Answer:
B)
Step-by-step explanation:
1. First, we have to know that two negatives equal positive.
2. Given the information above, can simplify to .
3. Let's go through each answer choice and see which one also simplifies to .
A:
B:
Therefore, the answer is B) .
B. 99?% of the population lies in the interval between ___ and ___.
C. There is 99?% confidence that the proportion of worried adults is between ___ and ___.
Answer:
C. There is 99% confidence that the proportion of worried adults is between 0.487 and 0.567
Step-by-step explanation:
1) Data given and notation
n=1016 represent the random sample taken
X=535 represent the people stated that they were worried about having enough money to live comfortably in retirement
estimated proportion of people stated that they were worried about having enough money to live comfortably in retirement
represent the significance level
Confidence =0.99 or 99%
z would represent the statistic
p= population proportion of people stated that they were worried about having enough money to live comfortably in retirement
2) Confidence interval
The confidence interval would be given by this formula
For the 99% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 99% confidence interval would be given (0.487;0.567).
There is 99% confidence that the proportion of worried adults is between 0.487 and 0.567
To build a 99% confidence interval, we first calculate our sample proportion by dividing the number of such instances by the total sample size. Next, we determine the standard error of the proportion, then our margin of error by multiplying the standard error by the Z value of the selected confidence level. Lastly, we determine the confidence interval by adding and subtracting the margin of error from the sample proportion.
To construct a 99% confidence interval for the proportion of adults worried about having enough money to live comfortably in retirement, we will utilize statistical methods and proportions. First, we must calculate the sample proportion. The sample proportion (p) is equal to 535 (the number who are worried) divided by 1016 (the total number of adults surveyed).
Then, we find the standard error of the proportion which we get by multiplying the square root of ((p*(1-p))/n) where n is the number of adults sampled. The margin of error is found using the Z value corresponding to the desired confidence level, in this case, 99%. Multiply the standard error by this Z value. Lastly, we construct the confidence interval by taking the sample proportion (p) ± the margin of error.
The result will give you the 99% confidence interval - meaning we are 99% confident that the true proportion of adults who are worried about having enough money to live comfortably in retirement lies within this interval.
#SPJ3
======================================================
Explanation:
The exponent rules are
The expression on the right hand side simplifies to c^(-1). We add the exponents to get this. So we're using rule 1 mentioned above.
We'll keep this in mind for later.
------------------
On the left hand side (c^5)^4 becomes c^(20) because we multiply the exponents (rule 3)
Then (c^20)/(c^x) becomes c^(20-x). We subtract exponents here (rule 2).
------------------
After using those exponent rules, the original equation turns into
c^(20-x) = c^(-1)
The bases are both c, so the exponents must be equal
20-x = -1
-x = -1-20
-x = -21
x = 21
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 3/7 as a percent, we need to find a fraction
equivalent to 3/7 that has a 100 in the denominator.
We can do this by setting up a proportion.
So we have .
Now, we can use cross-products to find the missing value.
So we have (3)(100) which is 300 is equal to (7)(n) or 7n.
So we have the equation 300 = 7n.
Next, dividing both sides of the equation by 7, we have 42.8571 = n.
So 3/7 is equal to 42.8571/100 or 42.8571%.
The change in the value of x, as a percentage, is given by:
The percentage change is given by the change multiplied by 100% and divided by the initial value.
In this question, x varies from to , which means that the initial value is a, and the change is b - a. Then, the percentage chance in the value of x is given by:
A similar problem is given at brainly.com/question/24729807
Answer:
Step-by-step explanation:
i. b is how many times as large as a?
b/a
ii. Therefore, b is what percent of a?
b/a*100
iii. Hence, if x varies from x=a to x = b, x changes by what percent?
(100b)/a-100
12/4=?/1
Answer: 3/1
Step-by-step explanation:
Your supposed to divide by 4 on the top and bottom.
12 4= 3
4 4 = 1