In your sock drawer you have 6 blue, 7 gray, and 2 black socks. Half asleep one morning you grab 2 socks at random and put them
1 answer:
Answer:
a) 0.1429
b) 0.2667
c) 0.3067
d) 0.3524
Step-by-step explanation:
Blue = 6
Gray = 7
Black = 2
Number of socks = 15
a) 2 blue socks.
The probability of getting two consecutive blue socks is:
b) no gray socks.
The probability of getting no grey socks with two picks is:
c) at least 1 black sock.
The probability of getting at least one black sock is:
d) matching socks.
The probability of getting matching socks is the sum of the probabilities of getting 2 black, 2 blue or 2 gray socks:
You might be interested in
Answer:
h=0.4--> 15
h=0.2 --> 14.06
h=0.1 --> 13.71
Step-by-step explanation:
This is a numerical solution using Euler's method. Euler's method enables us to numerically approch a solution with a suitable step size. As the step size gets smaller, the approximation will be more accurate. Euler's method is as the following.
Here, h is the step size. The reason why first derivation used here is to make an appriximation with using the rate of increase or decrease. As the step size is smaller, the icreases or decreases are followed more accurately. Now, let's solve the question:
for h= 0.4:
y(0.4)=y(0)+0.4*y'
The trick here is y' is equal to y, thus we can write that y'=y(0.4) and our starting point y(0) is given as 9 in the question and the equation becomes:
y(0.4)=9+0.4*y(0.4) and this is easy to solve.By replacing y(0.4) functions to be at the same side of the equation, we get:
0.6*y(0.4)=9 and by solving this equation, y(0.4) is found to be 15.
for h=0.2:
This will be similar to the previous question, but since the step size is 0.2, we will first calculate y(0.2) and then y(0.4).
y(0.2)=y(0)+0.2*y(0.2) and y(0) is 9.
0.8*y(0.2)=9 and y(0.2)=11.25. Now, we will replace this value into the next iteration o the formula istead of y(0). The equation is like:
y(0.4)=y(0.2)+0.2*y(0.4) and y(0.4) is found to be 14.06.
for h=0.1:
This is also similar to the above solutions but will be longer and have 4 iterations.
first iteration: y(0.1)=9+0.1*y(0.1) --> y(0.1)=10
second iteration: y(0.2)=y(0.1)+0.1*y(0.2) --> y(0.2)=11.11
third iteration: y(0.3)=y(0.2)+0.1*y(0.3) --> y(0.3)=12.34
fourth iteration: y(0.4)=y(0.3)+0.1*y(0.4) --> y(0.4)=13.71
As the step size gets smaller, the answer also gets smaller and more accurate. With even smaller step sizes, there will be a better approximation. However, in case you have more complex equations or smaller step sizes, it is recommended to use a computer software to make an approximation.
Answer:
(b)The original price of the shoes is $60.
Explanation:
Part A
In this situation:
• 15% is the PERCENT
,• $9 is the PART
,• The original price is the WHOLE.
Part B
If 15% is taken off, the customer will save $9.
This means that 15% of the original price = $9.
Let the original price=p
The original price of the shoes is $60.