Is 16 a prime number?

You surveyed 112 students and found out that 14 went to the movies last week-

Cerrena [4.2K]

Answer:

c) 325

Step-by-step explanation:

The fraction of students that went to the movies is 14/112. To find the number of students who went to the movies from a larger group, you have to find a fraction equal to 14/112, whose denominator is 2600 (the number of students from the larger group).

14/112 = x/2600

You can do cross multiplication here. Cross multiplication is multiplying the denominator of one fraction by the numerator of the fraction equivalent to it. That product will be equal to the numerator of the first fraction * denominator of the second fraction.

112*x = 14*2600

x = 325

Approximately 325 students out of 2600 students would've gone to the movie last weekend.

4 0

3 years ago

What is the quadratic equation of the curve of best fit shown below

Kisachek [45]

First off, we know that the y-interecept is 2, so there is going to be a plus two in the final equation. Now with the two answers input the number 8 to see which will output 6.

6 = 1/12(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/12 + 2
6 = 16/3 + 6/3
6 does not equal 22/3

6 = 1/16(8)^(2) + 2
6 = 1/12(64) + 2
6 = 64/16 + 2
6 = 4 + 2
6 = 6
This means that y = 1/16 x^2 + 2 is the correct answer. I hope that helps!

4 0

3 years ago

7. Solve the equation. 6(x - 2) = 36 0-8 04 04 08 What one

rusak2 [61]

Answer:

8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

6(x - 2) = 36

Step 2: Solve for x

Divide 6 on both sides: x - 2 = 6
Add 2 on both sides: x = 8

6 0

3 years ago

for the given license plate configuration, determine how many different plates are possinle if letters and digits (a) can ba rep

Inessa05 [86]

Answer:

a) 1,757,600 different plates possible.

b) 1,404,000 different plates possible.

Step-by-step explanation:

The permutations formula is important to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

(a) can be repeated:

There are 3 letters, each one with 26 possible outcomes.

2 digits, each with 10 possible outcomes

So

T = 26*26*26*10*10 = 1757600

1,757,600 different plates possible.

(b) cannot be repeated:

Here the permutations formula is used.

Three letters, from a set of 26.

Two digits, from a set of 10. So

$T = P_{(26,3)}*P_{(10,2)} = \frac{26!}{(26-3)!}*\frac{10!}{(10-2)!} = 1404000$

1,404,000 different plates possible.

4 0

3 years ago

Order the following numbers from least to greatest.

zaharov [31]

Answer:

-5.5 $-\sqrt{20}$ $\sqrt4$ $\frac{22}{7}$ 4.5

Step-by-step explanation:

Given:

The numbers to order from least to greatest is given as:

$-5.5, 4.5, 22/7,\sqrt4,-\sqrt{20}$

In order to compare these numbers, we have to convert them in same form.

Let us simplify each number in decimal form.

$-5.5 = -5.5\\\\4.5=4.5\\\\\frac{22}{7}=3.14\\\\\sqrt4=2\\\\-\sqrt{20}=-\sqrt{5\times 2^2}=-2\sqrt5=-4.47$

So, the least number is one which has the largest value with a negative sign.

Here, -5.5 is the least number.

The next smallest number is -4.47. So, $-\sqrt{20}$

The next smallest number is 2. So, $\sqrt4$

The next smallest number is 3.14. So, $\frac{22}{7}$

The greatest number is 4.5.

Therefore, the order from the least to greatest is:

-5.5 < $-\sqrt{20}$ < $\sqrt4$ < $\frac{22}{7}$ < 4.5

8 0

3 years ago