Answer:
31 degrees
Step-by-step explanation:
Measure angles 1 and 3 are vertical angles, meaning they are equal which means 3 = 149 degrees
Angles 2 and 3 are adjacent and supplementary, meaning that their angles add up to 180.
1<u>8</u>0 - 149 = 31 degrees
No its not. the square root of 15 is about 3.873. Thus, the square root of 15 is not an integer, and therefore 15 is not a square number.
Answer:
0.9545
Step-by-step explanation:
To calculate the probability, we need to get the standard score or z-score of each of the scores.
Mathematically;
z-score = (x-mean)/SD
mean = 89 and SD(standard deviation) = 3
for 83, the z-score = (83-89)/3 = -6/3 = -2
for 95, the z-score = (95-89)/3 = 6/3 = 2
The probability we are to calculate has the following range;
P(-2<z<2)
we use the standard score table to estimate this;
= P(z<2) - P(z<-2)
P(z<2) = 0.97725
P(z<-2) = 0.02275
Plugging these values into the equation, we have ;
P(-2<z<2) = 0.97725 - 0.02275 = 0.9545
Answer:
The solutions are t = 0 and t = 1. Since starting time is 0, the arrow is in the air for 1 second.
Step-by-step explanation:
Set the equation equal to zero.
−2t(8t − 8) = 0
Apply the Zero Product Property.
−2t = 0 or 8t − 8 = 0
Solve each equation for t.
t = 0 or 8t = 8
t = 1
