Answer:
C-10
A-90
B-10
Step-by-step explanation:
For rounding off to nearest tens, we compare the last digit.
Answer:
y = -1x + 2
Step-by-step explanation:
y = -1x + b
5 = -1(-3) + b
5 = 3 + b
2 = b
y = -1x + 2
748 student tickets were sold.
Step-by-step explanation:
Given,
Number of tickets sold = 1360
Revenue generated = $13328
Cost of each student ticket = $8
Cost of each non student ticket = $12
Let,
x be the number of student tickets sold
y be the number of non student tickets sold
According to given statement;
x+y=1360 Eqn 1
8x+12y=13328 Eqn 2
Multiplying Eqn 1 by 12

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 4

748 student tickets were sold.
Keywords: linear equation, elimination method
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Answer:
<em>No values of x can make f(x)=6</em>
Step-by-step explanation:
Equation with Absolute Value
The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.
The function provided in the question is:

We need to find the value(s) of x that make:
f(x)=6
It needs to solve the equation:

Subtracting 1:

Dividing by -0.5:

We reach to this equation to solve:

As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:
No values of x can make f(x)=6
Answer:
8 and 2.529
Step-by-step explanation:
The computation of the mean and the standard deviation is shown below:
Given that
Total number of questions is n = 40
The Probability of correct answer is p = 
So, the probability of the wrong answer is q =
= 
Moreover, this is the binomial distribution
Based on the above information
The mean is


= 8
Now the variance is

= 
So, the standard deviation is

= 2.529
hence, the mean and the standard deviation is 8 and 2.529 respectively