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MA_775_DIABLO [31]
3 years ago
12

5.   A druggist is preparing a medication. Each capsule requires 0.007 gram of aspirin. He has 14 grams of aspirin. How many cap

sules can he prepare? 
    A. 5,000B. 200C. 2,000D. 500
Mathematics
1 answer:
brilliants [131]3 years ago
8 0
If every capsule requires 0.007 grams of aspirin, and the druggist has 14 grams, the best way to determine how many capsules he has is to divide 14 grams by 0.007 \frac{14}{0.007}=2000. This means that he can make C. 2,000 capsules
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8. Write an equation of your own that has one real solution. Transform the equation to demonstrate that it has one solution.
miskamm [114]

Answer:

2x  {?}^{2}  + 3x - 1 = 0

6 0
3 years ago
Find the probability of winning a lottery by selecting the correct six integers, where the order in which these inte
stich3 [128]

The probability of winning a lottery by selecting the correct six integers, are

\begin{aligned}&(a) 1.68 \times 10^{-6} \\&(b) 5.13 \times 10^{-7} \\& (c) 1.91 \times 10^{-7} \\&(d)8.15 \times 10^{-8}\end{aligned}

<h3>What is binomial distribution?</h3>

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

Part (a); positive integers not exceeding 30.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other twenty-four.

\frac{\left(\begin{array}{c}6 \\6\end{array}\right)\left(\begin{array}{c}24 \\0\end{array}\right)}{\left(\begin{array}{c}30 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}30 \\6\end{array}\right)}=1.68 \times 10^{-6}

Part (b); positive integers not exceeding 36.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other thirty.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}30 \\0\end{array}\right)}{\left(\begin{array}{c}36 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}36 \\6\end{array}\right)}=5.13 \times 10^{-7}

Part (c); positive integers not exceeding 42.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the 36 other integers.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}36 \\0\end{array}\right)}{\left(\begin{array}{c}42 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}42 \\6\end{array}\right)}=1.91 \times 10^{-7}

Part (d); positive integers not exceeding 48.

To calculate the probability, use binomial coefficients. Choose six of the six accurate integers and none of the other 42.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}42 \\0\end{array}\right)}{\left(\begin{array}{c}48 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}48 \\6\end{array}\right)}=8.15 \times 10^{-8}

To know more about binomial probability, here

brainly.com/question/9325204

#SPJ4

The complete question is-

Find the probability of winning a lottery by selecting the correct six integers, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 30. b) 36. c) 42. d) 48.

5 0
2 years ago
The volume of a particular die is 12100 mm3. Use the fact that 10 mm equals 1 cm to convert this volume to cm3.
igor_vitrenko [27]
Answer:

10 kiloliter to liters, the result is 10000 liters

if i helped then please give brainliest and a thanks!
8 0
3 years ago
Norton read 4 books during his vacation. the first book had 326 pages, the second had 288 pages,the third had 349 pages and the
Murrr4er [49]

The four books had an average of 341 pages

Step-by-step explanation:

Given

Total number of books = 4

Pages in first book = x1 = 326

Pages in second book = x2 = 288

Pages in third book = x3 = 349

Pages in fourth book = 401

The average is given by:

Average=\frac{Sum\ of\ pages}{number\ of\ books}\\=\frac{x_1+x_2+x_3+x_4}{4}\\=\frac{326+288+349+401}{4}\\=\frac{1364}{4}\\=341

The four books had an average of 341 pages

Keywords: Average, Division

Learn more about average at:

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#LearnwithBrainly

8 0
3 years ago
Pls pls pls pls pls pls pls
mars1129 [50]

The inverse, converse and contrapositive of a statement are used to determine the true values of the statement

<h3>How to determine the inverse, converse and contrapositive</h3>

As a general rule, we have:

If a conditional statement is: If p , then q .

Then:

  • Inverse -> If not p , then not q .
  • Converse -> If q , then p .
  • Contrapositive -> If not q , then not p .

Using the above rule, we have:

<u>Statement 1</u>

  • Inverse: If a parallelogram does not have a right angle, then it is not a rectangle.
  • Converse: If a parallelogram is a rectangle, then it has a right angle.
  • Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.

All three statements above are true

<u>Statement 2</u>

  • Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent.
  • Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of another
  • Contrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another

All three statements above are also true

Read more about conditional statements at:

brainly.com/question/11073037

8 0
2 years ago
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