Answer:
<h2>
19/3</h2>
Step-by-step explanation:
Given the expression
, we are to find the value of q;

Hence the value of q is 19/3
The probability can be calculated as given because there are a total of 52 cards.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of card = 52
Number of king of heart = 1
P(getting a king of hearts) = 1/52
P(getting a spade) = 13/52 = 1/4
P (getting a 5 or a club) = (16/52) = 4/13
P(getting a 5 or a 7) = 4/52 + 4/52 = 8/52 = 2/13
P(getting a card which is not a spade) = 1 - 1/4 = 3/4
P(getting 11 of clubs) = 1/52
Thus, the probability can be calculated as given because there are a total of 52 cards.
Learn more about the probability here:
brainly.com/question/11234923
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Answer:
y= -x
Step-by-step explanation:
<u>slope- intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -1, m= -1.
Substitute m= -1 into the equation:
y= -x +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 2, y= -2,
-2= -2 +c
c= -2 +2
c= 0
Thus, the equation of the line is y= -x.
Answer:
The volume of the cylinder = π r² h
where r is the radius of the cylinder and h is the height of the cylinder.
This is formula is applied for the right cylinder as figure 1 and oblique cylinder as figure2.
<u>The volume of the cylinder of figure 1:</u>
r = 6 and h = 7
volume = π r² h = π * 6² * 7 = 252π units³
<u>The volume of the cylinder of figure 2:</u>
r = 11 and h = 15
volume = π r² h = π * 11² * 15 = 1,815π units³