Anyone know this answer 15e^3/3e simplify

Which pair of numbers is relatively prime? A. 42 and 77 B. 34 and 55 C. 45 and 102 D. 99 and 123

leonid [27]

Two pair of numbers are said to be relatively prime if there is no integer greater than 1, that divides them both.

Consider the given pair of the numbers to identify which pair is relatively prime.

1. Consider 42 and 77

7 is the number which divides 42 and 77 both. Therefore, they are not relatively prime.

2. Consider 34 and 55

Since, there is no number greater than 1, which divides both the numbers. So, they are relatively prime numbers.

3. Consider 45 and 102

3 is the number divides 45 and 102 both. Therefore, they are not relatively prime.

4. Consider 99 and 123

3 is the number divides 99 and 123 both. Therefore, they are not relatively prime.

Therefore, Option B is the correct answer.

8 0

3 years ago

A fast food restaurant executive wishes to know how many fast food meals adults eat each week. They want to construct a 98% conf

adelina 88 [10]

Answer:

$n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337$

So the answer for this case would be n=1337 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1.1$ represent the population standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

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

And on this case we have that ME =0.07 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

The critical value for 98% of confidence interval now can be founded using the normal distribution. And in excel we can use this formula to find it:"=-NORM.INV(0.01;0;1)", and we got $z_{\alpha/2}=2.326$ , replacing into formula (b) we got:

$n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337$

So the answer for this case would be n=1337 rounded up to the nearest integer

3 0

3 years ago

Where can I find the shaded area of this diagram?

erik [133]

To find the area of the figure, we divide it into two rectangles as follows:

And we find the area of each rectangle, which is given by:

$\begin{gathered} A=b\cdot h \\ \text{where b = base and h = height} \end{gathered}$

Area rectangle 1:

$A=3\cdot10=30m^2$

Area rectangle 2:

$A=4\cdot6=24m^2$

Therefore, the shaded area of the diagram is:

$A=30+24=54m^2$

Answer: 54 m^2

7 0

1 year ago

I need help on this question

Wewaii [24]

Answer:

11

Step-by-step explanation:

h(-4)= -13

h(-2)=8

-13+3(8)=11

4 0

3 years ago

I need help please: Common Monomial Factors

Pani-rosa [81]

Answer:

Only Ivan

Step-by-step explanation:

First of all - never do what Javier did!! You can’t separate things like that. It’s a violation of math (also it breaks my heart, and you don’t want that!).

Ivan is correct in taking out a factor of 2 from both the top and bottom.

6x+4 = 2(3x+2)

12x+4 = 2(6x+2)

The twos cancel, and you get 3x+2 / 6x+2.

7 0

3 years ago