Answer:
5 kmph
Step-by-step explanation:
Given: Greg swam 4 kilometers against the current.
Greg swam 16 kilometers with the current.
Rate of the current was 3kmph.
Lets assume the speed of greg swimming with no current be "x".
∴ Speed of swimming against current=
Speed of swimming with current=
As given, it took same amount of time to swim both with current and against current.
∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.
We know,
⇒
Multiplying both side by (x+3) and (x-3)
⇒
Using distributive property of multiplication.
⇒
Subtracting both side by 4x and adding by 48.
⇒
Dividing both side by 12
⇒
Hence, Greg can swim at the rate of 5kmph with no current.
Answer:
0.9962
Step-by-step explanation:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
μ = 20.66°C, σ = 2°C
For x < Singapore temperature, i.e. x < 26
From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962
Answer:
The limit of the difference quotient is simply the derivative, so we can express this as follows:
So our function is:
Taking the derivative, we have:
So the correct option is:
Answer:
The equation of the line that passes through the same point can be found as:
Where , so we need to find
. Plug in that x-value in the function we have:
And the slope is:
Then, the equation of the line is:
Answer: Shown below
As you can see below, the graph of the function of is continuous. This is so because we have plotted a polynomial function whose domain is the set of all real numbers. So the function is defined at the point
, so the derivative exists at this point, hence we can calculate a tangent line there. In conclusion, we get the graph shown below. The blue line is the tangent line while the red curve is the graph of
