Answer:
C: Origin
Step-by-step explanation:
Zero equals zero
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Answer:
(x, y) = (3, 12)
Step-by-step explanation:
Using the given variable definitions, we can write the equations ...
y = x + 9
2(x +y) = 30
__
Solving the second equation for y, we have ...
y = 15 -x
Substituting this into the first equation gives ...
15 -x = x +9
6 = 2x . . . . . . . . . add x-9
3 = x . . . . . . . . . . divide by 2
y = 3+9 = 12 . . . . substitute into the first equation
The numbers are (x, y) = (3, 12).
Answer:
Option A
The p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.
Step-by-step explanation:
Normally, in hypothesis testing, the level of statistical significance is often expressed as the so-called p-value. We use p-values to make conclusions in significance testing. More specifically, we compare the p-value to a significance level "α" to make conclusions about our hypotheses.
If the p-value is lower than the significance level we chose, then we reject the null hypotheses H0 in favor of the alternative hypothesis Ha. However, if the p-value is greater than or equal to the significance level, then we fail to reject the null hypothesis H0
though this doesn't mean we accept H0 automatically.
Now, applying this to our question;
The p-value is 0.023 while the significance level is 0.05.
Thus,p-value is less than the significance level of 0.05 chosen and so we reject the null hypothesis H0 and can conclude that the proportion of the subjects who have the necessary qualities is less than 0.2.
The only option that is correct is option A.
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Answer:
1 mile
Step-by-step explanation:
5 × (1/5 mi) = 5/5 mi = 1 mi
The students ran 1 mile in all.
Answer:
See below.
Step-by-step explanation:
If it is a regular polygon then you can look up the formula or break it into shapes you do know the formula.
If it is irregular or a composite figure, break it into regular polygons which do have formulas to find the area. Here is an example:
Example:
Find the area of the composite figure by splitting the figure into two shapes - two rectangles.
One rectangle is 2 x 9 = 18.
The other rectangle is 2 x 4 = 8.
Together the area is 18 + 8 = 26.
