There are 13 heart cards
Now 1 heart card can be drawn from a pack of 13 heart cards in 13C1 ways
13C1=13
Also,1 card can be drawn from a pack of 52 cards in 52C1 ways
52C1=52
The probability of drawing a heart card from a pack of 52 cards is
13/52=1/4
there are 26 black cards in total
(13 spades +13 clubs)
Now 1 black card can be drawn from a pack of 26 black cards in 26C1 ways
26C1=26
Also,1 card can be drawn from a pack of 52 cards in 52C1 ways
52C1=52
The probability of drawing a black card from a pack of 52 cards is
26/52=1/2
Now as both the task are performed one after the other and after replacement so the probability of drawing a heart after a black card is
=1/2 * 1/4
=1/8
15 - natural (1,2,3...15....) and integers (...-2,-1,0, 1,2,...15,...)
Answer:
- 2
+ 5x² - 2x + 4
Step-by-step explanation:
A polynomial in standard form has the leading term( first term) of the term with the largest exponent.
Other terms then follow in descending powers.
Given
5x² - 2
+ 4 - 2x
The term with the largest exponent is - 2
← becomes first term
Thus the polynomial can be expressed as
- 2
+ 5x² - 2x + 4 ← in standard form
Answer:
Mona will save a total of $7 by going to Carpet World.
Step-by-step explanation:
First, we need to calculate the total area of the floor by multiplying the width by the length...
5m * 8m = 40m
Now we calculate the amount that it would cost to buy the carpet from each of the establishments. For the first establishment, we can buy 16
and get the next 8
half off and that would leave another 16
at full price. The second establishment we have a 5% off (0.95 of official price) for every 8
, since out total area is 5 times this amount then our total will have a 5% off.
Establishment 1: (16
* 2.20) + (8
* 1.10) + (16
* 2.20) = $79.20
Establishment 2: (40
* 1.90) * 0.95 = $72.20
Difference: 79.20 - 72.20 = $7
Mona will save a total of $7 by going to Carpet World.
Answer: No real solutions.
Step-by-step explanation: