7n = p+5m+3
n = (p+5m+3)/7
Answer:
a. 2.28%
b. 30.85%
c. 628.16
d. 474.67
Step-by-step explanation:
For a given value x, the related z-score is computed as z = (x-500)/100.
a. The z-score related to 700 is (700-500)/100 = 2, and P(Z > 2) = 0.0228 (2.28%)
b. The z-score related to 550 is (550-500)/100 = 0.5, and P(Z > 0.5) = 0.3085 (30.85%)
c. We are looking for a value b such that P(Z > b) = 0.1, i.e., b is the 90th quantile of the standard normal distribution, so, b = 1.281552. Therefore, P((X-500)/100 > 1.281552) = 0.1, equivalently P(X > 500 + 100(1.281552)) = 0.1 and the minimun SAT score needed to be in the highest 10% of the population is 628.1552
d. We are looking for a value c such that P(Z > c) = 0.6, i.e., c is the 40th quantile of the standard normal distribution, so, c = -0.2533471. Therefore, P((X-500)/100 > -0.2533471) = 0.6, equivalently P(X > 500 + 100(-0.2533471)), and the minimun SAT score needed to be accepted is 474.6653
Answer:
y-intercept = (0, -2)
x-intercept = (2, 0)
Step-by-step explanation:
The y-intercept is the value of y when x = 0. Therefore, Given the linear equation, y = x - 2:
Let x = 0:
y = 0 - 2
y = -2.
Therefore, the y-intercept of the linear equation, y = x - 2 is (0, -2).
The x-intercept is the value of x when y = 0.
Therefore, let y = 0:
y = x - 2
0 = x - 2
Isolate x by adding 2 to both sides of the equation:
0 + 2 = x - 2 + 2
2 = x
Therefore, the x-intercept is (2, 0).
5x$12=$60 (spent on scarves)
2x5=10 (no of scarves in all)
$125-$60=$65 (total spent on scarves)
$65÷10=$6.50
Ans: $6.50
