Slope of the line is -0.5
Step-by-step explanation:
- Step 1: Find the slope of the line using the equation
m = (y2 - y1)/(x2 - x1); Here x1 = -6, y1 = 1, x2 = 4 and y2 = -4
⇒ m = (-4 - 1)/(4 - -6)
= -5/10 = -1/2 = -0.5
Answer:
Step-by-step explanation:
Since it is a square and we know the hypotenuse squared is equal to the sum of its squared sides
d^2=2s^2, we are told d=80 so
2s^2=80^2
s^2=3200
s=3200^(1/2)
P=4s
P=4(3200^(1/2))
P=160(2^(1/2) yds or approximately
P=226.27 yds
Answer:
12
Step-by-step explanation:
Let x be the number of chocolates in the first jar, then
x ← number of chocolates in second jar and
x + 90 ← number of chocolates in the third jar
The second jar also contains one half the chocolates in the third jar, thus
Equating chocolates in second jar
x = (x + 90) = x + 45
Multiply both sides by 10 to clear the fractions
8x = 5x + 450 ( subtract 5x from both sides )
3x = 450 ( divide both sides by 3 )
x = 150
and × 150 = 120
Number of chocolates in second jar = 120
Answer:
32.75
Step-by-step explanation:
The corrected parts of the question has been attached to this answer.
Answer:
A) Probability that the error is less than 0.2 mm; P(X < 0.2) = 0.0272
B) Mean Error (E(X)) = 0.6
C) Variance Error (V(X)) = 0.04
D) Answer properly written in attachment (Page 2)
E) P(0<X<0.8) = 0.8192
Step-by-step explanation:
The probability density function of X is;
f(x) = { 12(x^(2) −x^(3) ; 0<x<1
So, due to the integral symbol and for clarity sake, i have attached all the explanations for answers A - D.
E) The probability that the specification for the error to be between 0 to 0.8 mm is met will be;
P(0<X<0.8) = F(0.8) − F(0) =12([(0.8)^(3)] /3] −[(0.8)^(4)]/4]
= 0.8192
So, the probability is 0.8192.