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3 years ago

Combine the radicals 9vx - 3vx

Mathematics

1 answer:

tangare [24]3 years ago

3 0

6vx i’m pretty sure

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Mortgage rates: Following are interest rates (annual percentage rates) for a 30-year fixed rate mortgage from a sample of lender

andreev551 [17]

Answer:

98% Confidence interval: (4.144 ,4.498)

Step-by-step explanation:

We are given the following in the question:

4.751, 4.373, 4.177, 4.676, 4.425, 4.228, 4.125, 4.251, 3.951, 4.192, 4.291, 4.414

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{51.854}{12} = 4.321$

Sum of squares of differences = 0.5602

$s = \sqrt{\dfrac{0.5602}{11}} = 0.226$

98% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 11 and}~\alpha_{0.02} = \pm 2.718$

$4.321 \pm 2.718(\frac{0.226}{\sqrt{12}} ) = 4.321 \pm 0.1773 = (4.144 ,4.498)$

3 0

4 years ago

Read 2 more answers

Which of the following best describes the equation below?

DanielleElmas [232]

Answer:

Step-by-step explanation:

3x+33+6x=9x-33

9x+33=9x-33

33=-33

no solution

7 0

3 years ago

If 3x-y=123x−y=123, x, minus, y, equals, 12, what is the value of \dfrac{8^x}{2^y} 2 y 8 x start fraction, 8, start superscrip

julia-pushkina [17]

Answer:

$2^{12}=4,096$

Step-by-step explanation:

You know that $3x-y=12$ and have to find

$\dfrac{8^x}{2^y}$

Use the main properties of exponents:

1. $(a^m)^n=a^{m\cdot n}$

2. $\dfrac{a^m}{a^n}=a^{m-n}$

Note that

$8=2^3,$

then

$7^x=(2^3)^x=2^{3\cdot x}=2^{3x}$

Now

$\dfrac{8^x}{2^y}=\dfrac{2^{3x}}{2^y}=2^{3x-y}$

Since $3x-y=12,$ then $2^{3x-y}=2^{12}=4,096$

3 0

3 years ago

Read 2 more answers

(07.03)

Eduardwww [97]

Answer:the answer is 1

Step-by-step explanation:

2(4y-1)=6

Divid by 2 on both sides

4y-1=3

Add 1 to both sides

4y=4

Divid both sides by 4

Y=0

4 0

3 years ago

Select the correct product. (x2 + 6x + 9)(3x - 1) 3x3 + 17x2 + 21x - 9 3x3 - 17x2 - 21x - 9 3x3+ 19x2 + 27x + 9 3x3+ 19x2 + 9x -

charle [14.2K]

3x^3 + 17x^2 + 21x - 9

this is the correct answer for this problem.

5 0

4 years ago

Read 2 more answers