Answer:
X = 75
Step-by-step explanation:
here, DY || FS ,
SO, Angle DFS = Angle JDY
( Corresponding angle pair )
Angle JSF = Angle JYD
( Corresponding angle pair )
Hence, triangle JDY ~ JFS ( By AA CRITERIA )
Now, JY / YS = JD / DF
=》42 / 63 = 50 / X
=》X = 50/42 × 63
=》X = 75
i hope you got it
Answer:

Step-by-step explanation:
A triangular number is number that can be recomposed in the form of an equilateral triangle. Each triangular number is defined by:

Hence, evaluating n=100

The answer is n^2. hope this helped :)
Answer:
The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).
Step-by-step explanation:
We have to calculate a 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams.
The sample 1 (Fiberglass), of size n1=26 has a mean of 33.4 and a standard deviation of 2.2.
The sample 2 (Carbon), of size n2=26 has a mean of 42.8 and a standard deviation of 4.3.
The difference between sample means is Md=-9.4.

The estimated standard error of the difference between means is computed using the formula:

The critical t-value for a 99% confidence interval is t=2.678.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).
Answer:
252× 8 = 2,016
Step-by-step explanation:
the answer is 2,016 u just need to multiply