Answer:
2144.66 would be the correct answer
Step-by-step explanation:
Hello,
We know that th formula for the area of a rectangle is:

Now, the problem in this excercise is that there is no restriction on the values that b and h can take, so, they can take any value provided that it meets:
for example:

But if they can only take intenger values, what we have to do is to descompose 12, and then we can analyze the possible solutions.
12 | 2
6 | 2
3 | 3
1
12= 2 *2*3
first option:
12=4*3
Answer: lenght= 4cm and width= 3cm or vice versasecond option:
12=2*6
Answer: lenght= 6cm and width= 2cm <span>
or vice versa</span>
Answer:
If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 15
Standard Deviation, σ = 1
Sample size = 4
Total lifetime of 4 batteries = 40 hours
We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.
Formula:

Standard error due to sampling:

We have to find the value of x such that the probability is 0.05
P(X > x) = 0.05
Calculation the value from standard normal z table, we have,
Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.
10x - 3 = x + 2 + 2x - 1
10x - 3 = 3x + 1
-3x on both sides
7x - 3 = 1
-1 on both sides
7x - 4
(Check 7x - 4 by adding them all up to equal 10x - 3)
x + 2 + 2x - 1 + 7x - 4 = 10x - 3
combine liked terms
10x - 3 = 10x - 3
Answer:
D) 7x - 4
R-4+3r-16=180
4r-20=180
4r=200
r=50
Angle D
r-4
50-4
46
Angle E
3r-16
3•50-16
150-16
134