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:
<em>19</em>
Step-by-step explanation:
has a factor and
when divided by , remainder is 20.
To find:Remainder when divided by (x-1) ?
Solution:
is a factor
when we put this value of x to the function, it will become 0.
i.e.
Remainder is 20 when f(x) is divided by
i.e.
Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):
By equation (1):
So, the equation becomes:
So, when divided by (x-1), remainder will be <em>19</em>.
(7-11) • (5) = -20
A. (5) • 7 + (5) • (-11)
↳ 35 + (-55)
↳ 35 - 55 = -20
B. -(-7+11) • (5)
↳ -4 • 5 = -20
C. (5) • 7 - (5) • 11
↳ 35 - 55 = -20
D. (7+11) • (5)
↳ 18 • 5 = 90
A B & C are correct
Answer:
your answer should be 90
Step-by-step explanation:
Answer:
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Step-by-step explanation:
Let
x = price of balcony tickets
y = price of orchestra tickets
y = 3x (1)
148y + 76x = 3,640 (2)
Substitute y = 3x into (2)
148y + 76x = 3,640 (2)
148(3x) + 76x = 3,640
444x + 76x = 3,640
520x = 3,640
x = 3,640/520
x = 7
Substitute x = 7 into (1)
y = 3x (1)
y = 3(7)
y = 21
x = price of balcony tickets = $7
y = price of orchestra tickets = $21