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3 years ago

When Nachelle runs the 400 meter dash, her finishing times are normally distributed

Mathematics

1 answer:

elena-s [515]3 years ago

5 0

Step-by-step explanation:

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You might be interested in

Solve the following logarithmic equations. ln(x^6) = 36

Hoochie [10]

Answer:

The solution is x = e⁶

Step-by-step explanation:

Hi there!

First, let´s write the equation

ln(x⁶) = 36

Apply logarithm property: ln(xᵃ) = a ln(x)

6 ln(x) = 36

Divide both sides of the equation by 6

ln(x) = 6

Apply e to both sides

e^(ln(x)) = e⁶

x = e⁶

The solution is x = e⁶

Let´s prove why e^(ln(x)) = x

Let´s consider this function:

y = e^(ln(x))

Apply ln to both sides of the equation

ln(y) = ln(e^(ln(x)))

Apply logarithm property: ln(xᵃ) = a ln(x)

ln(y) = ln(x) · ln(e) (ln(e) = 1)

ln(y) = ln(x)

Apply logarithm equality rule: if ln(a) = ln(b) then, a = b

y = x

Since y = e^(ln(x)), then x =e^(ln(x))

Have a nice day!

8 0

3 years ago

A pair of congruent angles are described as follows: The degree measure of one angle is three more than twice a number, and the

Fiesta28 [93]

Answer:

The measure of the angles in degree is 57.5 degrees

Step-by-step explanation:

If two angles are congruent, they are equal in value

Let the number be x

2x + 3 = 3x-54.5

Thus;

3x-2x = 54.5 + 3

x = 57.5

6 0

3 years ago

If a → b is true, then ~a → b is also true.

Rasek [7]

Answer:

False

Step-by-step explanation:

To determine whether the statemaent "If $a\Rightarrow b$ is true, then $\neg a\Rightarrow b$ is also true" holds, you can form the truth table:

$\begin{array}{ccccc}a&b&a\Rightarrow b&\neg a&\neg a\Rightarrow b\\1&1&1&0&1\\1&0&0&0&1\\0&1&1&1&1\\0&0&1&1&0\end{array}$

When the result of the column $a\Rightarrow b$ takes value 1 (true), the result of the column $\neg a\Rightarrow b$ is not always 1, then the statement is false.

7 0

3 years ago

* HELP: Find the indicated angle measure. Find m2NLM A. 10 B.60 C.120 D.30

Debora [2.8K]

The answer is easy
So we need to fund m2NLM
The answer is c

5 0

2 years ago

There are 420 books on a bookcase with 7 shelves. Each shelf has the same number of books. How many books are on 4 shelves? 28 6

Ghella [55]

If we have 420 books for every 7 shelves and are looking for how many books are on 4 shelves, we need to set up fractional proportions.

We have 7 shelves for every 420 books, so we will have our first fraction like this:
7/420.
We also have 4 shelves for every x books, so our second fraction will be 4/x.

Set these fractions up as an equation.
7/420 = 4/x

To solve for x, we need to cross multiply the numerators of one fraction with the denominators of the other fraction.
In other words, multiply the top number of one fraction by the bottom number of the other question.

It should look like this:
7(x)
420(4)

7(x) = 7x
420(4) = 1680

Set your products up as an equation.
7x = 1680

Now to solve for x, we need to simplify.
Currently, x is being multiplied by 7.
To get x alone, divide 7x by 7.
Remember, what you do to one side of an equation, you must do to the other, so divide 1680 by 7.

7x / 7 = x
1680 / 7 = 240

You are left with:
x = 240.

For every 4 shelves you have 240 books.

I hope this helps!

3 0

3 years ago