Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>32</u></em></h2>
Step-by-step explanation:
4x - 7 - 3x + 4 =25
=> 4x - 3x = 25 + 7
=> <em><u>x = 32 (Ans)</u></em>
Each dive goes further down, so it represents -50 ft (not positive which would represnt going up).
y= -125-50x
We know that there are 3 dives so plug that in for x
y= -125-50(3)
y= -125-150
y= -275
Final answer: -275 ft
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
9514 1404 393
Answer:
y = 5x -2
Step-by-step explanation:
The slope is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (8 -3)/(2 -1) = 5
The y-intercept is given by the formula:
b = y -mx
b = 3 -5(1) = -2
Then the slope-intercept form equation is ...
y = mx +b
y = 5x -2 . . . . . . . . using the m and b we found above
Answer:
44
Step-by-step explanation:
1/2m-3/4n=16 , m when n=8
1/2m-3/4n=16
1/2m - 3/4(8) = 16
1/2m - (8 x 3)/4 = 16
1/2m - (24/4) = 16
1/2m - 6 = 16
1/2m = 16 + 6
1/2m = 22
m = 22 x 2
m = 44
