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AleksandrR [38]

3 years ago

12

5. Using only odd numbers for numerators,

1 answer:

Lady bird [3.3K]3 years ago

4 0

Answer:

3/4 - 1/4 = 1/2
5/8 - 1/8 = 1/2

Step-by-step explanation:

You can pick just about any fraction with an odd numerator and find another at distance 1/2 from it.

For example, 5/7 - 1/2 = 10/14 - 7/14 = 3/14. So your subtraction problem can be ...

5/7 - 3/14 = 1/2

Choosing a denominator divisible by 4 can make both parts of the problem use the same denominator.

3/4 - 2/4 = 1/4, so the corresponding subtraction problem is 3/4 - 1/4 = 1/2.

5/8 - 4/8 = 1/8, so the subtraction problem is 5/8 -1/8 = 1/2.

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The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w

Sati [7]

Answer:

The sample size is $n = 600$

Step-by-step explanation:

From the question we are told that

The sample proportion is $\r p = 0.48$

The margin of error is $MOE = 0.04$

Given that the confidence level is 95% the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the values is

$Z_{\frac{\alpha }{2} } = 1.96$

The reason we are obtaining critical value of $\frac{\alpha }{2}$ instead of $\alpha$ is because

$\alpha$ represents the area under the normal curve where the confidence level interval ( $1-\alpha$ ) did not cover which include both the left and right tail while

$\frac{\alpha }{2}$ is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

$MOE = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p(1- \r p )}{n} }$

substituting values

$0.04= 1.96* \sqrt{ \frac{0.48(1- 0.48 )}{n} }$

$0.02041 = \sqrt{ \frac{0.48(52 )}{n} }$

$0.02041 = \sqrt{ \frac{ 0.2496}{n} }$

$0.02041^2 = \frac{ 0.2496}{n}$

$0.0004166 = \frac{ 0.2496}{n}$

=> $n = 600$

5 0

3 years ago

Solve for x: 3-x = 3(6x-9). Describe the process used to solve the equation and show each step.

FromTheMoon [43]

Answer:

$x=1.578$

Step-by-step explanation:

Given equation is $3-x = 3(6x-9)$

We need to find the value of $x$

$3-x = 3(6x-9)$

Distribute $3$ in the right-hand side

$3-x=18x-27$

Add both sides $x$

$3-x+x=18x+x-27\\3=19x-27$

Now, add both sides $27$

$3+27=19x-27+27\\30=19x$

Divide both sides by $19$

$\frac{30}{19}=\frac{19x}{19}\\x=1.578$

So, $x=1.578$

5 0

2 years ago

Hello people ~<br>factorise↷<br> x^2 + 4x –21

EleoNora [17]

Let's see

$\\ \rm\rightarrowtail x^2+4x-21$

$\\ \rm\rightarrowtail x^2+7x-3x-21$

$\\ \rm\rightarrowtail x(x+7)-3(x+7)$

$\\ \rm\rightarrowtail (x-3)(x+7)$

8 0

2 years ago

Find f(x) if g(f(x))=x and g(x)=(x+1)/(x-1)

Firdavs [7]

Answer:

f(x) = (x +1)/(x -1)

Step-by-step explanation:

Let f(x) = y. We want to find y such that ...

g(y) = x

(y +1)/(y -1) = x

y +1 = xy -x . . . . . . multiply by y-1

y -xy = -x -1 . . . . . . add -1 -xy

y(x -1) = x +1 . . . . . . multiply by -1 and factor out y

y = (x +1)/(x -1) . . . . divide by the coefficient of y

Then ...

f(x) = (x +1)/(x -1)

_____

<em>Check</em>

g(f(x)) = ((x +1)/(x -1) +1)/((x +1)/(x -1) -1)

= ((x +1 +x -1)/(x -1)) / ((x +1 -x +1)/(x -1))

= 2x/2

= x

7 0

1 year ago

Fine the solution of 4x^2+4x+1=0

Natalka [10]

Answer:

x = -1/2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers