What is the inverse of the function f(x)= 1/4x

If three prime numbers are randomly selected from the prime numbers less than 30 and no prime number can be chosen more than onc

Dmitry [639]

Answer:

C)30%

Step-by-step explanation:

Prime numbers less than 30 are given below

2,3,5,7,11,13,17,19,23,29

We have to find the probability that sum of three prime numbers selected will be even.

We know that

Sum of any three prime number except 2 will be odd.

Total prime numbers except 2=9

Total prime numbers=10

Probability:P(E)= $\frac{favorable\;cases}{total\;number\;of\;cases}$

Probability of getting sum of three prime numbers selected will be odd= $\frac{9C_3}{10C_3}$

$nC_r=\frac{n!}{r!(n-r)!}$

By using formula

Probability of getting sum of three prime numbers selected will be odd=P(E)= $\frac{\frac{9!}{3!6!}}{\frac{10!}{3!7!}}=\frac{9!}{3!6!}\times \frac{3!\times 7\times 6!}{10\times 9!}$

Probability of getting sum of three prime numbers selected will be odd=P(E)= $0.7$

Probability of getting sum of three prime numbers selected will be even=P(E')=1-0.7=0.3= $0.3\times 100=30$ %

By using formula P(E')=1-P(E)

3 0

2 years ago

Which table represents the function y = -3x + 2?

Nat2105 [25]

Answer:

first one

Step-by-step explanation:

if you plug the inputs into the equation, you can see that all of the outputs match the ones in the first chart

0 --> 2

1 --> -1

2 --> -4

3 0

3 years ago

Bethany and her family are attending the Funville Town Fall Festival, and the first thing they do is get in line for the Maize (

erik [133]

Answer:

Part 1: 31.4 feet

Part 2: 61 feet

Part 3: 99,000 stalks of corn

Step-by-step explanation:

Part 1:

Diagram attached.

You can follow the problem closely and draw a diagram like this. The RED LINE is the distance we are looking to find.

The red line is the hypotenuse of a right triangle we can create (see the dotted line). We can now use the pythagorean theorem to solve for the distance.

Pythagorean Theorem is hypotenuse^2 = leg^2 + leg^2

Let red line [what we want to find] be h and the other 2 sides are 10-5=5 ft & 25 + 6 = 31ft. So we have:

$h^2 = 31^2 + 5^2\\h=\sqrt{31^2 + 5^2} \\h=31.4$

Hence Bethany has to walk 31.4 feet

Part 2:

See 2nd diagram attached.

The blue line is the path of Bethany and the green line is path of Ben. The RED line is what we are looking to find, the shortest distance between them.

We use Pythagorean Theorem twice on the two triangles and add up the results.

Left Triangle:

If we make a triangle, we have base (one leg) = 30 and the other leg is 20-10=10. So we have:

$h^2=30^2 + 10^2\\h=\sqrt{30^2 + 10^2} \\h=31.62$