What point represent point p after a 90degree counter clockwise turn from the origin.
To solve, draw a line from the origin to point p. Draw a line from the origin that is perpendicular to line OP (origin to p). Make sure the line is in the counterclockwise direction, This will leave you at point ___
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Go down if you still don't understand\/
Point A
Answer:
The probability that the sample proportion is within 0.03 of the population proportion is 0.468.
Step-by-step explanation:
The complete question is:
A company makes auto batteries. They claim that 84% of their LL70 batteries are good for 70 months or longer. Assume that this claim is true. Let p^ be the proportion in a random sample of 60 such batteries that are good for 70 months or more. What is the probability that this sample proportion is within 0.03 of the population proportion? Round your answer to two decimal places.
Solution:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided is:
As the sample size is large, i.e. <em>n</em> = 60 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion of LL70 batteries that are good for 70 months or longer.
Compute the probability that the sample proportion is within 0.03 of the population proportion as follows:
Thus, the probability that the sample proportion is within 0.03 of the population proportion is 0.468.
An example of an exponential graph function has been attached and its' properties are as below.
<h3>How to draw the graph of an exponential function?</h3>
The general formula for exponential functions is: f(x) = aˣ, a > 0, a ≠ 1.
The reasons for the restrictions are because;
If a ≤ 0, then when you raise it to a rational power, you may not get a real number.
The graph of an exponential function y = 2ˣ is shown in the attached file. Here are some properties of the exponential function when the base is greater than 1.
- The graph passes through the point (0,1)
- The domain is all real numbers
- The graph is asymptotic to the x-axis as x approaches negative infinity
- The graph increases without bound as x approaches positive infinity
Read more about Exponential Function Graphs at; brainly.com/question/2456547
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Answer:
x = 5.6
Step-by-step explanation:
So, lets first go over something:
What does it mean for two shapes to be similar?
It means that all their angles are the same, but their side lengths are different, or in other words, one triangle has a different ratio of side lengths to the other.
So how can we find this ratio difference?
We can take the lengths of the same sime on the two different traingles.
You could go with 4 : 3.2 or 2 : 1.6
When you simplfy this, you get 1 : 0.8
We can then find the value of x by multiplying the two ratios by 7, which is the side length of the similar triangle's unknown side:
7 : 5.6
This means that x = 5.6
Hope this makes sense!
Answer:
ln (
−
15
d^3 v
e
by
)
Step-by-step explanation: