Answer:
(0,0)
Step-by-step explanation:
On the other side of the rectangle, (5,0) is 8 units down from (5,8) so just go down 8 from (0,8) and you'll arrive at the origin, or (0,0).
Answer:
Option B is correct.
If we assume that 57% of Americans says that GM foods are generally unsafe to eat, then there is an 8.8% chance that random sample results will show 60% or more who says that GM foods are generally unsafe to eat.
Step-by-step explanation:
In Hypothesis testing, p-value helps to show the significance of one's results.
For hypothesis testing, the first thing to define is the null and alternative hypothesis.
The null hypothesis plays the devil's advocate and is always about the absence of significant difference between two variables being compared.
While, the alternative hypothesis takes the other side of the hypothesis; that there is indeed a significant difference between two proportions being compared.
For this question, the null hypothesis is that 57% of Americans say that GM foods are generally unsafe to eat.
H₀: p = 0.57
And the alternative hypothesis would be that more than 57% of Americans say that GM foods are generally unsafe to eat.
Hₐ: p > 0.57
The p-value is actually defined as the probability of obtaining results as extreme as the observed results in the statistical analysis provided that the null hypothesis is true.
For this question , it is evident that the p-value (0.088) is expressing the probability of getting results as extreme as 60% or more Americans saying that GM foods are unsafe to eat provided that the null hypothesis (57% of Americans say that GM foods are generally unsafe to eat) is true.
Hope this Helps!!!
Answer: T = 2π√(I/mgD)
Step-by-step explanation:
where:
m is the mass of the pendulum;
I is the moment of inertia of the mass; and
D is the distance from the center of mass to the point of suspension.
Determine the length of the pendulum. For example, it can be equal to 2 m.
Decide a value for the acceleration of gravity. We will use the Earthly figure of 9.80665 m/s², but feel free to check how the pendulum would behave on other planets.
Calculate the period of oscillations according to the formula above: T = 2π√(L/g) = 2π * √(2/9.80665) = 2.837 s.
Find the frequency as the reciprocal of the period: f = 1/T = 0.352 Hz.
You can also let this simple pendulum calculator perform all calculations for you!
2.14 is the price per gallon.
I figured this out by dividing 14 by 29.96 and I got 2.14 and to check my work I multiplied 2.14 by 14 and got 29.96 .
