Answer:
Infinite
Step-by-step explanation:
Get both in the form y = first.
12x - 4y = -8
-4y = -8 - 12x
y = 2 + 3x
y = 3x + 2
These are the same line so all points are the same so that means there are infinite answers.
If ONLY the number in front of the x was the same there would be 0 answers, they would be parallel lines, and if the number in front of the xs were different there would only be one answer.
Answer:
The probability is 0.017429
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)/SD/√n
In this case;
x = 273
mean = 276
SD = √(variance) = √81 = 9
n = 40
Substituting these values into the z-score formula, we have that;
z = (273-276)/9/√40
z = -2.11
So we proceed to get the probability
the probability in this case is;
P( z < -2.11)
We can use the normal distribution table for this
Our answer will be
P( z < -2.11) = 0.017429
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
Note that y = f(x)
Given
9x + 3y = 12 ← Rearrange making y the subject
Subtract 9x from both sides
3y = - 9x + 12 ( divide all term by 3 )
y = - 3x + 4, thus
f(x) = - 3x + 4
No, 56 is not enough to decorate 2 dozen cupcakes. If he was to top 2 dozen cupcakes with 3 walnuts then he would need 72 walnuts.
3•24(2dozen)=72
Answer:
y=11/2
Step-by-step explanation:
6y+11=3y+5y
11=3y+5y-6y
11=2y
11/2=y
