Jasmine took a cab home from her office. The cab charged a flat fee of $4, plus $2 per mile. Jasmine paid $32 for the trip. How
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Answer:
<em>Probability that the spinner will stop on an odd number or a multiple of 5 is </em><em>0.6</em>
Step-by-step explanation:
Probability =
We are given the equal regions numbered from 1 through 20 which means that our total possible outcomes are 20
<em>Total possible outcomes: 20</em>
<em>Outcomes that spinner will stop on an odd number, n(Odd): 10</em>
1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Probability of spinner stoping on Odd number:
P(Odd) = =
=
= 0.5
Outcomes that spinner will stop on a multiple of 5, n(5): 4
5, 10, 15, 20
Probability of spinner stoping on multiple of 5:
P(5) = =
=
= 0.2
Odd numbers which are a multiple of 5 are: 5 and 15
So,
P(Odd and 5) =
Thus Probability of spinner stopping at odd number or a multiple of 5 becomes:
P(Odd or 5) = P(Odd) + P(5) - P(Odd and 5) = 0.5 + 0.2 - 0.1 = 0.6
Answers:
These are the statements that apply:
The initial value is 3.
The range is y >0.
The simplified base is 8.
Explanation:
1) Given expression:
2) Check every statement:
a) The initial value is 3?
initial value ⇒ x = 0 ⇒
∴ The statement is right.
b) The initial value is 48?
Not, as it was already proved that it is 3.
c) The domain is x > 0?
No, because the domain of the exponential functions is all the Real numbers.
d) The range is y > 0?
That is correct, the exponential function is continuous, and monotonon increasing.
The limit when x → - ∞ is zero, but y never reaches zero, and the limit when x → ∞ is + ∞, meaning that the range is y > 0.
e) The simplified base is 12?
This is how you simplify the base:
Which shows that the simplified base is 8 (not 12).
f) The simplified base is 8?
Yes; this was just proved.
Answer:
The coordinate of point M = (-6,7)
Explanation:
The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.
Given: has vertices T(3,6) , R(-3,10) and E(-9,4).
Here, line TM is a median of triangle TRE where M is the midpoint of RE.
The midpoint of M of the line segment from R(-3,10) to E(-9,4) is;
M =
Therefore, the coordinate of point M is, (-6,7).