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coldgirl [10]
2 years ago
6

Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an

d flips a head?
Mathematics
2 answers:
Lera25 [3.4K]2 years ago
6 0

Answer:

1/12

Step-by-step explanation:) on ED

kap26 [50]2 years ago
3 0

Answer: 0.083


Step-by-step explanation:

Numbers on cube=6

faces on coin=2

Therefore, the total outcomes=6\times2=12

Now, the favorable outcome that he rolls a 4 and flips a head=1

The probability that he rolls a 4 and flips a head=\frac{\text{favorable outcome}}{\text{total outcome}}

⇒The probability that he rolls a 4 and flips a head=\frac{1}{12}=0.083333\approx0.83.

Therefore, The probability that he rolls a 4 and flips a head=0.083

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Ella completed the following work to test the equivalence of two expressions. '
Romashka [77]

Answer:

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

Step-by-step explanation:

<u>Equivalent algebraic expressions </u> are those expressions which on simplification give the same resulting<u> expression.</u>

Two algebraic <u>expressions</u> are said to be equivalent if their values obtained by substituting any values of the variables are same.

Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,

3f+2.6=3.1+2.6=3+2.6=5.6

2f +2.6=2.1+2.6=2+2.6=4.6

5.6≠   4.6

Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.

3f+2.6=2f+2.6

3f=2f

3f-2f=0

f=0

This is true only when f=0.

Hence,

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

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