Answer:
Can you attach a pic please ?
Step-by-step explanation:
Answer:
20 ft
Step-by-step explanation:
We know that
Perimeter of rectangle = 2(l + w)
Let the width be w
=> 104 = 2(32 + w)
=> 104/2 = 32 + w
=> 52 = 32 + w
=> 52 - 32 = w
=> 20 = w
Hence z
Width of playground is 20 ft
Answer:
The confidence interval = (7.8 , 8.0)
Step-by-step explanation:
Confidence Interval formula =
Mean ± z × Standard deviation/√n
Mean = 7.9
Standard deviation = 0.9
n = number of samples = 164
z = z score of an 80% confidence interval = 1.282
Confidence Interval = 7.9 ± 1.282 × 0.9/√164
= 7.9 ± 0.0900966432
Confidence Interval
= 7.9 - 0.0900966432
= 7.8099033568
Approximately to 1 decimal place = 7.8
7.9 + 0.0900966432
= 7.9900966432
Approximately to 1 decimal place = 8.0
Therefore, the confidence interval = (7.8 , 8.0)
Transformation :
sin α · cos β = 1/2 ( sin ( α - β ) + sin ( α + β ))
...= 1/2 ( sin ( - 375 ) + sin ( 2 x + 443 ) ) + 1/2 ( sin (-225)+ sin ( 2 x + 263 ))=
= 1/2 ( 1/√2 + sin ( 2 x + 443 ) + 1/2 ( 1/√2 + sin ( 2 x + 263 ) =
= 1/2√2 + 1/2√2 + 1/2 ( sin ( 2 x + 443 ) + sin ( 2 x + 263 ) ) =
= 1/√2 + 1/2 · ( 2 · sin (( 4 x + 706 ) / 2) + cos ( 180 / 2 ) =
( since cos 180°/2 = cos 90° = 0 )
= 1/√2 + 0 = 1/√2 ( correct )
Answer: It depends.
Step-by-step explanation:
If you are adding two negatives those two negatives will not give you a positive and if you are subtracting negatives depending on the numbers it wont give you a positive. Now when you multiply or divide two negatives that's a different story, but adding and subtracting negatives wont give you a positive.