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statuscvo [17]
3 years ago
9

The graph below illustrates the time students took to complete a test when all students were allowed to finish. The distribution

has mean 65 minutes and standard deviation 10 minutes.Using the Empirical Rule, if the instructor sets a time limit of 75 minutes, at least _____% of students should be able to finish because this is one standard deviation above the mean.
Mathematics
1 answer:
Greeley [361]3 years ago
7 0
The answer for this question is 15%
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Which set of angles could be the interior angles of a triangle?
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Answer:

D. 20°, 60°, and 100°

Step-by-step explanation:

basically you're testing which set adds up to 180°:

D should immediately catch the eye since it has a simple 100°, and 60+20 is 80, making D the correct answer

a: 189°

b: 90°

c: 120°

d: 180°

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lesantik [10]

Answer:

10x^2-11x-6

Step-by-step explanation:

To expand, we use the FOIL method. You do this by multiplying each number inside the parenthesis by the other numbers in the other set of the parenthesis. For example, on this problem, you would multiply 5x by 2x, and then 5x by -3.

Step by step, you would:

5x * 2x = 10x^2

5x * -3 = -15x

2 * 2x = 4x

2 * -3 = -6

In an equation, it would expand to 10x^2-15x+4x-6

To simplify, you add like terms (constants and those with the same variable). In this case, you would add together all the terms ending in x.

-15x+4x=-11x

Now, you have added like terms together, so your simplified answer is 10x^2-11x-6.

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3 years ago
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Step-by-step explanation:

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4 0
2 years ago
What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 ti
Marat540 [252]

Answer:

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

Step-by-step explanation:

Given

x^2 - 5x - 7 = 0

Required

Solve for x using:

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

First, we need to identify a, b and c

The general form of a quadratic equation is:

ax^2 + bx + c = 0

So, by comparison with x^2 - 5x - 7 = 0

a = 1     b = -5      c = -7

Substitute these values of a, b and c in

x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}

x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}

x = \frac{5 \± \sqrt{25 +28}}{2}

x = \frac{5 \± \sqrt{53}}{2}

Split the expression to two

x = \frac{5 + \sqrt{53}}{2}  or  x = \frac{5 - \sqrt{53}}{2}

To solve further in decimal form, we have

x = \frac{5 + 7.28}{2}  or  x = \frac{5 - 7.28}{2}

x = \frac{12.28}{2}  or  x = \frac{-2.28}{2}

x = 6.14 or x = -1.14

4 0
3 years ago
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