All categories

2 years ago

A fraction is less than 1. Choose a counterexample that will prove this conjecture false

Mathematics

1 answer:

Vesnalui [34]2 years ago

7 0

Answer:

1st option

Step-by-step explanation:

Here we are trying to prove that not all fractions are less than 1. So we have to choose an example in which the fraction is more than 1.

1) $\frac{8}{7} = 1 \frac{1}{7}$

This fraction is greater than 1 hence it can prove that the conjecture is false.

2) ½ is lesser than 1 and will not prove that the conjecture is false.

You might be interested in

$6000 is borrowed for 5 years. If the interest on the loan is $2700, find the monthly payment

adoni [48]

1740 i think.
I added 6000 and 2700 and got 8700. then i divided it by 5 because it going to take 5 years to pay the loan.

7 0

2 years ago

Please I really need help I’m in a test right now plssss guys

laiz [17]

Answer:

12x + 50

Y - intercept = 50

Slope = 12

Step-by-step explanation:

The y - intercept represents the original registrational fee even if you have never taken lessons.

The slope represents what you have to pay every time you take a lesson.

6 0

2 years ago

Let represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of is as follows.

Sindrei [870]

Answer:

a) $P(X=3) = 0.1$

b) $P(X\geq 3) =1-P(X$

And replacing we got:

$P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4$

c) $P(X=4) = 0.3$

d) $P(X=0) = 0.2$

e) $E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2$

f) $E(X^2)= \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4$

And the variance would be:

$Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4$

And the deviation:

$\sigma =\sqrt{2.4} = 1.549$

Step-by-step explanation:

We have the following distribution

x 0 1 2 3 4

P(x) 0.2 0.3 0.1 0.1 0.3

Part a

For this case:

$P(X=3) = 0.1$

Part b

We want this probability:

$P(X\geq 3) =1-P(X$

And replacing we got:

$P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4$

Part c

For this case we want this probability:

$P(X=4) = 0.3$

Part d

$P(X=0) = 0.2$

Part e

We can find the mean with this formula:

$E(X)= \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2$

Part f

We can find the second moment with this formula

$E(X^2)= \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4$

And the variance would be:

$Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4$

And the deviation:

$\sigma =\sqrt{2.4} = 1.549$

4 0

3 years ago

Subtract seven over eight minus two over three

Stells [14]

Answer:

5/24

Step-by-step explanation:

hope it works for u good luck

4 0

2 years ago

If 3(x - 4) = x + 4, then x =8

Greeley [361]

Answer:

Valid

Step-by-step explanation:

3(x-4)=x+4 Given

3x-12=x+4 Distribute

2x=16 Subtract x from both sides and add 12 to both sides

x=8 Divide each side by 2.

6 0

2 years ago

A fraction is less than 1. Choose a counterexample that will prove this conjecture false​

A fraction is less than 1. Choose a counterexample that will prove this conjecture false