Answer:
47
Step-by-step explanation:
The number that should go after 23 is 47.
The pattern seems to be (n * 2) + 1, where n is the value of the previous number.
We start with the number 5:
5
(5 * 2) + 1 = 11
11
(11 * 2) + 1 = 23
23
(23 * 2) + 1 = 47
47
... and so on
The pattern should continue as follows.
Hope this helps!
For each equation give X a value and solve for Y, do this at least two times for each equation.
Plot those dots on a graph to draw two lines.
The solution is where the two lines cross.
You will see the lines cross at (-1,-2)
Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30

x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66
Answer:
The variance of the given data is 106.9667
Step-by-step explanation:
The variance, S² of a sample is given by the expression;

Where:
= One of the observations
= The mean of the observations
n = Number in the sample = 6
The mean = Σ
/n = (26 + 32 + 29 + 16 + 45 + 19
)/6 = 167/6 = 27.833
Therefore, we have;
S² = ((26 - 27.833)²+(32 - 27.833)²+(29 - 27.833)²+(16 - 27.833)²+(45 - 27.833)²+(19 - 27.833)²)/(6 - 1) = 106.9667.