Answer: 2x+8=12, 5x+4=29
Step-by-step explanation:
2x2=4+8=12
5x5=25+4=29
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.
The SAS congruence is basically:
S- side
A- angle
S - side
If two triangles have two congruent sides and share one angle (or have one angle in between), then it (the triangles) are considered congruent.
There are 9 choices for the first digit: {0, 1, 2, 3, 4, 5, 7, 8, 9}
There are 10 choices for the second digit: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
There are 10 choices for the third digit: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
There are 5 choices for the fourth digit: {0, 2, 4, 6, 8}
Multiply the number of choices per digit to get: 9*10*10*5 = 90*50 = 4500
Answer: 4500
