Step: 1

The two events are independent events.

Step: 2

Numbers greater than 1 on 1^{st} die are 2, 3 and 4, which are 3 in number.

Step: 3

Numbers less than 7 on 2^{nd} die are 1, 2, 3, 4, 5 and 6, which are 6 in number.

Step: 4

P(number > 1 on 1^{st} die = Number of favorable outcomes / Total number of possible outcomes = 3 4

Step: 5

P(number < 7 on 2^{nd} die = Number of favorable outcomes / Total number of possible outcomes = 6 10

Step: 6

P(number > 1 on 1^{st} die number < 7 on 2^{nd} dice) = P (number > 1 on 1^{st} dice) x P (number < 7 on 2^{nd} dice)

Step: 7

= 3 4 x 6 10 = 9 20

[Substitute and multiply.]

Step: 8

Probability that the outcome of the 1^{st} die is a number greater than 1 and the outcome of the 2^{nd} die s a number less than 7 is 9 20 .

Correct Answer is : 9 20

Step: 1

The word name for the number 24,527 is twenty four thousand five hundred twenty seven.

Correct Answer is : twenty four thousand five hundred twenty seven

Step: 1

A plant grows at the rate of 2 inches per month.

[Given.]

Step: 2

Number of months in a year = 12

Step: 3

Number of inches the plant will grow in a year = 2 × 12 = 24

Correct Answer is : 24 inches

Step: 1

Growth of grass in 1 week = 2 inches

Step: 2

Time taken for the grass to grow by 1 feet = 1 2 × 12 = 6 weeks.

Correct Answer is : 6 weeks

Step: 1

Step: 2

[x is increased by 9.]

Step: 3

= 2x + 18 + 10

Step: 4

= (2x + 10) + 18 = y + 18

Step: 5

Correct Answer is : y will increase by 18

Step: 1

Step: 2

[x becomes doubled times the original value.]

Step: 3

Step: 4

So, when x is doubled, y is also doubled.

Correct Answer is : the value of y is doubled

Step: 1

The rate of change of speed for Carlos is greater than the rate of change of speed of Maria.

Step: 2

It is known that the graph with greater rate of change will be steeper.

Step: 3

So, the graph of Carlos walk will be steeper.

Correct Answer is : Graph of Carlos walk will be steeper

Number of days | 1 | 2 | 3 | 4 |

Rent for CDs | $2.00 | $2.75 | $3.50 | $4.25 |

Step: 1

The table indicates an amount of $0.75 increase for every additional day.

Step: 2

So, the table best suits the statement 'Rental for CD for every additional day increases by $0.75'.

Correct Answer is : Rental for CD for every additional day increases by $0.75.

Step: 1

Step: 2

[x is doubled.]

Step: 3

= 12x

= double the original value ofy

= double the original value of

Step: 4

So, when x is doubled, y is also doubled.

Correct Answer is : y will be doubled

Step: 1

Step: 2

[x is doubled.]

Step: 3

= 202x

= double the original value ofy

= double the original value of

Step: 4

When x is doubled, y is also doubled.

Correct Answer is : y will be doubled

Step: 1

Step: 2

[x becomes 3 times the original value.]

Step: 3

Step: 4

So, when x is tripled, y is also tripled.

Correct Answer is : the value of y is tripled

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