Answer:
-24/5
Step-by-step explanation:
The solution to the problem is as follows:
cscx < 0 means 1/sinx < 0, or sinx < 0.
sinx = -3/5 because you're dealing with a 3-4-5 triangle, and we established
sinx is negative.
sin2x = 2sinxcosx = 2*-3/5*4/5 = -24/25
cos(2x) = cos^2(x) - sin^2(x) = 16/25 - 9/25 = 5/25 = 1/5
tan2x = sin2x / cos2x = -24/5
X =(-8+√464)/-8=1-1/2√<span> 29 </span><span>= -1.693</span>
Answer:
0.0016283
Step-by-step explanation:
Given that:
Proportion of defective bulbs, p = 30% = 0.3
Sample size, n = 19 bulbs
Probability that the lot will pass inspection :
P(none of the 19 is defective) Or P(only one of the 19 is defective)
P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19
0.7^19 = 0.0011398
P(only one of the 19 is defective) :
P(1 defective) * P(18 not defective )
(0.3) * (1 - 0.3)^18
0.3 * 0.7^18
0.3 * 0.001628413597910449 = 0.0004885
Hence,
P(none of the 19 is defective) + P(only one of the 19 is defective)
0.0011398 + 0.0004885) = 0.0016283
X=4
First find the solution to (x+1) ft. I chose to guess the answer as 4 and it worked (you’ll have to guess). I then plugged 4 into the other equation 2x. It became 2•4. Solving give the side length of 8 ft. Then you have to check to make sure they both have the same area. To do this just solve the equations.
First rectangle- 4•4= 16 ft area
Second rectangle- 2•8 = 16 ft area
( I’m really sorry if this is confusing)
The answer is C because if you multiply 4 and 2 by 2 it would become 8 and 4, 8+4=12
