Answer:
(a) The probability distribution is valid.
(b) The histogram is attached below.
(c) The mean is 33.47.
Step-by-step explanation:
(a)
A probability distribution is valid if:
- P (X = x) ≥ 0 for all values of <em>x</em>.
- ∑ P (X = x) = 1
From the probability distribution table it can be seen that the probability for all <em>x</em> is greater than 0.
Compute the sum of all probabilities as follow:
Thus, the probability distribution is valid.
(b)
The histogram is attached below.
(c)
The formula of mean of a discrete probability distribution is:
Compute the mean as follows:
Thus, the mean is 33.47.
Answer:
32°
Step-by-step explanation:
Since the 147° angle and ∠2 form a Linear pair, sum of these angle must be 180°
147° + ∠2 = 180°
∠2 = 180° - 147° [subtracting 147° from both sides]
∠2 = 33°
Since all internal angles of a triangle add up to 180°,
∠1 + ∠2 + 115° = 180°
∠1 + 33° + 115° = 180°
∠1 + 148° = 180°
∠1 = 180° - 148° [subtracting 148 from both sides]
∠1 = 32°
Answer:
Step-by-step explanation:
then 380 and then add them
418
Step-by-step explanation:
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Answer:
need to solve the equation 150 = -6x2 + 100x - 180. I can subtract 150 from both sides and use the quadratic formula to find x = 4.53 and 12.13. This means that if the store sells soccer balls for $4.53 or $12.13, it will earn a daily profit of $150.
Step-by-step explanation:
the equation 150 = –6x2 + 100x – 180
zeroes at 4.53 and 12.13
the price of soccer balls that will result in $150 daily profit