Which is better 32 miles or 12.7 kilometers and why

Answer:

2.84>2.77

0.01<0.6

3.69<7.19

Step-by-step explanation:

Using the normal probability distribution and the central limit theorem, it is found that there is a 0.0869 = 8.69% probability that more than 20% of this sample is comprised of female employees.

Normal Probability Distribution

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

• It measures how many standard deviations the measure is from the mean.

• After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

• By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean and standard deviation , as long as and .

In this problem:

• 16% of executive officers were women with companies that have company headquarters in the Midwest, hence p = 0.16.

• A random sample of 154 executive officers from these companies was selected, hence n = 154.

The mean and the standard error are given by:

The probability that more than 20% of this sample is comprised of female employees is 1 subtracted by the p-value of Z when X = 0.2, hence:

By the Central Limit Theorem

has a p-value of 0.9131.

1 - 0.9131 = 0.0869.

0.0869 = 8.69% probability that more than 20% of this sample is comprised of female employees.

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Answer: 0.0885

Step-by-step explanation:

Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.

i.e. p= 0.16

Sample size : n= 154

Now, the  probability that more than 20% of this sample is comprised of female employees is given by :-

[∵ ]

 [Using the standard z-value table]

Hence, the required probability = 0.0885

Final answer:

By using the properties of logarithms, namely ㏒b(a * c) = ㏒b(a) + ㏒b(c) and ㏒b(a^p) = p * ㏒b(a), we find the  approximation of the logarithm ㏒b(2b^3) to be 3.3562.

Explanation:

To approximate the value of ㏒b(2b^3), we can use the properties of logarithms. The first one is that ㏒b(a * c) = ㏒b(a) + ㏒b(c), where a and c are the numbers we wish to find the logarithm of. We can apply this property to your given expression as follows:

• ㏒b(2b^3) = ㏒b(2) + ㏒b(b^3).

The second logarithmic property we need is that ㏒b(a^p) = p * ㏒b(a), where a is the base, and p is the exponent. We can apply this property to the second term on the right side:

• ㏒b(b^3) = 3 * ㏒b(b).
• Since ㏒b(b) is equal to 1 (because b raised to the power of 1 is b), then our equation becomes:
• ㏒b(2b^3) = ㏒b(2) + 3.

Now, we can substitute the values given for ㏒b(2), which is 0.3562:

• ㏒b(2b^3) = 0.3562 + 3 = 3.3562.

So, approximating ㏒b(2b^3) to four decimal places, we get 3.3562.

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que representa Laos hombres con relacion al total

*a clearer picture containing the graph is shown in the attachment

Answer:

20% of the class earned a D

Step-by-step Explanation:

Step 1: Determine the total number of students represented on the graph:

9 students => D

5 students => C

14 students => B

17 students => A

Total number of students = 45

Step 2: Express each category of students who scored a particular grade as a fraction and as percentage.

9 students => D => => as percentage, we have

5 students => C => => as percentage, we have

14 students => B => => as percentage, we have

17 students => A => => as percentage, we have

Step 3: Check each statement to see if they are true or not based on the calculations above.

Statement 1: "⅕ of the students earned a C."

This is NOT TRUE From our calculation, ⅑ of the students earned a C.

Statement 2: "3% more students earned an A than a B." This is also NOT TRUE.

37.8% earned A, while 31.1% earned a B. Thus, about 6.7% more students earned an A than a B.

Statement 3: "20% of the class earned a D".  This is TRUE.

Check calculation in step 2.

Statement 4: "¼ of the class earned a B". This is NOT TRUE.

¼ is 25% of the class. Those who earned a B account for 31.1% not 25% (¼ of the class).

The correct statement is: "20% of the class earned a D"

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Profit function of the store is given by

We need to find the maximum profit.

For this, we first derivate the above function:

Now, put P(x) = 0, we get that

Now, we will check that its maximality by finding the second derivative:

it gives maximum profit at x = 35 yards.

And the maximum profit would be

Hence, Option 'd' is correct.

The sum of 10.6, 6, and 2.09 is 18.69. The question asks to add the following numbers: 10.6, 6, and 2.09. Adding them together, you simply line up the decimal points and add each column from right to left.

Step 1: Add the numbers in the hundredths place: there are no hundredths in 10.6 or in 6, and there are 9 hundredths in 2.09. So, we simply write down .09.

Step 2: Add the numbers in the tenths place: there are 6 tenths in 10.6, no tenths in 6, and no tenths in 2.09. Combined, we have .60.

Step 3: Add the numbers in the ones place: there are 0 ones in 10.6, 6 ones in 6, and 2 ones in 2.09. Combined, we have 8.0.

Step 4: Add the tens place: there is 1 ten in 10.6, no tens in 6, and no tens in 2.09. We write down 10.

Finally, adding these components together (0.09+,60+8.0+10) we get the total of 18.69.

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Answer:

18.69

Step-by-step explanation: