<img src="https://tex.z-dn.net/?f=7%5Csqrt%7B3%7D%20%2B%5Csqrt%7B63" id="TexFormula1" title="7\sqrt{3} +\sqrt{63" alt="7\sqrt{3}

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AleksandrR [38]

3 years ago

+\sqrt{63" align="absmiddle" class="latex-formula"> pls show work

Mathematics

1 answer:

mezya [45]3 years ago

8 0

Answer:7√3 + 3√7

Step-by-step explanation:

7√3 + √63

=> 7√3 + √(7×9)

=> 7√3 + (√7 × √9)

=> 7√3 + 3√7

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Answer:

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$P(A) =\frac{2}{3}$

$P(B) =\frac{1}{2}$ .

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

$P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}$

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

$P(A) = \frac{4}{6} = \frac{2}{3}$

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

$P(B) = \frac{3}{6} = \frac{1}{2}$ .

Now

$P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}$

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Given f (x) = 6 (1- x), what is the value of f (-5)?

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Step-by-step explanation:

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Inequalities are used to show the relationship between unequal expressions.

The inequalities that represent the maximum weights are:

2 axles - $x \le 40000$ .
3 axles - $x \le 60000$ .
4 axles - $x \le 80000$ .

Let the maximum weight be represented with x

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The maximum weight, here is 40000.

So, the inequality is:

$x \le 40000$

(b) 3 axles

The maximum weight, here is 60000.

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(c) 4 axles

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See attachment for the graphs of each inequality