Answer:
The correct answer is certain with probability equal to 1.
Step-by-step explanation:
Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.
We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.
Here the experiment is picking a blue card from a bag containing all blue cards.
Possible outcomes are all the cards colored blue in the bag.
Total outcomes are also all the blue cards in the bag.
∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.
Answer:
66%(technically 0.66 repeating)
Step-by-step explanation:
We need to figure out what percentage of 69 equates to 46. In other words, we need to figure out what percentage <u>times</u> 69 equals 46:
Now that we formed this equation, we can solve for the percentage as if it was x.
First lets simplfy:
Now we can solve for x just by getting x alone, which means we must remove the coefficent. We can do this by dividing both sides of the equation by 69:
=
Putting this into the form of percentage, we must multiply by 100. Since, the percentage form of a decimal is 100 times bigger(moved up 2 decimal places):
=
percentage = 66%
Hope this helps! :3
Answer:
$2,400
Step-by-step explanation:
Ken intends to start a savings account
10% = leisure spending
This means 90% = Expenses for school
Let us represent the amount he must save as : x
Hence in other for him to have $2,160 in his savings account, the amount Ken must earn is calculated as:
90/100 × x = $2,160
Cross Multiply
90x = $2,160 × 100
x = ($2,160 × 100) ÷ 90
x =$2,400
Therefore, the amount Ken has to earn to have the amount needed for school is $2,400
Answer:
Explanation: L = longer piece S = shorter piece
L + S = 22
L = 4 + S
S + S + 4 = 22
-4 -4
S + S = 18
S = 18/2 = 9 cm
L = 4 + S —> 4 + 9 = 13 cm
To confirm:
13 cm + 9 cm = 22 cm
Therefore, the shorter piece is 9 cm.
Answer: 0.92 pounds
Step-by-step explanation:
Roberto will make 11 pounds of fudge but wants to give it away as presents to 12 friends.
Each friend will therefore get;
= 11 pounds/ 12
= 0.92 pounds
