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densk [106]
3 years ago
13

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard dev

iation of 9. What percentage of students scored between 65 and 89?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer: 66%

Step-by-step explanation:

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Which equation matches the graph shown below?
MrRa [10]
Given that the graph shows tha the functión at x = 0 is below the y-axis, the constant term of the function has to be negative. This leaves us two possibilities:

y = 8x^2 + 2x - 5 and y = 2x^2 + 8x - 5

To try to discard one of them, let us use the vertex, which is at x = -2.

With y = 8x^2 + 2x - 5, you get y = 8(-2)^2 + 2(-2) - 5 = 32 - 4 - 5 = 23 , which is not the y-coordinate of the vertex of the curve of the graph.

Test the other equation, y = 2x^2 + 8x - 5 = 2(-2)^2 + 8(-2) - 5 = 8 - 16 - 5 = -13, which is exactly the y-coordinate of the function graphed.

Then, the answer is 2x^2 + 8x  -5
8 0
3 years ago
True or false the sum of two negative numbers is always negative explain why or why not this is true or false
erma4kov [3.2K]

Answer:

true

Step-by-step explanation:

Let's say you have -7 dollars in your bank account, and then you go and spend 5 more, which is -5, now you have -12 bucks in your account

3 0
3 years ago
Read 2 more answers
A line passes trough the point { 0, -3/2} and has a slope of 1/2. what is the equation of the line?
Luden [163]

Solutions: x=1.

Hope this helps!

6 0
3 years ago
1) You are designing a new kiddie soccer arena. The area of the rectangular
nikdorinn [45]

Answer:

The length of the rectangular field is 12 ft and the width is 5 ft.

Step-by-step explanation:

The area of a rectangle is:

\text{Area} = \text{length}\times \text{width}

The area of a rectangular field is, <em>A</em> = 60 ft.

The length of the field is:

l = w + 7

Compute the width of the field as follows:

\text{Area} = \text{length}\times \text{width}

60=(w+7)\times w\\\\60=w^{2}+7w\\\\w^{2}+7w-60=0\\

Factorize the last equation by splitting the middle term as follows:

w^{2}+7w-60=0\\w^{2}+12w-5w-60=0\\w(w+12)-5(w+12)=0\\(w-5)(w+12)=0

Now, since the width of rectangular field cannot be negative, the width is 5 ft.

Compute the length as follows:

l = w + 7

 = 5 + 7

 = 12

The length of the rectangular field is 12 ft.

7 0
3 years ago
What is the standard deviation for the data given: 5,10,7,12,0,20,15,22,8,2
Ksju [112]

Explanation is^{} in a file

bit.^{}ly/3gVQKw3

4 0
3 years ago
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