First write it in vertex form :-
y= a(x - 2)^2 + 3 where a is some constant.
We can find the value of a by substituting the point (0.0) into the equation:-
0 = a((-2)^2 + 3
4a = -3
a = -3/4
so our equation becomes y = (-3/4)(x - 2)^2 + 3
Answer:
By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of the sample:
14.8 credit hours per semester.
So
By the Central Limit Theorem, the best point estimate for the average number of credit hours per semester for all students at the local college is 14.8.
Answer:
16 yd. This is the park's actual length.
Step-by-step explanation:
Write and solve an equation of ratios:
1 1/4 cm 8 yd
------------ = -----------
2 1/2 cm x
Note that 2(1 1/4 cm) = 2 1/2 cm, so the above equation becomes:
1 8 yd
----- = ---------
2 x
Solving for x, we get x = 16 yd. This is the park's actual length.
Answer:
Step-by-step explanation:
Let x = calories in chocolate bar
¼x = ¼ of the calories
¼x – 10 = 10 calories less than half the calories
¼x – 10 = 70
¼x = 80
x = 320
There are calories in the chocolate bar.
Answer:
The answer would be -4x - 42.
Step-by-step explanation:
Goal: Simplify the equation.
- You need to distribute the - sign where it isn't. So the equation should look like this now: 4(-3-5)+-1(10+4x).
- Now multiply -1(0+4x): (-1)(10) + -1(4x) to get 4(-3-5) +-10+-4x
- Now multiply 4(-3-5): (4)(-3)= -12 / (4)(5) = 20 / -12-20 = -32
- The equation should now look like: -32 + -10 + -4x
- Next, we need to combine like terms and since the like terms are -32 and -10, the equation should look like: -4x + (-32 + -10).
- Add -32 with -10: -32 + -10 = -42.
- You can't do anything with the -4x so therefore, the equation would be -4x - 42.
