Answer:
B
Step-by-step explanation:
Set up the equation
z = 
Plug in the numbers to find the value of k
3 = 
12 = 4k
3 = k
Solve to find the value of z
z = 
z = 
z = 48/9
z = 16/3
Answer: (4,5)
Step-by-step explanation:
Anything less than 4 and 5, would be equal to or less than 4
Answer:
3x times 5=5 times 3x
Step-by-step explanation:
To illustrate the information in the correct syntax:
X~N(23334, 3412²)
What we're being asked to find is P(X ≤ 26000).
In order to do this, we need to convert this value into one we can look up on the table for the standard normal distribution (Z).
To do this we use the formula:
Z = (X - μ)/σ
Z = (26000 - 23334)/3412 = 0.7813599... ⇒ 0.78
We can say:
P(X ≤ 26000) = P(Z ≤ 0.78) = 0.7823
<span>3) This one is a little different, since you're finding the angle instead of the side. You can denote the angle to be the variable x. Thus:
cos x = 14 / 26
Use a calculator to divide out 14/26, then round to four decimals.
cos x = 0.5385
Now go to the cosine chart and find which angle has the cosine 0.5385. It's a strange problem they gave you, because the chart doesn't have a value that matches it (kind of confusing if you ask me). But you can find two angles it is between. Notice that cos 57° = 0.5446 and cos 58° = 0.5299. Thus, the angle must be between those two. It turns out it is closer to 57°, so you can say:
x = 57° </span>
