Answer:
X = 5 unit
Step-by-step explanation:
Given as , ABC is a Triangle ,
AC extended to through C to D
∠BAC = 6x + 10
∠ABC = 6x - 10
∠BCD = ∠ 8x + 20
When c extended to D then , ∠BCD is an external angle
∵ <u>External angle = Sum of opposite internal angles</u>
Or ,∠BCD = ∠BAC + ∠ABC
Or, ∠ 8x + 20 = 6x + 10 + 6x - 10
Or, ∠ 8x + 20 = 12x
Or, 12x - 8x = 20
∴ 4x = 20
So, x = 
= 5
Hence the value of X = 5 unit Answer
Answer:
y³ - 3y² + 1/y+3
Step-by-step explanation:
y² - 9 = (y - 3) ( y + 3)
y-3/(y-3)(y+3) = 1/y+3
Answer:
E
Step-by-step explanation:
Solution:-
- We are to investigate the confidence interval of 95% for the population mean of walking times from Fretwell Building to the college of education building.
- The survey team took a sample of size n = 24 students and obtained the following results:
Sample mean ( x^ ) = 12.3 mins
Sample standard deviation ( s ) = 3.2 mins
- The sample taken was random and independent. We can assume normality of the sample.
- First we compute the critical value for the statistics.
- The z-distribution is a function of two inputs as follows:
- Significance Level ( α / 2 ) = ( 1 - CI ) / 2 = 0.05/2 = 0.025
Compute: z-critical = z_0.025 = +/- 1.96
- The confidence interval for the population mean ( u ) of walking times is given below:
[ x^ - z-critical*s / √n , x^ + z-critical*s / √n ]
Answer: [ 12.3 - 1.96*3.2 / √24 , 12.3 + 1.96*3.2 / √24 ]
Answer:
1/4
Step-by-step explanation:
The answer is 1/4 because 4 is the greatest common factor (GCF) of both numbers. So you divide both numbers by 4.
4 ÷ 4 = 1
16 ÷ 4 = 4
Therefore, the answer is 1/4.
The answer is b hope this helps
