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Neporo4naja [7]
3 years ago
9

Please Help Select the correct answer.

Mathematics
1 answer:
AysviL [449]3 years ago
8 0
The correct answer is <span><span><em>B.) (∞,-1) ∪ (-1,2) ∪ (2,∞)</em>
</span></span>
To find the domain of a rational function<span>, set the denominator equal to zero and solve. 
</span>
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 :)
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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<span>÷8=5 so your probability is 2/5 or 40%
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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

so

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
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