(1) it can be both exterior of vertex or base. 180-130=50°
vertex is 50°: base=(180-50)/2=65°
base is 50°: vertex= 180-2*50=80°

vertex 50 base 65; vertex 80, base 50

(2)base=180-130=50°
vertex=180-2*50=80°

base 50 vertex 80

5 0

3 years ago

Molybdenum rods are produced by a production line setup. It is desirable to check whether the process is in control, i.e. equal

ikadub [295]

Answer: Test statistic = -8 and rejected region is (-∞,-1.966) and (1.966, ∞)

Step-by-step explanation:

Since we have given that

X is the length of a rod.

Sample Mean = 2 inches

Standard deviation = 0.5 inches

n = 400

Hypothesis are

$H_0:\mu=2.2\\\\H_1:\mu\neq 2.2$

Test statistics would be

$t=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}}\\\\t=\dfrac{2-2.2}{\dfrac{0.5}{\sqrt{400}}}\\\\t=-8$

Degrees of freedom = n-1 =400-1 =39

and $\alpha =0.05\\\\\dfrac{\alpha }{2}=\dfrac{0.05}{2}=0.025$

Using the t-distribution table, we get that critical value z = 1.966

Since the two tail test will be applied to this,

So, the acceptance region will be (-1.966, 1.966)

Hence, the rejected region will be (-∞,-1.966) and (1.966, ∞)

5 0

3 years ago

Is it possible for two different numbers, when squared, to give the same result?

lawyer [7]

Actually, yes, it is possible for two different numbers to give the same result when squared.

In my last answer, I wrote that it wasn't, but I realize now where my mistake was made.

When a number like positive 4 is squared, the answer is 16. When a number like negative 4 is squared, the answer is also 16. I think that the only time when two different squared numbers have the same result is when they are the same number but have a different positive/negative sign.

I hope this helps.

7 0

3 years ago

Determine the absolute value. Type the numerical answer only. -l12l​

Determine the absolute value. Type the numerical answer only. -l12l