Answer:
12 ft 2 in.
Step-by-step explanation:
Conversion: 1 ft = 12 in.
Add the lengths of the boards.
4 ft 10 in. + 2 ft 11 in. + 4 ft 5 in. =
= 4 ft + 2 ft + 4 ft + 10 in. + 11 in. + 5 in.
= 10 ft + 26 in.
= 10 ft + 24 in. + 2 in.
Since 1 ft = 12 in., then 24 in. = 2 ft.
= 10 ft + 2 ft + 2 in.
= 12 ft 2 in.
From a standard deck of cards, one card is drawn. What is the probability that the card is black and a
jack? P(Black and Jack)
P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26
A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen
or an ace. P(Q or A) = P(Q) = 4/52 or 1/13 + P(A) = 4/52 or 1/13 = 1/13 + 1/13 = 2/13
WITHOUT REPLACEMENT: If you draw two cards from the deck without replacement, what is the
probability that they will both be aces? P(AA) = (4/52)(3/51) = 1/221.
1
WITHOUT REPLACEMENT: What is the probability that the second card will be an ace if the first card is a
king? P(A|K) = 4/51 since there are four aces in the deck but only 51 cards left after the king has been
removed.
WITH REPLACEMENT: Find the probability of drawing three queens in a row, with replacement. We pick
a card, write down what it is, then put it back in the deck and draw again. To find the P(QQQ), we find the
probability of drawing the first queen which is 4/52. The probability of drawing the second queen is also
4/52 and the third is 4/52. We multiply these three individual probabilities together to get P(QQQ) =
P(Q)P(Q)P(Q) = (4/52)(4/52)(4/52) = .00004 which is very small but not impossible.
Probability of getting a royal flush = P(10 and Jack and Queen and King and Ace of the same suit)
What's the probability of being dealt a royal flush in a five card hand from a standard deck of cards? (Note:
A royal flush is a 10, Jack, Queen, King, and Ace of the same suit. A standard deck has 4 suits, each with
13 distinct cards, including these five above.) (NB: The order in which the cards are dealt is unimportant,
and you keep each card as it is dealt -- it's not returned to the deck.)
The probability of drawing any card which could fit into some royal flush is 5/13. Once that card is taken
from the pack, there are 4 possible cards which are useful for making a royal flush with that first card, and
there are 51 cards left in the pack. therefore the probability of drawing a useful second card (given that the
first one was useful) is 4/51. By similar logic you can calculate the probabilities of drawing useful cards for
the other three. The probability of the royal flush is therefore the product of these numbers, or
5/13 * 4/51 * 3/50 * 2/49 * 1/48 = .00000154
Monthly installment payment is $597 .Total payments is $28,649
Step-by-step explanation:
Down payment = $29,000×7 ÷100= $2,030
Loan amount = $29,000 - 2,030 = $26,970
Interest rate = 2.99%
Repayment period = 48 months (4 years)
simple interest formula: A = P(1 + rt) where P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.
= 26,970 (1+0.0299) × 4) +p =$28,648.51
Monthly payment = $596.84 (or) $597 (rounded off)
Total payments is $28,649
9514 1404 393
Answer:
255
Step-by-step explanation:
The factorization of 50 is 2×5×5. The sum of these factors is 12, so these are the digits of interest. Arranged with 5 as the leading digit, the number is not less than 500, so 2 must be the leading digit.
The mystery number is 255.
Answer:
125.66 in2
Step-by-step explanation:
The area of the pizza is given by the formula:
Area = pi * radius^2
The radius of the pizza is half the diameter, so radius = 16/2 = 8 inches
Then, the total area is:
Area = pi * 8^2 = 64pi in2
They will put cheese in 5 of the 45° slices, so the total angle covered is 5 * 45° = 225°.
If the full area of the pizza is 360°, we can find the area covered by cheese using a rule of three:
360° -> 64pi in2
225° -> x in2
x = (225/360) * 64pi
x = 125.66 in2
