(2,3) so x=2, y=3 and h=(2^2+3^2)^(1/2)=√13
sina=3/√13, cosa=2/√13, tana=3/2
Afterwards multiply sina and cosa by √13/√13 and get sina=(3√13)/13 and cosa=(2√13)/13
Answer:
Hi your question is incomplete attached below is the complete question
answer : p ( X < 725 ) = 0.0116
Step-by-step explanation:
Given data:
Average life of bulbs (μ ) = 750 hours
standard deviation (б ) = 55 hours
n ( sample size ) = 25
X = 725
<u>Probability that the mean life of a random sample of 25 bulbs will be less than725 hours </u>
p ( X < 725 ) = p (( X - μ )/ б √n < 725 - 750 / 55√25 )
= P ( Z > - 2.27 )
Hence P ( X < 725 ) = 0.0116 ( using Z-table )
Answer:

Step-by-step explanation:
step 1
Find the slope of the line
The formula to calculate the slope between two points is equal to

we have the points
(2,24) and (6,16)
substitute in the formula



step 2
Find the equation of the line in slope intercept form

we have

----> the k-intercept is the point (0,28) see the graph
substitute

Answer:
25
Step-by-step explanation:
350/14=25
Natalie will fill 25 boxes with pencils.