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Shalnov [3]
3 years ago
7

From the 6 male and 10 female sales representatives for an insurance​ company, a team of 3 men and 2 women will be selected to a

ttend a national conference on insurance fraud. In how many ways can the team of 5 be​ selected?
Mathematics
1 answer:
nasty-shy [4]3 years ago
3 0
We'll find the answer by multiply "6 choose 3" by "10 choose 2". Let the number of ways we can choose be w.

w = C(6, 3) * C(10, 2)
We can use this formula to solve the combinations.
C(n, r) =  \frac{n!}{r!(n-r)!}
w = 20 * 45
w = 900

So there are 900 ways to create a group of people to go to the conference.
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An airplane is flying at a height of 5 kilometers above the ground. The distance along the ground from the airplane to the airpo
Cerrena [4.2K]

\rule{70mm}{2.9pt}

\large \sf{✟ \: Problem \: ✟} :

An airplane is flying at a height of 5 kilometers above the ground. The distance along the ground from the airplane to the airport is 7 kilometers. What is the angle of depression from the airplane to the airport? (Write the answer to the nearest degree.)

\rule{70mm}{2.9pt}

\large \sf{✟ \: Solution \: ✟} :

✞ Step 1 ✞: Identify what is asked in the problem.

❒ The angle of depression from the airplane to the airport.

✞ Step 2 ✞: Use appropriate trigonometric ratio to solve the problem.

❒ Since the two legs of the right triangle are part of the problem, hence we use tangent ratio:

\qquad \qquad \bigstar \:  \: \boxed{\tt{ \quad \tan A \degree =  \frac{5}{7}  \quad}}

✞ Step 3 ✞: Solution and interpretation.

:  \qquad \large \implies \tt{ \tan A =  \frac{5}{7} }

:  \qquad \large \implies \tt{A =   \tan^{ - 1}(\frac{5}{7} )}

:  \qquad \large \implies \tt{A =  35.54 \approx \pmb{36 \degree}}

\rule{70mm}{2.9pt}

\large \sf{✟ \: Answer \: ✟} :

Hence, the angle of depression from the airplane to the airport is approximately 36°.

\rule{70mm}{2.9pt}

\large \bold{✰ \: MrHarold \: ࿐}

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Answer:

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Step-by-step explanation:

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Answer:

Radius of a circle= \sqrt[2]{17} m

Step-by-step explanation:

As we know, area of a circle=π x r^{2}

So give area= 68πm^{2}

= 68π=π x r^{2}

Simplify ( Cancel the similar signs)

= r^{2} = 68

= r = \sqrt{68}=\sqrt{4 * 17}

= r = \sqrt[2]{17} m

Hope it helps

Peace

And a brainliest would be really appreciated

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2 years ago
HELP PEASE ASAP 20 POINTS<br><br> What is 3x19x28/39x90x2/0
photoshop1234 [79]

Answer:

The answer is 0

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8 0
3 years ago
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“The height of an arrow” NEED HELP WITH THIS QUESTION ASAP!
goldenfox [79]

Answer:

a) t = 0.54 seconds

b) t = 8 seconds

Step-by-step explanation:

Given in the question the equation

h = 40t - 5t²

<em> where h is height in meters</em>

<em>             t is time in seconds</em>

<em />

Time it took to reach 20 meters

20 = 40t - 5t²

-5t² + 40t - 20 = 0

by using quadratic formula for factorisation

<h3>t = (-b± √(b)² - 4(a)(c) ) / 2(a)</h3>

t = 0.54 (upward motion)

or

t = 7.46 (downward motion)

b) Time it took to reach the ground

at ground h = 0

So,

0 = 40t - 5t²

t(40 - 5t ) = 0

t = 0 (at starting point)

or

40 -5t = 0

5t = 40

t = 40 /5

t = 8 seconds

7 0
3 years ago
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