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3 years ago

If one letter is chosen at random from the word refuse what is the probability that the letter chosen will be an e

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

5 0

Answer: 1/3

Step-by-step explanation: The probability is given by the number of times the event could happen (in this case get an "e"), over the number of all the possibilities (in this case, the six letters of the word)

Therefore, probability $\frac{letter_e}{all letter}=\frac{2}{6} =\frac{1}{3}$

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aev [14]

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The ratio of the sugar to butter in the original recipe is

B. If Travis accidentally put a whole cup of butter in the mix, then he needs to put
cup of sugar.
C. Travis has to put 1/8 cup of butter, but he put 1 cup of butter. The ratio is

If Travis wants to keep the ratios the same as they are in the original recipe, he needs to put 8 times more of all the other ingredients.

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2 years ago

Use spherical coordinates. evaluate (9 − x2 − y2) dv, where h is the solid hemisphere x2 + y2 + z2 ≤ 4, z ≥ 0.

avanturin [10]

In spherical coordinates, we have

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

which gives volume element

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$

and so the triple integral is given by

$\displaystyle\iiint_H(9-x^2-y^2)\,\mathrm dV$
$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9-\rho^2\sin^2\varphi)\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$
$=\displaystyle2\pi\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9\rho^2\sin\varphi-\rho^4\sin^3\varphi)\,\mathrm d\rho\,\mathrm d\varphi$
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3 years ago

What’s the equation ? (2,-2) ( 4,1)

oksano4ka [1.4K]

Answer:

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Step-by-step explanation:

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3 years ago

How big of box is needed to pack 64 boxes that are 1ft x 1ft x 1ft

AVprozaik [17]

Answer:

something with a volume of 64 ft³, such as a box 4 ft × 4 ft × 4 ft

Step-by-step explanation:

The volume of the smaller box is (1 ft)³ = 1 ft³. So 64 of them require a box with a volume of 64 ft³.

The most compact of such boxes is one that is cube-shaped itself. Such a box would have dimensions of ...

∛(64 ft³) = 4 ft

A box that is 4 ft × 4 ft × 4 ft would hold the 64 smaller boxes.

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3 years ago

Find the percent of change. Round to the nearest tenth of a percent if necessary. 57 people to 65 people. About___ % increase.

kap26 [50]

Answer:

14.0% increase

Step-by-step explanation:

One formula you can use for this is ...

percent change = ((new value)/(old value) -1) × 100%

= (65/57 -1) × 100%

≈ 0.1403 × 100%

≈ 14.0% . . . . . . the positive sign indicates an increase

5 0

3 years ago