Answer:
And we can solve for the value of X like this:
And since we know that z=2 we can replace and 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 scores of a population, and for this case we can assume the distribution for X is given by:
Where 
and 
And for this case the z score is given by:
And we can solve for the value of X like this:
And since we know that z=2 we can replace and we got:
Answer:
Jack has $2.20 left.
Step-by-step explanation:
We have to add 5.50 and 2.30 to find his cost.
2.30 + 5.50 = 7.80.
Then, subtract it from $10.00
10.00 - 7.80 = 2.20
Jack has $2.20 left
hope this helped!
Step-by-step explanation:
Given that
From the figure :
m angle 1 = 48°
Let m angle 2 = x°
And it is clearly m angle 1 and m angle 2 = 90°
90° = m angle 1 + m angle 2
Substitute the above values in equation then
⇛90° = 48°+x°
Shift the constant 50 from RHS to LHS, changing it's sign.
⇛ 90°-48° = x°
⇛42° = x°
⇛ x° = 42°
Therefore, m angle 2 = 42°
<u>Answer</u><u>:</u> Hence, the value of m angle 2 is 42°
<u>Additional</u><u> comment</u><u>:</u>
The sum of the two angles is 90° then they are Complementary angles. The Complementary angle of x° is (90-x)°
Please let me know if you have any other questions.
Answer:
C
Step-by-step explanation:
To evaluate f(g(7)), substitute x = 7 into g(x), then substitute the result into f(x)
g(7) = (2 × 7) - 5 = 14 - 5 = 9, then
f(9) = 3(9)² - 4 = 243 - 4 = 239 → C
