draw and label a parallelogram with a base twice as long as the height and area less than 60 square inches find the area.

Cecily made a poster in the shape of a quadrilateral

Sholpan [36]

And what else, add more detail so i can answer

4 0

3 years ago

Find the area of the part of the paraboloid z = 9 - x^2 - y^2 that lies above the xy-plane.

svetoff [14.1K]

Parameterize this surface (call it $S$ ) by

$\vec r(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(9-u^2)\,\vec k$

with $0\le u\le3$ and $0\le v\le2\pi$ . Take the normal vector to $S$ to be

$\vec r_u\times\vec r_v=2u^2\cos v\,\vec\imath+2u^2\sin v\,\vec\jmath+u\,\vec k$

Then the area of $S$ is

$\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{2\pi}\int_0^3u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv$

$=\displaystyle2\pi\int_0^3u\sqrt{1+4u^2}\,\mathrm du=\boxed{\frac{37\sqrt{37}-1}6\pi}$

3 0

4 years ago

A manager randomly selected 25 large cash transactions at a bank that were made in January. The manager then carefully tracked d

Dmitriy789 [7]

Answer:

0.4629 = 46.29% probability that the manager finds more than two such transactions

Step-by-step explanation:

For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A manager randomly selected 25 large cash transactions at a bank that were made in January.

This means that $n = 25$

The chance for a procedural error is 10%

This means that $p = 0.1$

What is the probability that the manager finds more than two such transactions?

This is:

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718$

$P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994$

$P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659$

$P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0718 + 0.1994 + 0.2659 = 0.5371$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5371 = 0.4629$

0.4629 = 46.29% probability that the manager finds more than two such transactions

4 0

3 years ago

Area of a rectangle is 42 sq inches and one side is 12 inches long what is the perimeter of the rectangle?

12345 [234]

Area if the rectangle = 42 sq. inch
Area of a rectangle = l × b
42 = 12 × b
b = 42/12 = 3.5 inch
Now, perimeter of a rectangle= 2(l + b)
= 2(12+3.5) = 2(15.5) = 31 inches

7 0

3 years ago

Rays PQ and PS are perpendicular to each other.<br><br> What is the measure of LRPS plzzzzz

inna [77]

Answer:

m<RPS = 53 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram shown;

m<QPR + m<RPS = 90

Given that;

m<QPR = x

m<RPS = x+16

Substitute into the formula;

m<QPR + m<RPS = 90

x+x+16 = 90

2x+16 = 90

2x = 90-16

2x = 74

x = 74/2

x = 37degrees

Get m<RPS;

Since m<RPS = x+16

m<RPS = 37 + 16

m<RPS = 53 degrees

3 0

4 years ago