Answer:
(-2,-4)
Step-by-step explanation:
Turning the point 180 degrees causes the point to be reversed, or upside down, therefore the numbers will become negative.
Answer:
<h2>x = 30°</h2>
Step-by-step explanation:
Since the figure above is a triangle, all it's angles sum up to 180°
To find x , add up all the angles and subtract them from 180°
That's
57 + 93 + x = 180
150 + x = 180
x = 180 - 50
We have the final answer as
<h3>x = 30°</h3>
Hope this helps you
Answer:
Why are you playing with marbles?
Step-by-step explanation:
1a. 0.05
1b. 100
1c. 0.5
1d. 50
2. Not sure if this is right but 0.5 divides by 0.05 to get the middle number
Answer:
The probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.0143.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> ≥ 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 sample selected consists of <em>n</em> = 254 individuals. The sample is quite large, i.e. <em>n</em> = 254 > 30. So the central limit theorem can be applied to approximate the distribution of sample proportion of people in the city that will purchase the products of Goofy's fast food.
The mean is:

And the standard deviation is:

Now, we need to compute the probability that the sample proportion will differ from the population proportion by greater than 0.03.
That is:

Compute the value of
as follows:


*Use a <em>z</em>-tale for the probability.
Thus, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.0143.