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STALIN [3.7K]
2 years ago
6

Seven cards are face-down on a table. Each of the cards has exactly one of the numbers 1, 2, 4, 6, 7, 8 and 10 facing down. No t

wo cards have the same number on it. Two cards are randomly selected and turned over. What is the probability that their sum is a multiple of 3? [Express your answer as a fraction in lowest terms]
Mathematics
1 answer:
Zarrin [17]2 years ago
3 0
Which of the following individuals may be required to undergo HIV testing? a) Employees of a small business with limited health insurance resources b) A technician at an HIV testing lab c) A convicted sex offender d) A nurse applying for a job at a hospital
You might be interested in
Evaluate the iterated integral. $$ \int\limits_0^{2\pi}\int\limits_0^y\int\limits_0^x {\color{red}9} \cos(x+y+z)\,dz\,dx\,dy $$
KengaRu [80]
\displaystyle\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\int_{z=0}^{z=x}\cos(x+y+z)\,\mathrm dz\,\mathrm dx\,\mathrm dy=\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\sin(x+y+z)\bigg|_{z=0}^{z=x}\,\mathrm dx\,\mathrm dy
\displaystyle=\int_{y=0}^{y=2\pi}\int_{x=0}^{x=y}\sin(2x+y)-\sin(x+y)\,\mathrm dx\,\mathrm dy
\displaystyle=\int_{y=0}^{y=2\pi}-\frac12\left(\cos(2x+y)-2\cos(x+y)\right)\bigg|_{x=0}^{x=y}\,\mathrm dx\,\mathrm dy
\displaystyle=\int_{y=0}^{y=2\pi}-\frac12\left((\cos3y-2\cos2y)-(\cos y-2\cos y)\right)\bigg|_{x=0}^{x=y}\,\mathrm dy
\displaystyle=-\frac12\int_{y=0}^{y=2\pi}(\cos3y-2\cos2y+\cos y)\,\mathrm dy
\displaystyle=-\frac12\left(\frac13\sin3y-\sin2y+\sin y\right)\bigg|_{y=0}^{y=2\pi}
=0
4 0
3 years ago
What divides a two dimensional shape into two congruent shapes​
zaharov [31]

Answer:

Rectangle is a 2dimensional shape so, let me explain using it

The diagonal of a rectangle divides the rectangle into two triangles that are congruent and they are the same size and shape.

Another example is parallelogram

The diagonal of a parallelogram also divides the figure into two triangles that are congruent.

Step-by-step explanation:

6 0
3 years ago
A survey of 600 randomly selected high school students determined that 290 play organized sports. what is the probability that a
blsea [12.9K]

Answer:

29/60

Step-by-step explanation:

probability of playing is 290/600 which when simplified is29/60

5 0
1 year ago
Simplify the expression. <br> −9(−2 − 8) + (−16) −8
Xelga [282]

Answer:

66

Step-by-step explanation:

Open the parentheses, 18 + 72 - 16 - 8 = 66

7 0
2 years ago
Read 2 more answers
What answer i need fast
irina [24]

2/3 cup pineapple for every 1/3 cup OJ

 there are three 1/3 cups in 1 cup

 so multiply 2/3 by 3


 2/3 * 3 = 6/3 = 2

 2 cups of pineapple juice is needed


5 0
2 years ago
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