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Arte-miy333 [17]
3 years ago
15

Solve the question below, please.

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

Adam: 52.26°

Step-by-step explanation:

Use Cosine Rule, Cos(C) = \frac{a^2 + b^2 - c^2}{2ab}, to find the angle of both players.

✔️Angle of Carlos:

Let the angle be C,

a = 50 ft

b = 40 ft

c = 24 ft

Plug in the values into the equation

Cos(C) = \frac{50^2 + 40^2 - 24^2}{2*50*40}

Cos(C) = \frac{3,524}{4,000}

C = Cos^{-1}(\frac{3,524}{4,000})

C = 28.24° (nearest hundredth)

✔️Angle of Adam:

Let the angle be C,

a = 30 ft

b = 22 ft

c = 24 ft

Plug in the values into the equation

Cos(C) = \frac{30^2 + 22^2 - 24^2}{2*30*22}

Cos(C) = \frac{808}{1,320}

C = Cos^{-1}(\frac{808}{1,320)}

C = 52.26° (nearest hundredth)

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Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c
GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(c) The value of P (X < 30) is 0.9502.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0

The value of E (X) is 10.

The parameter λ is:

\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10

(a)

Compute the value of P (X > 10) as follows:

P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353

Thus, the value of P (X > 20) is 0.1353.

(c)

Compute the value of P (X < 30) as follows:

P(X

Thus, the value of P (X < 30) is 0.9502.

(d)

It is given that, P (X < x) = 0.95.

Compute the value of <em>x</em> as follows:

P(X

Take natural log on both sides.

ln(e^{-0.10x})=ln(0.05)\\-0.10x=-2.996\\x=\frac{2.996}{0.10}\\ =29.96\\\approx30

Thus, the value of x is 30.

7 0
3 years ago
Someone plz help me I will give brainliest
Brut [27]

Answer:

$33.81

Step-by-step explanation:

Strawberries = $2.49 Per Pound (Bought 3)

Blueberries = $3.19 Per Pound (Bought 2)

Pineapples = $4.99 Per Pound (Bought 4)

So we have to multiply each price with the number of fruits bought.

So, For Example, Strawberries: <em>$</em><em>2</em><em>.</em><em>4</em><em>9</em><em> </em><em>×</em><em> </em><em>3</em><em> </em><em>=</em><em> </em><em>$</em><em>7</em><em>.</em><em>4</em><em>7</em>

After you did all three individually, add them all up.

Strawberries : <em>$</em><em>7</em><em>.</em><em>4</em><em>7</em>

Blueberries : <em>$</em><em>6</em><em>.</em><em>3</em><em>8</em>

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<em>Total</em><em> </em><em>=</em><em> </em><em>$</em><em>3</em><em>3</em><em>.</em><em>8</em><em>1</em>

<h2><em>Hope</em><em> </em><em>This</em><em> </em><em>Helps</em><em>!</em></h2>
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Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve
Eddi Din [679]
He needs 420 to buy a new smartphone and accessories.

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420+75= 495
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3 years ago
Jason is buying a home theater system on layaway for $349. If he makes a down payment of $25 and pays $54 each week will it take
Gekata [30.6K]
Hey! 
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Next, you would divide 324 by 54. (324÷54=6)
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sattari [20]
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3 years ago
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