Answer:
Let X = score of final exam.
X~normal(23, 16)
(a)
percentage of score between 19 and 27
= P(19 < X < 27)
= P((19-23) / sqrt(16) < Z < (27 - 23) / sqrt(16))
= P(-1 < Z < 1)
= 1 - P(Z <= -1) - P(Z >= 1)
= 1 - P(Z >= 1) - P(Z >= 1)
= 1 - 2*P(Z >= 1)
= 1 - 2(0.1587)
= 0.6826
= 68.26%
According to Normal Distribution Table
P(Z>=1) = 1 - P(Z<1) = 1-0.8413
So the final percentage is 68.26%
Answer: 2p - 2q
Step-by-step explanation:
(3p-10q)-(p-8q) is simply an algebraic expression.
To solve it, you first open the brackets
i.e 3p - 10q - p + 8q (the minus sign between the brackets have multiplied the next minus sign, so it becomes plus sign)
Now, collect the like terms of i.e common terms
= 3p - 10q - p + 8q
= 3p - p - 10q + 8q
= 2p - 2q
Thus, the final expression is 2p - 2q since it cannot be further simplified.
if you use a calculator the answer is 0.00559493
Answer:
The answer is C. Depression.
Step-by-step explanation:
Depression is defined as a severe and prolonged recession. Declining economic activity is characterized by falling output and employment levels. Generally, when an economy continues to suffer recession for two or more quarters, it is called depression.
The level of productivity in an economy falls significantly during a depression. Both the GDP (gross domestic product) and GNP (gross national product) show a negative growth along with greater business failures and unemployment. Depressions are relatively less frequent than milder recessions, and tend to be accompanied by high unemployment and low inflation.
Answer: 0; -2
Step-by-step explanation:
Data: y-intercept=x and slope=x
Equation=y=-2
Only step, Point out the y-intercept and slope
-2=y-intercept
0=slope
Reason: Since there is no visible slope, the placeholder would be 0 therefore the slope would be 0, -2 is the only number left so that means the only number that can be y-intercept is -2.
That is why the slope is 0 and the y-intercept is -2
I hope this helps!