Answer:
(23.97, 24.03)
Step-by-step explanation:
Given the data:
224.120 224.001 224.017 223.982 223.989 223.961 223.960 224.089 223.987 223.976 223.902 223.980 224.098 224.057 223.913 223.999
Confidence interval = m ± Zcritical(s/√n)
n = sample size = 16
Zcritical at 95% = 1.96
Using calculator :
Sample mean, m = 224.0019
Standard deviation, s = 0.0618
Lower bound : 24.0019 - 1.96(0.0618/√16) = 23.971618
Upper bound : 24.0019 + 1.96(0.0618/√16) = 24.032182
(23.97, 24.03)
Answer:
<em>x = 2.5</em>
Step-by-step explanation:
- 2x - ( - 5 - 4x ) = - 5 ( 2x - 7 )
- 2x + 5 + 4x = - 10x + 35
- 2x + 5 + 4x = - 10x + 35
- 2x + 4x + 10x = 35 - 5
12x = 30
<em>x = </em>
<em> = 2.5</em>
Check the answer:
<em>L.H.S.</em> = - 2(2.5) - [ - 5 - 4(2.5) ] = <em>10</em>
<em>R.H.S.</em> = - 5 [ 2(2.5) - 7 ] = <em>10</em>
To find the area of a triangle, you multiply the base times the height and multiply it by 2.
In order to find the height, you need to do this in reverse.
1.multiply 24x2
2. Find possible multiples.
3. 4x12=48, 12(the base) is three times four, and 48/2 is 24.
Answer: the height of the triangle is 4
Hello!
We know that 1 minute = 60 seconds.
5 minutes = 300 seconds because 60 × 5 = 300
360 seconds would be 6 muinutes. 420 seconds would be 7 minutes. That means 480 seconds = 8 minutes, so 8 minutes have passed.