Answer: See below
Explanation:
Write an equation for nth term:
a + d(n - 1)
a = 8 (first term)
d = -6 (common difference)
8 - 6(n - 1)
= 8 - 6n + 6
= -6n + 14
Find a 50:
-6(50) + 14
= -300 + 14
= -286
Let's pick two points on the line, the
y-intercept, and the
x-intercept. These are the points at which x=0, and y=0.
When x=0:
So one point is
(0,6)When y=0:
So another point is
(10,0)
So mark the points
(0,6) and
(10,0) on a pair of axes, and draw a straight line between them, and past them to infinity. This is a graphing of the line y=-3/5 x + 6
Answer: D. The probability of a time from 75 seconds to 250 seconds.
Step-by-step explanation:
We know that a density curve graph for all of the possible values from a to b can be used to find the the probability of the values from a to b .
Given: A density graph for all of the possible times from 50 seconds to 300 seconds.
Then it can be used to find the the probability of a time in the range from 50 seconds to 300 seconds.
From all the given option only option D gives the interval which is lies in the above range.
i.e A density graph for all of the possible times from 50 seconds to 300 seconds can be used to determine the probability of a time from 75 seconds to 250 seconds.
Answer: $17.92/sandwich
Step-by-step explanation:
Let S be the price of a sandwich ($/sandwich).
7S is the total cost of the sandwiches. Add a drink for $2.50 to find the total cost, which we are told comes to $140.50
7S + $2.50 = $140.50
7S = $138
S = $19.7143
It is odd that this includes a fraction of a single penny (0.43 cents). Something is incorrect in the data given, since this should equal a whole number. For now, I'll round up to $19.72. The additional 7*($0.0043) = 4 cents will be treated as a tip.
Theorem: If two chords intersect within a circle, then the product of the lengths of the segments (parts) of one chord is equal to the product of the lengths of the segments of the other chord.
In your case this theorem sounds as
If AM=7, MB=6, CM=8, then
Note that CD=CM+MD=8+5.25=13.25.
Answer: correct choice is C
