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3 years ago

14

Please help with simple probability question. Extra points & brainliest. Thanks in advance.

1 answer:

kodGreya [7K]3 years ago

3 0

The answer is B) 1/3.

There are 6 faces on a rectangular prism, each of which is a rectangle.

The area of the front and back is given by 25(8) = 200 sq. cm.
The area of the bottom and top is given by 25(4) = 100 sq. cm.
The area of the right and left is given by 4(8) = 32.

There are 2 faces out of 6 with an area that is not a multiple of 100; 2/6 = 1/3.

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Which expression is equivalent to

maksim [4K]

The answer is C . -7r^2 + 12r -8

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3 years ago

marusya05 [52]

$\large\underline{\sf{Solution-}}$

We have to find out the value of the fraction.

<u>Let us assume that:</u>

$\sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } }$

<u>We can also write it as:</u>

$\sf \longmapsto x =2 + \dfrac{1}{x}$

$\sf \longmapsto x =\dfrac{2x + 1}{x}$

$\sf \longmapsto {x}^{2} =2x + 1$

$\sf \longmapsto {x}^{2} - 2x - 1 = 0$

<u>Comparing </u>the given <u>equation</u> with <u>ax² + bx + c = 0,</u> we get:

$\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}$

<u>By quadratic formula:</u>

$\sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}$

$\sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2}$

$\sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2}$

$\sf \longmapsto x = 1 \pm\sqrt{2}$

$\sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}$

<u>But </u><u>"</u><u>x"</u><u> cannot be negative. Therefore:</u>

$\sf :\implies x = 1 + \sqrt{2}$

So, the value of the fraction is 1 + √2.

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2 years ago

Jill bought a bag that 24 starbursts in it. Then she ate 1/3 of them. What is the total number of starbursts that Jill ate?

stealth61 [152]

She ate a total of 8 starbursts

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3 years ago

Which theorem or postulate proves that △ABC and △DEF are similar?

yan [13]

Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

Step-by-step explanation:

Definition of SAS Similarity property

Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .

In △ABC and △DEF

$\frac{ED}{AB}= \frac{7}{21}$

$\frac{ED}{AB}= \frac{1}{3}$

and

$\frac{EF}{BC}= \frac{11}{33}$

$\frac{EF}{BC}= \frac{1}{3}$

Thus

$\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}$

∠ABC = ∠DEF (As given in the figure )

Thus △ABC and △DEF are similar by SAS Similarity property .

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2 years ago

Read 2 more answers

2. Using the substitution method, Jose is solving the following system of equations

Svetradugi [14.3K]

Answer:

3

Step-by-step explanation:

the answer is 3 if you check very well

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2 years ago