Answer:

**Answer:**

length: 14.2 ft; width 4.2 ft.

**Step-by-step explanation:**

Let x represent the length of the rectangle in feet. Then x-10 represents the width, and the area is ...

area = length×width

60 = x(x -10) . . . . . substitute the expressions for area, length, width

60 = x² -10x

85 = x² -10x +25 . . . . add (10/2)² to complete the square

85 = (x -5)² . . . . . . . . . rewrite as a square

√85 = x -5 . . . . . . . . . take the square root. Only the positive root is useful for this problem

x = 5 + √85 ≈ 14.2

x-10 = 4.2

**The length and width of the rectangle are 14.2 ft and 4.2 ft**.

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y 2 ( y 2 − 4 ) = x 2 ( x 2 − 5 ) , ( 0 , − 2 ) (devil's curve) y2(y2-4)=x2(x2-5), (0,-2) (devil's curve)

In what order must you preform the operations indicated by a negative rational exponent?

Ten samples of coal from a Northern Appalachian source had an average mercury content of 0.242 ppm with a standard deviation of 0.04 ppm. Find a 95% confidence interval for the mean mercury content of coal from this source. Round the answers to four decimal places.

Four times the quotient of 3 and 4

I=$720, P=$1000, r=9%Find the amount of the time.

In what order must you preform the operations indicated by a negative rational exponent?

Ten samples of coal from a Northern Appalachian source had an average mercury content of 0.242 ppm with a standard deviation of 0.04 ppm. Find a 95% confidence interval for the mean mercury content of coal from this source. Round the answers to four decimal places.

Four times the quotient of 3 and 4

I=$720, P=$1000, r=9%Find the amount of the time.

**Answer:**

x > -9

**Step-by-step explanation:**

–4x ≤ 36

Divide by -4, remembering to flip the inequality

-4x/-4 > 36/-4

x > -9

**Answer:**

F(x)=-x+2

**Step-by-step explanation:**

equation

mx+b

m= slope

x

b = y-intercept

**Answer:**

And rounded up we have that n=2165

**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".

represent the real population proportion of interest

represent the estimated proportion for the sample

n is the sample size required (variable of interest)

represent the critical value for the margin of error

The population proportion have the following distribution

**Solution to the problem**

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by and . And the critical value would be given by:

The margin of error for the proportion interval is given by this formula:

(a)

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

(b)

We can assume that the estimated proportion is 0.5 since we don't have other info provided to assume a different value. And replacing into equation (b) the values from part a we got:

And rounded up we have that n=2165

Answer:

Step-by-step explanation:

The null hypothesis is the statement or claim that is believed or assumed to be true. In this case, the null hypothesis is "They believe that 40% of first-time borrowers take out smaller loans than other borrowers". Since we are dealing with proportion, we will denote it with p. The null hypothesis would be

p = 0.4

The alternative hypothesis is what the researcher expects or predicts. It is the statement that is believed to be true if the null hypothesis is rejected. The alternative hypothesis is "They perform a hypothesis test to determine if the percentage is the same or different from 40%". It would be written as

p ≠ 0.4

**Answer: 6 inches **

**Step-by-step explanation:**

Hope this helped

**Answer:**

The answer is 2

**Step-by-step explanation:**

because if you can add the 9 and the 4 you will get 13 and you subtract 13 from 11 and you get 2.I hope that helps

**Answer:**