What is the selling price of a $610 couch with a 25% markup?

A bag of marbles can be divided evenly among 2,3 or 4 friends. A) How many marbles might be in the bag? B) What is the least num

Leona [12618]

Response:

a)12 b)12 c)36

Detailed steps:

a) Identify the least common multiple. The quantity of marbles corresponds to that value multiplied by n (with n representing an integer)

b) The least common multiple is calculated as 4*3=...

c)12*3 =?

Afterward, simply divide by 2, 3, and 4 to find the solution

6 0

2 months ago

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation of all

Leona [12618]

Answer:

$n=(\frac{0.539(2.2)}{0.3})^2 =15.62 \approx 16$

In this scenario, the solution for n is determined to be 16 when rounded up to the closest integer

Step-by-step explanation:

The following information has been provided for this case:

$\sigma = 2.2$ symbolizes the population standard deviation

$Confidence =0.8$

$ME = 0.3$ signifies the preferred margin of error

The formula for the margin of error of the actual mean is given as:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

In this case, the margin of error (ME) is 0.03, and to find n, we rearrange equation (a) to get:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

With a confidence level of 80%, and the significance level being $\alpha=0.2$ and $\alpha/2 =0.1$ , the critical value is $z_{\alpha/2}=0.539$ . Plugging in these values into formula (b) results in:

$n=(\frac{0.539(2.2)}{0.3})^2 =15.62 \approx 16$

Thus, the solution for this situation results in n=16, rounded to the nearest whole number

5 0

1 month ago

Keisha has a rug in the shape of a rectangle that she wants to put in her bedroom. The rug has an area of 6 square meters. She w

babunello [11817]

<span>The answer is 2.4. Performing the division 6 by 2.5 gives a result of 2.4.</span>

7 0

2 months ago

Read 2 more answers

If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this

Leona [12618]

Answer:

10

Step-by-step explanation:

If there’s a direct correlation between variables x and y, it can be expressed as

y = kx,

where y is the dependent variable

x is the independent variable

k signifies the constant of variation

_____________________________

For the first scenario

y = 400

x = r

using y = kx, we can derive the relation:

400 = kr

To find k here:

k = 400/r

For the second scenario

y = r

x = 4

again using y = kx, the relationship is given by:

r = 4k

Solving for k:

k = r/4

Since both conditions provide the same equation, k will have the same value in both cases.

Thus, we conclude:

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

$\sqrt{r^{2} } = \sqrt{1600} \\r = 40$

Hence, r is calculated to be 40.

Thus, k = r/4 = 40/4 = 10.

The constant of variation is confirmed to be 10, which is the correct answer.

Verification:

k = 400/r = 400/40 = 10

7 0

3 months ago

Read 2 more answers

A truck with a heavy load drove from Boston to New York at 50 mph. After dropping of the load, it returned from New York to Bost

Zina [12379]

Answer:

175/3 or 58.333...

Step-by-step explanation:

This problem can be complex, but I'll simplify it. I apologize for the challenges involved in formatting fractions correctly. To ensure accuracy, I've added several parentheses that may seem unnecessary.

Let d denote the distance between the two cities.

The time it takes can be expressed as d/r, where r represents the speed; thus, from B to NY, it is d/50.

In the same manner, from NY to B, it's d/70.

The average velocity can be determined as 2d divided by the sum of d/50 and d/70, representing the average time.

Next, eliminate d from the equation to reach (d/d)*2/(1/50+1/70).

Now, you can multiply by the Least Common Multiple (LCM) over itself, which is 350/350.

The result after performing this calculation will yield 700/12, equating to 58.333...(This is how you would enter it into your RSM browser) I hope this clarification is useful. My apologies for the delay.

8 0

3 months ago