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3 years ago

Find the distance between the two points in simplest radical form. (8,−8) and (−1,−5)

Mathematics

1 answer:

enyata [817]3 years ago

4 0

Answer:

Solution given:

$x_{1},y_{1}=(8,-8)$

$x_{2},y_{2}=(-1,-5)$

Now

Distance between them is:

d= $\sqrt{(x_{2}-x_{1})²+(y_{2}-y_{1})²}$

d= $\sqrt{(-1-8)²+(-5+8)²}=3\sqrt{10}$

Distance between them is  $\bold{3\sqrt{10}}$

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Find the probability that the person is frequently or occasionally involved in charity work.

Schach [20]

Given the table below which shows the result of a survey that asked 2,881 people whether they are involved in any type of charity work.

$\begin{tabular}
{|c|c|c|c|c|c|}
 &Frequently&Occassionally&Not at all&Total\\[1ex]
Male&227&454&798&1,479\\
Female &205&450&747&1,402\\
Total&432&904&1,545&2,881
\end{tabular}$

Part A:

If a person is chosen at random, the probability that the person is frequently or occassinally involved in charity work is given by

$P(being \ frequently \ involved \ or \ being \ occassionally \ involved)\\ \\= \frac{432}{2881} + \frac{904}{2881} = \frac{1336}{2881}=\bold{0.464}$

Part B:

If a person is chosen at random, the probability that the person is female or not involved in charity work at all is given by

$P(being
 \ female \ or \ not \ being \ involved)\\ \\= 
\frac{1402}{2881} + \frac{1545}{2881}-\frac{747}{2881} = 
\frac{2200}{2881}=\bold{0.764}$

Part C:

If a person is chosen at random, the probability that the person is male or frequently involved in charity work is given by

$P(being
 \ male \ or \ being \ frequently \ involved)\\ \\= 
\frac{1479}{2881} + \frac{432}{2881}-\frac{227}{2881} = 
\frac{1684}{2881}=\bold{0.585}$

Part D:

If a person is chosen at random, the probability that the person is female or not frequently involved in charity work is given by

$P(being
 \ female \ or \ not \ being \ frequently \ involved)\\ \\= 
\frac{1402}{2881} + \frac{904}{2881} + \frac{1545}{2881}-\frac{450}{2881}-\frac{747}{2881} = 
\frac{2654}{2881}=\bold{0.921}$

Part E:

The events "being female" and "being frequently involved in charity work" are not mutually exclusive because being a female does not prevent a person from being frequently involved in charity work.

Indeed from the table, there are 205 females who are frequently involved in charity work.

Therefore, the answer to the question is "No, because 205 females are frequently involved charity work".

4 0

3 years ago

ILL GIVE YOU BRAINLIST * have to get it right * Which point best represents 15 ?

Svet_ta [14]

Answer: B

Step-by-step explanation:

6 0

3 years ago

The length of a rectangle is 3ft more than twice the width, and the area of the rectangle is 54ft^2. Find the dimensions of the

777dan777 [17]

Answer: Let length = 2x + 3

Let width = x

Area = 54 ft2

length × width = Area

x(2x + 3) = 54

2x2 + 3x = 54

2x2 + 3x - 54 = 0

(2x - 9)(x + 6) = 0

x = 9/2 and x = -6

x = 4.5 and x = -6

We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:

width = 4.5 ft

length = 2(4.5) + 3 = 9 + 3 = 12 ft

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Help test plsss I will give the first person brainlest

Ket [755]

Answer: 306.9

Step-by-step explanation: 3.1 x 11 = 34.1 x 9 = 306.9

5 0

3 years ago

Read 2 more answers

The Ambell Company uses batteries from two different manufacturers. Historically, 70% of the batteries are from manufacturer 1,

Sunny_sXe [5.5K]

Answer:

0.625

Step-by-step explanation:

Given :

Ambell company uses or procures batteries from two manufacturers.

The life of a battery in critical tool is at = 32 hours

Ambell uses 70% of its batteries from manufacturer 1 and out of that 90% batteries lasts for about 40 hours.

Similarly, 75% of the batteries procured from the manufacturer 2 lasts for about 40 hours.

Therefore, the probability that a battery is form manufacturer 1 is :

$\frac{0.4 \times 0.25}{(0.6 \times0.1)+(0.4 \times 0.25)}$

= 0.625

5 0

3 years ago