From a standard desk of 52 card, 5 card are draw.What are the odds of each even occurring?
a) 5 aces
b) 5 face cards

Answer:

  76

Step-by-step explanation:

The last two digits of powers of 36 repeat in a pattern of length 5:

  36^1 mod 100 = 36

  36^2 mod 100 = 96

  36^3 mod 100 = 56

  36^4 mod 100 = 16

  36^5 mod 100 = 76

  36^6 mod 100 = 36

The last two digits of the power 2015 are the same as those of the 5th power: 76.

Frieda will keep 3 apples to herself after sharing

From the given question, we are told that frieda has 12 red apples and 15 green apples. The total number of fruit is expressed as:

If she is going to share equally among 8 people, then the remainder when 27 is divided by 8 will be the remaining fruit

Taking the ratio

Ratio = 27/8

Ratio = 3 remainder 3

Frieda will keep 3 apples to herself after sharing

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Answer:

Step-by-step explanation:

b=6

To determine the number of rows in the theater, we use the given information to create the equation x * (x - 7) = 144 where x is the number of seats per row. Factoring out, we find 16 and 9 as a suitable pair, leading to the conclusion that there are 9 rows of seats in the theater.

The student's question involves finding the number of rows of seats in a theater given certain constraints. To solve this problem, let's designate x as the number of seats in each row. According to the question, the number of rows of seats is 7 less than the number of seats in a row, which can be written as x - 7. Since we know the theater can seat 144 people in total, we can create the following equation to represent the total number of seats:

x  imes (x - 7) = 144

Solving this quadratic equation by factoring will give us the value of x, which will then allow us to calculate x - 7 for the number of rows. By factoring 144, we find that 16 and 9 are factors that satisfy the equation (16  imes 9 = 144) and also meet the condition that one factor is 7 less than the other (16 - 7 = 9). Therefore, the number of seats in each row is 16, and the number of rows is 16 - 7 which gives us 9 rows in the theater.

Answer:

81.6

Step-by-step explanation:

this question is pretty old but I hope this helps people like me trying to find the actual answer unlike the first one.

The mass of 10,000 peanuts is 4,500 g or 4.5 kg.

The question asks for a reasonable guess for the mass of 10,000 peanuts, given that each peanut has a mass of about 0.45 g. To calculate this, we simply multiply the number of peanuts by the mass of each peanut:

Mass of one peanut = 0.45 g
Number of peanuts = 10,000
Total mass = 0.45 g/peanut x 10,000 peanuts

Now we will carry out the multiplication:

Total mass = 4,500 g

Since we are dealing with a large quantity of peanuts, it is more convenient to express this mass in kilograms:

4,500 g is equivalent to 4.5 kg (since 1 kg = 1,000 g).

7.02 is approximately 10.4 percent of 67.5.

To find what percent 7.02 is of 67.5,

Since we know that,

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

We can use a proportion.

Let's call the unknown percent "x."

The proportion would be:

7.02/67.5 = x/100

We can cross-multiply to solve for x:

(7.02 * 100) / 67.5 = x

Simplifying this expression, we get:

x = 10.4

Therefore, 7.02 is approximately 10.4% of 67.5.

Learn more about the percent visit:

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Answer:

[tex]12[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

In this problem we have

For [tex]x=3[/tex] -----> [tex]f(x)=8[/tex]

so

Find the value of k

[tex]f(x)*x=k[/tex]

substitute the value of x and f(x)

[tex]8*3=k[/tex]

[tex]k=24[/tex]

therefore

the equation is equal to

[tex]f(x)=24/x[/tex]

For [tex]x=2[/tex] -------> substitute in the equation and find the value of f(x)

[tex]f(x)=24/2=12[/tex]

The probability that a randomly selected single parent in the U.S. military is a woman in the Air Force is [tex]\( \frac{6}{97} \)[/tex], which is approximately 0.0619 or 6.19%.

To find the probability that a randomly selected single parent in the U.S. military is a woman in the Air Force, we need to divide the number of women in the Air Force by the total number of single parents in the military.

1. First, find the number of women in the Air Force from the table. This is given as 6 thousand.

2. Next, find the total number of single parents in the military. This is given as 97 thousand.

3. Finally, divide the number of women in the Air Force by the total number of single parents in the military and express the result as a fraction or decimal to represent the probability.

So, the probability P can be calculated as:

[tex]\[ P = \frac{{\text{Number of women in the Air Force}}}{{\text{Total number of single parents}}} \][/tex]

Substituting the values:

[tex]\[ P = \frac{6}{97} \][/tex]

[tex]\[ P ≈ 0.0619 \][/tex]

Therefore, the probability that a randomly selected single parent in the U.S. military is a woman in the Air Force is approximately 0.0619 or 6.19%.

Complete question:

This problem involves empirical probability. The table shows the breakdown of 97 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is a woman in the Air Force.

             Army    Navy   Marine Corps  Air Force  Total

Male        27         26            4                      14           71

Female    11            8             1                       6            26

Total        38          34           5                      20          97

The probability that a randomly selected single parent in the U.S. military is a woman in the Air Force is?

The expression 3 - 3×6 + 2, following the order of operations, results in -13. There is no need to add unnecessary parentheses or introduce an "invisible" 1; multiplication inherently takes precedence.

The expression should be evaluated according to the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's solve the expression step by step:

3 - 3×6 + 2

Step 1: Perform multiplication first, since it precedes addition and subtraction in the order of operations.
3 - (3×6) + 2 = 3 - 18 + 2

Step 2: Proceed with addition and subtraction from left to right.
3 - 18 results in -15, and then adding 2 gives us -15 + 2 = -13.

Therefore, the correct answer to the expression is -13.

There's no need to introduce an "invisible" 1 or to add parentheses around the multiplication, as the multiplication already has precedence over addition and subtraction.