Answer:
Probability is 64%
Step-by-step explanation:
Given the smaller circle which is shaded whose radius is denoted by r and the largest circle whose radius is denoted by R
r = 3 inches
R = 5 inches
Step 1 : To calculate the area of shaded region.
Area of circle = 
⇒ Area =
=
square inches
Step 2 : To calculate the area of larger circle.
Area of circle = 
⇒ Area = 
=
square inches
Step 3 : Calculate the probability that a point chosen from shaded region
Probability = Area of shaded region/Area of larger circle.
=
/ 
= 
= 0.36 = 36%
Step 4 : calculate the probability that a point chosen inside the larger circle is not in shaded region.
Probability = 1 - 0.36
= 0.64 = 64%
Hence the probability is 64%
Answer:
92 degrees
Step-by-step explanation:
The sum of the exterior angles will be 360.
67 x 4 = 268. That means that the last angles must be 92 (360 - 268)
Answer:
infinite solutions
Step-by-step explanation:
Given
3(8m + 5) = 4(6m + 7) - 13 ← distribute parenthesis on both sides
24m + 15 = 24m + 28 - 13 , that is
24m + 15 = 24m + 15
Since both sides are equal then any real value of x makes the equation true.
Thus there are an infinite number of solutions
<span><span>1.
</span>Josiah and Tillery have new jobs at yum yum’s
ice cream parlor
=> Josiah is Tillery’s Manager = He will be paid 14 dollars
=> Tillery = will be paid 7 dollars.
Then they were told that each year, their salary will increase 2 dollars.
Let’s compare their salary:
Since Josiah is a Manager, it is expected that he should earn higher that
Tillery.
Josiah’s salary is 2 times higher that Tillery even after the increase happened.</span>
Answer:

Step-by-step explanation:
Cross multiply, isolate the variable, and divide by the coefficient to solve.

Plug back in to check.
