Answer:
-2
Step-by-step explanation:
Answer:
0.0359
Step-by-step explanation:
Data provided:
mean values of three independent times are 15, 30, and 20 minutes
the standard deviations are 2, 1, and 1.6 minutes
Now,
New Mean = 15 + 30 + 25 = 65
Variance = ( standard deviation )²
or
Variance = 2² + 1² + 1.6² = 7.56
therefore,
Standard deviation = √variance
or
Standard deviation = 2.75
Thus,
Z-value = 
or
Z-value = - 1.81
from the Z-table
the Probability of Z ≤ -1.81 = 0.0359
Answer:
w = -7z/2
Step-by-step explanation:
Our goal is to isolate w
1. subtract 3w from both sides to get 2w+9z = 2z
2. Subtract 9z from both sides to get 2w = -7z
3. Divide both sides by 2 to get w = -7z/2
We cannot simplify further, so this is our answer.
Problem 4:
4a = -15
4b = -75
4c = 125
Problem 5:
5a = -5
5b = 95
5c = -19 
Step-by-step explanation:
<em> See attached for my work. </em>
For problem 4, we substitute the different values given for x and solve.
For problem 5, we set the function equal to the given values and solve.
Lets imagine the shape
M
/\
/ | \
/ | \
/ | \
P /___ |___\ N
O
Now in If we take â†MOP and â†MON
As MO ⊥ NP so â MON=â MOP
NO=NP (given)
And MO is a common side
so by side angle side rule of congruency
â†MOP and â†MON are congruent
so MP is congruent to MN