This question is incomplete, the complete question is;
Refer to the Exhibit Student Grades. A professor at a local university noted that the grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.
The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A
Answer:
the minimum score needed to receive a grade of A is 88.51
Step-by-step explanation:
Given the data in the question;
Let x represent the grades of the students that were normally distributed with mean μ = 73 and standard deviation σ = 11.
so, The professor has informed the class that 7.93 percent of her students received grades of A
the minimum score needed to receive a grade of A will be:
P( X > x ) = 7.93 %
P( X > x ) = 0.0793
1 - P( X ≤ x ) = 0.0793
- P( X ≤ x ) = 0.0793 - 1
- P( X ≤ x ) = - 0.9207
P( X ≤ x ) = 0.9207
⇒ P( X-μ/σ ≤ x-μ/σ ) = 0.9207
so, x-μ/σ = InvNormal( 0.9207 )
x-μ/σ = 1.41
(x - 73) / 11 = 1.41
(x - 73) = 1.41 × 11
(x - 73) = 15.51
x = 15.51 + 73
x = 88.51
Therefore, the minimum score needed to receive a grade of A is 88.51
Answer:
90 meters
Step-by-step explanation:
so, what we know is that there are 90 seconds in one minute and a half.
Sam can run 6 meters per second. which means after 90 seconds, he should have run 540 meters.
Tom can run 7 meters per second. This means after 90 seconds, he should have run 630 meters.
630-540 = 90
give brainliest please!
hope this helps :)
Answer:
x = 32
Step-by-step explanation:
-9 = x - 41
41 + (-9) = x -41 + 41
32 = x
Answer:
Step-by-step explanation:
One formula for the reproduction of bacteria is
Data:
N = 2
N₀ = 1
t = 15 min
Calculation:
Answer:
11. your choices are correct
12. 132°
Step-by-step explanation:
11. The given equations can be (re)written to slope-intercept form. Only those lines with a slope of 2 will be parallel to the given line.
A: y = 2x -8 . . . . . slope = 2, an answer
B: y = -2x +1 . . . . . slope = -2, not an answer
C: y = -2x +7 . . . . .slope = -2, not an answer
D: y = 2x +2 . . . . . slope = 2, an answer
E: y = -2x -9 . . . . . slope = -2, not an answer
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12. The marked angles are supplementary, so ...
(3x -6)° +(x +2)° = 180°
4x -4 = 180 . . . . . . . . . . . divide by °, collect terms
x -1 = 45 . . . . . . . divide by 4
x = 46 . . . . . . . . . add 1
Now, we can find the angle of interest.
∠PQR = (3x -6)° = (3·46 -6)°
∠PQR = 132°
