<span>1.) The probability that the traveler flew on East-West Air is 4/(4 + 3 + 6) = 4/13 = 31%
2.) </span>T<span>he probability that the traveler flew on Air One is 3/13 = 23%
3.) </span>T<span>he probability that the traveler flew on International Air is 6/13 = 46%</span>
Answer:
Ben needs to get a 99% on his second test
Step-by-step explanation:
The average is the sum of both test scores, divided by the total number of test scores (2).
Let x by the grade Ben must receive on his second test.
(89 + x)/2 = 94
Multiply by 2 on both sides
89 + x = 188
Subtract 89 on both sides
x = 99
Check work:
(89 + 99)/2 = 188/2 = 99
Answer: A
Step-by-step explanation: So, first of all, this is a linear graph, which is represented by the equation y = mx + b.
b = y-intercept. The y-intercept is the point in which the line crosses the y axis. Assuming this graph has units that go up by 1, the y- intercept for this line is 2, which eliminates choices B and C.
This graph is going down, which means it is negative, so the format should be -mx + b, which is answer choice A. Hope this helps! :)
Divide both sides by 2
i<3u
Step-by-step explanation:
if we translate (shift) a function g(x) to the right by k to create h(x), then h(x) creates the same functional values as g(x), but they happen now for higher x ("later", if you consider x as a kind of time).
so, e.g.
h(0) = g(0 - k)
or
g(0) = h(0 + k)
and to translate to the left by k has the opposite effect. the original results happen "earlier" on the x-axis.
so, e.g.
h(0) = g(0 + k)
or
g(0) = h(0 - k)
so, all we need to do is to replace every occurrence of x by (x - k) if shifting right, or by (x + k) if shifting left.
our graph is
10x² - 2x + 4y² - 4y = 40
so, translating this 4 units to the right gives us
10(x - 4)² - 2(x - 4) + 4y² - 4y = 40
10(x² - 8x + 16) - 2x + 8 + 4y² - 4y = 40
10x² - 80x + 160 - 2x + 8 + 4y² - 4y = 40
10x² - 82x + 4y² - 4y = -128
translating the original graph 3 units to the left gives us
10(x + 3)² - 2(x + 3) + 4y² - 4y = 40
10(x² + 6x + 9) - 2x - 6 + 4y² - 4y = 40
10x² + 60x + 90 - 2x - 6 + 4y² - 4y = 40
10x² + 58x + 4y² - 4y = -44