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attashe74 [19]
2 years ago
8

Ms. Valenzuela had her students design a snake house for the zoo. In the de3sign shown, the anaconda has 538 more square feet th

an the python. The python has twice as many square feet as the rattlesnake. How much area does each snake have?
Mathematics
1 answer:
almond37 [142]2 years ago
3 0

Answer:

If the python has the area x sq. ft, they all have the area \dfrac{5x}{2}+538\ sq. ft.

Step-by-step explanation:

Let x sq. ft be the area the python has.

1. If the anaconda has 538 more square feet than the python, then the anaconda has (x+538) sq. ft.

2. If the python has twice as many square feet as the rattlesnake, then the rattlesnake has the area  \dfrac{x}{2}\ sq. ft.

In total they have the area  

x+(x+538)+\dfrac{x}{2}=\dfrac{5x}{2}+538\ sq. ft.

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Answer:

Compute the cost of driving for two different job options.

Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.

Job 1

Miles each way 5

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Job 2

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What is the cost of driving?

4 0
1 year ago
In 1898 L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collected over 20 years to show that
attashe74 [19]

Answer:

(a) The probability of more than one death in a corps in a year is 0.1252.

(b) The probability of no deaths in a corps over 7 years is 0.0130.

Step-by-step explanation:

Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.

The random variable X\sim Poisson(\lambda = 0.62).

The probability function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...

(a)

Compute the probability of more than one death in a corps in a year as follows:

P (X > 1) = 1 - P (X ≤ 1)

             = 1 - P (X = 0) - P (X = 1)

             =1-\frac{e^{-0.62}(0.62)^{0}}{0!}-\frac{e^{-0.62}(0.62)^{1}}{1!}\\=1-0.54335-0.33144\\=0.12521\\\approx0.1252

Thus, the probability of more than one death in a corps in a year is 0.1252.

(b)

The average deaths over 7 year period is: \lambda=7\times0.62=4.34

Compute the probability of no deaths in a corps over 7 years as follows:

P(X=0)=\frac{e^{-4.34}(4.34)^{0}}{0!}=0.01304\approx0.0130

Thus, the probability of no deaths in a corps over 7 years is 0.0130.

6 0
1 year ago
One option in a roulette game is to bet $2 on red. ​ (There are 18 red​ compartments, 18 black​ compartments, and two compartmen
aleksandrvk [35]
It cost $46.000 for the red.

4 0
2 years ago
Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost
dangina [55]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x------> the number of times Emma mows the lawn

y------> the number of hours Emma babysits

we know that

6x+8y\geq 48 ------> inequality that represent the situation

The solution is the shade area above the solid line between the values of x and y positive

The equation of the solid line is equal to 6x+8y=48

The slope of the line is negative m=-\frac{3}{4}

The y-intercept of the line is the point (0,6) (value of y when the value of x is equal to zero)

The x-intercept of the line is the point (8,0) (value of x when the value of y is equal to zero)

so

The graph in the attached figure

6 0
2 years ago
Read 2 more answers
An electrician charges an hourly rate of $50, but also charges a fixed fee for making house calls regardless of time spend on th
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Answer:

C=50t+150

Step-by-step explanation:

From the information given, the equation will need to show that the total cost of the electrician services would be equal to 50 that is the hourly rate for the number of hours spent working plus the fixed fee:

Fixed fee=250-(50*2)=250-100=150

According to this, the equation would be:

C=50t+150, where C is the total cost of the electrician's services and t is the number of hours spent working.

8 0
1 year ago
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