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Sergeeva-Olga [200]
3 years ago
5

A city council consists of six democrats and seven republicans. if a committee of five people is​ selected, find the probability

of selecting three democrats and two republicans.
Mathematics
1 answer:
mars1129 [50]3 years ago
4 0
Given that a city council consists of six democrats and seven republicans, the probability of selecting three democrats and two republicans if a committee of five people is to be selected is given by

\frac{ ^6C_3\times ^7C_2}{ ^{13}C_5} = \frac{20\times21}{1,287}  \\  \\ = \frac{420}{1,287} =0.3263
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lesya [120]

Answer:42, 3, 2, 15

Step-by-step explanation:

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THIS IS A K12 QUESTION WILL GIVE BRAINLIEST NEED ANSWER NOW!!!! For which distributions is the median the best measure of the ce
vampirchik [111]

Answer:

B

Step-by-step explanation:

A, C, and D can be a possibility but they are not exactly at the middle. B is the only one that shows a slightly triangular shape, which you can see the middle that shows the best measure of the center.

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Determine whether $10.62/61lb = $7.05/4lb form a proportion. Explain.
dimaraw [331]
$10.62 / 61lb =$7.05 / 4 lb
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3 years ago
Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"
Levart [38]

Answer:

\huge\boxed{f(-1) = -7}

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

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<u><em>WAIT</em></u><em>!</em><em> How is this possible? </em>-1^4 = -1 (according to my calculator), and 3 \cdot -1 = -3, not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use -2^2 as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than  being <em>"-2 squared"</em> - it's <em>"the negative of of 2 squared."</em>

Tying this back into our problem, the squared method would only be true if it looks like -1^4. However, since we're substituting in -1, it looks like (-1)^4, so the expression reads out as "<u><em>-1 to the fourth.</em></u>"

MULTIPLYING -1 by itself 4 times results in -1\cdot-1\cdot-1\cdot-1=1.

Applying this logic to our original term, 3(-1)^4:

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Therefore, our first term is 3.

Let's move on to our second and third terms.

Second term: -5x^2

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Applying the same logic from our first term:

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Combining our terms, we have 3-5-2-3.

This comes out to be -7, hence, the value of f(-1) for our function f(x)=3x^4-5x^2+2x-3 is <u>-7</u>.

Hope this helped!

4 0
3 years ago
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Sonja [21]

Answer:

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Step-by-step explanation:

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time = Distance/speed

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2/5 = 0.4

Time = 0.4x/45 hours

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the remaining distance = 100× 1.2 = 120km

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the remaining distance was X - 0.6x = 0.4 X

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replace X to get time

2.7 hours + 0.7 hours + 1.2 hours

= 4.6 hours

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1 year ago
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