if,
p/x=x/q
then cross-multiplying gives <span>x^2=pq</span>
<span>x^2=pq</span>. Taking the square root of both sides, we get <span>x=√pq</span> as the geometric mean of p and q.
Hence in the given question the product of p and q is 8.
so,
x=√8
x=2√2
The value of P(R = 3) is 0.2854
<h3>Probability</h3>
Probabilities are used to determine the chances of events.
The given parameters are:
--- the number of slots
. --- the number of red slot
. --- the number of black slot
. --- the number of green slot
<h3>Individual probabilities</h3>
The probability that the ball lands on a red slot is calculated as:

Simplify

The probability that the ball does not land on a red slot is calculated as:


Simplify

<h3>
Binomial probability</h3>
The value of P(R = 3) is then calculated using the following binomial probability formula

Where:


So, we have:



Hence, the value of P(R = 3) is 0.2854
Read more about probabilities at:
brainly.com/question/15246027
<u>Answer:</u><u> </u><u>3</u><u>4</u><u> </u><u>m</u><u>o</u><u>r</u><u>e</u><u> </u><u>p</u><u>o</u><u>u</u><u>c</u><u>h</u><u>e</u><u>s</u>
7 boxes - fish food; 1 box contained 6 pouches
Total amount of fish food is 7 × 6 = 42 pouches of fish food
2 packets - cat food; 1 packet contained 4 pouches
Total amount of cat food is 2 × 4 = 8 pouches
How many more pouches of fish food than cat food did Shelly buy?
42 pouches - 8 pouches = 34 pouches
Therefore there was 34 more pouches of fish food than cat food
Answer:
1,566,630
Step-by-step explanation:
1854*845=1,566,630
-(1/2)p<-16
Divide both sides by the coefficient of p. Flip the inequality sign because you are dividing a negative number.
p>32
Final answer: A