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3 years ago

Rearrange this equation to isolate c a=b(1/c - 1/d)

1 answer:

4 0

$a = b ( \frac{1}{c}- \frac{1}{d}) \\ a = \frac{b}{c}- \frac{b}{d} \\ \frac{b}{c}=a+ \frac{b}{d} \\ \frac{b}{c}= \frac{ad+b}{d} \\ c = b : \frac{ad+b}{d} \\ c = \frac{bd}{ad+b}$

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A clerk at the butcher shop is six feet tall and wears size 10 shoes. What does<br> he weigh?

VikaD [51]

Answer:

he will weigh 300 lbs.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If n =270 and (p-hat) =0.43, find the margin of error at a 99% confidence level.. give answer to 3 decimals

Troyanec [42]

Answer:

0.078

Step-by-step explanation:

Margin of error = z√(p(1-p)/n)

Given

p-hat = 0.43

n = 270

z at 99% confidence interval = 2.576

Substitute

MOE = 2.576√0.43(1-0.43)/270

MOE = 2.576√0.43*0.57/270

MOE = 2.576√0.2451/270

MOE = 2.576*0.030129

MOE = 0.078

Hence the margin og error is 0.078

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2 years ago

Witch of the following is the equal to 4 kilograms

likoan [24]

"the following" of what? I think you are missing the list

3 0

3 years ago

Read 2 more answers

Two dice are rolled. Determine the probability of the following: rolling a 6 or doubles

gtnhenbr [62]

Answer as an exact fraction = 5/18

Answer as an approximate decimal = 0.2778

Answer as an approximate percentage = 27.78%

============================================================

Explanation:

x = result of the first die

y = result of the second die

(x,y) paired together shows the results of both dice at the same time.

Something like (x,y) = (4,2) means we got 4 on the first die and 2 on the second die.

--------

Let's list the ways of rolling a 6

(1,5)
(2,4)
(3,3)
(4,2)
(5,1)

There are 5 ways to roll a 6. Each pair listed has the property x+y = 6.

--------

List all the ways of getting doubles

(1,1)
(2,2)
(3,3)
(4,4)
(5,5)
(6,6)

There are 6 ways to roll doubles. Each pair mentioned has x = y.

--------

We have 5+6 = 11 items listed above. However, there are only 10 unique pairs though because (3,3) was listed twice. So we could say 5+6-1 = 11-1 = 10.

This is out of 6*6 = 36 different ways to roll the two dice. The probability is therefore 10/36 = 5/18.

Using a calculator, 5/18 = 0.2778 = 27.78%

7 0

3 years ago

Solve the system by using a matrix equation.<br> --4x - 5y = -5<br> -6x - 8y = -2

evablogger [386]

Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

$\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}$

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

$\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}$

Step # 1 : Swap the first and second matrix rows,

$\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}$

Step # 2 : Cancel leading coefficient in row 2 through $R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1$ ,

$\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}$

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

$\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}$

As you can see our solution is x = 15, y = - 11 or (15, - 11).

4 0

3 years ago