Answer:
x = 19/2 and 1/2
Step-by-step explanation:
General form of a quadratic equation is expressed as:
ax²+bx+c = 0... (1)
The quadratic formula used to find the solution to the equation is given as:
x = -b±√b²-4ac/2a
Given the quadratic trinomial: x²−10x + 4.75... (2)
a) To get a, b and c, we will compare the given equation (2) to the general equation (1)
Based on the comparison,
a = 1, b = -10 and c = 4.75
b) We will substitute this values of a, b and c into the quadratic formula to have;
x = -(-10)±√(-10)²-4(1)(4.75)/2(1)
x = 10±√100-19/2
x = 10±√81/2
x = (10±9)/2
x = (10+9)/2 and (10-9)/2
x = 19/2 and 1/2
The answer to the equation are 19/2 and 1/2
Answer:
c
Step-by-step explanation:
y-6<0,y<6
all graphs satisfy it
y<x+4
when x=0,y<4
c satisfies it.
y+6>-3x
when x=0,y>-6
c satisfies it.
a b
c d
Answer:
1) 275
2)60
Step-by-step explanation:
1) 55 x 5 =275
2) 12 x 5 = 60
<em><u>Hope it helps!</u></em>
Answer:
Yes there is sufficient evidence to reject the company's evidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 25
The mean is 
The standard deviation is 
The z-score is z = -1.94
The null hypothesis is 
The alternative hypothesis is 
Generally the p-value is mathematically evaluated as
From the z table the area under the normal curve to the left corresponding to -1.94 is
=> 
=> 
Let assume the level of significance is 
Hence the 
this mean that
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the company's evidence
Answer:
Area= 64pi or 201.06
Circumference: 16pi or 50.265
Step-by-step explanation:
Area= \pi r^{2}
pi (8)^2 = 64pi or 201.06
Circumference= 2pir , 2(pi)8 = 16pi or 50.2
