Solve the equation. 2x - 8(x+1)= 6(2x - 3)

Mathematics

1 answer:

Flura [38]4 years ago

6 0

ANSWER
$x = \frac{5}{9}$

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Find the missing side in the right triangle, Round to the nearest tenth.<br><br> please help

Karolina [17]

Answer:

17.0

Step-by-step explanation:

right angle with angles 45, 45 and 90

SOHCAHTOA

cos 45 = A/H

Cos 45 = 12/r

r= 12/cos 45

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5 0

3 years ago

There are 16 kids on a soccer team. The players are either boys or girls, and they either prefer playing offense or defense. The

Mariana [72]

Answer:

$P(B|A)=\frac{2}{7}$

Step-by-step explanation:

The probability of $P(B|A)$ can be read as the probability of event B occurring given event A. In this question, event A occurs when the chosen player is a girl. There are 7 girls on the soccer team. Event B occurs when the chose player plays defense. Since $P(B|A)$ stipulates that event A already occurred, we want the probability of choosing a player who prefers defense from the 7 girls. There are 2 girls who prefer defense, hence $P(B|A)=\boxed{\frac{2}{7}}$ .

<u>Alternative:</u>

For dependent events $A$ and $B$ , the conditional probability of event B occurring given A is given by:

$P(B|A)=P(B\cap A)\div P(A)$

$P(B\cap A)$ indicates the intersection of $P(B)$ and $P(A)$ . In this case, it is the probability that both events occur. Since there are 16 kids on the soccer team and only 2 are girls and prefer defense, $P(B\cap A)=\frac{2}{16}=\frac{1}{8}$ . The probability of event A occurring (chosen player is a girl) is equal to the number of girls (7) divided by the number of kids on the team (16), hence $P(A)=\frac{7}{16}$ .