Answer:

Step-by-step explanation:
Hello,
I am going to start with to change to a improper fraction:
1. I will convert 6 and 9/10 into a improper fraction:

2. Now that I have converted the mixed fraction into a improper I can multiply the numerator and the denominator.

3. Now I can simplify this value and convert it into a mixed fraction

After further simplifying I can convert this into an mixed number
Answer:
opposite of -7 is 7 the oppositeof 3 is -3 oppositeof -4 is 4
Answer:
(A)6 kilometers
Step-by-step explanation:
First, we determine the value of a using Pythagoras Theorem.

Therefore:
Distance along the long route = 8 + 15 =23 km
Distance along the shortcut =17 km
Difference =23-17 =6km
Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.
Answer:
And using the normal standard table or excel we find the probability:

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 avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then, the distribution for the sample mean
is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:

Answer:
The length is 5.2 and the width is 3 and the area is 15.6
Step-by-step explanation:
To get the area just multiply width by length