ANSWERS: •$5,948.49 •$8,922.72 •$14,871.21 •$29,742.41

What is the answer X/5+×/7=12

Leviafan [203]

Answer:

x = 25

Step-by-step explanation:

Step by step solution :

Step 1 :

x

Simplify —

5

Equation at the end of step 1 :

x

(— + 7) - 12 = 0

5

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 5 as the denominator :

7 7 • 5

7 = — = —————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x + 7 • 5 x + 35

————————— = ——————

5 5

Equation at the end of step 2 :

(x + 35)

———————— - 12 = 0

5

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

12 12 • 5

12 = —— = ——————

1 5

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(x+35) - (12 • 5) x - 25

————————————————— = ——————

5 5

Equation at the end of step 3 :

x - 25

—————— = 0

5

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-25

———— • 5 = 0 • 5

5

Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-25 = 0

Solving a Single Variable Equation :

4.2 Solve : x-25 = 0

Add 25 to both sides of the equation :

x = 25

One solution was found :

x = 25

4 0

3 years ago

F(x)= 3x - 4x2 +6x and g(x)= 5x +2x2 – 3x. What is f(x) g(x)?

goldenfox [79]

f(x)g(x) = 9x² + 10x - 16

Step-by-step explanation:

Step 1:

Given f(x) = 3x - 4 × 2 + 6x and g(x) = 5x + 2 × 2 - 3x

f(x) = 9x - 8

g(x) = 2x + 4

f(x)g(x) = (9x - 8)(2x + 4)

= 18x² + 36x - 16x -32

= 18x² + 20x - 32

= 9x² + 10x - 16

7 0

3 years ago

Can you simplify a chain of if then statements? if so what do we call it?

lawyer [7]

A conditional statement (also called an If-Then Statement) is a statement with a hypothesis followed by a conclusion. ... The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement.

6 0

4 years ago

Mr. Taylor invests $60 000 in a bank which pays a simple interest of 4% p.a. After 9 months, he withdraws all his money. How muc

Veronika [31]

Answer:

$61800

Step-by-step explanation:

i = prt / 100

60000x4x0.75 / 100

interest is 1800

1800 + 60000 = 61800

8 0

3 years ago

On the Navajo Reservation, a random sample of 210 permanent dwellings in the Fort Defiance region showed that 69 were traditiona

Marat540 [252]

Answer:

a) The 99% confidence interval for the difference of proportions is (0.0844, 0.3012).

b) We are 99% sure that the true difference in proportions is between 0.0844 and 0.3012. Since all values are positive, there is significant evidence at the 1 - 0.99 = 0.01 significance level to conclude that the proportion is the Fort Defiance region is higher than in the Indian Wells region.

Step-by-step explanation:

Before finding the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Fort Defiance:

69 out of 210, so:

$p_1 = \frac{69}{210} = 0.3286$

$s_1 = \sqrt{\frac{0.3286*0.6714}{210}} = 0.0324$

Indian Wells:

22 out of 162, so:

$p_2 = \frac{22}{162} = 0.1358$

$s_2 = \sqrt{\frac{0.1358*0.8642}{162}} = 0.0269$

Distribution of the difference:

$p = p_1 - p_2 = 0.3286 - 0.1358 = 0.1928$

$s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0324^2 + 0.0269^2} = 0.0421$

a. Find a 99% confidence interval for p1 -p2.

The confidence interval is:

$p \pm zs$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a p-value of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower bound of the interval is:

$p - zs = 0.1928 - 2.575*0.0421 = 0.0844$

The upper bound of the interval is:

$p + zs = 0.1928 + 2.575*0.0421 = 0.3012$

The 99% confidence interval for the difference of proportions is (0.0844, 0.3012).

Question b:

We are 99% sure that the true difference in proportions is between 0.0844 and 0.3012. Since all values are positive, there is significant evidence at the 1 - 0.99 = 0.01 significance level to conclude that the proportion is the Fort Defiance region is higher than in the Indian Wells region.

8 0

3 years ago