Ms. Johnson asked her class to write an equivalent expression to

1 answer:

7 0

No one got the correct answer. The answer is supposed to be 7(2d+3k-dk-1). All the coefficients are divisible by 7, thus only the integers are changed. However, the variables cannot be a factor because they do not have the same variables that all the coefficients must have.

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For each part of this problem, show all your work and write a probability statement.

AlladinOne [14]

Answer:

Follows are the answer to the given point.

Step-by-step explanation:

In point 1:

$\to P( \text{number of response}) = \frac{192}{338} \\$

$= \frac{96}{169}\\\\= 0.56$

In point 2:

$\to P| \text{(Zoloft and fill response)}| = \frac{27}{338}$

$= 0.079$

In point 3:

$\to P(\frac{\text{ full or partial}}{\text{St. John's Wort}}) = \frac{\frac{43}{338}}{\frac{113}{338}}$

$= \frac{43}{338} \times \frac{338} {113}\\\\= \frac{43}{113}\\\\= 0.38$

In point 4:

$\to P(\frac{\text{Placebo}}{\text{full or response}}) = P(\frac{(\text{Placebo} \cap \text{full or response})} {\text{p(full response)}})$

$= \frac{\frac{79}{338}}{ 1- \frac{91}{338}} \\\\ = \frac{\frac{79}{338}}{ \frac{338-91}{338}} \\\\ = \frac{\frac{79}{338}}{\frac{247}{338}} \\\\ = \frac{79}{338} \times \frac {338}{247} \\\\= \frac{79}{274} \\\\ = 0.28$

4 0

3 years ago

Factor the expression. 4d + 12 Enter your answers in the boxes.

Dmitry_Shevchenko [17]

4d + 12 = 4(d + 3)
Basically, you just need to determine what 4d and 12 have in common. In this case, they both divide evenly by 4. Therefore 4 (d + 3) = 4d + 12 according to the distributive property.

5 0

3 years ago

Read 2 more answers

The length of a rectangle is three times its width. The perimeter of the rectangle is 100 inches. What are the dimensions of the

ser-zykov [4K]

Answer:

We have l = 2w and 2l + 2w = 100 inches;

Then 4w + 2w = 100 inches;

6w = 100 inches;

w = 16.6;

l = 3 x 16.6;

l = 49.8 inches;