Answer:
The required probability is
Step-by-step explanation:
Consider the provided information.
We need to find the probability that the first flip results in a head.
Therefore probability of lending head is
The first flip is head can be calculated as:
Integrate the above function as shown below:
Hence, the required probability is
Answer:
The rate of change in the submarine's elevation is 26.0 feet per second.
Step-by-step explanation:
She begins 151 feet below sea level
Thus, her initial point is y₁ = 151 feet below sea level
i.e. at t₁=0 seconds, y₁ = 151 feet below sea level
After descending for the 3 seconds, she is 229 feet below sea level.
Thus, her second point is y₂ = 229 feet below sea level after 3 seconds
i.e. at t₂=3 seconds, y₂ = 229 feet below sea level
The rate of change is basically the slope. Thus, the rate of change can be obtained by taking the slope.
slope = rate of change = (y₂ - y₁)/(t₂ - t₁)
= (229 - 151) / (3 - 0)
= 78/3
= 26.0
Therefore, the rate of change in the submarine's elevation is 26.0 feet per second.
Answer:
<h2>The answer is - 16</h2>
Step-by-step explanation:
<h3>
</h3>
where
n is the number of terms
From the question since we are finding the 5th term
n = 5
Substitute the value into the above formula and solve
We have
We have the final answer as
<h3>- 16</h3>
Hope this helps you
If 60% out of the 2,660 students are males, then
40% out of t<span>he same 2,660 students are females
Ten the number of females is 40% x 2660 = 0.4 x 2660 = 1,064 females</span>
Answer:
Step-by-step explanation:
As we move from the point (2, 4) to the point (3, 6), x increases by 1 and y increases by 2. Thus the slope of the line connecting these two poins is m = rise/run = 2/1, or just 2.
Use the basic point-slope equation: y - k = m(x - h). Substitute 2 for x, 4 for y and 2 for m:
y - 4 = 2(x - 2). This is the desired equation in point slope form.
To find the equation in standard form, perform the multiplication as follows:
y - 4 = 2x - 4. We want this to look like Ax + By = C.
Thus, subtract 2x from both sides:
-2x + y = -4, or
2x - y = 4 This is the desired equation in Standard Form.