Answer:
a) E(x)=3.565
b) c=3.8475 --> P(X < 3.8475) = 0.75
c) The probability that X falls above or below 0.28 min from the mean is P=0.4954.
Step-by-step explanation:
We have the cumulative distribution function as information.
a) To calculate the expected value, we can calculate the value of x in which F(x) equals 0.5. This happens for x=3.565.
b) What is the value c such that P(X < c) = 0.75?
In this case, we have to calculate x to have F(x)=0.75
This happens for x=3.8475.
c) We have to calculate the probability that X falls above or below 0.28 min from the mean (x=3.565).
This is the probability that the time is between 3.285 and 3.845
We can calculate this as:
The probability that X falls above or below 0.28 min from the mean is P=0.4954.
Answer:
0.48 ± 0.058
Step-by-step explanation:
Right on khan
Answer:
5.5
Step-by-step explanation:
y = 0.5x + 5
Use the slope-intercept form to find the slope and y-intercept.
<em>Slope: 0.5
</em>
<em>y-intercept: 5
</em>
Any line can be graphed using two points. Select two <em>x</em> values, and plug them into the equation to find the corresponding values.
To find the y intercept using the equation of the line, plug in 0 for the <em>x</em> variable and solve for y.
<em>y = 0.5(0) + 5
</em>
<em>y = 5</em>
To graph the y intercept using the equation of the line, plug in 1 for the x variable and solve for y.
<em>y = 0.5(1) + 5
</em>
<em>y = 5.5
</em>
Which means when x is 0, y intercept at 5 and when x is 1 y intercept at 5.5. Graph the line using the slope and the y-intercept, or the points.
This tells us, in practical terms, that, for every one unit that the x-variable increases (that is, moves over to the right), the y-variable increases (that is, goes up) by 50% of a unit.
Answer:
49
Step-by-step explanation:
the number would simply be
14÷2=7
7²=49