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3 years ago

I’m the triangle shown below what is the approximate value of x

Mathematics

1 answer:

Dafna1 [17]3 years ago

8 0

Answer:

The answer is choice B: 22.52 units.

Step-by-step explanation:

We use the Pythagoras's theorem which says for a right triangle with sides $x,y$ and hypotenuse $z$ :

$x^2+y^2=z^2.$

In our case

$z=26$

$y=13$

So we solve for $x:$

$x=\sqrt{z^2-y^2}=\sqrt{26^2-13^2} =\boxed{22.52\: units.}$

Which is choice B.

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Multiply. 1.25(−3.6) Enter your answer as a decimal in the box.

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3 years ago

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3 years ago

Customers arrive at a bank drive-up window every 6 minutes based on a Poisson distribution. Once they arrive at the teller, serv

Jet001 [13]

Answer:

(a) 0.01029 (b) 4.167 customers (c) 0.4167 hours or 25 minutes (d) 0.5 hours or 30 minutes

Step-by-step explanation:

With an arrival time of 6 minutes, λ=10 clients/hour.

With a service time of 5 minutes per transaction, μ=12 transactions/hour.

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$P(1)=10^{1}*e^{-10} /1!=0.00045\\P(3)=10^{3}*e^{-10} /3!=0,00227\\P(2)=10^{2}*e^{-10} /2!=0,00757\\P(x\leq3)=0.00045+0.00227+0.00757 = 0.01029$

(b) The average number of customers waiting at any point in time (Lq) can be calculated as

$L_{q}=p*L=\frac{\lambda}{\mu}*\frac{\lambda}{\mu-\lambda}\\L_{q}=\frac{10}{12}*\frac{10}{12-10}\\\\L_{q}=100/24=4.167$

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3 years ago

Find the area of this semi-circle with diameter, d = 49cm. Give your answer rounded to 2 DP.

lilavasa [31]

The area of a semicircle is (πr^2)/2, with r being the radius
the radius is going to be the diameter diced by two: 49/2 = 24.5
now, plug in and solve
(π24.5^2)/2 = 600.25π/2 = 300.125 π
π is roughly equivalent to 3.14, so we can multiply to simplify
area = 942.87

8 0

2 years ago