Answer:
Step-by-step explanation:
If it is a fair coin, he should expect heads about 1/2 the time.
1/2 of 30 = 15
He should expect 15 heads.
Answer:
about 26 min
Step-by-step explanation:
Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point
First we find the average speed
We add both speed and divide it by 2

Now we find the distance for round trip
given total time is 48 mins. convert mins into hours
48 mins = 48 divide by 60 = 0.8
average speed = 5 km/hr
Distance = speed * time = 5 * 0.8 = 4 km
distance covered both ways = 4 km
so 4 divide by 2 = 2 km each way
To find time taken for upstream = distance of each way / speed of upstream
time = 
Now convert hours into minutes
0.44* 60= 26.4 minutes
The complete question in the attached figure
we know that
<span>the distance from a point to line (y-axis) is the perpendicular line against y-axis, which is the absolute value of x-coordinates
</span>
in this problem
the point <span>(−1.5, 6)
the </span>absolute value of x-coordinates is 1.5
hence
the distance is 1.5
therefore
the answer isthe option B) the point (1.5,-3)
Explanation:
A sequence is a list of numbers.
A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.
<u>Examples</u>
- 1, 2, 4, 8, ... common ratio is 2
- 27, 9, 3, 1, ... common ratio is 1/3
- 6, -24, 96, -384, ... common ratio is -4
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<u>General Term</u>
Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...
a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence
where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...
- a(n) = 2^(n -1)
- a(n) = 27×(1/3)^(n -1)
- a(n) = 6×(-4)^(n -1)
You can see that these formulas are exponential in nature.
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<u>Sum of Terms</u>
Another useful formula for geometric sequences is the formula for the sum of n terms.
S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence
When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...
S = a(1)/(1-r)
Answer:
5/9 (F-32) = 25
Step-by-step explanation:
5/9 (F-32) = C
Multiply each side by 9/5
5/9 * 9/5 (F-32) =9/5 C
F -32 = 9/5 C
Add 32
F -32 +32 = 9/5 C +32
F = 9/5 C +32
We want 25 C to Fahrenheit
F = 9/5 *25 +32
F = 9*5 +32
F = 45+32
F = 77