Simplify. 1/4√8n √2n^3

Below are monthly rents paid by 30 students who live off campus.

Hatshy [7]

What is the question

6 0

1 year ago

Help please!!

kondor19780726 [428]

C is the correct answer. A line is proportional if it is a straight line that passes through the origin, and while it does pass through the origin, it isn’t completely straight.

8 0

3 years ago

An operations analyst counted the number of arrivals per minute at an ATM in each of 30 randomly chosen minutes. The results wer

liraira [26]

Step-by-step explanation:

since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is

$\hat{\lambda}=\bar{x}=\frac{\sum x}{n}=\frac{30}{30}=1$

So probabaility for $\mathrm{X}=1$ is

$P(X=1)=\frac{e^{-\lambda} \lambda^{x}}{x !}=\frac{e^{-1} \cdot 1^{1}}{1 !}=0.3679$

So expected frequency for $X=1$ is $0.3679^{*} 30=11.037$ (or $\left.11.04\right)$ .

8 0

3 years ago

What basic trigonometric identity would you use to verify that

Dafna1 [17]

Given the equation:

$\frac{\sin^2x+\text{cos}^2x}{\cos x}=\sec x$

Let's determine the trigonometric identity that you could be used to verify the exquation.

Let's determine the identity:

Apply the trigonometric identity:

$\sin ^2x+\cos ^2x=1$

$\cos x=\frac{1}{\sec x}$

Replace cosx for 1/secx

Thus, we have:

$\begin{gathered} \frac{\sin^2x+\cos^2x}{\frac{1}{\sec x}} \\ \\ =(\sin ^2x+\cos ^2x)(\sec x) \\ \text{Where:} \\ (\sin ^2x+\cos ^2x)=1 \\ \\ We\text{ have:} \\ (\sin ^2x+\cos ^2x)(\sec x)=1\sec x=\sec x \end{gathered}$

The equation is an identity.

Therefore, the trignonometric identity you would use to verify the equation is:

$\cos ^2x+\sin ^2x=1$

ANSWER:

$\cos ^2x+\sin ^2x=1$

6 0

1 year ago

in CAT the measure of the largest angle is 10 less than 5 time the smallest angle. The measure of the middle angle is 6 more tha

Vsevolod [243]

Answer:

The measure of middles angle is 113.5° .

Step-by-step explanation:

Given as :

The measure of the largest angle is 10 less than 5 time the smallest angle.

The measure of the middle angle is 6 more than twice the measure of the largest angle

Let The largest angle = L

Let The middle angle = M

Let The smallest angle = S

As per statement

Largest angle = 5 times smallest angle - 10

i.e L = 5 × S - 10 .....1

Again

Middle angle = twice largest angle + 6

i.e M = 2 × L + 6 ......2

Since for any Triangle sum of three angles = 180°

i.e ∠L + ∠M + ∠S = 180°

Or, ( 5 × S - 10 ) + ( 2 × L + 6 ) + S = 180°

Or, ( 5 × S - 10 ) + [ 2 × (5 × S - 10 ) + 6 ] + S = 180°

Or, 5 S - 10 + (10 S - 20 + 6) + S = 180°

Or, 5 S - 10 + 10 S - 20 + 6 + S = 180°

Or, (5 + 10 + 1) S - 24 = 180°

Or, 16 S = 180° + 24

Or, 16 S = 204

∴ S = $\dfrac{204}{16}$

i.e S = 12.75

So, The measure of smallest angle = S = 12.75°

And

L = 5 × 12.75 - 10

i.e L = 53.75

So, The measure of Largest angle = L = 53.75°

And

M = 2 × L + 6

Or, M = 2 × 53.75 + 6

i.e M = 107.5 + 6 = 113.5

So, The measure of middles angle = M = 113.5°

Hence, The measure of middles angle is 113.5° . Answer

3 0

3 years ago