The price of a senior citizen ticket is $8 and the price of a student ticket is$ 10
Step-by-step explanation:
Let the cost of one seniors citizen ticket be x and student be y
First day:
10 seniors citizen tickets and 11 student for a total of $190.
10x + 11y = 190-----------------------------(1)
Second day:
$160 on the second day by selling 5 senior citizen tickets and 12 student tickets.
5x + 12y = 160---------------------------------(2)
Multiply eq(2) by 2
10x + 24y = 320----------------------------(3)
Subtract eq(1) from (3)
10x + 24y = 320
10x + 11y = 190
-----------------------------
0x + 13 y = 130
---------------------------
13y = 130

y = 10-------------------------------(4)
Substituting (4) in (2)
5x + 12(10) = 160
5x + 120 = 160
5x = 160-120
5x = 40

x = 8
Answer:
a) CI = ( 5,1 ; 5,7 )
b) SE = 0,1
Step-by-step explanation:
a) Sample random n = 100
Mean = μ = 5,4
Standard deviation s = 1,3
CI = 99 % α = 1 % α = 0,01 α/2 = 0,005
z(c) for 0,005 is from z-table z(c) = 2,575
z(c) = ( X - μ ) /s/√n CI = μ ± z(c) * s/√n
CI = 5,4 ± 2,575* 1,3/10
CI = 5,4 ± 0,334
CI = ( 5,1 ; 5,7 )
b) SE = Standard deviation / √n
SE = 1,3 /10 SE = 0,1
We can support that with 99 % of probability our random variable will be in the CI.
Answer:
Step-by-step explanation:
Let the numbers are 2x and 2x + 2.
<u>We have:</u>
- (2x + 2x + 2)² = (2x)² + (2x + 2)² + 48
- 4(2x + 1)² = 4x² + 4(x + 1)² + 48
- (2x + 1)² = x² + (x + 1)² + 12
- 4x² + 4x + 1 = x² + x² + 2x + 1 + 12
- 2x² + 2x - 12 = 0
- x² + x - 6 = 0
- (x - 2)(x + 3) = 0
- x = 2, x = -3
<u>The numbers are:</u>
Answer:
man it’s one in the morning and your picture is blurry a f
Step-by-step explanation:
Answer:
0, 1, 2, 3, 4, 5
Step-by-step explanation:
When you divide a natural number by 6, the remainders you can get are 0, 1, 2, 3, 4, and 5. Hope this helps!