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Mathematics

1 answer:

Natali5045456 [20]2 years ago

7 0

9514 1404 393

Answer:

300 g

Step-by-step explanation:

The problem statement tells us ...

36g = 0.12×d . . . . . where d represents the daily value

36g/0.12 = d = 300g . . . . divide by the coefficient of d

300 g of carbohydrates per day are recommended.

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The probability of rolling a number less than 3 on a number cube 2/6. Jennifer rolls a number cube 60 times how many times shoul

Savatey [412]

Answer:

20 times

Step-by-step explanation:

Given the following :

Probability of rolling a number less than 3 on a number cube:

Required outcome = (1, 2)

Total possible outcomes = (1, 2, 3, 4, 5, 6)

Required outcome / Total possible outcomes

= 2 /6

= 1/3

Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :

(Probability of obtaining a number less than 3 in one roll × number of rolls)

= (1 / 3) × 60

= 60 / 3

= 20 times

5 0

3 years ago

A and b are positive integers and a-b=2. Evaluate the following:<br> 9^1/2b/3^a

OlgaM077 [116]

Answer:

$\frac{1}{ 9 }$

Step-by-step explanation:

$\huge \frac{ {9}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ {( {3}^{2} )}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ { {3}}^{2 \times \frac{1}{2}b } }{ {3}^{a} } \\ \\ \huge = \frac{ {3}^{b} }{ {3}^{a} } \\ \\ \huge = \frac{1}{ {3}^{a - b} } \\ \\ \huge= \frac{1}{ {3}^{2} } \\ ( \because \: a - b = 2)\\ \\ \huge = \frac{1}{ 9 }$