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3 years ago

4/5 of the rectangle to the left is shaded. How many extra units need to be shaded to increase this to 5/6

Mathematics

1 answer:

g100num [7]3 years ago

6 0

Answer:

Step-by-step explanation:

There is no rectangle> no picture

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Which of these is an example of a random sample?

statuscvo [17]

Answer:

The random sample is D. The other 3 cannot be taken as random since they involve groups at a specific place or doing a specific thing.

Step-by-step explanation:

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3 years ago

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After arriving at the university student medical clinic, the waiting times to receive service after checking-in follow an expone

Marina CMI [18]

Answer:

6 students are served per hour.

45.12% probability a student waits less than 6 minutes.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

mean of 10 minutes.

This means that $m = 10$ , so $\mu = \frac{1}{10} = 0.1$

How many students are served per hour?

One student is served each 10 minutes, on average

An hour has 60 minutes

60/10 = 6

6 students are served per hour.

Calculate the probability a student waits less than 6 minutes.

$P(X \leq x) = 1 - e^{-0.1*6} = 0.4512$

45.12% probability a student waits less than 6 minutes.

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3 years ago

Write an integral in polar coordinates equivalent to the following:

Alex73 [517]

The region is a segment of a circle with radius √2 lying above the line $y=1$ . In polar coordinates, this line has equation

$y = r\sin(\theta) = 1 \implies r = \csc(\theta)$

and the circle has equation

$x^2+y^2 = r^2 = 2 \implies r=\sqrt2$

The two curves meet when

$\csc(\theta) = \sqrt2 \implies \sin(\theta) = \dfrac1{\sqrt2} \implies \theta = \dfrac\pi4 \text { or } \theta = \dfrac{3\pi}4$

Then the same integral in polar coordinates is

$\displaystyle \int_{-1}^1 \int_1^{\sqrt{2-x^2}} xy \, dy \, dx = \boxed{\int_{\pi/4}^{3\pi/4} \int_{\csc(\theta)}^{\sqrt2} r^3 \cos(\theta) \sin(\theta) \, dr \, d\theta}$

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2 years ago

Translate to an algebraic expression <br><br> 49 increased by d what translation is

Nikitich [7]

49 increased by d is 49 + d but I feel that this isn't the whole statement...?

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3 years ago

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you are preparing breakfast platters for teacher appreciation week you are serving an equal number of muffins and bagels the muf

Maurinko [17]

Answer:

Step-by-step explanation:

The LCD of 6 and 4 is 12.

6: 6, 12

4: 4, 8, 12

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3 years ago