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Cloud [144]
3 years ago
13

Liz flips a coin 30 times. The coin lands heads up 21 times and tails up 9 times. Complete each

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Answer:

Pr = 0.50

Step-by-step explanation:

Given

n = 30

H = 21

T = 9

See attachment for complete question

Required

P(H)

The question requires that we calculate the theoretical probability of landing on the head.

This means that, we have to ignore the given data, and we use the following

S =\{H,T\} --- sample space

n(S) = 2 --- sample size

n(H) = 1 --- occurrence of Head

So, the theoretical probability is:

Pr = n(H)/n(S)

Pr = 1/2

Pr = 0.50

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a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s
shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman  = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0
1 year ago
Please!!! I NEED help with this!!!! it's due in an hour and I have no idea how to do it!!!
sergejj [24]

Answer:

Well you can try to use a calculator, like the one on google. I can try to help if you really need it.

Step-by-step explanation:


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