Answer:
The relative frequency of landing on tails is 0.3.
Step-by-step explanation:
The relative frequency of an outcome A is:
The number of trials in which the outcome A happened divided by the total number of trials.
In this problem, we have that:
20 coin tosses, so 20 trials. On 6, it landed on tails.
6/20 = 0.3
This means that the relative frequency of landing on tails is 0.3.
Answer:
x=-3
Step-by-step explanation:
2
−
1
⋅
1
2
=
6
2-1 \cdot \frac{12}{x}=6
2−1⋅x12=6
Solve
1
Combine multiplied terms into a single fraction
2
−
1
⋅
1
2
=
6
2
+
−
1
⋅
1
2
=
6
2
Multiply the numbers
2
+
−
1
⋅
1
2
=
6
2
+
−
1
2
=
6
3
Subtract
2
2
2
from both sides of the equation
2
+
−
1
2
=
6
2
+
−
1
2
−
2
=
6
−
2
4
Simplify
Subtract the numbers
Subtract the numbers
−
1
2
=
4
5
Multiply all terms by the same value to eliminate fraction denominators
−
1
2
=
4
⋅
−
1
2
=
⋅
4
6
Simplify
Cancel multiplied terms that are in the denominator
Re-order terms so constants are on the left
−
1
2
=
⋅
4
-12=x \cdot 4
−12=x⋅4
−
1
2
=
4
-12=4x
−12=4x
−
1
2
=
4
7
Divide both sides of the equation by the same term
−
1
2
=
4
−
1
2
4
=
4
4
8
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
=
−
3
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Solution
=
−
3
Answer:
We can create a one-variable equation and solve for x.
we set 35.25+0.11x equal to 14.25+0.32x
35.25+0.11x=14.25+0.32x
then we just solve for x to get 100
Step-by-step explanation:
<span><span>A <span>= <span>π <span>r</span></span></span></span></span>² <span><span><span>= <span>π </span></span></span></span>×<span><span><span><span> <span>5</span></span></span></span></span>²<span><span><span><span><span> </span></span></span><span>≈ 78.53982
</span></span><span>A </span></span>≈ 78.4
Formula for slope (m) is:
(y2 - y1) / (x2 - x1)
Our points are (9, 11) and (3, 6).
Therefore we can determine:
y2 = 6
y1 = 11
x2 = 3
x1 = 9
Substitute these into the formula:
(y2 - y1) / (x2 - x1)
(6 - 11) / (3 - 9)
Solve:
(6 - 11) / (3 - 9)
-5 / -6
Reduce the fraction with -1:
Slope (m) = 5 / 6
