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Masja [62]
2 years ago
8

a single die is rolled one time. find the probability of rolling a number greater than 5 or less than 3

Mathematics
2 answers:
PolarNik [594]2 years ago
8 0
<span>greater than 3 AND less than 5, the intersection of the two sets is 4 and the probability of rolling a 4 is 1/6.</span>
g100num [7]2 years ago
5 0
I believe the answer is 3/6

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On a coordinate plane, point A is at (3, 3) and point B is at (negative 3, 3). Point B is the image of point A when A is rotated
Vladimir [108]

Answer:

Point B must be at the same distance from the the origin as point A.

Step-by-step explanation:

Coordinates of point A = (3, 3)

When point A is rotated 90° counterclockwise around the origin, coordinates of the new point B will be (-3, 3)

Distance from origin to point A = \sqrt{(3)^{2}+(3)^2}=3\sqrt{2}

Similarly, distance of point B from the origin = \sqrt{(3)^{2}+(3)^2}=3\sqrt{2}

Therefore, distances of both the points from the origin are same.

Point B must be at the same distance from the the origin as point A.

7 0
3 years ago
Shannon is paid £1150 a month after deductions.what is her net annual salary?(a year=12 months )
-Dominant- [34]

Answer:

£13800

Step-by-step explanation:

1150*12=£13800

6 0
3 years ago
Read 2 more answers
Nineteen less than 6 times a number is the same as 16 more than the number. The equation is The solution is x -7 7.​
Crank

Answer:

The number is 7

Step-by-step explanation:

let the said number be x

Nineteeen less than 6 times a number;

6x - 19

equals; 16 more than the number; this is 16 + x

Thus;

6x - 19 = 16 + x

6x-x = 16 + 19

5x = 35

x = 35/5

x = 7

3 0
3 years ago
Given two angles in each triangle, how can you determine if two triangles are similar?​
goldenfox [79]

Answer:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Step-by-step explanation:

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7 0
2 years ago
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A and B working together can do a work in 6 days. If A takes 5 days less than B to finish the work, in how many days B alone can
svetlana [45]

Answer:

15 days

Step-by-step explanation:

Let x be the number of days needed for B to complete the job. Then x-5 is the number of days needed for A to complete the job.

In 1 day,

  • A completes \dfrac{1}{x-5} of all work;
  • B completes \dfrac{1}{x} of all work.

Hence, in 1 day both A and B complete \dfrac{1}{x-5}+\dfrac{1}{x} of all work. A and B working together can do a work in 6 days. Then

6\cdot \left(\dfrac{1}{x-5}+\dfrac{1}{x}\right)=1.

Solve this equation:

\dfrac{6x+6x-30}{x(x-5)}=1,\\ \\12x-30=x^2-5x,\\ \\x^2-17x+30=0,\\ \\D=(-17)^2-4\cdot 30=289-120=169=13^2,\\ \\x_{1,2}=\dfrac{17\pm 13}{2}=2,\ 15.

If x=2, then x-5=-3 that is impossible. So, B needs 15 days to complete the work alone.

6 0
2 years ago
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