Answer:
248 miles
Step-by-step explanation:
we know that
After 3.5 hours ,Pasha had traveled 217 miles
so
using proportion
Find out how many miles she will have traveled after 4 hours

Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:


We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:



Now, the volume of a sphere is denoted by:
, where r is the radius. From above, we know that
, so we can plug this into the equation:


Thus, the answer is C.
Answer:
Slope: 2
Step-by-step explanation:
Answer:
4d + 6c - 6
Step-by-step explanation:
The perimeter of the rectangle is the sum of all 4 sides
perimeter = 2d - 3 + 3c + 2d - 3 + 3c = 4d + 6c - 6
7.37:
a. <em>W</em> follows a chi-squared distribution with 5 degrees of freedom. See theorem 7.2 from the same chapter, which says

is chi-squared distributed with <em>n</em> d.f.. Here we have
and
.
b. <em>U</em> follows a chi-squared distribution with 4 degrees of freedom. See theorem 7.3:

is chi-squared distributed with <em>n</em> - 1 d.f..
c. <em>Y₆</em>² is chi-square distributed for the same reason as <em>W</em>, but with d.f. = 1. The sum of chi-squared distributed random variables is itself chi-squared distributed, with d.f. equal to the sum of the individual random variables' d.f.s. Then <em>U</em> + <em>Y₆</em>² is chi-squared distributed with 5 + 1 = 6 degrees of freedom.
7.38:
a. Notice that

and see definition 7.2 for the <em>t</em> distribution. Since <em>Y₆</em> is normally distributed with mean 0 and s.d. 1, it follows that this random variable is <em>t</em> distributed with 5 degrees of freedom.
b. Similar manipulation gives

so this r.v. is <em>t</em> distributed with 4 degrees of freedom.