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Drupady [299]
3 years ago
13

On a recent quiz, the class mean was 70 with a standard deviation of 2.1. Calculate the z-score (to 4 decimal places) for a pers

on who received score of 76.
Mathematics
1 answer:
Igoryamba3 years ago
5 0
The equation to find a z score is (x- mean)/(standard deviation)

So, in this case the equation would be
(76-70)/(2.1)

For,
X=76
Mean=70
Standard Deviation= 2.1

After solving we find that the z score equals 2.85714

or

2.8571

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Write the inverse function for the function, ƒ(x) =1/2x + 4. Then, find the value of ƒ^ -1(4). Type your answers in the box.
Kipish [7]

Answer:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

Step-by-step explanation:

f(x) = \frac{1}{2} x + 4\\x = \frac{1}{2} f^{-1}(x) + 4\\x - 4 = \frac{1}{2} f^{-1}(x)\\2x - 8 = f^{-1}(x)\\f^{-1}(x) = 2x - 8

Let's test it

f^{-1}(f(x)) = 2(f(x)) - 8\\f^{-1}(f(x)) = 2( \frac{1}{2}x + 4) - 8\\f^{-1}(f(x)) = \frac{2}{2}x + 8 - 8\\f^{-1}(f(x)) = x

So we do indeed have the inverse function, so using that we can plug in the values requested:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

4 0
3 years ago
Write the expanded form of the decimal 0.082¯ using powers of 10
Softa [21]

Answer:

0.082 = 8.2× 10^-2

Step-by-step explanation:

Given the decimal number 0.082, the expanded form using the power of 10 can be gotten by writing the decimal number in standard format(writing as a multiple of 10).

To do that we will shift the decimal point to the front up to the front of digit 8. This shows that the decimal point will be shifted 2times to the front. Since of is shifted 2times to the front, our power of 10 will be -2.

0.082 = 8.2× 10^-2

This gives the required answer.

Note that, the power of 10 is positive when decimals are shifted to the back and negative when shifted to the front(in this case).

3 0
3 years ago
What will the sign be on the solution to this problem: (-3)(-4)(5)(6)(-7)<br><br> +<br> -
Korvikt [17]

Answer:

-

Step-by-step explanation:

becuase (-3)(-4) will give you a positive and when you mutipy it with the 5 and 6 you will still get postive but when you multiply with -7, you will get a negitive

4 0
3 years ago
Read 2 more answers
A grocery store sells and 8 ounce bottle of juice for $1.76 What is the cost of the juice per ounce?
Marat540 [252]

Answer:

$0.22

Step-by-step explanation:

Now we know that 8 ounces total to $1.76. That means that in order to find how much 1 ounce costs, we will end up dividing both sides by 8

8 oz = $1.76

8 oz / 8 = $1.76 / 8

1 oz = $0.22

So, we now know that 1 oz  is equal to 22 cents. You can also confirm your answer by multiple 0.22 by 8, and you'll see that you'll get 1.76

6 0
3 years ago
Lines that meet or cross each other to form square corners are called ______.
Viefleur [7K]

The lines that intersect to form square corners that are right angles are called: C. perpendicular lines.

<h3>What are Perpendicular Lines?</h3>

Perpendicular lines are lines that intersect each other at a point and forms for square corners that are right angles at that point of intersection.

An example of perpendicular lines is shown in the image attached below.

Thus, the lines that meet to form right angles are called: C. perpendicular.

Learn more about perpendicular lines on:

brainly.com/question/1202004

#SPJ1

5 0
1 year ago
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