Step-by-step explanation:
1. if the number of pages in the 1st day is 'x', then the 2d day - 'x+10', the 3d day - 'x+20', the 4th day - 'x+30', the 5th day - 'x+40' and the last day - 'x+50' pages;
2. if the sum of all the pages is 300, then it is possible to make up the equation:
x+x+10+x+20+x+30+x+40+x+50=300;
3. x=25, it means:
1st day - 25;
2d day - 35;
3d day - 45;
4th day - 55;
5th day - 65;
6th day - 75 pages.
In simplified form it is 5x+5
Answer:
d. 200 and 2
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
Mean = 200
Standard deviation = 18
Sample size: 81
Standard error:
So the correct answer is:
d. 200 and 2
Answer: x = -7 or x = -4
Step-by-step explanation: When an equation has a squared term in it
such as x² + 11x + 28 = 0, it's called a polynomial equation.
The rule for solving a polynomial equation
is to first set it equal to zero, then factor.
Since this equation is already set equal to zero,
our first step is to factor the left side of the equation.
To factor x² + 11x + 28, we need the factors
of 28 that add to 11 which are 7 and 4.
So we have (x + 7)(x + 4) = 0.
Whenever two terms are multiplied together to equal zero,
this means that either one or the other must equal zero.
So if (x + 7)(x + 4) = 0, then either x + 7 = 0 or x + 4 = 0.
Solving each equation from here, we get x = -7 or x = -4.
So our solution is {-7, -4}.