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sattari [20]
3 years ago
11

What is the distance AB rounded to the nearest tenth?

Mathematics
2 answers:
MariettaO [177]3 years ago
7 0

Answer:

2.80

Step-by-step explanation:

Seeing that your scale is 1cm to 1unit to on both axes

If you add a point C then draw lines connecting them it should look like the diagram above

But the distance between A to C and B to C are both 2 cm

Giving you a right angled triangle

So using the Pythagoras theorem

AB²=AC²+BC²

AB²=2²+2²

AB²=4+4

AB²=8

Take square root of both sides

√AB²=√8

AB= 2.828

To the nearest tenth that will be

AB=2.80

hammer [34]3 years ago
5 0
The answer is 2.8284271247462 but you can round it yourself
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A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated.Petey is consideri
malfutka [58]
You question is of two parts.
For the first part:
<span>A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated.

\begin{center}&#10;\begin{tabular}&#10;{|c|c|c|c|c|}&#10; & Cats & Dogs & Other & Total \\ [1ex]&#10;Male & 42 & 58 & 6 & 106 \\&#10;Female & 52 & 48 & 2 & 102 \\ [1ex]&#10;Total & 94 & 106 & 8 & 208&#10;\end{tabular}&#10;\end{center}

</span>Let event A be defined as randomly choosing someone who picked cats or dogs as their favorite pet. Let event B be defined as a randomly chosen person being male.
Find P(B| NOT A).

P(A) = P(choosing cat) + P(choosing dog) = \frac{94}{208} + \frac{106}{208} = \frac{200}{208} = \frac{25}{26}
P(NOT A) = 1- \frac{25}{26} = \frac{1}{26}
P(B and NOT A) = P(males that did not choose cat or dog) = \frac{6}{208} = \frac{3}{104}

P(B | NOT A) = \frac{P(B \, and \, NOT \, A)}{P(NOT \, A)} = \frac{ \frac{3}{104} }{ \frac{1}{26} } =\frac{3}{104}\times26= \frac{3}{4}


For the second part of the question.
<span>Petey is considering investing $19 in a certain company. Financial advisors forecast that there is a 30% chance that the stock will increase in value by 10%, and a 70% chance he will lose his initial investment. Determine if Petey should make the investment, and find the expected value of the investment.

If his investment increases by 10%, the value of the investment will be 1.1 x $19 = $20.90 with a probability of 30% or 0.3

The expected value of the investment is given by
\$20.90\times0.3+(-\$19\times0.7)=\$6.27-\$13.30=-\$7.03

Therefore, Petey should not make the investment as there is an expectation of a loss from the investment.
</span>
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3 years ago
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