Consider a set of 7500 scores on a national test whose score is known to be distributed normally with a mean of 510 and a standard deviation of 85. About how many scores greater than 600 would we expect to find?
Answers
So approximately 14.5% of the scores are higher than 600. This means in a sample of 7500, one could expect to see
Final answer:
First, calculate the z-score for 600 using the provided mean and standard deviation. The result, approximately 1.059, indicates that it lies roughly one standard deviation above the mean. Approximately 15.87% of scores in a normal distribution are more than 1 standard deviation greater than the mean, so we would expect about 15.87% of 7500, or 1190 scores, to be greater than 600.
Explanation:
The question is asking about a phenomenon in statistics called the normal distribution, which is a type of continuous probability distribution often seen in natural parameters such as heights, weights, or scores, as in this case. To find how many scores are greater than 600, we first need to calculate the z-score, which measures how many standard deviations an element is from the mean.
The z-score formula is Z = (X - μ)/σ, where X is the score, μ is the mean, and σ is the standard deviation. In this case, X = 600, μ = 510, and σ = 85. So, Z = (600 - 510)/85 ≈ 1.059.
For a normal distribution, about 15.87% of the data falls more than 1 standard deviation greater than the mean. So, we would expect about 15.87% of 7500 scores to be greater than 600. That means, approximately 1190 scores would be greater than 600.
Learn more about Z-score and Normal Distribution here:
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Related Questions
I need help no this
573,097 rounded to the nearest 100,000
Which of the lines below is parallel to y = 5x + 7 ?
whats the most accurate estimation of 65+77
Answers
Answer:
AC = BD = 1 unit
Step-by-step explanation:
Given : length of diagonal of rectangle ABCD and
We have to find the length of diagonal.
We know In rectangle diagonal are of equal lengths.
Therefore, for rectangle ABCD diagonals AC= BD
Substitute the values, we get,
Cross multiply , we get
On simplyfy , we get
Solve for y , we get
Divide both side by 12, we get,
Thus, put the values of y in AC and BD to find the length of diagonals , we get,
Similarly for BC, we get,
Thus, AC = BD = 1 unit
y= -5x+2
The answer choices are:
A. The solution is ______( fill in whatever the solution is)__.
B. There is infinitely many solutions.
C. There is no solution.
I also have to graph it so what what would I graph if need be?
Thanks so much!!!
Answers
-5x+2=5x-8
2) if you solve that you get that x=1
3) put x back in one of the original equations
y=5(1)-8
4) then you get y as -2
A) the solution is x=1 y=-2
You would graph x and y and a coordinate point (1,-2)
Answers
Answer:
To determine whether AB and CD are parallel, perpendicular, or neither, we need to analyze their slopes.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Let's calculate the slopes of AB and CD:
AB:
Point A (8, 4)
Point B (4, 3)
slope of AB = (3 - 4) / (4 - 8) = -1 / -4 = 1/4
CD:
Point C (4, -9)
Point D (2, -1)
slope of CD = (-1 - (-9)) / (2 - 4) = 8 / -2 = -4
Now, let's analyze the slopes:
1. If the slopes of AB and CD are equal, then the lines are parallel.
In this case, the slope of AB is 1/4 and the slope of CD is -4. Since the slopes are different, AB and CD are not parallel.
2. If the product of the slopes is -1, then the lines are perpendicular.
In this case, the product of the slopes of AB and CD is (1/4) * (-4) = -1. Since the product is -1, AB and CD are perpendicular.
Therefore, AB and CD are perpendicular to each other.
In summary, AB and CD are perpendicular lines.
Step-by-step explanation:
<3
f(x)=7x+15 g(x)=5x-6
Answers
Answer: 2x+21
=============================
Work Shown:
f(x) - g(x) = [ f(x) ] - [ g(x) ]
f(x) - g(x) = [ 7x+15 ] - [ 5x-6 ]
f(x) - g(x) = 7x+15 - 5x+6
f(x) - g(x) = (7x-5x)+(15+6)
f(x) - g(x) = 2x+21
Answers
Answers
6/400 = 16/x ....6 hrs to 400 = 16 hrs to x
this is a proportion, so we cross multiply
(6)(x) = (400)(16)
6x = 6400
x = 6400/6
x = 1066.67 <==
On Plato, the answer is 3253.