Answer: 2x5−3x4−8x3+12x2
Step-by-step explanation:
(2x2−3x)(x3−4x)
=(2x2+−3x)(x3+−4x)
=(2x2)(x3)+(2x2)(−4x)+(−3x)(x3)+(−3x)(−4x)
=2x5−8x3−3x4+12x2
=
Answer:
x = 10 yd
Explanation:
These triangles are based on proportions. 12 yd is proportional to 18 yd, and <em>x </em>yd to 15 yd. We want to find <em>x</em>. We'll use the rule of three to calculate the unknown number.
12/18 = x/15
x = (12 · 15)/18
x = 10 yd (10 yards from the hut to the gold coins)
9/36 in the simplest form is 1/4
Answer:
93
Step-by-step explanation:
Answer:
A. Yes, the two corresponding confidence intervals overlap.
Step-by-step explanation:
The correct option is - A. Yes, the two corresponding confidence intervals overlap.
Reason -
P(1) = 45% = 0.45
E(1) = 4.6% = 0.046
Confidence Interval = P(1) ± E(1)
= 0.45 ± 0.046
So, the interval is -
0.45 + 0.046 ≤ P ≤ 0.45 - 0.046
⇒0.496 ≤ P ≤ 0.404 .............(1)
Now,
P(2) = 42% = 0.42
E(2) = 3.6 % = 0.036
Confidence Interval = P(2) ± E(2)
= 0.42 ± 0.036
So, the interval is -
0.42 + 0.036 ≤ P ≤ 0.42 - 0.036
⇒0.456 ≤ P ≤ 0.384 ...............(2)
From equation (1) and (2), we get
The two corresponding confidence intervals overlap.
