Answer:
The 2 Gallon Tank is Enough
Step-by-step explanation:
A drink bottler needs to bottle 16 one-pint bottles. He has a 2 gallon tank and a 3 gallon tank.
There are 8 pints in a gallon. This means that 2 gallons would be 16 pints.
So, the 2 gallon tank has 16 pints, which means that the 2 gallon tank should be enough to bottle all 16 bottles.
Answer:
D) 0.0796
Step-by-step explanation:
Birth weights in Norway are normally distributed with a mean of 3570 g and a standard deviation of 500 g.
mean = 3570 and SD = 500
We need to find P(3500<x<3600)
P(3500<x<3600)= P(x=3600)- P(x=3500)
to find P(x=3600) we find z-score
Now use z-score table . z-score = 0.5239
P(x=3600)=0.6179
to find P(x=3500) we find z-score
Now use z-score table . z-score = 0.4443
P(x=3600)=0.4443
P(3500<x<3600)= P(x=3600)- P(x=3500)
P(3500<x<3600)=0.5239-0.4443 = 0.0796
Answer:
43/13, 129/26, 129/13, 645/26
Step-by-step explanation:
Let w represent the number of red tiles, x represent the number of blue tiles, y represent the number of green tiles and z represent the number of yellow tiles. Hence:
w + x + y + z = 43 (1)
x = 3/5(w + x)
2x/5 = 3w/5
x = 3/2(w)
x = 5w/2 - w = 3w/2 (2)
y = 2/3(x + y)
y/3 = 2x/3
y = 2x = 2(3w/2) = 3w (3)
z = 5/7(y + z)
2/7(z) = 5y/7
z = 5y/2 = 5(3w)/2 = 15w/2 (4)
substitute x = 3w/2, y = 3w and z = 15w/2 in equation 1:
w + 3w/2 + 3w + 15w/2 = 43
13w = 43
w = 43/13
x = 129/26
y = 3w = 129/13
z = 645/26
Given:
In a circle, two chords AK and LJ intersect each other inside the circle at M.
Measure of arc AJ = 65 degrees.
Measure of arc KL = 85 degrees.
To find:
The measure of angle KML.
Solution:
Intersecting chords theorem: According to this theorem, if two chords intersect each other inside the circle then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using Intersecting chords theorem, we get
Therefore, the measure of angle KML is 75 degrees.
22.5-9= 13.5
36-22.5=13.5
therefore the relation would show a Linear graph because the first differences are the same.