How do you simplify (3x+1/2)+(7x-41/2)

Describe the relationship between the<br> values of the digits in the number

Lelechka [254]

Answer:

Step-by-step explanation:

The relationship between the values of the digits in the number 9,999,999 is that, the value of each digit is 10 times of the value of the ...

8 0

2 years ago

How is the process of this operation? <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B6%5D%7Bz%2B5%7D%20%7D%7B%20%5C

Yuki888 [10]

$a^\frac{n}{m}=\sqrt[m]{a^n}\\---------------\\\\ \dfrac{ \sqrt[6]{z+5} }{ \sqrt{z+5} } =(z+5)^\frac{1}{6}:(z+5)^\frac{1}{2}\\\\/use:a^n\cdot a^m=a^{n+m}/\\\\=(z+5)^{\frac{1}{6}+\frac{1}{2}}=(z+5)^{\frac{1}{6}+\frac{3}{6}}=(z+5)^\frac{4}{6}=(z+5)^\frac{2}{3}\\\\=\sqrt[3]{(z+5)^2}=\sqrt[3]{z^2+2z\cdot5+5^2}=\sqrt[3]{z^2+10z+25}$

4 0

2 years ago

A survey is to be conducted to determine the average driving in miles by Minnesota State University, Mankato students. The inves

Nadusha1986 [10]

Answer:

$n=(\frac{1.75(8.2)}{1.5})^2 =91.52 \approx 92$

So the answer for this case would be n=92 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 margin of error is given by this formula:

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

And on this case we have that ME =1.5 and we are interested in order to find the value of n, if we solve n from equation (b) we got:

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

The critical value for 92% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.04;0;1)", and we got $z_{\alpha/2}=1.75$ , replacing into formula (b) we got:

$n=(\frac{1.75(8.2)}{1.5})^2 =91.52 \approx 92$

So the answer for this case would be n=92 rounded up to the nearest integer

5 0

3 years ago

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dmitriy555 [2]

Answer: 3 degrees F

Step-by-step explanation:

8 0

2 years ago

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Solve by multiplication and addition. Show each step of your work. 2x – 3y = 18 4x + y = 8 Please help me!!!! I am giving 50 poi

ivanzaharov [21]

Answer:

(x, y ) = (3 , - 4 )

Step-by-step explanation:

given the 2 equations

2x - 3y = 18 → (1)

4x + y = 8 → (2)

multiply (2) by 3

12x + 3y = 24 → (3)

add (1) and (3) term by term to eliminate the term in y

(2x + 12x) + (- 3y + 3y) = (18 + 24)

14x = 42 ( divide both sides by 14 )

x = 3

substitute x = 3 in (1) or (2) to evaluate for y-coordinate

(2) → 12 + y = 8 ⇒ y = 8 - 12 = - 4

solution is (3, - 4 )

8 0

2 years ago

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