Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Problem 1:</u>
A standard deck of cards contains 52 cards, consisting of 13 spades. If you select only one randomly, the probability of that occurring would be 13/52 or 1/4. Since there are only 26 red cards in a standard deck, then the probability of selecting a red card would be 26/52 or 1/2. Because the two events are independent of each other, their probabilities are multiplied. Therefore, the probability of selecting a spade, and then replacing it in hopes of drawing a red card is (1/2)(1/4) = 1/8.
<u>Problem 2:</u>
We are selecting a spade and then another spade while NOT replacing the first spade (remember that these events are independent of each other also). This means that the total card count will change by picking up the second card. Therefore, the probability of selecting a spade, followed by another spade, is (13/52)(12/51) = 156/2652 = 1/17.
Answer:
Step-by-step explanation:
Answer:
8710 units
Step-by-step explanation:
<em>Step 1: Write all the data</em>
Fixed cost: $9000
Average variable cost: 9.3 per unit
Total cost: 90,000
Total units: x
<em>Step 2: Find the total variable cost</em>
Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.
Total variable cost = average variable cost per unit x number of units
Total variable cost = 9.3x
<em>Step 3: Make the formula for finding x</em>
Total cost = total fixed cost + total variable cost
90,000 = 9000 + 9.3x
81000 = 9.3x
x = 8709.67
Rounded off to 8710 units
!!
Answer:
$39.2
Step-by-step explanation:
The sale price will be 20% of $49 subtracted from $49
That’s
20% /100% x $49
0.2 x $49
$9.8
Sale price = $49 - $9.8
= $39.2
The sale price is $39.2
Multiplication is a simple way of adding
For example 6x8 is the same as 8+8+8+8+8+8
Any number multiplied by 1 is itself E.g 4x1 = 4
Multiplying by 2 is just doubling
Multiplying by 10 is adding a 0 to the original number
If it is a big number that you do not know how to multiply mentally split it up
E.g 17x13
Split 13 into 10 and 3
17x10= 170
17x3= 51
Then add these numbers
221
If you ever get stuck, use the long method, add them instead, you will get to the right answer but it will take longer
Dividing is not as simple
Like multiplication dividing by one will leave you with the same answer
Dividing by two means you half the number, which may give you a decimal
Bigger numbers are trickier, and you may be allowed to use a calculator for numbers
Below are a number of links, these websites will teach you how to improve your multiplication and division skills:
http://www.bbc.co.uk/schools/gcsebitesize/maths/number/decimalsrev3.shtml
https://m.youtube.com/watch?v=XiXeu9FxAcQ
https://www.tutorialspoint.com/multiply_and_divide_whole_numbers/multiplication_as_repeated_addition.htm
