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Licemer1 [7]
3 years ago
5

A regulation soccer field has an area of 59,400 square feet. If the length is 330 feet, what is the width in feet

Mathematics
1 answer:
zvonat [6]3 years ago
8 0

To find the width of a rectangle when given the area and length, divide the area by the length:

Width = 59,400 / 330 = 180 feet

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The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that
wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \lambda e^{-\lambda x}

In which \lambda is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\lambda x}

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

P(X \leq 5) + P(X > 5) = 1

In all 3 cases, we want P(X > 5). So

P(X > 5) = 1 - P(X \leq 5)

In which

P(X \leq 5) = 1 - e^{-5\lambda}

(a) lambda=.5

P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821

(b) lambda=0.9

P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111

(c) lambda=1.1

P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959

P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041

7 0
3 years ago
The vertices of a swimming pool are E(5, 5), F(5, 20), G(35, 20), and H(35, 5). The endpoints of a line that divides the pool in
sleet_krkn [62]

Answer:

Step-by-step explanation:

Download pdf
3 0
3 years ago
Find the measure of an interior angle and exterior angle of a regular 24gon
Julli [10]

Answer:

Interior Angle: 165°

Exterior Angle: 15°

Step-by-step explanation:

So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:

sum = ( <em>n</em> - 2 ) * 180°     where '<em>n</em>' is the number of sides.

When '<em>n</em> = 24' then the sum is:

sum = ( 24 - 2 ) * 180°

Simplify and solve.

sum = 22 * 180°

sum = 3960°

Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:

<em>Interior Angle</em> = sum° / <em>n</em>   where n is the number of sides,

3960° / 24 = 165° = Interior Angle

Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:

165° + x = 180°

Solve for x.

8 0
2 years ago
What is the factored form of this polynomial?
oksian1 [2.3K]

Answer:

(x - 4)(x + 9)

Answer C is correct.

Step-by-step explanation:

{x}^{2}  + 5x - 36 \\  {x}^{2}   +  9x  - 4x - 36 \\ x(x  + 9)  -  4(x   +  9) \\  = (x  -  4)(x  + 9)

hope this helps

brainliest appreciated

good luck! have a nice day!

4 0
2 years ago
Read 2 more answers
Allana used Fraction 3 over 5 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 7 over 10 yard
Paul [167]
(1 7/10) / (3/5)
(17/10) / (3/5) =
17/10 * 5/3 =
85/30 = 
2 5/6........yes, because 1 7/10 divided by 3/5 = 2 5/6...answer C
5 0
3 years ago
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