Answer:
Probability that a 20- cubic foot block of wood has at most 1 knot P (X<=1) = 0.5918
Step-by-step explanation:
Average rate of knot= 1.4
Wavelength = 1.4
Geometric probability is given by:
P(X= K) = wavelength ^k × e^-wavelegth
P(X=0) = (1.4^0 × e^-1.4)/0!
P(X=0) = 1 × 0.2466 = 0.2466
P(X=1) = 1.4^1 × e^-1.4
P(X=1)= 1.4×0.2466= 0.3452
P(X<=1)= P(X=0) + P(X=1)
P(X<=1) = 0.2466 + 0.3452 = 0.5918
Answer: H- hot dogs
J- juice box
6h+4j=16.70
3h+4j=10.85
Elimination:
-6h-4j=-16.70
3h+4j=10.85
-3h=-5.85
H= 1.95
3(1.95)+4j=10.85
5.85+4j=10.85
4j=5
J=1.25
1.95 dollars for a hotdog and 1.25 dollars for a juice box
Step-by-step explanation:
Answer:
y = 2x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation of the line
To find c substitute (2, 1) into the partial equation
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = 2x - 3 ← equation of line
Use the ! tool to find the # of combinations.
8!/5! = 40,320/120 = 336
