Answer:
And we can find this probability on this way:
We expect around 68.27% between the two scores provided.
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 scores of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability on this way:
We expect around 68.27% between the two scores provided.
Answer:
The measure of the angles:
24° and 66°
Step-by-step explanation:
Complementary angles sum 90°
then:
(3x + 3) + (10x-4) = 90
3x + 10x + 3 - 4 = 90
13x - 1 = 90
13x = 90+1
13x = 91
x = 91/13
x = 7°
then:
3x+3 = 3*7 + 3 = 21+3 = 24°
10x - 4 = 10*7 - 4 = 70 - 4 = 66°
Check:
66° + 24° = 90°
Answer:
$
or ≈$
Step-by-step explanation
The question states that Mrs. Hadley spent $126.97 on one month, $237.81 on the next, and $198.42 on the last. To get the total, we can add these values together.

An estimation would be:

We can use this estimation to determine that the total value is reasonable.