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Nesterboy [21]
2 years ago
14

Whats the most accurate estimation of 65+77

Mathematics
2 answers:
andre [41]2 years ago
7 0
The answer to your question is 142
Bogdan [553]2 years ago
6 0
You could round 77 to 80 and 65 to 70 and then add 70 and 80 and you will get 150
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Can someone please help me workout this problem? If the quotient obtained by dividing 8x^4 - 2x^2 + 6x - 7 by 2x+1 is equal to 4
Angelina_Jolie [31]

Answer:

The answer to your question is p = -2 q = -6  remainder = -10

Step-by-step explanation:

Data

Dividend = 8x⁴ - 2x² + 6x - 7

Divisor    = 2x + 1

Quotient = 4x³ + px² - qx + 3

Process

1.- Divide using long division

                                4x³ - 2x² + 3                          

                   2x + 1   8x⁴ + 0x³ - 2x² + 6x - 7

                             - 8x⁴ - 4x³

                                 0   - 4x³ - 2x²

                                      + 4x³ +2x²

                                          0       0   + 6x - 7

                                                          -6x - 3

                                                             0 - 10    Remainder

         px² = -2x²  then  p = -2

         -qx = 6x     then q = -6

5 0
2 years ago
How to find the volume
aev [14]

Answer: 1.44 centimeters cubed.

Step-by-step explanation:

To find the volume of a rectangular prism, use the following formula:

V=whl, where w equals the width, h equals the height, and l equals the length.

Substituting 0.6, 1, and 2.4 for the variables:

V = 0.6 * 1 * 2.4

V = 1.44 cm^3

The volume of the prism is 1.44 centimeters cubed.

7 0
2 years ago
The current process has a mean of 2.50 and a std deviation of 0.05. A new process has been suggested by research. What sample si
Novay_Z [31]

Answer:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

n=(\frac{z_{\alpha/2} s}{ME})^2 (2)  

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(0.05)}{0.02})^2 =24.01  

So the answer for this case would be n=25 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)  

\sigma=0.05 represent the population standard deviation  

n represent the sample size (variable of interest)  

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}  

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =0.02 and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} s}{ME})^2 (2)  

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(0.05)}{0.02})^2 =24.01  

So the answer for this case would be n=25 rounded up to the nearest integer  

7 0
2 years ago
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Centimeter is less than half an inch
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