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kow [346]
3 years ago
12

20. Entry to the fair is $10, and then you can

Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Answer:

they purchased 40 tickets

Step-by-step explanation:

they already spent 10 to get in the fair and 0.25 × 40 = 10 so 10 +10 =20

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algol [13]

Answer:

(1/3 - 5/6) / 5/6

You want to make 1/3 and 5/6 have the same denominator so you multiply both the numerator and denominator of 1/3 by 2 to get 2/6. You plug that back into your equation to get: (2/6 - 5/6) / 5/6. 2/6 - 5/6 is -3/6. -3/6 divided by 5/6 is -3/6 multiplied by 6/5 which is -3/5. 

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Which of the following statements demonstrates the associative property of multiplication?
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4 years ago
Timber beams are widely used in home construction. When the load​ (measured in​ pounds) per unit length has a constant value ove
Delicious77 [7]

Answer:

a) 0.4

b) 0.133

c) L \geq 99  

Step-by-step explanation:

We are given the following information in the question:

The load is said to be uniformly distributed over that part of the beam  between 90 and 105 pounds per linear foot.

a = 90 and b = 105

Thus, the probability distribution function is given by

f(x) = \displaystyle\frac{1}{b-a} = \frac{1}{105-90} = \frac{1}{15},\\\\90 \leq x \leq 105

a) P( beam load exceeds 99 pounds per linear​ foot)

P( x > 99)

=\displaystyle\int_{99}^{105} f(x) dx\\\\=\displaystyle\int_{99}^{105} \frac{1}{15} dx\\\\=\frac{1}{15}[x]_{99}^{105} = \frac{1}{15}(105-99) = 0.4

b) P( beam load less than 92 pounds per linear​ foot)

P( x < 92)

=\displaystyle\int_{90}^{92} f(x) dx\\\\=\displaystyle\int_{90}^{92} \frac{1}{15} dx\\\\=\frac{1}{15}[x]_{90}^{92} = \frac{1}{15}(92-90) = 0.133

c) We have to find L such that

\displaystyle\int_{L}^{105} f(x) dx\\\\=\displaystyle\int_{L}^{105} \frac{1}{15} dx\\\\=\frac{1}{15}[x]_{L}^{105} = \frac{1}{15}(105-L) = 0.4\\\\\Rightarrow L = 99

The beam load should be greater than or equal to 99 such that the probability that the beam load exceeds L is 0.4.

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4 years ago
Please someone help me with this! Math
Helga [31]

Answer:

4,1

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Help asap! I need to solve this for my quiz and have no clue what it is
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Step-by-step explanation:

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