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3 years ago

A poll is given, showing 45% are in favor of a new building project.

Mathematics

1 answer:

katrin [286]3 years ago

4 0

Answer:

The probability is 0.136125

Step-by-step explanation:

45% are in favor of the project, the probability of selecting someone in favor of the project will be 45/100 = 0.45

The probability of selecting someone not in favor of the project = 1 - probability of selecting someone in favor of project = 1-0.45 = 0.55

Now we have 3 people to be chosen at random with exactly one of them favoring the new building project. This means two of them will not favor the building project

Thus the probability here is = the probability of favoring * the probability of not favoring * the probability of not favoring

= 0.45 * 0.55 * 0.55 = 0.136125

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4 years ago

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Step-by-step explanation:

here,

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Rate (R)=. 3.4%

time (t)=3 yrs

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2 years ago

Mark decided to build a rectangular vegetable garden in his backyard that was 8 feet long and 4 feet wide. Steve liked Mark's ga

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Answer:

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4 years ago

Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue,

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Let the total number of votes to choose a color = x

Number of votes for blue = $\frac{5}{8}\times x$

Remaining votes = x - $\frac{5}{8}\times x$

= $\frac{8x-5x}{8}\times x$

= $\frac{3}{8}\times x$

Votes for green = $\frac{5}{9}\times (\text{Remaining votes})}$

= $\frac{5}{9}\times \frac{3x}{8}$

= $\frac{5}{24}\times x$

Finally remaining votes = $\frac{3x}{8}-\frac{5x}{24}$

= $\frac{9x-5x}{24}$

= $\frac{4x}{24}$

= $\frac{x}{6}$

Since these votes are for red therefore,

$\frac{x}{6}$ = 48

x = 48×6

= 288

a) Votes for blue are $\frac{5x}{8}$

Therefore, exact number for blue votes = $\frac{5\times 288}{8}$

= 5×36

= 180

b). Votes for green = $\frac{5x}{24}$

= $\frac{5\times 288}{24}$

= 60

c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25

= 313

d). Since seven tenths of the votes for blue were made by the girls.

Therefore, number of girls voted for blue = $\frac{7}{10}\times 180$

= 7×18

= 126

Since total votes made = 288

Therefore, half of the votes made = $\frac{288}{2}$

= 144

Now it's clear that number of votes made by girls is less than half of all the votes.

e). 126 girls voted for blue.

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3 years ago

After reading a book foe English class, 100 students were asked whether or not they enjoyed it. Nine twenty-fifths of the class

Katena32 [7]

Answer:

The number of students who liked the book was 64.

Step-by-step explanation:

After reading a book for English class, 100 students were asked whether or not they enjoyed it.

Now, given that nine twenty-fifths of the class did not like the book.

So, $\frac{9}{25}$ of the whole class did not like the book.

Then, the fraction of the class who did like the book was $(1 - \frac{9}{25}) = \frac{16}{25}$ .

Therefore, the number of students who liked the book was $(100 \times \frac{16}{25}) = 64$ . (Answer)

7 0

3 years ago