C. when opposite sides are congruent and parallel
Answer:
Step-by-step explanation:
Given that an exit poll of 1000 randomly selected voters found that 515 favored measure A.
Sample proportion p =
Margin of error 99% = 2.58*SE
=
99% confidence interval =
------------------------
(Right tailed test)
STd error =
Test statistic Z = p diff/std error =
p value = 0.1714
Answer:
Step-by-step explanation:
For this exercise you need to use the following formula:
According to the exercise, the number of kids in a robotics club grew from 23 to 31; then you can identify that:
Knowing these values, you can substitute them into the equation and then evaluate, in order to find the percent increase in the number of kids in the club. Then:
Rounding it to the nearest whole percent:
Answer: The distance from the base of one pole to the top of the other pole is approximately 108.17 feet
Step-by-step explanation:
The scenario is shown in the attached photo. Two congruent right angle triangles, ABC and BAD are formed. Since the triangles are the same, we would consider only one of them.
Let the distance from the base of one pole to the top of the other pole be x feet.
Considering triangle ABC,
Hypotenuse = x feet
Opposite side = 60 feet
Adjacent side = 90 feet
Applying Pythagoras theorem,
Hypotenuse^2 = Opposite^2 + Adjacent ^2
This becomes
x^2 = 60^2 + 90^2
x^2 = 3600 + 8100 = 11700
x = √11700 = 108.16653826392
Approximately 108.17 feet
Answer:
Let say 75% of cars older than age = Y years
than 25 % cars of age less than Y Years
Z score corresponding to 25 % = -0.674
Z score = (Value - Mean) /SD
Value = Y
Mean = 8
SD = 3.2
Z score = -0.674
-0.674 = (Y - 8)/3.2
=> Y =5.84 Years
=> Y ≈ 5.9 Years
Approximately 75% of cars driven by company employees are older than about 5.9 years
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