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Goshia [24]
3 years ago
5

A normal distribution curve, where x = 70 and σ = 15, was created by a teacher using her students’ grades. What information abou

t their performances can be obtained by analyzing the curve?
Mathematics
2 answers:
quester [9]3 years ago
5 0
The curve is a normal distribution curve where x = 70 and <span>σ = 15. The variable x is the mean of the students' grades which is equal to 70. The standard deviation is 15, the actual mean is 70+-15. A normally distributed curve means that most of the students got mostly 75. </span>
alexira [117]3 years ago
4 0

The <em><u>correct answer</u></em> is:

We can conclude that 68% of the scores were between 55 and 85; 95% of the scores were between 40 and 100; and 99.7% of the scores were between 25 and 100.

Explanation:

The empirical rule tells us that in a normal curve, 68% of data lie within 1 standard deviation of the mean; 95% of data lie within 2 standard deviations of the mean; and 99.7% of data lie within 3 standard deviations of the mean.

The mean is 70 and the standard deviation is 15. This means 1 standard deviation below the mean is 70-15 = 55 and one standard deviation above the mean is 70+15 = 85. 68% of data will fall between these two scores.

2 standard deviations below the mean is 70-15(2) = 40 and two standard deviations above the mean is 70+15(2) = 100. 95% of data will fall between these two scores.

3 standard deviations below the mean is 70-15(3) = 25 and three standard deviations above the mean is 70+15(3) = 115. However, a student cannot score above 100%; this means 99.7% of data fall between 25 and 100.

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Find the inverse of the function.<br> f-^1(x)= (x – 5)^3 + 1
Cloud [144]

Answer:

Step-by-step explanation:

To find the inverse of function y=f(x), swap variables and then solve for the original variable.

y=(x-5)^3+1\\ \\ x=(y-5)^3+1\\ \\ x-1=(y-5)^3\\ \\ \sqrt[3]{x-1}=y-5\\ \\ y=\sqrt[3]{x-1}+5\\ \\ f^{-1}(x)=\sqrt[3]{x-1}+5

3 0
3 years ago
The expression can be used to predict the height of a plant in days. Where is the rate in centimeters that that plant grows per
Allisa [31]

Answer:

37.5 cm

Step-by-step explanation:

x = days

f(x) = 1.5x + 30

f(5) = 1.5(5) + 30

f(5) = 7.5 + 30

f(5) = 37.5

5 0
3 years ago
Please help me I'm desperate!
lianna [129]
Ok, this definition of f is just a bunch of points (4 to be exact).

so if point (a,b) is part of f, then f(a)=b

f(1) is about point (1,0), so f(1)=0.
g(1) = 1 (due to point (1,1))
g(2/3) = 0
f(2) = 3/4
g(-2) = 3
f(π) = -2

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3 0
3 years ago
Dave is meeting his friends at 7:30 P.M. The average speed of the bus is 28 km/h, and he needs to travel 20 km. When should he c
Gwar [14]
20 / 28 = 0,7
0,7 * 60 = 42 

Dave should catch the bus at 6:48 PM.
7 0
3 years ago
Find the difference between the mean and the median of 10.2, 10.6, 11.9, 9.9, 10.6
MaRussiya [10]

Let's sort the data

9.9, 10.2, 10.6, 10.6, 11.9

The median is clearly 10.6, the middle value. The sum is 53.2 so the mean is 53.2/5 = 106.4/10 = 10.64

mean - median = 10.64 - 10.6 = 0.04

Answer: 0.04



4 0
3 years ago
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