A medical engineering company creates x-ray machines. The machines the company sold in 1995 were expected to last six years before breaking. To test how long the machines actually lasted, the company took a simple random sample of six machines. The company got the following results (in years) for how long the x-ray machines lasted: 8, 6, 7, 11, 3, 16. Assume the distribution of the longevity of x-ray machines is normally distributed. The 95% confidence interval for the average longevity of x-ray machines is between

Q: (-14) + (–7)

A:

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: 5(18)

A: To find5(18)

Q: 2 3 3 4 6 8

A: The mean is computed below.   Aptitude score(x) Frequency(f) x*f 0 4 0 1 2 2 2 3 6 3 0 0…

Q: 7/2 + 3 4/6

A:

Q: х3 — 2х dx х — 1 -3 10. 2

A: Given: I=∫23x3-2xx-1dx For evaluating given integral, we substitute x-1=t…

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 4(5+6)=

A: Given: 4(5+6)=

Q: In Exercises 1-6, the given set is a basis for a subspace W. Use the Gram- Schmidt process to…

A: From the given basis we find an orthogonal basis of W. Using Gram-Schmidt process:

Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: 3. (x³ + 4x² –x – 1) + (x + 3)

A: Here we have to divide two polynomials as shown.

Q: (In 2x)' In V k.

A:

Q: 1+1  w

A:

Q: 10(a +2)3 2. Expand. n 7ь

A: The expansion of the provided expression is given by,