Lower and Upper Bounds

  • The lower bound is the smallest value that will round up to the approximate value.
  • The upper bound is the smallest value that will round up to the next approximate value.

Ex:- a mass of 70 kg, rounded to the nearest 10 kg, The upper bound is 75 kg, because 75 kg is the smallest mass that would round up to 80kg.

Here , A length is measured as 21cm correct to 2 significant figures. We need to find what is the upper bound for the length . let's find out:

As discussed above , upper bound for any number will be the smallest value in decimals which will round up to next integer value . So , for 21 :

⇒ 21.5  cm

21.5 cm on rounding off will give 22 cm . So , the upper bound for the length is  21.5  cm .

7 0
2 years ago
a garden plot is to contain 240 sq. ft. if its length is to be 3 times its width,what should its dimensions be?
Nastasia [14]
W^2=80
W SQRT80
W=8.94 ANS.FOR THE WIDTH
L=3*8.94=26.83 ANS.FOR THE LENGTH
PROOF:
240=8.94*26.83
240=240

3 0
2 years ago
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