Answer:
0.3575
Step-by-step explanation:
A population with a normal distribution has a mean of 104 and a standard deviation of 15. A sample of 30 items is taken from that population. (a) (4 points) What is the probability of the sample mean is not less than 103?
The probability of the sample mean is not less than 103 means the sample mean is equal to 103
We solve using the z score formula
z = (x-μ)/σ/√n
where
x is the raw score = 103
μ is the population mean = 104
σ is the population standard deviation = 15
n is the random number of sample = 30
z = 103 - 104/15/√30
z = -1/2.7386127875
z = -0.36515
Probability value from Z-Table:
P(x≤ 103) = 0.3575
Therefore, the probability of the sample mean is not less than 103 is 0.3575
By using the theorem,
"If the diagonals of a quadrilateral bisect each other and have the same length, then the quadrilateral is a rectangle."
By the rectangle the opposite sides are equal and and the opposite angles are congruent.
Thus the Quadrilateral ABCD has all congruent sides and opposite angles that are congruent is given by Rectangle.
Answer: The answer is 10 students.
Step-by-step explanation: Well first you know 15 take both so you can just subtract 15 from one of the numbers because the same student does not need to be counted twice. I chose to do 35-15 which equals 20. Then you do 60+20 to get 80. Lastly you subtract 80 from 90 to get 10.
I'm gonna go ahead and say I may not be correct because I don't know everything, but I answered to my best ability and got 10.
Answer:
C
Step-by-step explanation:
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.