Complete the table for the properties of each quadrilateral

James answered 14 items correctly on a 16-item quiz. what percent did he answer correctly?

Troyanec [42]

So,

I like to simplify a fraction first. This is what I do when I'm in a store trying to find the unit price.

$\frac{14}{16}$

Factor.
$\frac{2*7}{2*2*2*2}$

Cross out ones.
$\frac{7}{2*2*2}$

Multiply it out.
$\frac{7}{8}$

In my head, I remember that one-eighth is equal to 0.125.

So seven-eighths is equal to 0.125 times 7.
0.125 * 7 = 0.875

Convert to percent form.
0.875 --> 87.5%

James answered 87.5% of his quiz correctly.

I actually have the decimal equivalents for eighths in my head when I'm shopping. So once I get seven-eighths, I immediately know how much that is. I can also subtract 0.125 from 1.000 to get seven-eighths.

3 0

3 years ago

Read 2 more answers

Does the function model exponential growth or decay? f(t)=1/4⋅4^t

yarga [219]

Answer:

This is an exponential decay

Because the base of the exponent is 1/4.4 which is less than 1

Step-by-step explanation:

What is exponential growth?

when the base of our exponential is bigger than 1, which means those numbers get bigger.

What is exponential decay?

when the base of our exponential is in between 1 and 0 and those numbers get smaller.

6 0

2 years ago

What is the decimal for 2 7/10?

Archy [21]

Answer: 2.7 is the decimal for 2 7/10

4 0

3 years ago

Read 2 more answers

What is the correct answer? Please provide an explanation.

ryzh [129]

Answer:

A 270° rotation about point B'

Step-by-step explanation:

Rotation is clockwise so you can see that the final transformation is a rotation 270° clockwise

4 0

3 years ago

Read 2 more answers

Abby is registering at a Web site and must select a six-character password.The password can contain either letters or digits.

zaharov [31]

Answer:

a. 2176782336 with repeated characters. 1402410240 with no repeated characters.

b. 7964171460 when all letters can be repeated, but not numbers. 118813760 when only one number and letters can be repeated.

I believe that the password with all letters able to repeat and numbers not being able to is the most secure password, because if someone were to guess the password there is a 1/7964171460 chance of guessing the password.

Step-by-step explanation:

A. Since there are 26 different letters and 10 different numbers, there are 36 characters we can type. If characters can be repeated then, there is 2176782336 different passwords, since on all six number there are 36 possibilities each. So, 36 x 36 x 36 x 36 x 36 x 36 or 36^6 is to evaluated to find the answer. If characters are not to be repeated, there are 1402410240 different passwords, since on the first number there are 36, second has 35, third has 34, fourth has 33, fifth has 32, and sixth has 31. So, 36 x 35 x 34 x 33 x 32 x 31 is to be evaluated to solve this.

B. Since all characters that are letters can be repeated, then there are 26 letters to use forever and 10 numbers you can use with a limit. So, 36 x 35 x 34 x 33 x 32 x 31 which is to be solved if only numbers were to be used, which is 1402410240. Then, you add that with 36 x 35^5 and 36 x 35 x 34^4 and 36 x 35 x 34 x 33^3 and 36 x 35 x 34 x 33 x 32^2. which will be 7964171460. If the password must contain one digit, then you must multiply 10 with 26^5. Since, there is 10 different digits to use for the first number and 26 letters to choose from for the other five. So, it will be 26^5 times 10 which is 118813760.

6 0

3 years ago