All categories

3 years ago

Use the symbols above to write the following ratios.

Mathematics

1 answer:

AnnyKZ [126]3 years ago

4 0

Hi how are you that’s a really hard question

You might be interested in

What is the area of a semicircle whose perimeter is 72cm

Nuetrik [128]

Answer:

A = 307.9 sq/cm

Step-by-step explanation:

Find the radius of the semi-circle

diameter + half the circumference = 72 cm

2r + pi*r = 72

r(2+pi) = 72

r = 72%2F%28%282%2Bpi%29%29

r = 14

what will be the area of that semicircle?

A =1%2F2*pi%2A14%5E2

A = 307.9 sq/cm

7 0

3 years ago

At a specific point on a highway, vehicles arrive according to a Poisson process. Vehicles are counted in 12 second intervals, a

morpeh [17]

Answer: a) 4.6798, and b) 19.8%.

Step-by-step explanation:

Since we have given that

P(n) = $\dfrac{15}{120}=0.125$

As we know the poisson process, we get that

$P(n)=\dfrac{(\lambda t)^n\times e^{-\lambda t}}{n!}\\\\P(n=0)=0.125=\dfrac{(\lambda \times 14)^0\times e^{-14\lambda}}{0!}\\\\0.125=e^{-14\lambda}\\\\\ln 0.125=-14\lambda\\\\-2.079=-14\lambda\\\\\lambda=\dfrac{2.079}{14}\\\\0.1485=\lambda$

So, for exactly one car would be

P(n=1) is given by

$=\dfrac{(0.1485\times 14)^1\times e^{-0.1485\times 14}}{1!}\\\\=0.2599$

Hence, our required probability is 0.2599.

a. Approximate the number of these intervals in which exactly one car arrives

Number of these intervals in which exactly one car arrives is given by

$0.2599\times 18=4.6798$

We will find the traffic flow q such that

$P(0)=e^{\frac{-qt}{3600}}\\\\0.125=e^{\frac{-18q}{3600}}\\\\0.125=e^{-0.005q}\\\\\ln 0.125=-0.005q\\\\-2.079=-0.005q\\\\q=\dfrac{-2.079}{-0.005}=415.88\ veh/hr$

b. Estimate the percentage of time headways that will be 14 seconds or greater.

so, it becomes,

$P(h\geq 14)=e^{\frac{-qt}{3600}}\\\\P(h\geq 14)=e^{\frac{-415.88\times 14}{3600}}\\\\P(h\geq 14)=0.198\\\\P(h\geq 14)=19.8\%$

Hence, a) 4.6798, and b) 19.8%.

7 0

3 years ago

What is 40% equivalent to?

olga_2 [115]

Answer:0.4

Step-by-step explanation:

3 0

3 years ago

Ummm sooo I’m really confused and it’s due tomorrow please help me

MaRussiya [10]

Answer:

Step-by-step explanation:

If the triangles are similar, it means the ratio between the two give sides is the same. As seen from the smaller triangle the ratio of the two top sides would be 16:50 or 8:25.

Since the first side of the bigger triangle (24) is three times 8 (it's ratio side), then the other side must be 3x25 = 75, which maintains the ratio 8:25 between the two sides (24:75).

Hope this helped!

4 0

3 years ago

Determine the volume of the shaded region.

vovangra [49]

The volume of the shaded region is 1650 cubic feet.

5 0

3 years ago