Answer:
11.70% probability someone will spend no more than 30 minutes reading online national news reports.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability someone will spend no more than 30 minutes reading online national news reports?
This is at most 30 minutes, so 30 or less minutes. This is the pvalue of Z when X = 30.
So
has a pvalue of 0.1170.
So there is a 11.70% probability someone will spend no more than 30 minutes reading online national news reports.
Answer:
B
Step-by-step explanation:
Each coordinate becomes 1/4 of what it was.
Answer: B
Answer:
-4/5
Step-by-step explanation:
Lets put the equation in slope intercept form
4x+5y = -20
Subtract 4x from each side
4x-4x+5y = -4x-20
5y = -4x-20
Divide each side by 5
5y/5 = -4x/5 -20/5
y = -4/5 x -4
The equation is in the form y = mx+b where m is the slope and b is the y intercept
the slope is -4/5 and the y intercept is -4
You can draw a diagram of the situation, representing it by a right triuangle.
In the right triangle the hypotenuse is the distance indicated by the radio signal, 1503 m, and the angle is 41°.
The opposed leg to 41° is the height of the ballon.
Then you can use the sine trigonometric function.
sine (41°) = opposed leg / hypotenuse = x / 1503 m => x = 1503m * sine(41°)
=> x = 986m.
Answer: 986m