Hello from MrBillDoesMath!
Answer:
Number marbles >= 5
Discussion:
The only certain thing we can say is the jar contains at least 5 (green) marbles. The table shows probabilities, not certainties, and is no guarantee that any other marbles even exist in the jar,
Thank you,
MrB
Answer:
60 pounds
Step-by-step explanation:
Let the normal price be p. The "25%-off" sale price is then 0.75p, and this 0.75p equals 45 pounds. Dividing both sides by 0.75 results in p = 60 pounds.
Answer:
The correct option is C.
C) -x + 2
Step-by-step explanation:
In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.
Here in this case, the dividend is written.
-x² x x
which in the equation form is written as
-x² + x + x
add the x terms to simplify
-x² + 2x
The divisor is given as x, divide the equation by x:
(-x² + 2x)/x
(-x²/x) + (2x/x)
-x+2
Which is the quotient.
Answer:
P (X ≤ 4)
Step-by-step explanation:
The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes. It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.
The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.
To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.
The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)
Therefore, the probability of x<4 successes is P (X ≤ 4)
Answer:
Step-by-step explanation:
b.) cos((π/2)-Ф)=-3/5 is true because :
cos((π/2)-Ф)= sin(Ф)
