To find the distance between her home and her latest position:
According to the question, the diagram is,
Consider the right triangle,
AB=120 km
BC=50 km
To find AC:
Using Pythagoras theorem,
Hence, the distance between the new position and her home is 130 km.
The first number in this item can be also expressed as 2.3 x 10³. Now, dividing the numbers 2.3 and 0.4 will give us an answer of 5.75. There exists a rule which states that when two similar numbers are divided only having different exponents, their exponents should be subtracted. The final answer to this item is therefore,
5.75 x 10¹¹
Answer:
So about 95 percent of the observations lie between 480 and 520.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.
We have 35 - 5 = 30 levels left to beat.
The question is asking us for the levels left to beat, to the ones that already have been beaten:
30 : 5
Simplified;
6 : 1
The coordinates for point R will be (-1, -6). This is because a rectangle has opposite sides and as you plot your rectangle with these defines points along with that of R, you will be able to successfully achieve a perfect rectangle.
