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3 years ago

How many rows are needed to seat all students. When there are 846 students and each row holds 18 people

Mathematics

1 answer:

gulaghasi [49]3 years ago

3 0

Answer:

The answer is 47 rows.

Step-by-step explanation:

If we have 846 students, and each row can hold 18 people.

We just divide the total students into the number of people sitting by row.

846 ÷ 18 = 47.

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How to do proportional triangles

harina [27]

Answer: If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.

Step-by-step explanation:

7 0

3 years ago

The perimeter of a rectangle is 32 inches. The length is 1 foot. What is the width of the rectangle in inches? A. 4 inches B. 10

alekssr [168]

Answer:

A. 4 inches

Step-by-step explanation:

Applying,

P = 2(L+W)............. Equation 1

Where P = Perimter of the rectangle, L = Length of the rectangle, W = width of the rectangle.

make W the subject of the equation

W = (P/2)-L............ Equation 2

From the question,

Given: P = 32 inches, L = 1 foot (Convert from Foot to inches), L = 12 inches

Substitute these values into equation 2

W = (32/2)-12

W = 16-12

W = 4 inches.

Hence the right option is A.

6 0

3 years ago

Please help me with this surds question.

noname [10]

the answer is 0.2 or one fifths

3 0

2 years ago

Find the indicated conditional probability

andrezito [222]

Given:

The two way table.

To find:

The conditional probability of P(Drive to school | Senior).

Solution:

The conditional probability is defined as:

$P(A|B)=\dfrac{P(A\cap B)}{P(B)}$

Using this formula, we get

$P(\text{Drive to school }|\text{ Senior})=\dfrac{P(\text{Drive to school and senior})}{P(\text{Senior})}$ ...(i)

From the given two way table, we get

Drive to school and senior = 25

Senior = 25+5+5

= 35

Total = 2+25+3+13+20+2+25+5+5

= 100

Now,

$P(\text{Drive to school and senior})=\dfrac{25}{100}$

$P(\text{Senior})=\dfrac{35}{100}$

Substituting these values in (i), we get

$P(\text{Drive to school }|\text{ Senior})=\dfrac{\dfrac{25}{100}}{\dfrac{35}{100}}$

$P(\text{Drive to school }|\text{ Senior})=\dfrac{25}{35}$

$P(\text{Drive to school }|\text{ Senior})=0.7142857$

$P(\text{Drive to school }|\text{ Senior})\approx 0.71$

Therefore, the required conditional probability is 0.71.

5 0

3 years ago

Read 2 more answers

The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu

Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that $p = 0.7$

20 adults

This means that $n = 20$

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is P(X = 12).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144$

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

3 0

2 years ago