Answer:
x = 4
Step-by-step explanation:
Step 1: Write equation
9x - 8(x - 6) = 52
Step 2: Solve for <em>x</em>
- Distribute -8: 9x - 8x + 48 = 52
- Combine like terms: x + 48 = 52
- Subtract 48 on both sides: x = 4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
9(4) - 8(4 - 6) = 52
36 - 8(-2) = 52
36 + 16 = 52
52 = 52
<span> (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in
using z-score formula:
z-score=(x-mu)/sig
(64-63.5)/2.8
=0.18
thus
P(x<64)=P(z<0.18)-=0.5714
B] </span><span> if 33 women are randomly selected, find the probability that they have a mean height less than 64 in
using the central limit theorem of sample means, we shall have:
2.8/</span>√33=0.49
since n>30 we use z-distribtuion
z(64)=(64-63.5)/0.49=1.191
The
P(x_bar<64)=P(x<1.191)=0.8830
Answer:
25mi
Step-by-step explanation: 150 divided by 6 is 25
