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Bad White [126]
3 years ago
8

Anyone wanna help me out

Mathematics
2 answers:
Sholpan [36]3 years ago
5 0

Answer:

58.91m^2

Step-by-step explanation:

(smaller triangle below)

A=\frac{ab}{2}\\ =\frac{8.6*5.5}{2}\\ =23.65m^2\\\\A=\frac{ab}{2}\\ =\frac{8.6*8.2}{2} \\=35.26m^2

(bigger triangle above)

Since you have both triangle, and all lengths you dont need to worry about calculating the square

Add both together

23.65+35.26\\=58.91m^2

fredd [130]3 years ago
5 0

Answer:

There’s 2 triangles and 1 rectangle

The formula for the area of a triangle is 1/2 x base x height

The area of the triangle on the left is:

1/2 x 5.5 m x 8.6 m = 23.65 m^2

The area of the triangle on the right is:

1/2 x 8.2 m x 8.6 m = 35.26 m^2

The formula for the area of the rectangle is length x width.

The area of the rectangle is:

8.6 m x 7.6 m = 65.36 m^2

The area of the entire figure = sum of all the areas in the figure

23.65 m^2 + 35.26 m^2 + 65.36 m^2 = 124.27 m^2

Hope this helps! :)

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An airline experiences a no-show rate of 6%. What is the maximum number of reservations that it could accept for a flight with a
sasho [114]

Answer:

Step-by-step explanation:

Use the normal approximation to the binomial distribution

mean µ = np

standard deviation σ = √npq

Where,

n is sample size

p is probability of success.

q is probability of failure

Given that

q = 6% =0.06

Then, p = 1-q = 1-0.06 = 0.94

Therefore:

µ = pn

µ = 0.94n

Also

σ = √npq

σ = √(n)(0.94)(0.06)

σ = √(.0564n)

Using z-scores:

z = (x — µ )/σ

Using the data above

1.645 = (160 — 0.94n)/√(0.0564n)

Cross multiply

1.645√0.0564n = 160—0.94n

Square both sides

1.645²× 0.0564n = (160-0.94n)

0.153n=25600— 300.8n + 0.8836n²

0.8836n²-300.8n-0.153n +25600=0

0.8836n² — 300.953n + 25600 = 0

Using quadratic formula method.

a = 0.8836 b = -300.953 c = 25600

n = [-b±√(b²-4ac)]/2a

n = [--300.953±√((-300.953)²-4×0.8836×25600)] / (2 × 0.8836)

n = [300.953±√(92.07)]/1.7672

n = (300.953±9.6)/1.762

n = (300.953-9.6)/1.762

n = 168.22

Or

n = (300953+9.6)/1.762

n = 176.25

The maximum number of reservation is approximately 168.

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