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Svetllana [295]

2 years ago

6

what is the algebraic expression for the following word phrase: the quotient of 6 and the sum of x+y?

2 answers:

Nana76 [90]2 years ago

8 0

It's 6 divided by (x+y)

Gemiola [76]2 years ago

6 0

I think the answer is

6 ÷ (x+y) =

You might be interested in

For the function given below, find a formula for the Riemann sum obtained by dividing the interval (0, 3) into n equal subinterv

Viktor [21]

Splitting up [0, 3] into $n$ equally-spaced subintervals of length $\Delta x=\frac{3-0}n = \frac3n$ gives the partition

$\left[0, \dfrac3n\right] \cup \left[\dfrac3n, \dfrac6n\right] \cup \left[\dfrac6n, \dfrac9n\right] \cup \cdots \cup \left[\dfrac{3(n-1)}n, 3\right]$

where the right endpoint of the $i$ -th subinterval is given by the sequence

$r_i = \dfrac{3i}n$

for $i\in\{1,2,3,\ldots,n\}$ .

Then the definite integral is given by the infinite Riemann sum

$\displaystyle \int_0^3 2x^2 \, dx = \lim_{n\to\infty} \sum_{i=1}^n 2{r_i}^2 \Delta x \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac6n \sum_{i=1}^n \left(\frac{3i}n\right)^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3} \sum_{i=1}^n i^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3}\cdot\frac{n(n+1)(2n+1)}6 = \boxed{18}$

8 0

1 year ago

List below are the speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, CA. Use the sample data to construct

zheka24 [161]

Answer:

The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485

Step-by-step explanation:

Confidence interval of standard deviation is given as follows;

$\sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}$

s = $\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }$

Where:

$\bar x$ = Sample mean

s = Sample standard deviation

n = Sample size = 7

χ = Chi squared value at the given confidence level

$\bar x$ = ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857

The sample standard deviation s = $\sqrt{\dfrac{\Sigma (x - \bar x)^2}{n - 1} }$ = 2.854

The test statistic, derived through computation, = ±3.707

Which gives;

$C. I. = 57.857 \pm 3.707 \times \dfrac{2.854}{\sqrt{7} }$

$\sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{16.812}^{}}}< \sigma < \sqrt{\dfrac{\left (7-1 \right )2.854^{2}}{0.872}}$

1.7047 < σ < 7.485

The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.

7 0

2 years ago

Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.

iogann1982 [59]

Answer:

The angles of a parallelogram are 135°-45°-135°-45°

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

Remember that

The sum of a exterior angle and its interior angle is equal to 180 degrees

Let

x ----> the measure of one interior angle of parallelogram

y ----> the measure of the other interior angle of parallelogram

we have that

$x+\frac{x}{3}=180^o$

solve for x

$\frac{4}{3}x=180^o\\\\x=(180^o)3/4\\\\x=135^o$

<em>Find the measure of the other interior angle of parallelogram</em>

Remember that consecutive interior angles are supplementary

$x+y=180^o$

substitute the value of x

$135^o+y=180^o$

solve for y

$y=45^o$

therefore

The angles of a parallelogram are 135°-45°-135°-45°

3 0

2 years ago

Why is 1/3 greater than 1/6

Korvikt [17]

Because 1/3 is equal to 2/6 which is greater than 1/6

3 0

2 years ago

Read 2 more answers

HELPPP ME PLZZZZZZZZZZZZZZZZZZZZ

steposvetlana [31]

<span>m, because triangle ABC is similar to triangle EDC (by 3 congruent angles).</span>

6 0

2 years ago

Read 2 more answers