Answer:
5.3 ft
Step-by-step explanation:
Because CD corresponds to BC, the scale factor from triangle ABC to triangle CDE, is 7/8. Now, DE corresponds to AB, so to get DE, we must multiply the value of AB by 7/8. 6 times 7/8 is 5.25, and rounding to the nearest tenth of a foot, the value of DE is 5.3.
Step-by-step explanation:
This is what it is equal to:
9×3x=27x
9×8=72
Therefore it will be:

hope it helps!
We can write two equations for this. x = each minute of calls
Plan A = .1x + 16
Plan B = .14x
Make the two equations equal each other, so we can find when they are the same.
.1x + 16 = .14x
Subtract .1x from both sides
16 = 0.04x
Divide by 0.04 to get x by itself
400 = x.
Earlier, we set x as each minute of calls. This means that after 400 calls, Plan A and Plan B will cost the same.
To find the cost, substitute 400 into both equations by themselves.
Plan A cost = .1x + 16
Plan A cost = .1(400) + 16
Plan A cost = 40 + 16
Plan A cost = $56
Plan B cost = .14x
Plan B cost = .14(400)
Plan B cost = $56
Final answer: After 400 calls, Plan A and Plan B will both cost $56.
Answer:
p(z<0.42) = 0.6628
Step-by-step explanation:
A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution. That is to say:
μ = 0
σ² = 1
Using a calculator, we find that:
p(z<0.42) = 0.6628 (See picture attached)