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3 years ago

What is the probability of getting a tails, vowel and an even number?

Mathematics

2 answers:

Zinaida [17]3 years ago

8 0

Answer:

$\frac{1}{15}$

This is assuming the die is from 1 - 5

Step-by-step explanation:

Tails: 0.5

Vowel: $\frac{1}{3}$

Even number: $\frac{2}{5}$

$\frac{1}{2}* \frac{1}{3} *\frac{2}{5} =\frac{2}{30}=\frac{1}{15}$

matrenka [14]3 years ago

5 0

The coin has two sides, one is heads and one is tails. So the probability of getting tails is 1/2, or 50%.
The “circle” divided into 3 parts, ABC...the only vowel is A, B and C are constants. So the probability of getting a vowel is 1/3, or 33.3333.... chance.
The four sided dice has 4 sides, 4 numbers, 1-4. 2 numbers are even. So 2/4 or 1/2 or 50%

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Find the volume of the ellipsoid x^2+y^2+9z^2=64

yuradex [85]

Parameterize the ellipsoid using the augmented spherical coordinates:

$\begin{cases}x=\frac18\rho\cos\theta\sin\varphi\\\\y=\frac18\rho\sin\theta\sin\varphi\\\\z=\frac38\rho\cos\varphi\end{cases}$

Then the Jacobian for the change of coordinates is

$\mathbf J=\dfrac{\partial(x,y,z)}{\partial(\rho,\theta,\varphi)}=\begin{bmatrix}\frac18\cos\theta\sin\varphi&-\frac18\rho\sin\theta\sin\varphi&\frac18\rho\cos\theta\cos\varphi\\\\\frac18\sin\theta\sin\varphi&\frac18\rho\cos\theta\sin\varphi&\frac18\rho\sin\theta\cos\varphi\\\frac38\cos\varphi&0&-\frac38\rho\sin\varphi\end{bmatrix}$

which has determinant

$\det\mathbf J=-\dfrac3{512}\rho^2\sin\varphi$

Then the volume of the ellipsoid is given by

$\displaystyle\iiint_E\mathrm dx\,\mathrm dy\,\mathrm dz=\iiint_E|\det\mathbf J|\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

where $E$ denotes the spaced contained by the ellipsoid. In particular, we have the definite integral and volume

$\displaystyle\frac3{512}\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=1}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\dfrac\pi{128}$

4 0

4 years ago

Jazmyn is baking and selling cupcakes for $15 per dozen. She would like to make more than $120 in cupcake sales. Which number li

baherus [9]

Answer:

> 8

Kindly find number line in attacked picture

Step-by-step explanation:

Price of cupcake per dozen = $15

Projected amount of sales > $120

In other to make such amount in sale, we need to obtain the number of dozens of cupcake :

Project amount of sales / price per dozen

> $120 / $15

> 8 dozens

4 0

3 years ago

Kim orders catering from Midtown Dinerfor $35. She spends $5 on a large order of potato salad and the rest on turkey sandwich. E

aivan3 [116]

Answer:

Kim had bought 12 sandwiches.

Step-by-step explanation:

Given:

Amount spend at Midtown Dine = $35

Amount spend on large order of potato salad = $5

Cost of each sandwich = $2.5

We need to find the number of sandwich did Kim bought.

Solution:

Let the number of sandwich Kim bought be 'x'.

Now we know that;

Amount spend at Midtown Dine is equal to sum of Amount spend on large order of potato salad and number of sandwich Kim bought multiplied by Cost of each sandwich.

framing in equation form we get;

$5+2.5x=35$

Subtracting both side by 5 we get;

$5+2.5x-5=35-5\\\\2.5x=30$

Dividing both side by 2.5 we get;

$\frac{2.5x}{2.5}=\frac{30}{2.5}\\\\x=12$

Hence Kim had bought 12 sandwiches.

3 0

3 years ago

James buys 8 packages, each 20 mechanical pencils, and passes out 1/4 of then to his friends. Write and evaluate an expression t

Usimov [2.4K]

Answer:

the answer is 131 because if you multiply 20 by 8 is 190 then you divide 1/4 by 190 and you get 131

Step-by-step explanation:

3 0

3 years ago

At a school carnival, 33 out of 55 tickets sold were early-admission tickets. What percentage of the tickets were early-admissio

7nadin3 [17]

Answer:

60%

Step-by-step explanation:

33/55 = .6

multiple by 100 to convert the decimal into a percentage

.6 × 100 = 60%

8 0

3 years ago