Answer:
see explanation
Step-by-step explanation:
A quadratic function in standard form is
y = ax² + bx + c (a ≠ 0 )
Given
y = - 3x² + 6x + 17 ← compare coefficients with standard form, then
a = - 3, b = 6, c = 17
Given the quadratic in standard form the the equation of the axis of symmetry is
x = - = - = 1
Equation of axis of symmetry is x = 1
Hypotenuse ^2 = base^2 + perpendicular ^2
H^2 = 6^2 + 8^2
H^2 = 36 + 64
H^2 = 100
H = 10
(This is a right angle triangle as 60+30= 90
180-90= 90)
You need to multiply the amount by the tax
Answer: 1 in 18
This is the same as writing the fraction 1/18
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Explanation:
Since she has 36 marbles total, and the probability of picking green is 1 in 2, this means (1/2)*36 = 18 marbles are green.
Then she also has (1/3)*36 = 12 red marbles and (1/9)*36 = 4 blue marbles.
So far, that accounts for 18+12+4 = 34 marbles in all. That leaves 36-4 = 2 marbles left over that must be black, as it's the only color left.
From that, the probability of choosing a black marble is 2/36 = 1/18.
There's a 1 in 18 chance of Maddy picking a black marble.
1/18 = 0.0556 = 5.56% approximately
It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.
Option C is the right answer.
The missing graph has been attached with the answer.
<h3>What is a Scatter Plot ?</h3>
These are Cartesian Points and it represents relationship between two variables.
It is given that
Will's Hypothesis is time can never be a dependent variable.
Although from the graph plotted it can be seen that the time is dependent on distance travelled and
the in a scatter plot , the dependent variable is plotted on y axis and here the time is plotted on y axis ,
therefore the scatter plot invalidate Willis’s hypothesis.
It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.
Option C is the right answer.
To know more about Scatter Plot
brainly.com/question/13984412
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