Answer:
32 seconds
Step-by-step explanation:
For some number of seconds (s), Tess's essay length (t) will be ...
t = 42 +1.3s
and Margo's essay length (m) will be ...
m = 122 -1.2s
We will have t > m when ...
t > m
42 +1.3s > 122 -1.2s
2.5s > 80 . . . . . . . . add 1.2s-42
s > 32 . . . . . . . . . . . divide by 2.5
After 32 seconds, Tess's essay will exceed Margo's in length.
Answer:
Step-by-step explanation:
1. 150 * π/180
= 150π/180
= 5π/6
=2.62
2. π/2
π/2 * 180/π
= 90 degrees
Answer:
2x² - 3x
Step-by-step explanation:
multiply the outside with the inside brackets
x × 2x = 2x²
x × (-3) = -3x
Answer:
The raw score for his exam grade is 99.69.
Step-by-step explanation:
Given : The professor announced that the mean for the class final exam was 88 with a standard deviation of 7. Given Daniel's z score of 1.67.
To find : What is the raw score for his exam grade?
Solution :
The formula use to find the z-score is

Where, z=1.67 is the z-score
is the means
is the standard deviation
x is the raw score for his exam grade
Substitute the values,





Therefore, the raw score for his exam grade is 99.69.
Answer:
slope is 2 and y-intercept is (0, 4)
Step-by-step explanation: