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3 years ago

URGENTTT! CAN SOMEONE PLEASE HELP?

Mathematics

1 answer:

miskamm [114]3 years ago

8 0

Answer:

Hey there!

We have tangent 29=h/400

Thus, tangent 29 times 400=h

h=221.7 feet.

The height of the kite is 221.7 feet.

Hope this helps :)

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3 years ago

What makes 2.4=6x true?

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2 years ago

Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.

borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this question:

$n = 14, p = 0.8$

P(x>10)

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501$

$P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501$

$P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539$

$P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440$

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981$

So P(x > 10) = 0.6981.

8 0

3 years ago

A hydraulic engineer is studying the pressure in a particular fluid. The pressure is equal to the atmospheric pressure 101 kN/m

miskamm [114]

Answer:

Step-by-step explanation:

The pressure is equal to the atmospheric pressure 101 kN/m plus 8 kN/m for every meter below the surface, therefore;

a. expression for pressure is given by,

$Pressure = 101 + 8d$ ............................... (1)

where d = depth below the surface in meter.

b. to find the depth at any pressure, equation (1) above is rearranged to make depth (d) subject of the formula

$d = \frac{Pressure - 101}{8}$

as an example, to find depth at pressure of 200N/m

d = (200 - 101)/8 = 12.375 meters

depth is 12.375 meters below the surface.

6 0

3 years ago