Answer:
27 hours
Step-by-step explanation:
Let her work "x" hours for paperwork
Since, patrolling amount of hours is THREE TIMES that,
Patrolling = 3x hours
Total Hours = 36
That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:
x + 3x = 36
4x = 36
x = 36/4
x = 9 hours
Amount of Hours for Patarolling = 3x hours = 3(9) = 27 hours
So, she spends 27 hours patrolling
Answer:
4-4=0
16-6-10=0
17-3-4-10=0
1-2+1=0
Step-by-step explanation:
Answer:
Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .
Step-by-step explanation:
We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;
Mean, = 1.3 cm and Standard deviation, = 0.01 cm
Also, since distribution is normal;
Z = ~ N(0,1)
Let X = range of diameters
So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)
P(X < 1.33) = P( < ) = P(Z < 3) = 0.99865
P(X <= 1.27) = P( < ) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865
= 0.00135
P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .
Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .
93 students play an instrument because you would take 310 (the total amount of students) and multiply it by 0.3 (the thirty percent) and get 93
The solutions of the equation are x = 15 and x = -20
<h3>How to determine the solutions of the equation?</h3>
The equation is given as:
the absolute value quantity two fifths times x plus 1 end quantity minus 7 equals 0
Rewrite the equation properly as:
|2/5x + 1| - 7 = 0
Add 7 to both sides
|2/5x + 1| = 7
Remove the absolute bracket
2/5x + 1 = 7 and 2/5x + 1 = -7
Subtract 1 from both sides
2/5x = 6 and 2/5x = -8
Solve for x
x = 15 and x = -20
Hence, the solutions of the equation are x = 15 and x = -20
Read more about absolute value at
brainly.com/question/1782403
#SPJ1