Answer:
1/89
Step-by-step explanation:
Answer:
Question 1:
Here total number of students GPA is given = 50
Number of people who have GPA more than 3.69 = 5
Therefore,
Pr(That a student has GPA more than 3.69) = 5/50 = 0.1
Here X ~ NORMAL (3.12, 0.4)
so Pr(X > 3.69) = Pr(X > 3.69 ; 3.12 ; 0.4)
Z = (3.69 - 3.12)/ 0.4 = 1.425
Pr(X > 3.69) = Pr(X > 3.69 ; 3.12 ; 0.4) = 1 - Pr(Z < 1.425) = 1 - 0.9229 = 0.0771
Question 2
Here GPA would be above 95.54th percentile
so as per Z table relative to that percentile is = 1.70
so Z = (X - 3.12)/ 0.4 = 1.70
X = 3.12 + 0.4 * 1.70 = 3.80
so any person with GPA above or equal to 3.80 is eligible for that.
Answer:
C
Step-by-step explanation:
because acute angles have to be less than 90 degrees so therefore it's C.
So Serena is 10, and her mother is 3 times ten, so her mother is 30. And if we take 30 minus 10 we will have the age of the mom when Serena was born, which is 20. So we know that when Serena is 20, her mother will be 40. So when Serena is 20, she will be half of her mother's age. 40 × 0.5 = 20.
1)
and
and
bisect each other (given)
2)
is a parallelogram (a quadrilateral with diagonals that bisect each other is a parallelogram)
3)
is a rhombus (a parallelgoram with congruent diagonals is a rhombus)
4)
(halves of congruent segments are congruent)