Answer:
The answer is 
±
in exact form or 
, 
in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring 
, which will look like 
. Next, simplify the equation again, which will look like 
.
Then, use the quadratic formula to find the solutions. The quadratic formula looks like
.
For this problem, the quadratic variables are as follows:
The next step is to substitute the values , , and into the quadratic formula and solve. The quadratic formula will look like 
. To simplify the equation, start by simplifying the numerator, which will look like 
. Then, multiply 2 by 1 and simplify the equation, which will look like 
. The final answer is ± in exact form. In decimal form, the final answer is , .
Answer:
y = -1/2x - 1/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
y = -1/2x + 3/7
Point (-1, 0)
Step 2: Find parallel line
<em>Parallel lines have the same slope as the original but different y-intercepts.</em>
<em>m</em> = -1/2
y = -1/2x + b
0 = -1/2(-1) + b
0 = 1/2 + b
b = -1/2
Step 3: Write parallel line
y = -1/2x - 1/2
Answer:
150 students
Step-by-step explanation:
According to statement we have the following information
number of juniors=n=300
mean score=24
standard deviation score=4
The number of students that score above 24 is determined by
Number of students score above 24=number of juniors* P(student score above 24)
P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.
Students score above 24=np=300*0.5=150
Hence there are 150 students scored above 24.
Answer:
36
Step-by-step explanation:
1-40% = 1-0.4=0.6 or 60%
60% not good at art.
60*60% = 60*6/10 = 6*6 = 36
Answer:
B
Step-by-step explanation:
