Answer: 20.77%
Step-by-step explanation:
There are 52 cards in a standard deck. Out of these cards, there are 12 face cards. Thus, the probability of drawing a face is 12/52.
On a 20-sided dice, there are 20 options of numbers to roll. Out of these 20 numbers, 18 of the numbers are greater than or equal to 3, making the probability 18/20, or 9/10.
To find the probability of two events, you need to multiply the probabilities together. Thus, you need to multiply 12/52 by 9/10.
(12/52) * (9/10) = 27/130
27/130 is about equal to 0.2077, or a 20.77% probability.
<u>Part 1</u>
By the inscribed angle theorem, arc PA measures 62 degrees.
<u>Part 2</u>
Angles inscribed in the same arc are congruent, so angle PRA measures 31 degrees.
<u>Part 3</u>
Diameters form semicircles, and the arc of a semicircle measures 180 degrees, so arc PAR measures 180 degrees.
<u>Part 4</u>
Subtracting arc PA from arc PAR, we get arc AR measures 118 degrees.
Answer:
US$ 132.45
Step-by-step explanation:
See attachment for the missing table.
Given:
Richard’s checking account balance at the beginning of the week = $57.34
<u>Richard’s account balance at the end of the week from the given table:</u>
Deposits of the week = US$ 163.75
Expenses of the week = Groceries + Credit card bill + Gas
Expenses of the week = 25.37 + 50 + 13.27
Expenses of the week = US$ 88.64
Richard’s account balance at the end of the week = Richard’s checking account balance at the beginning of the week + Deposits of the week - Expenses of the week
Replacing with the real values:
Richard’s account balance at the end of the week = 57.34 + 163.75 - 88.64
=US$ 132.4
Answer:b
Step-by-step explanation:
