Answer:
x=2
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 30 = x/4
4 sin 30 =x
4 ( 1/2) =x
2 =x
The probability of finding a substandard weld is: p = 5% =
0.05 <span>
We are given that the sample size: n = 300
Using the Poisson Distribution , the average number of welds (m) is:</span>
m = n*p =
m = 300 * 0.05 <span>
m =15 </span>
<span>
The standard deviation of welds (s) is calculated by:</span>
s = sqrt (m)
s = sqrt (15)
s = 3.873
<span>
<span>Assuming normal distribution, the z value corresponding to 30
sub standards is:
z =( X - Mean) / standard deviation
z =(30 - 15) / 3.873
z = 15 / 3.873
z = 3.87</span></span>
<span>
<span>The z value based on the standard normal curves has a maximum
value of 3.49. Beyond that z value of 3.49 would mean exceeding 100%. Therefore
z = 3.87 is not normal and definitely it is unusual to find 30 or more
substandard.</span></span>
Answer:
Option B) y=-3x+10 is correct
The equation y=-3x+10 represnts a linear function.
Step-by-step explanation:
To verify that which equation represents a linear function:
Given y=-3x+10
Linear functions are functions whose graph is a straight line. A linear function can be written as y=f(x)=a+bx where x is the independent variable and y is the dependent variable.It has only one independent and dependent variables.
It can be written as y=10-3x
Given equation is also in the form of linear function where a=10 and b=-3
Therefore Option B) y=-3x+10 is correct
The equation y=-3x+10 represnts a linear function.
Answer:
y = x² - 3x - 28
Step-by-step explanation:
given a parabola with x- intercepts x = a and x = b , then
(x - a) and (x - b) are the corresponding factors and the equation is the product of its factors
y = (x - a)(x - b)
here the x- intercepts are x = - 4 and x = 7 , then the factors are
(x - (- 4)) and (x - 7) , that is (x + 4) and (x - 7) , then
y = (x + 4)(x - 7) ← expand using FOIL , then
y = x² - 3x - 28 ← in standard form