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3 years ago

Help with two step equations with fractions......... 2/3x=6

Mathematics

2 answers:

mezya [45]3 years ago

6 0

$\frac{2}{3x}= \frac{6}{1}$ . Cross multiply and you get $2=18x$ so $x=9$ .

pashok25 [27]3 years ago

3 0

Multiply 2/3 by the reciprocal, 3/2, on both sides.

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What is the volume of the triangular prism

Viktor [21]

Answer:

18 m^3

Step-by-step explanation:

3*4/2*3 = 18 m^3

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3 years ago

Use the table of integrals, or a computer or calculator with symbolic integration capabilities, to find the indefinite integral.

nignag [31]

Answer:

$-\frac{3}{11}\ln(\cot t + \csc t)+C$

Step-by-step explanation:

We are given: $\int \frac{3}{x\sqrt{121-x^2}} dx$

We will use integration by parts.

$x = 11 \sin t\\dx = 11 \cos t \: dt$

$\int \frac{3}{x\sqrt{121-x^2}} dx=\int \frac{3* 11 \cos t \: dt}{11 \sin t\sqrt{121-121\sin^2 t}} =\int \frac{3* 11 \cos t \: dt}{11 \sin t*11\cos t}} =\\\\= \frac{3}{11} \int \csc t = -\frac{3}{11}\ln(\cot t + \csc t)+C$

4 0

4 years ago

Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (

Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

$P(\frac{T}{S}) = 0.95$

$P(\frac{T}{S^c}) = 0.05$

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

$P(S^c) = 1 - P(S)$

= 1 - 0.3

= 0.7

ii. $P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}$

$= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }$

$= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}$

= 0.8906

iii. $P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}$

$= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }$

$= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}$

= 0.0221

We simply applied the above formulas so that the each part could come

8 0

3 years ago

A triangle cannot have three acute angles <br><br>true or false

Alecsey [184]

Hi pupil here's your answer ::

____________________________

✴A triangle cannot have three acute angles

✔This statement is absolutely true.

____________________________

hope that it helps. . . . .

7 0

3 years ago

Read 2 more answers

The price of a stock went up by $1.20 on Monday, down by $2.30 on Tuesday, down by $1.00 on Wednesday, down by 1.80 on Thursday,

alukav5142 [94]

Answer:

The mean change of the stock price of those 5 days is $1.34.

Step-by-step explanation:

First let's list the differences then find the mean.

1.20, 2.30, 1.00, 1.80, 0.40

Now we add up all of the numbers and divide by how many numbers there are.

Mean = 1.34

The mean change of the stock price of those 5 days is $1.34.

8 0

3 years ago