Answer:
d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°
Step-by-step explanation:
m<ABF = 47° (given)
m<FBE = 83°
✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)
m<ABD + 47° + 83° = 180° (substitution)
m<ABD + 130° = 180°
Subtract 130 from each side
m<ABD = 180° - 130°
✅m<ABD = 50°
✍️m<GBC = m<ABF (vertical angles)
✅m<GBC = 47° (Substitution)
✍️m<EBC = m<ABD (Vertical angles)
✅m<EBC = 50° (substitution)
✍️m<DBG = m<FBE (vertical angles)
✅m<DBG = 83° (Substitution)
Answer:
The 1st option
Step-by-step explanation:
Notice in sequence 1, it is 1,6; 2,12
That is sequence 1 * 6 = sequence 2.
Hope this helps! Have a nice day!
Answer:
Hence, the answer is 86.42°.
Step-by-step explanation:
We are asked to find how many degrees is the painted spot turning in 0.75 s.
Let us consider that α denote the angle spot is turning in 0.75 sec.
As in 0.75 sec the height of table top is 12.
Hence we can use the trignometric identity to find the measure of angle α.
as
where P denotes the perpendicular i.e. the height of table top.
and B denotes the base i.e. the number of seconds.
Here P=12 and B=0.75
Hence,
Answer:
Step-by-step explanation:
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The population proportion have the following distribution
And we can solve the problem using the z score on this case given by:
We are interested on this probability:
And we can use the z score formula, and we got this:
And we can find this probability like this: