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Veronika [31]
3 years ago
5

A biologist is comparing the growth of a population of flies per week to the number of flies a bullfrog will consume per week. S

he has devised an equation to solve for which day (x) the bullfrog would be able to eat the entire population. The equation is 2x = 3x − 1. Explain to the biologist how she can solve this on a graph using a system of equations.Please Explain
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Realize that since 2x and 3x - 1 are equal to each other, they are also equal to y. This means that we can craft two equations, y = 2x and y = 3x - 1.


When you want to solve a systems of equations via a graph, you need to plot both equations on a graph and determine the x- and y-value of where the lines intersect. In this case, we would plot both y = 2x and y = 3x - 1. These lines intersect at the point (1, 2).


Since we are trying to find the day the bullfrog will be able to eat the entire population, or x, we are going to use the x-value of our point as our answer. Thus, our answer is 1 day.

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3 years ago
Don,Eric, and Finn line up in random order for the cafeteria line. What is the probability that they will line up from front to
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Answer:

  1/6

Step-by-step explanation:

The number of ways they can line up is 3×2×1 = 6. Only one of these is alphabetical order. The probability that they will line up randomly in alphabetical order is 1/6.

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Any of the three can line up first; either of the remaining two can line up second, and the remaining person can line up last. Thus there are 3×2×1 possible orders.

5 0
3 years ago
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3 years ago
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EBook
77julia77 [94]

Answer:

Probability =0.9898

Step-by-step explanation:

Given that, mean = 4 = 300 standard deviation = 70 n = 100 PT = H = 128 oT = 0 / V n = 70/ v 100 = 7 a) within 6 = 300 ±6 = 294, 306 P(294< ī < 306) = P[(294 - 300) 7 < (ĩ -H ï) / o ĩ < (306 300) /7)] = P(-0.86 < Z < 0.86) = P(Z < 0.86) - P(Z < -0.86) Using z table, 0.8051 - 0.1949 %3D %3D %3D = 0.6102 Probability = 0.6102 a) within 18 = 300 t 18 = 294, 318 P(294< ī < 306) = P[(282 - 300) / 7< (ã -H i) / oī< (318 - 300) /7)] = P(-2.57 < Z< 2.57) = P(Z < 2.57) - P(Z < -2.57) Using z table, =0.9949 - 0.0051 =0.9898 Probability =0.9898

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3 years ago
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Juan won and has a score of 8.5, the difference between there score is 3.5.
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