Answer:
I believe the answer is

slope = 2/3x
y-intercept = 1
Step-by-step explanation:
Hope this helps!
Answer:
Step-by-step explanation:
Answer
When you translate either left or right, the x coordinate is the one that you change. To go right when you are dealing with a point, you must add the amount you are asked to go right. So when you go right 3 units, add 3 to the 5.
(5 + 3,1) = (8,1)
when going across the y axis, you are still only changing the x coordinate.
All you need do is put a minus sign in front of the x coordinate. So your final answer is (-8,1)
Answer: 55.5 (A.)
Step-by-step explanation:
Since angle A = 29 and angle B = 41, angle C must be equal to 110
180 = m<A + m<B + m<C
180 = 29 +41 + m<C
180 = 70 + m<C
110 = m<C
Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.
Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.
Law of Sines: sinA/a = sinB/b = sinC/c
sinA/a = sinB/b
sin29/41 = sin41/b
b(sin29/41) = sin41
b = 41(sin41)/(sin29)
b = 55.48
b = 55.5
Answer:
8 cups of potatoes are needed
Step-by-step explanation:
One way of doing this work is to write out
1/4 cup 1 cup
------------- , which is equivalent to ------------ (a unit rate)
1 bowl 4 bowl
and then multiply this unit rate by 32 bowls:
(1/4)(32 bowls) = 8 cups of potatoes are needed
Answer:
$595
e) If the company insures a large number of these cars, they can expect the average cost per car to be approximately E(C).
Step-by-step explanation:
Given the distribution :
C $0 $500 $1000 $2,000
P(C) 0.60 0.05 0.13 0.22
Expected probability : E(C)
Σ[C * P(C)] = (0*0.60) + (500*0.05) + (1000*0.13) + (2000*0.22) = $595
Since the expected value could be interpreted as the average value of a random variable over a large Number of experiment or trials