MATHEMATICS HIGH SCHOOL

What is the probability of someone correctly guessing your Social Security number? (Assume all digits 0-9 are available for use)a

Answers

Answer 1

Answer:

Answer: 1 / 999,999,999

Explanation:

You can do it in two different ways.

1) First approach

probability = number of positive events / number of possible events

i) number of positive events = 1 (your number is just one number)

ii) number of possible events = number of valid numbers

Assuming the smallest valid number is 1, and the greatest one is 999,999,999, that leads to 999,999,999 different numbers

iii) probability = 1 / 999,999,999

2) Second approach

i) there are 9 digits.

ii) the guesser must guess all the digits in the correct order

iii) since there are 10 digits, from 0 to 9, there are 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 1,000,000,000 different combinations

But that includes the number 000,000,000 which is not valid, so you have to subtract 1: 1,000,000,000 - 1 = 999,999,999

Which leads to the same result of the first approach.

Answer 2

Answer: $(1)/(10^9)=(1)/(1000000000)$

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Use the cubic model y=5a^3-2a^2+a-45 to find the value of y when x=4.

Answers

Answer:

y = 247

Step-by-step explanation:

The given cubic model that expresses the value of y is

y = 5a³ - 2a² + a - 45

We have to find the value of y at a = 4

We can calculate the value of y by putting a = 4

y = 5(4)³ - 2(4)² + 4 - 45

= 5(64) - 2(16) - 41

= 320 - 32 - 41

= 247

y = 247

easy
remember: exponents first

y=5(4³)-2(4²)+4-45
y=5(64)-2(16)-41
y=320-32-41
y=288-41
y=247

answer is 247

Find the approximate circumference of a circle (in inches) if the diameter is 14 inches

Answers

Answer:

43.96 inches

Step-by-step explanation:

The formula that you have to find the circumference is.

C = π d

Here,

C = circumference

d = diameter

Let us find now.

C = π d

C = π × 14

C = 3.14 × 14

C = 43.96 inches

Hope this helps you :-)

Let me know if you have any other questions :-)

What is the measurement of X and Y? Can you please show the answer and explain how you got it? Thanks!

Answers

Answer: x = 28, y = 47

**Remember, these are just the values of the variables, not the angle measures. In order to find the angle measures, you need to plug these in. **

Step-by-step explanation:

Finding x

40+5x=180

Subtract 40 from both sides --> 5x=140

Divide by 5 --> x=28

In order to find y, you need the angle to the left of the 40 degrees. (180-40) which is 140. Because the (3y-1) and 140 are across from one another, they are equal, so we set them equal, then get y alone.

3y-1 = 140

(add 1 to both sides) 3y = 141

(divide by 3) y = 47

Of all the species in the world 4, out of every 5 are insects. What percentage of species are insects

Answers

If 4/5 are insects, 8/10, or .8, of the species are insects. To find a percentage, multiply by 100 to find that 80% of the species are insects.

Answer:

80%

Step-by-step explanation:

khan academy lol

a tree is standing by the side of the building. 2/5th of the height of the tree is above the building level. the building is 9 metres high. what is the height of the tree?

Answers

If 2/5 of the tree is above the building, the other 3/5 must be down next to the building.

3/5(tree) = 9m

Multiply each side by 5/3 :

tree = (5/3) (9) = 15 meters

9 + ( 2 / 5 )*h = h =>45 + 2h = 5h => 45 = 3h => h = 45 / 3 => h = 15 metres.

X^{2} -25=0 Please help meeee