Answer:
The answer to your question is: y = -2/3 x + 18
Step-by-step explanation:
Data
Point = (-9, 12)
line y = 3/2x -1/2 perpendicular
Process
The line must be perpendicular to the line given. Then,
slope is the line given = 3/2, we change it because the lines must be perpendicular ,
New slope M = -2/3
New line y-y1 = m(x - x1)
y - 12 = -2/3 (x + 9) Substitution
3( y - 12) = -2(x + 9)
3y - 36 = -2x - 18 Simplify
3y = -2x - 18 + 36
3y = -2x + 18
y = -2/3 x+ 18 Result
B. I'm terrible at explaining but I'm sure that's right.
Answer:
The probability that a jar contains more than 466 g is 0.119.
Step-by-step explanation:
We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.
Let X = <u><em>Amount of peanut butter in a jar</em></u>
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= population mean = 454 g
= standard deviation = 10.2 g
So, X ~ Normal(
)
Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)
P(X > 466 g) = P(
>
) = P(Z > 1.18) = 1 - P(Z
1.18)
= 1 - 0.881 = <u>0.119</u>
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
To solve, you would need to make two equations and substitute one in for the other. Let a = # of adults, and c = # of children
5a + 2c = 1,220
a + c = 295
a + c = 295
-c -c
a = 295 - c
5(295 - c) + 2c = 1,220
1,475 - 5c + 2c = 1,220
1,475 - 3c = 1,220
1,475 - 3c = 1,220
-1,475 -1,475
-3c = -255
-3c/-3 = -255/-3
c = 85
a + c = 295
a + 85 = 295
-85 -85
a = 210
210 adults attended the dance recital
Hope this helps!