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swat32
3 years ago
5

Probability allows one to measure effectively the risks in selecting one alternative over the others.

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0
The answer to your question is “false”
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The height h in feet of a ball thrown vertically upward from the top of a 288-foot tall building is given by h=288+48t-16t^2 whe
mr Goodwill [35]

6 sec can take penny to strike the ground.

Solution:

Given data:

H_0=288 feet

V_0=48 feet

h(t)=288+48t-16t^2

Re-arrange the terms from greatest degree to smallest degree.

h(t)=-16t^2+48t+288

We can solve it by applying quadratic formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Here a = –16, b = 48, c = 288

$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}

$t=\frac{-48\pm \sqrt{2304+18432}}{-32}

$t=\frac{-48\pm \sqrt{20736}}{-32}

$t=\frac{-48\pm144}{-32}

Now, write find two t's using plus and minus operation.

$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}

$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}

t = –3 (or)   t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

8 0
3 years ago
What is the completely simplified equivalent of 2/(5+i)?
Bezzdna [24]

namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.

so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.

\bf \cfrac{2}{5+i}\cdot \cfrac{5-i}{5-i}\implies \cfrac{2(5-i)}{\stackrel{\textit{difference of squares}}{(5+i)(5-i)}}\implies \cfrac{2(5-i)}{\stackrel{\textit{recall }i^2=-1}{5^2-i^2}}\implies \cfrac{2(5-i)}{25-(-1)} \\\\\\ \cfrac{2(5-i)}{25+1}\implies \cfrac{2(5-i)}{26}\implies \cfrac{5-i}{13}

4 0
3 years ago
 A school is planning a field trip to a theme park. A ticket to the park costs ​$21. For a group of 50 or​ more, there is a 12​%
klasskru [66]

With a 12% discount, 18.48 is the price per ticket (2.52 per ticket saved). In order to determine the amount of tickets, we divide the saved amount by the amount saved per ticket.

819/2.52 is 325.

There were 325 tickets purchsed.

4 0
3 years ago
Based on the graph, which inequality is correct for a number that is to the right of -4
Anon25 [30]

2 > -4

2 is greater than -4

3 0
3 years ago
Suppose a triangle has two sides of length 33 and 37, and that the angle
marysya [2.9K]

Answer:

c^2=33^2+37^2-2(33)(37)cos120(i don't know for sure tho)

Step-by-step explanation:

LAW OF COSINES

6 0
3 years ago
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