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N76 [4]
2 years ago
6

Ethan rolls a 6-sided number cube. What is the probability that he gets a number greater than 2?

Mathematics
2 answers:
Vikki [24]2 years ago
6 0
D.
This is because the probability of getting a number greater than 2 is 4/6.
Therefore, simplifying the expression gives us the fraction 2/3.
posledela2 years ago
6 0

Answer: D.  \frac{2}{3}.

Step-by-step explanation:

When we rolls a 6-sided number cube., the total outcomes would be 6.

The number of cube greater than 2 = (3,4,5,6)=4

Therefore, the probability that he gets a number greater than 2 is given by :-

P(\text{Greater than 2})=\frac{\text{Number greater than 2}}{\text{Total number}}\\\\=\frac{4}{6}=\frac{2}{3}

Hence, the probability that he gets a number greater than 2 is \frac{2}{3}.

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The angle measures associated with which set of ordered pairs share the same reference angle
Trava [24]

Answer:

Option 3 is right.

Step-by-step explanation:

Reference angle of x is obtained by either 180-x, 180+x. or 360-x depending on the posiiton of terminal whether II quadrant or iv quadrant, or iii quadrant, etc.

In whatever way we find reference angles,

cos will remain cos only and sin will remain sin only there may be only changes in sign.

Of all the ordered pairs given, we find that I, II, and Iv there is a switch over form cos to sine and sin to cos.  Hence these options cannot be for reference angles.

III option is (-\frac{1}{2} ,\frac{-\sqrt{3} }{2} )(\frac{1}{2} ,\frac{\sqrt{3} }{2} )

show that both sign and cos changed sign.  This is possible only in III quadrant.

ie reference angle of orignal angle t = 180+t

SO this option is right.

7 0
1 year ago
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Emily collected $950 selling Girl Scout cookies all day Saturday. Emily's troop collected 10 times as much as she did. How much
LuckyWell [14K]
Since the troop made 10 times her then you multiply 950 by 10 and that will give you 9510
6 0
2 years ago
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Imagine you have a data set with 9,987 names. The data set is sorted alphabetically. You want to find out if the name "David Joy
REY [17]

Answer:

  1

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6 0
1 year ago
Figure ABCD is transformed to obtain figure A'B'C'D': A coordinate grid is shown from negative 6 to 6 on both axes at increments
nika2105 [10]

Given:

Vertices of ABCD are A(-4,4), (-2,2), C(-2,-1) and D(-4,1).

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To find:

The sequence of transformations that changes figure ABCD to figure A'B'C'D'.

Solution:

Part A:

The figure ABCD reflected across the x-axis, then

(x,y)\to (x,-y)

Using this rule, we get

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Similarly, the other points are B_1(-2,-2),C_1(-2,1),D_1(-4,-1).

Then figure translated 7 units right to get A'B'C'D'.

(x,y)\to (x+7,y)

A_1(-4,-4)\to A'(-4+7,-4)=A'(3,-4)

Similarly, the other points are B'(5,-2), C'(5,1),D'(3,-1).

Therefore, the figure ABCD reflected across the x-axis and then translated 7 units right to get A'B'C'D'.

Part B:

Reflection and translation are rigid transformation, it means shape and size of figures remains same after reflection and translation.

Therefore, the two figures congruent.

8 0
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Answer:

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