Answer:
3/5
Step-by-step explanation:
To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)
Answer:
Step-by-step explanation:
Notice that all three sides of the given triangle has one tick mark.
This means that all three sides are congruent, meaning that we have an equilateral triangle.
And for equilateral triangles, all three angles are also congruent.
So:
Also, recall that the interior angles of a triangle is always 180. Thus:
Substitute:
Combine like terms:
Substitute:
Multiply:
Thus:
And we are done!
The strategy that Lucy uses to recall her phone number is what is known as Chunking.
<h3>What is Memory?</h3>
This refers to the place where information is stored for future use and can either be a short or long-term memory.
Hence, we can see that based on the breaking down of her phone numbers of Lucy into a particular format that separates them using country/state code, she is making use of chunking.
This method of chunking is effective because it would help Lucy to recall her number quite easily.
Read more about memory here:
brainly.com/question/24688176
#SPJ1
Question:
Approximate log base b of x, log_b(x).
Of course x can't be negative, and b > 1.
Answer:
f(x) = (-1/x + 1) / (-1/b + 1)
Step-by-step explanation:
log(1) is zero for any base.
log is strictly increasing.
log_b(b) = 1
As x descends to zero, log(x) diverges to -infinity
Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.
Find a such that f(b) = 1
1 = f(b) = (-1/b + 1)/a
a = (-1/b + 1)
Substitute for a:
f(x) = (-1/x + 1) / (-1/b + 1)
f(1) = 0
f(b) = (-1/b + 1) / (-1/b + 1) = 1
Hello!
We know that the sum of the three angles of a triangle is equal to 180 degrees. This can be represented using the following formula:
A1 + A2 + A3 = 180
With this knowledge, we can successfully find the missing measurements.
We’ll begin with the large right triangle. Because it is a right triangle, we know that one of its angles is equal to 90 degrees. We are also given that its second angle has a measure of 65 degrees. Insert this information into the formula above and combine like terms:
(90) + (65) + A3 = 180
155 + A3 = 180
Now subtract 155 from both sides of the equation:
A3 = 25
We have now proven that the third angle has a measure of 25 degrees. Looking at the provided image, you’ll notice that this 25 degree angle is adjacent to the 80 degree angle. We can add these neighboring angles to find one of the missing angles of the medium triangle:
25 + 80 = 105
We have now proven that this larger angle has a measure of 105 degrees. Looking again at the provided image, you’ll notice that this triangle also contains a 50 degree angle. Using the “three-angles” formula, we can find the remaining angle of the medium triangle. Insert any known values and combine like terms:
(105) + (50) + A3 = 180
155 + A3 = 180
Now subtract 155 from both sides of the equation:
A3 = 25
We have now proven the third angle of the medium triangle to have a measure of 25 degrees. Consequently, we now have now proven two of the three angles of the smallest triangle. Again using the “three-angles” formula, we can find the measure of the missing angle (x). Insert any known values (using the variable “x” to represent the missing angle) and combine like terms:
(25) + (25) + (x) = 180
50 + x = 180
Now subtract 50 from both sides:
x = 130
we have now proven that the missing angle (x) has a measure of 130 degrees.
I hope this helps!
second angle which has a value of 65 degrees.
