Which of the following option is a better purchase for microwave Option 1. a cash sale $120option 2 $5 down with equal payments of $10 for 15 week
option 3 $10 down with equal payments of 5 for 24 months
option 4 zero down with equal payments of 15 for 9 months

Hey there! :)

Answer:

-1/3.

Step-by-step explanation:

Find the slope of the line using the slope formula:

Use two points from the graph and plug them into the equation. We can use the points (0, 3) and (3, 2):

Simplify:

m = -1/3. This is the slope of the line.

Answer:

Barista Alex should use 700g of bean A (with 25% bitterness) and 300g of bean B (with 75% bitterness) to create his 1000g batch with a bitterness level of 40%.

Step-by-step explanation:

To create a 1000g batch of coffee blend with a bitterness level of 40%, you can use a weighted average based on the bitterness levels of the two beans, bean A (25%) and bean B (75%).

Let x be the amount of bean A (with 25% bitterness) and y be the amount of bean B (with 75% bitterness) in the blend. You want the total batch to be 1000g, so we have:

x + y = 1000

Now, to achieve the desired bitterness level of 40%, you can set up the following equation based on the weighted average:

(25% * x + 75% * y) = 40% * 1000

Now, let's convert the percentages to decimal values (divide by 100):

(0.25x + 0.75y) = 0.40 * 1000

Simplify:

0.25x + 0.75y = 400

Now you have a system of two equations:

x + y = 1000

0.25x + 0.75y = 400

You can solve this system of equations. Let's use the substitution method. Solve equation (1) for x:

x = 1000 - y

Now, substitute this expression for x into equation (2):

0.25(1000 - y) + 0.75y = 400

Now, solve for y:

0.25 * 1000 - 0.25y + 0.75y = 400

0.75y - 0.25y = 400 - 250

0.5y = 150

y = 150 / 0.5

y = 300

So, he should use 300g of bean B (with 75% bitterness). Now, you can find the amount of bean A by using the first equation:

x + 300 = 1000

x = 1000 - 300

x = 700

Therefore, Barista Alex should use 700g of bean A (with 25% bitterness) and 300g of bean B (with 75% bitterness) to create his 1000g batch with a bitterness level of 40%.

Answer:

Option C is correct

It is a stratified random sample because parents were randomly selected from each group.

Step-by-step explanation:

I'll talk about the different types of sampling.

1) Random Sampling

In random sampling, each parent would have an equal chance of being surveyed. If this particular scenario wanted to use random sampling, they would have used computer generated random numbers for the parents and surveyed them, not just pick random parents equally from two cities.

2) Systematic sampling is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth parent is picked to be sampled.

3) Convenience Sampling

This is the worst sampling technique. It is also the easiest. In Convenience sampling, they just survey the first set of parents that they find.

4) Stratified Sampling

Stratified sampling divides the population into groups called strata. A sample is taken from each of these strata using either random, systematic, or convenience sampling.

So, for this question, random sampling is used to pick a sample from the two strata (from the 2 cities). This is why the sampling used in this question is a stratified random sampling technique.

5) Cluster sampling

Cluster Sampling divides the population into groups which are called clusters or blocks (the different cities). The clusters are selected randomly, and every element in the selected clusters is surveyed (each parent in the selected cities, is surveyed!).

Hope this Helps!!!

Answer:

35.33

the drill use the volume formula for a cylinder then plug in the numbers