Answer:
Original angle = 122*
Supplementary angle = 58*
Step-by-step explanation:
A supplementary angle is one of two angles that make up 180*
If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.
So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.
The formula to figure it out would look like this: x + (x + 64) = 180
x is the supplementary angle
x + 64 is the original angle (64 MORE than its supplementary angle)
180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.
Take the formula and do a little algebra.
x + (x + 64) = 180
Subtract 64 from both sides
x + x = 116
Combine the x's
2x = 116
Divide both side by 2
x = 58
Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.
x + 64 = 122
Check our work:
x + (x + 64) = 180
58 + 58 + 64 = 180
Answer:
70%
Step-by-step explanation:
First find the number that were rejected
10-3 = 7
Then take that over the total
7/10
.7
70%
Answer:
Nitrogen has an atomic number of 7 (Z=7) because it has 7 protons in its nucleus.
I think that's what you're looking for
?? I can always be wrong.
Good luck, hope this helped!
Answer:
d. (0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
p+/-z√(p(1-p)/n)
Given that;
Proportion p = 195/250 = 0.78
Number of samples n = 250
Confidence interval = 90%
z value(at 90% confidence) = 1.645
Substituting the values we have;
0.78 +/- 1.645√(0.78(1-0.78)/250)
0.78 +/- 1.645√(0.0006864)
0.78 +/- 1.645(0.026199236630)
0.78 +/- 0.043097744256
0.78 +/- 0.043
(0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)
Answer:
It would approximately be 3.73 m/h
Step-by-step explanation:
0.8 mins is 48 seconds
I then divided 8000 by 48 seconds to see how many cm it traveled per second.
It traveled 166.666666667 cm per second
I then converted cm to feet
so it was 5.468066491699474 feet per second
I then converted feet to miles, so it was 0.0010356186537309611598 miles per second.
Then I multiplied it by 60 so it was 0.06213711922 miles per minute.
Finally I multiplied it by 60 again to make it 3.72822715343 miles per hour.
I rounded it to the nearest hundredth making it 3.73 m/h
