Answer:
Measure of central angle is 3.665 radians
Step-by-step explanation:
In this question, we are trying to get the value of the central angle.
As we can see, the radius of the circle is 12cm while the length of the major arc is 14 pi cm.
Mathematically the length of an arc is calculated as follows;
Length of arc = theta/360 * 2 * pi * r
Plugging the values we have from the question;
14 pi = theta/360 * 2 * pi * 12
divide both sides by 2pi
7 = theta/360 * 12
360 * 7 = 12 theta
theta = (360 * 7)/12
theta = 210
Since 1 degree = pi/180 radian
it means 210 degrees = 210 * pi/180 = 3.665 radians
Answer:
s = sqrt [ Σ ( x i - x ) 2 / ( n - 1 ) ]
Step-by-step explanation:
where s is the sample standard deviation, x is the sample mean, x i is the ith element from the sample, and n is the number of elements in the sample. And finally, the standard deviation is equal to the square root of the variance.
Answer:
The correct option is;
Low
Step-by-step explanation:
Given that the P-value of the linear correlation = 0.001, we have that the P-value is a demonstration that a linear correlation that has a value in the range of the given correlation is ,most arguably very low
From the z-table, a P-value of 0.001 corresponds to a z-value of -3.09, we have that in a normal distribution since 95% of the scores have a z-score of between -2 and 2, the z-score of -3.09 is very distant from the mean and having a low value, whereby the P-value shows that the likelihood of finding another linear correlation that is as far from the mean as the given correlation is very low.
A. The area of a square is given as:
<span>A = s^2 </span>
Where s is a measure of a side of a square. s = (2 x – 5)
therefore,
<span>A =
(2 x – 5)^2 </span>
Expanding,
A =
4 x^2 – 20 x + 25
<span>B.
The degree of a polynomial is the highest exponent of the variable x, in this case
2. Therefore the expression obtained in part A is of 2nd degree.</span>
Furthermore,
polynomials are classified according to the number of terms in the expression.
There are 3 terms in the expression therefore it is classified as a trinomial.
<span>C.
The closure property demonstrates that during multiplication or division, the
coefficients and power of the variables are affected while during
multiplication or division, only the coefficients are affected while the power
remain the same.</span>
Answer:
y=3x+2
Step-by-step explanation:
For a the equation is y=3x+2 because he makes 3 every hour (3x) and he already has 2 (+2).
For the graph you replace x with any number and solve. Plot the point.
Then you do it again but with a different x.
Finally you draw a straight line trough the 2 points.
