Answer:
Since,
Here, the given equation is,
|a| < b
Case 1 : if a ≥ 0,
|a| < b ⇒ a < b
Case 2 : If a < 0,
|a| < b ⇒ -a < b ⇒ a > - b
( Since, when we multiply both sides of inequality by negative number then the sign of inequality is reversed. )
|a| < b ⇒ a < b or a > - b ⇒ -b < a < b
Conversely,
If -b < a < b
⇒ a < b or a > - b
⇒ a < b or -a < b
⇒ |a| < b
Hence, proved..
Okay, so the angle of K is 45° (180 - 135).
Draw a line that goes straight down from angle L and let's say that point is point Z. You can see that this triangle can be separated into two special triangles: the 45 45 90 triangle on the left (ΔLKZ) and the 30 60 90 triangle (ΔLMZ) on the right.
I don't know if you've learned this yet (just google them if you're confused): - for a 45 45 90 triangle the sides are x, x, and x√2. - for a 30 60 90 triangle the sides are x, 2x, and x√3.
Since we know that LM is 20√3, using the 30 60 90 trick, you can see that LZ is 10√3 and MZ is 30.
Next, since LZ is 10 sqrt(3), using the 45 45 90 trick, <em>KL is 10√6</em> and KZ is 10 sqrt(3). Therefore, KM = KZ + MZ = <em>10√3 + 30</em>
<u>The answer: KL is 10√6, KM is 10√3 + 30</u>
(I'm sorry it's such a long explanation, pictures would have been better)
$600 / 100 = $6
$6 x 40 = $240
Answer: $240
Hope it helped :)
Solution
Step 1
Step2
The probability that at least one will have a defect
= 1 - the probability that noon will have a defect
Step 3
Use the binomial distribution
Answer:
55
Step-by-step explanation:
6(10)-5
=60-5
=55
PLS GIVE BRAINLIEST
