Answer:
a
Step-by-step explanation:
125 = 5 * 5 * 5 = 5³
90 = 2 * 3 * 3 * 5 = 2 * 3² * 5
92 = 2 * 2 * 23 = 2² * 23
As the number of hours spent working increases, the amount of time spent on video games decreases.
Going from left to right, we see that the points are moving down. This means that the hours working are going up and the video game hours are going down.
Answer:
a) 

And we can use the complement rule and we got:


And replacing we got:

b) 

And we can use the complement rule and we got:


And replacing we got:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the length of time waiting to be seated of a population, and for this case we know the distribution for X is given by:
Where
and
Part a
For this cae we want to find this probability:

And if we use the conditional probability formula we got:

We can solve the problem using the z score formula given by:



And we can use the complement rule and we got:


And replacing we got:

Part b

We can solve the problem using the z score formula given by:



And we can use the complement rule and we got:


And replacing we got:

Answer:
The width of the bathroom is 10ft.
Step-by-step explanation:
To find the area of a rectangle, we use the formula
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>area</em><em> </em><em>=</em><em> </em><em>width x length</em>
So we know that length is equal to 7 ft, and we also know the total area which is 70 sq.ft.
70 = ? x 7
multiplication and division are inverse operations, so we will divide instead
70 divided by 7 = 10
And we are done!!
hope this helps you, feel free to leave any questions in the comments!! :)