Answer:
The probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026
Step-by-step explanation:
Mean = 
Population standard deviation =
Sample size = n =25
Sample mean = 
We are supposed to find the probability of observing a sample mean of x = 52 or greater from a sample size of 25 i.e.
Z=5.83
P(Z<52)=0.9999974
Hence the probability of observing a sample mean of x = 52 or greater from a sample size of 25 is 0.0000026
Answer:
x = 20, <S = 47 degrees, <P = 131 degrees
Step-by-step explanation:
27 + x + 119 + 63 + 3x + 71 = 360
4x + 280 = 360
4x = 80
x = 20
<S = 27 + x = 27 + 20 = 47 degrees
<P = 3x + 71 = 3(20) + 71 = 131 degrees
Good morning ☕️
Answer:
<h2>32° and 58°</h2>
-by-step explanation:
Let x be the measure of angle 1
and y be the measure of angle 2
The Two angles are complementary
means
x + y = 90
their difference is 26 degrees
means
x - y = 26
x + y = 90 (1)
x - y = 26 (2)
(1) - (2) ⇒2y = 64 ⇒ y =32°
therefore x = y + 26 = 58°
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:)
Answer:
The inequalities all need to be of the form a < x ≤ b. i think that is it
Answer: 0.3023
Step-by-step explanation:
86 band members
26 are senior, 17 plays trumpet. If 4 are seniors and play trumpet, we solve this using the bayes theorem of conditional probability.
Probability of choosing band member that plays trumpet =17/86 = 2/43.
Probability of choosing a senior that plays trumpet = 4/26
Probability that a chosen member is a senior given that he plays trumpet = (2/43)/(4/26)
= 0.3023.
