Rectangle ABCD is dilated to create rectangle A'B'C'D'. The width of

If x is the least common multiple of the set {6, 8, 12} and y is the greatest common factor

Anarel [89]

Answer:

12

Step-by-step explanation:

The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12

8 0

3 years ago

1/8(x-a)+b how do I put that in slope intercept form, and what are the values of A & B

Nata [24]

The slope intercept form is y=mx+b so u need the exact expression u can't complete a full equation

3 0

3 years ago

Assume the population has a normal distribution. A sample of 25 randomly selected students Has a mean test score of 81.5 With a

Natasha_Volkova [10]

Answer:

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 2.064

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.064\frac{10.2}{\sqrt{25}} = 4.21$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29

The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

6 0

3 years ago

Roland needs 8 sheets of fabric that are each 45 yard long.

kompoz [17]

The total number of yards is 360 yards

<h3>How to determine the number of yards?</h3>

The given parameters are:

Number of sheets = 8

Yard per sheet = 45 yards

The total number of yards is calculated as:

Total number of yards = Number of sheets * Yard per sheet

Substitute the known values in the above equation

Total number of yards = 8 * 45 yards

Evaluate the product

Total number of yards = 360 yards

Hence, the total number of yards is 360 yards