Hi there!
<u><em>FACT</em></u><em>:</em>
<em>What you have there is an equilateral in which all three internal angles are congruent to each other and are each 60°.</em>
<u>STEPS TO ANSWER:</u>
I'm not really sure if you are looking for the value of "X" the angle or the value of "x" that is part of the expression that represents the value of the angle "Z".
1. If you are looking for the value of "X" the angle, it's pretty easy knowing that all internal angles are equal to 60°.
Your answer for the value of "X" the angle would be : X = 60°.
2. If you are looking for the value of the "x" that is part of the expression that represents the value of the angle "Z", you'll need to write this expression as equal to 60 and solve the equation by isolating "x" :
2x <u>- 4</u> = 60
Add 4 on each side of the equation → 60 + 4 = 64
<u>2</u>x = 64
Divide each side of the equation by 2 → 64 ÷ 2 = 32
x = 32
Your answer for the value of the "x" that is part of the expression that represents the value of the angle "Z" would be : x = 32.
There you go! I really hope this helped, if there's anything just let me know! :)
The true statement is as follows "No because she did not use a simple random sample".
<h3>What is random sampling?</h3>
Random sampling is the method to choose the given samples of observation to make assumptions about the population.
It is given that
Population: All tenth-grade girls
Sample: 20 intramural tennis players
The 20 intramural tennis players cannot represent all tenth-grade girls.
This is so because the selection is biased here, and it could not be used to make inferences about the overall population. then she did not use a simple random sample.
Hence, the true statement is (b)
Read more about random sampling at:
brainly.com/question/1334729
Answer:
6 hours
Step-by-step explanation:
First, since they all collected 510, you divide 510 by 5, to figure out how much each person got.
You then know that each of them got 102 candies, so now, you subtract 12 from from 102, since the teacher gave them that much in the beginning.
You're left with 90, so last step is to divide 90 by 15, since they collect 15 every hour, which you get left with 6. Meaning they collected candies for 6 hours
Answer: The probability in (b) has higher probability than the probability in (a).
Explanation:
Since we're computing for the probability of the sample mean, we consider the z-score and the standard deviation of the sampling distribution. Recall that the standard deviation of the sampling distribution approximately the quotient of the population standard deviation and the square root of the sample size.
So, if the sample size higher, the standard deviation of the sampling distribution is lower. Since the sample size in (b) is higher, the standard deviation of the sampling distribution in (b) is lower.
Moreover, since the mean of the sampling distribution is the same as the population mean, the lower the standard deviation, the wider the range of z-scores. Because the standard deviation in (b) is lower, it has a wider range of z-scores.
Note that in a normal distribution, if the probability has wider range of z-scores, it has a higher probability. Therefore, the probability in (b) has higher probability than the probability in (a) because it has wider range of z-scores than the probability in (a).
