The chances of finding either a work authored by a woman or a work written by a man in a book chosen at random are 25/33.
Probability is synonymous with possibility. It is concerned with the occurrence of a random event. Probability can only have a value between 0 and 1.
The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is found as;
Hence the chances of finding either a work authored by a woman or a work written by a man in a book chosen at random are 25/33.
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Answer:
The correct answer is C. 25/33.
Step-by-step explanation:
I got it right on the Edmentum test.
B. 2.50p ≥ 135; p ≥ 54
C. 2.50p ≥ 135; p ≥ 132.5
D. 135p ≥ 2.50; p ≥ 54
Answer:
2.50p ≥ 135 , p ≥ 54.
Thus, option (B) is correct.
Step-by-step explanation:
Given: The French club is sponsoring a bake sale and their goal is to raise at least $135.
We have to find the number pastries they must sell at $2.50 each in order to meet the given goal.
Let p be the number of pastries baker sales.
Then cost of p pastries at $2.50 each is 2.50p
and the goal is to raise at least $135 (135 or more than 135)
Thus, inequality becomes,
2.50p ≥ 135
Solving inequality,
Divide both side by 2.50, we have,
Simplify, we have,
p ≥ 54.
Thus, option (B) is correct.
Answer:
B
Step-by-step explanation:
Gradpoint
On Solving equation in one variable 0.4x = 5.2, we found that the clerk returned 13 dimes, 34 quarters and4 nickels in change of $10 bill.
What is an linear equation in one variable?
Linear equation is an equation containing one variable with power one and constants.
Standard form of an linear equation in one variable x is :
ax + b= 0 , a, b are constants
x= -b/ a is solution if this equation. Linear equation can be solved by adding or subtracting , multiplying , division same number to both sides.
A clerk need a change of $10 bill
Let the clerk returned x dimes and y nickels and z quarters to pay $10
Value of one nickel = $ 0.05, one dime = $ 0, one quarter = $ 0.25
Value of x dimes becomes 0.1x
Value of y nickels becomes 0.05 y
value of z quarters becomes 0.25 z
Total value of given dimes, quarters and nickels , 0.1 x + 0.05 y + 0.25z = 10
Number of dimes = Number of nickels + 9
∴ x = y +9 ⇒ y = x- 9
Number of quarters = Number of dimes +21
∴ z = x + 21
Put y = x-9 and z = x + 21 in 0.1 x + 0.05 y + 0.25z = 10
Then,
0.1 x + 0.05 ( x-9) + 0.25 (x +21) = 10
⇒ 0.1 x +0.05x -0.45 + 0.25 x + 5.25 = 10
⇒ 0.4x +4.8 = 10
⇒ 0.4 x = 10- 4.8
⇒ 0.4x = 5.2
⇒ x = 5.2/0.4 = 13
Thus , y = x-9 = 13 -9 = 4
z = x + 21 = 13 + 21 = 34
Therefore, the clerk returned 13 dimes , 4 nickels and 34 quarters for $10 bill.
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