Answer:
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Answer:
1) n^2 – 3 n + 8 4^2 – 3*4 + 8 = 12
2) (x^2 – 4 y) / 2 (16 + 12) / 2 = 14
3) 4 * |-7 – 2| = 4 * 9 = 36 Abs -9 = 9
4) 19 – x^2 = 19 – 25 = -6 (-5)^2 = 25
5) S^2 t – 10 = -8^2 * ¾ -10 = 64 * ¾ - 10 = 38
6) 4 p^2 + 7 q^3 = 4 * 9 + 7 * (-8) = - 20 (-2)^3 = -8
The price of ticket last year is $ 1231.65
<em><u>Solution:</u></em>
Given that,
This year, Sophia paid $1,071 for season tickets to her favorite baseball team , which is 15% cheaper than last year
To find: Price of season ticket last year
Let the price of season ticket last year be "x"
Therefore, according to question
Price of ticket this year is 15 % cheaper than price of ticket last year
1071 = price of ticket last year - 15 % of 1071
1071 = x - 15 % of 1071
Solve the above expression for "x"

Thus price of ticket last year is $ 1231.65
Question 1
probability between 2.8 and 3.3
The graph of the normal distribution is shown in the diagram below. We first need to standardise the value of X=2.8 and value X=3.3. Standardising X is just another word for finding z-score
z-score for X = 2.8

(the negative answer shows the position of X = 2.8 on the left of mean which has z-score of 0)
z-score for X = 3.3

The probability of the value between z=-0.73 and z=0.49 is given by
P(Z<0.49) - P(Z<-0.73)
P(Z<0.49) = 0.9879
P(Z< -0.73) = 0.2327 (if you only have z-table that read to the left of positive value z, read the value of Z<0.73 then subtract answer from one)
A screenshot of z-table that allows reading of negative value is shown on the second diagram
P(Z<0.49) - P(Z<-0.73) = 0.9879 - 0.2327 = 0.7552 = 75.52%
Question 2
Probability between X=2.11 and X=3.5
z-score for X=2.11

z-score for X=3.5

the probability of P(Z<-2.41) < z < P(Z<0.98) is given by
P(Z<0.98) - P(Z<-2.41) = 0.8365 - 0.0080 = 0.8285 = 82.85%
Question 3
Probability less than X=2.96
z-score of X=2.96

P(Z<-0.34) = 0.3669 = 36.69%
Question 4
Probability more than X=3.4

P(Z>0.73) = 1 - P(Z<0.73) = 1-0.7673=0.2327 = 23.27%