Answer:
66
Step-by-step explanation:
71+43=114
180-114=66
The advance tickets were 35 in number and the same day ticket will be 30 in number.
<h3>What will be the number of tickets?</h3>
To find out the number of the tickets sold we will give some notations so the notations are as follows:-
A= Cost of advance tickets=$30
S= cost of same-day ticket-=15
Number of the advance tickets
Number of same-day tickets.
The equations made by the given data will be:-

By solving the above equations:-

Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.
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Answer:
If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.
Step-by-step explanation:
Here in this question, we want to state what will happen if the null hypothesis is true in a chi-square test.
If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.
This is because at a higher level of discrepancies, there will be a strong evidence against the null. This means that it will be rare to find discrepancies if null was true.
In the question however, since the null is true, the discrepancies we will be expecting will thus be small and common.
Answer:
38.7°
Step-by-step explanation:
We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where
SOA stands for
Sin Ф = opposite side/hypotenuses side
CAH stands for
Cosine Ф = adjacent side/hypotenuses side
TOA stands for
Tangent Ф = opposite side/adjacent side
The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.
Considering the triangle with respect to angle x, 8cm is the opposite side, 10cm is the adjacent side
hence
Tan x = 8/10
Tan x = 0.8
x = tan -1 0.8
= 38.7°
M= -6/5
hope this helped!!