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2 years ago

Use a common denominator 1/6 7/10

1 answer:

5 0

Are you looking for the least common denominator?!

If so the LCD is 30 .

If your looking to divide, multiply, simplify, or even evaluate this , it’s : 7/60

Please mark me BRAINLEST.

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If three prime numbers are randomly selected from the prime numbers less than 30 and no prime number can be chosen more than onc

Dmitry [639]

Answer:

C)30%

Step-by-step explanation:

Prime numbers less than 30 are given below

2,3,5,7,11,13,17,19,23,29

We have to find the probability that sum of three prime numbers selected will be even.

We know that

Sum of any three prime number except 2 will be odd.

Total prime numbers except 2=9

Total prime numbers=10

Probability:P(E)= $\frac{favorable\;cases}{total\;number\;of\;cases}$

Probability of getting sum of three prime numbers selected will be odd= $\frac{9C_3}{10C_3}$

$nC_r=\frac{n!}{r!(n-r)!}$

By using formula

Probability of getting sum of three prime numbers selected will be odd=P(E)= $\frac{\frac{9!}{3!6!}}{\frac{10!}{3!7!}}=\frac{9!}{3!6!}\times \frac{3!\times 7\times 6!}{10\times 9!}$

Probability of getting sum of three prime numbers selected will be odd=P(E)= $0.7$

Probability of getting sum of three prime numbers selected will be even=P(E')=1-0.7=0.3= $0.3\times 100=30$ %

By using formula P(E')=1-P(E)

3 0

2 years ago

There are 60 players on a high school football team. The ratio of juniors and seniors to freshmen and sophmores on the team is 2

nata0808 [166]

You know that the ratio of J&S to F&So is 2:3. You need two numbers that have that same ratio to total 60 players. When you multiply both numbers by 12, you have a ratio of 2:3 but the number of players is 24 to 36. Thus, the total players is 60. When looking at the ratio of Juniors to Seniors, the ratio remains 1:2, but must total 24 players. Dividing the total players by 3, you can find where 1 part of the players equals 2 parts of the others. Keeping that same ratio in mind, you are able to calculate that the ratio of Juniors to Seniors is 8:16 but when reduced, still remains a 1:2 ratio.

7 0

2 years ago

Read 2 more answers

the are of a rectangular tablecloth is 4 1/6 square meters. the width of the tablecloth is 1 1/4 meters. what is the length of t

shtirl [24]

3 1/3 is the length of the table cloth

4 0

3 years ago

2605 rounded to the nearest hundred

Fittoniya [83]

It would round to 2600

8 0

2 years ago

A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin

Georgia [21]

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points $X(x_1,y_1)\ and\ Y(x_2,y_2)$ is:

$|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Hence:

$|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5$

3 0

3 years ago