0.002 is 1/100 of what decimal?

Answer:

24 minutes

Step-by-step explanation:

Let y represent the rate of 120 envelopes per minute.

40/8 = 120/y

40y = 8 * 120

40y = 960

y = 960/40

= 24 minutes

The correct response is D; we can treat the survey as one involving a single variable, responding with either "yes, I attended more than 4 games" or "no." Given the random survey of 10 students meets the randomization criterion and that their responses are independent, options B and C can be dismissed. However, since only 10 students were surveyed, the confidence interval will not be narrow. As per Statistical Solutions, a minimum of 10 subjects per variable is essential for regression analysis. If the query concerns the number of games each student attended, the potential variables increase; conversely, if it solely asks, “Did you attend more than 4 games?”, then we only consider a single variable, making 10 students sufficient.

To find the solution, we will utilize the compound interest formula: 
where
represents the total amount after years
tex]P[/tex] indicates the original investment 
signifies the interest rate expressed in decimal
shows the frequency of compounding per year
indicates the duration in years

According to our problem, the initial investment is <span>$30,000 with a duration of ten years, thus </span> and . Interest is compounded annually, so . To convert the percentage interest rate into decimal, we divide it by 100%


Now, we can insert these values into our formula:



Substituting  with :


Consequently, we find that the correct answer is D. 

Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation: 
</span>



Thus, we conclude that Yolanda will end up with $64,170.54 in her account after a decade of earning <span>at a compound interest rate of 7.9% yearly.</span>

Answer:

There are 369 students who enrolled in either calculus or discrete mathematics.

Step-by-step explanation:

I'll create a Venn diagram to illustrate these figures.

Let’s define:

A represents the count of students who completed calculus.

B stands for those who took discrete mathematics.

We have the following:

Here, a denotes the students who studied calculus exclusively, while represents those who took both subjects.

Using the same reasoning:

There are 188 students taking both calculus and discrete mathematics.

This implies that

A total of 212 students studied discrete mathematics.

<pBased on this,

345 students have attended a calculus course.

<pSo, from this information,

We find the total number of students who took either calculus or discrete mathematics.

A total of 369 students participated in either calculus or discrete mathematics.

Response:

2/9 = 0.22

Clarification:

There are two ways to select the first number that is odd and less than 5: 1 and 3.

For each of these, the second number drawn can be any of the values from 1 to 9, giving us a total of 18 options.

Out of these, the only pairs that result in a sum less than 5 are (1,1), (1,2), (1,3), and (3,1). Thus we have 4 combinations from the total of 18:

4/18 = 2/9 = 0.22