All categories

3 years ago

Please Help Select the correct answer.

Mathematics

1 answer:

AysviL [449]3 years ago

8 0

The correct answer is B.) (∞,-1) ∪ (-1,2) ∪ (2,∞)

To find the domain of a rational function, set the denominator equal to zero and solve.

I have to go in like 2 minutes, so I won't be able to explain it in full detail, but I hope this helps. Have an amazing day :)

You might be interested in

What is the product of a number w and 737

GarryVolchara [31]

We don't know what the variable 'w' stands for, so we can't find the product. But we can write the sentence as an equation:

737w

4 0

3 years ago

Read 2 more answers

Please help me I dont understand this AT ALL!

Vladimir79 [104]

The probability of rolling a 1 or a 5 is 16/40 reduced to 2/5. 16/40÷8 16÷8=2 40÷8=5 so your probability is 2/5 or 40%

5 0

3 years ago

What is the volume of the solid whose cross- sections are circular disks perpendicular to the x-axis and with diameters on the r

12345 [234]

Answer:

the volume of the solid is $\frac{\pi }{120}$

Step-by-step explanation:

Given the data in the question;

y = x and y = x²

x = x²

x - x² = 0

Radius will be; r = ( x - x² )/2

Area of the circular disk πr² = π[ ( x - x² )/2 ]²

A = $\frac{\pi }{4}$ ( x - x² )²

So, our volume will be;

V = ₀∫¹ A(x) dx

we substitute

= ₀∫¹ $\frac{\pi }{4}$ ( x - x² )² dx

{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³ }

so we have;

= ₀∫¹ $\frac{\pi }{4}$ ( x² + x⁴ - 2x³ ) dx

= $\frac{\pi }{4}$ $[$ $\frac{x^3}{3}$ + $\frac{x^5}{5}$ - $\frac{2}{4} x^4$ $]^1_0$

= $\frac{\pi }{4}$ [ $\frac{1}{3}$ + $\frac{1}{5}$ - $\frac{2}{4}$ ]

= $\frac{\pi }{4}$ [ $\frac{1}{30}$ ]

V = $\frac{\pi }{120}$

Therefore, the volume of the solid is $\frac{\pi }{120}$

6 0

3 years ago

A recipe that makes 6 servings calls for 1/3 cup of sugar. Arlene modifies the recipe so that it can serve 9. How many cups of s

ella [17]

So with 1 cup of sugar u could have 18 servings. divide that by 2 equals 9 which is how many servings you need. divide 1 by 2 and get 1/2. she would use 1/2 cups of sugar.

8 0

3 years ago

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

Arturiano [62]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 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)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

The margin of error is given by this formula:

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

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

4 0

3 years ago