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Anusha S.

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Question:

At a primate reserve, the mean age of all the male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age m of the combined group of male and female primates at the primate reserve? A. m = 17 B. m > 17 C. m < 17 D. 15 < m < 19

Anusha S.

Answer:

D. 15 < m < 19 This is because the mean of the males is lower than that of the females which means the combined mean cannot be greater than or equal to that of the females. This also means that because the mean of the females is greater than that of the males, the combined mean cannot be less than or equal to the mean of the males. Therefore, the combined mean must be between the two separate means. Why aren't the other choices incorrect? A: This results from finding the mean of the two means. This answer makes an unjustified assumption that there are an equal number of male and female primates. B: This results from finding the mean of the two means and incorrectly applying an inequality to the scenario. This answer makes an unjustified assumption that there are more females than males. C: This results from finding the mean of the two means and incorrectly applying an inequality to the scenario. This answer makes an unjustified assumption that there are more males than females.

Health and Medicine

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Question:

Treatments for Alzheimer's disease mostly focus on increasing the levels of whihc neurotransmitter?

Anusha S.

Answer:

Acetylcholine Acetylcholine is a type of neurotransmitter that is involved with the contraction of skeletal muscles, activation of glandular functions, and processes of the endocrine system.

Algebra

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Question:

Given the points (3,5) and (2,3), what is the equation of the resulting line?

Anusha S.

Answer:

Step 1: Find the slope. This can be done by first recognizing that we are given two points, and we must calculate the rise over run. The rise is equal to the difference between the first Y value in the first point and the second Y value in the second point. Then we must find the run which is the difference between the first X value of the first point and the second X value int he second point. Finally we divide the rise value over the run value to get: Slope: Rise ---> (5-3) = 2 Run ---> (3-2) = 1 Rise/Run = 2/1 = 2 Step 2: Find the y-intercept. This can be done by first recognizing that with the equation of a line being f(x) = y =mx +b, we already found m, the slope and that we have a sample point to correspond to the x and y values. This means that if we solve for b, the y-intercept, we will have all the components to make the equation for the resulting line. Solving y = mx +b for b gives us: b = y -mx Plugging in sample point (2,3) and calculated slope value gives us: b = 3 - (2)(2) b = 3 - 4 = -1 Step 3: Make the equation of the line. This can be done by recognizing that now that we have the slope and y-intercept we can replace them for m and b respectively to obtain the equation of the line. m = 2 b = -1 y = mx + b y = 2x - 1 or f(x) = 2x - 1 Answer: f(x) = 2x - 1

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