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4 years ago

Explain how 7/12 is greater than 1/3 but less than 2/3

2 answers:

6 0

First we will change them on the same denominator which will be 12. If we do something to the denominator we must do the same to the numerator so :
For 1/3 we get 4/12 because (1/3)*4 = 4/12
And for 2/3 we get 8/12 because (2/3)*4 = 8/12
So 1/3 is the smaller fraction, 7/12 is in the middle and 2/3 is the bigger fraction.

andrew11 [14]4 years ago

3 0

7/12 is .58, and 1/3 is .33 and 2/3 is.66. I think that 7/12 is greater than 1/3, but smaller than 2/3.

You might be interested in

Factor please <br> x^2+8x+15

Anastasy [175]

Answer:

(x + 3)(x + 5)

Step-by-step explanation:

The given expression is x^2 +8x + 15

Now find the factor of 15 such that when you add the factors, we have to get 8

The right factors of 15.

5 * 3 = 15

5 + 3 = 8

The right factors are 3 and 5.

x^2 + 8x + 15 = (x + 3)(x + 5)

Therefore, x^2 + 8x + 15 = (x + 3)(x + 5)

Thank you.

6 0

3 years ago

A research team conducted a study showing that approximately 10% of all businessmen who wear ties wear them so tightly that they

PIT_PIT [208]

Answer:

a) 0.794 = 79.4% probability that at least one tie is too tight.

b) 0.184 = 18.4% probability that more than two ties are too tight.

c) 0.206 = 20.6% probability that no tie is too tight.

d) 0.816 = 81.6% probability that at least 13 ties are not too tight.

Step-by-step explanation:

For each tie, there are only two possible outcomes. Either they are too tight, or they are not too tight. The probability of a businessmen wearing a tie too tight is independent of any other businessmen, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

10% of all businessmen who wear ties wear them so tightly

This means that $p = 0.1$

15 businessmen

This means that $n = 15$

a. at least one tie is too tight

This is:

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.206$

Then

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.206 = 0.794$

0.794 = 79.4% probability that at least one tie is too tight.

b. more than two ties are too tight 0.913

This is:

$P(X > 2) = 1 - P(X \leq 2)$

In which:

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.206$

$P(X = 1) = C_{15,1}.(0.1)^{1}.(0.9)^{14} = 0.343$

$P(X = 2) = C_{15,2}.(0.1)^{2}.(0.9)^{13} = 0.267$

Then

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.206 + 0.343 + 0.267 = 0.816$

$P(X > 2) = 1 - P(X \leq 2) = 1 - 0.816 = 0.184$

0.184 = 18.4% probability that more than two ties are too tight.

c. no tie is too tight

This is P(X = 0). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.206$

0.206 = 20.6% probability that no tie is too tight.

d. at least 13 ties are not too tight 0.816

At most 2 are too tight, which is $P(X \leq 2) = 0.816$ , found in option b.

0.816 = 81.6% probability that at least 13 ties are not too tight.

6 0

3 years ago

High school math help please (20 points for 3 problems, but if you could even answer 2 that would help. Please explain how you g

ipn [44]

Answer:

To question 1: van=9, bus=60

To question 2: Sorry, I don't know the answer.

To question 3: skate rental fee=$2.50, admission fee=$3.25

Step-by-step explanation:

Question 1:

Step 1 - set up equations

14v+16b=1,086

10b+13n=870

Step 2 - Solve for variable (in this case v)

10v+13b=870

Subtract 13b from both sides

10v=-13b+870

Divide both sides by 10

V=-1.3b+87

Step 3 - substitute the v in equation and solve

14 (-1.3b+87)+16b=1,086

-18.2b+1,218+16b=1,086

Combine like-terms

-2.2b+1,218=1,087

Subtract 1,218 from both sides

-2.2b=-132

Divide both sides by -2.2

B=60

Step 4 - substitute for b and solve

10v+13(60)=870

10v+780=870

Subtract 780 from both sides

10v=90

Divide both sides by 10

V=9

Question 3:

Step 1 - set up equations

5s+6f=32

5s+7f=35.25

Step 2 - solve for variable (in this case s)

5s+6f=32

Subtract 6f from both sides

5s=-6f+32

Divide both sides by 5

S=-1.2f+6.4

Step 3 - substitute for s and solve

5(-1.2f+6.4)+7f=35.25

-6f+32+7f=35.25

Combine like-terms

F+32=35.25

Subtract 32 from both sides

F=3.25

Step 4 - substitute for f

5s+6(3.25)=32

5s+19.5=32

Subtract 19.5 from both sides

5s=12.5

Divide both sides by 5

S=2.5

4 0

3 years ago

Joogh bought reaps for $3 each and biscuits for $6 each. The total cost was 108. Write an equation in standard form showing the

zysi [14]

Answer:

Step-by-step explanation:

We are given the cost of x ($3) and y ($6) and the total cost (which will be on the right side of the = sign)
We know that x + y = total. This means that we will add $3 and $6 to get the total.
You would multiply $3 by x in case there is more than one reap purchased. This applies to biscuits as well.
In conclusion, you would use this information to get...
3x + 6y = 108 (or $3y + $6y = $108)

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

6 0

2 years ago

60÷5(7-5) what is the answer to this math equation?

Mumz [18]

For this case we have the following expression:

60 ÷ 5 (7-5)

Applying the distributive property we have:

60 ÷ ((5 * 7) - (5 * 5))

Rewriting we have:

60 ÷ (35-25)

60 ÷ 10

Finally, dividing both numbers we have:

60 ÷ 10 = 6

Answer:

The answer to this math equation is:

60 ÷ 5 (7-5) = 6

8 0

3 years ago

Read 2 more answers