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3 years ago

Find m A) 110 B) 222 C) 28 D) 82

Mathematics

1 answer:

ioda3 years ago

4 0

Answer:

As angel WVU = angel WVF + angel FVU

Therefore angel WVF =152 - 70

so, angel WVF = 82

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Three equivalent ratios to 8:10

galben [10]

Three equivalent ratios:
16:20
24:30
32:40

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3 years ago

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$

The probability for exponential distribution is given as:

$P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}$

a) P( time between the next two calls will be 54 seconds or less)

$P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763$

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

b) P(time between the next two calls will be greater than 118.5 seconds)

$p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285$

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

6 0

3 years ago

9548305834058+546325413

Ksju [112]

I don’t really know but it’s lost like the answer and yea

3 0

3 years ago

Read 2 more answers

TRIANGLE XYZ has angles measuring 54 degrees and 29 degrees.

mihalych1998 [28]

Let's figure out the other angle in each triangle.
A triangles' angles add up to 180°, so
XYZ has angles measuring 29, 54, and 97°.
X'Y'Z' has angles measuring 29, 59, and 92°.

All dilations are similar, meaning that if you shrink one down to the size of the other, they will be the same. Consider two triangles that have been dilated. The sides have changed but the angles are the same.

Triangle XYZ and triangle X'Y'Z' have angle measures that are not the same, therefore they are not similar. All dilations are similar, so X'Y'Z' cannot be a dilation of XYZ.

7 0

3 years ago

Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the abo

Likurg_2 [28]

Given :

Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above.

To Find :

At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone.

Solution :

We know, volume of a cone is given by :

$V = \dfrac{\pi r^2h}{3}$

Also, h = r/5

r = 5h

$V = \dfrac{\pi (5h)^2h}{3}\\\\V = \dfrac{\pi 25h^3}{3}$

Differentiating above equation w.r.t h, we get :

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{\pi 25h^3}{3})\\\\\dfrac{dV}{dh} = 25\pi h^2\dfrac{dh}{dt}\\\\\dfrac{dh}{dt}= \dfrac{\dfrac{dV}{dh}}{25\pi h^2 }\\\\\dfrac{dh}{dt}=\dfrac{10}{25\times 3.14\times 2^2}\\\\\dfrac{dh}{dt}=0.032\ cm/s$

Hence, this is the required solution.

5 0

3 years ago