Answer:
D. (14x-4)/(8x^2) and (x^2-x)/(8x^2)
Step-by-step explanation:
The least common denominator will be 8x^2, the product of 2 and x to the highest of their powers in either of the denominators.
47 is 10 less than my number. 67 is 10 more than my number. What is my number
2 answers:
You might be interested in
Answer:
The null and alternative hypothesis for this study are:
The null hypothesis is rejected (P-value=0.004).
There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample has a size n=150.
The sample mean is M=18200.
The standard deviation of the population is known and has a value of σ=1400.
We can calculate the standard error as:
Then, we can calculate the z-statistic as:
This test is a left-tailed test, so the P-value for this test is calculated as:
As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
The perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
<h3>What is perimeter of plane?</h3>The measure of the boundary of a plane or shape is called its perimeter. The perimeter of a plane or shape is the sum of all the sides.
A small rectangle has a length of 6.2 feet and width of 1.8 feet. The parameter of this triangle is,
The small rectangle has a length of 6.2 and the larger rectangle has a length of 12.4 feet. Thus the scale factor of enlargement is,
The perimeter of the original rectangle is 16 feet and scale factor is 2. Thus, the perimeter of the enlarged rectangle is,
The small rectangle has width of 1.8 feet and scale factor is 2. Thus, the width of the larger rectangle is,
Hence, the perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
Learn more about the perimeter of plane here;