Answer:
ABC = 65
Step-by-step explanation:
The sum of the angles of a quadrilateral are 360
2x-15 + x + 2x-15 +x = 360
Combine like terms
6x -30 = 360
Add 30 to each side
6x -30 +30 = 360+30
6x= 390
Divide by 6
6x/6 = 390/6
x=65
We want angle ABC
ABC = x
ABC = 65
Answer: the interval of heights that represents the middle 95% of male heights from this school is between 66 inches and 76 inches.
Step-by-step explanation:
Let x be a random variable representing the heights of males from this school. With the mean and standard deviation given, then the Empirical Rule says the that
1) About 68% of the x values lie between 1 standard deviation below and above the mean.
2) About 95% of the x values lie between 2 standard deviations below and above the mean.
3) About 99.7% of the x values lie between 3 standard deviations below and above the mean.
From the information given,
mean = 71 inches
Standard deviation = 2.5 inches
We want to determine where 95% of x values lies. This is 2 standard deviations from the mean Therefore,
2 standard deviations = 2 × 2.5 = 5 inches
The heights are
71 - 5 = 66 inches and
71 + 5 = 76 inches
Answer:
5 hours then dinner service starts
Step-by-step explanation:
SO
95px5=475
So it is $4.75
Answer:
415.265 m²
Step-by-step explanation:
A=π r²
π*132.25
