Answer:
0.0959
Step-by-step explanation:
There are 18+24+7+25=74 coins in the jar
Let's call
P(p) = 18/74 the probability of grabbing a penny
P(d) = 24/74 the probability of grabbing a dime
P(n) = 7/74 the probability of grabbing a nickel
P(q) = 25/74 the probability of grabbing a penny
What is the probability that you reach into the jar and randomly grab a dime and then, without replacement, a nickel?
Here we want to find P(n | d) the probability of grabbing a nickel given that you already grabbed a dime.
By the Bayes' Theorem
Now,
P(d | p) = 24/73 since there are now 73 coins and 24 dimes.
Similarly,
P(d | d) = 23/73 for you already grabbed a dime
P(d | n) = 24/73
P(d | q) =24/73
Replacing in the Bayes' formula
So
P(n | d) = 0.0959
Answer:
D. 16%
Step-by-step explanation:
Answer:
Car B has the better fuel economy.
Step-by-step explanation:
Calculate the fuel consumption for the two cars:
Car A: (450 km) / (40.5 L) = 1.11 km per L
Car B: (220 km) / (18.7 L) = 1.18 km per L
Car B goes further on one L of gasoline than Car A.
Answer:
Step-by-step explanation:
2log(x-3)=log25
log(x-3)²=log25 cancel out log on both sides
(x-3)²=25
x²-6x+9=25
x²-6x+9-25=0
x²-6x-16=0 factorize
x²+2x-8x-16=0
x(x+2)-8(x+2)
(x-8)(x+2)=0
x-8=0 or x+2=0
x=8 or x=-2
x=-2 cannot be considered because of the -ve sign.
x=8.
check
2log(x-3)
2log(8-3)
2log5
log5²=25
therefore LHS=RHS
Answer:
y = 5x - 4
Step-by-step explanation:
The equation y = 5x + 9 currently does not pass through the point (3, 11). It asks us to create the equation of a line parallel to y = 5x + 9. So all we have to change is the 9, where the line passes through the y-coordinate. The slope, 5x, has to stay the same, otherwise, the new line will not be parallel to y = 5x + 9.
The line has to pass through to point (3, 11). The 3, stands for the x value, and 11 the y value. If we start at the y value of -4, that means the very next point would be (1, 1), and the next one, (2, 6), and the final one, (3, 11). This is because we know the slope of the line is 5x, that means for every 1 gained x value, the y value gains 5 values.
So, the equation of the new line would be this:
y = 5x - 4
I Hope That This Helps! :)