Answer:
The 95% confidence interval for the population variance is (8.80, 32.45).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the population variance is given as follows:
It is provided that:
<em>n</em> = 20
<em>s</em> = 3.9
Confidence level = 95%
⇒ <em>α</em> = 0.05
Compute the critical values of Chi-square:
*Use a Chi-square table.
Compute the 95% confidence interval for the population variance as follows:
Thus, the 95% confidence interval for the population variance is (8.80, 32.45).
Let no. of pens be x.
Pens : x
Pencils: x+8
Total: 2x+8
Student takes 1 pen and 5 pencils.
Remainder: 2x+8 - 5 -1 = 2x+2
2x+2 = 26
2x= 24
x = 12 (original no. of pens)
x+ 8 = 20 (original no of pencils)
There are 12 pens at first and 20 pencils.
After 1 pen is taken, 11 pens are left.
After 5 pencils are taken, 20-5=15 pencils are left.
Absolute value function domain is all real numbers
absolute value has vertex of(0,-3)
and it opens up
means that the lowest y value is -3
highest is infinity
domain=-inifnity to infinity
range=-3 to positive initnify
the answer is C for the domain and B for the range
The volume of the prism is 31.25 cm cubed.
Therefore the container has a higher volume.
35 - 31.25 is 3.75.
The difference is 3.75
Answer:
b
Step-by-step explanation:
Given K is the midpoint of JL, then
JK = KL ← substitute values
6x = 3x + 3 ( subtract 3x from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Hence
JK = 6x = 6 × 1 = 6
KL = 3x + 3 = (3 × 1) + 3 = 3 + 3 = 6
JL = 6 + 6 = 12
