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3 years ago

9

What is pi and why is it important

1 answer:

Allushta [10]3 years ago

5 0

Pi<span> (π) is the ratio of the circumference of a circle to its diameter. It doesn't matter how big or small the circle is - the ratio stays the same. Properties like this that stay the same when you change other attributes are called constants.

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In a sequence the first term is 7 and the common difference is 2 what is the fifth term

Nady [450]

7, 14, 28, 56, 112.

The 5th term is 112

6 0

3 years ago

Read 2 more answers

Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi

ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles carry just one person.

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

$P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291$

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

$\mu = np = 92(0.64) = 58.88$

$\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60$

We have to evaluate the probability that more than 47 cars carry just one person.

$P(x \geq 47)$

After continuity correction, we will evaluate

$P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)$

$= 1 - P(z \leq -2.6913)$

Calculation the value from standard normal z table, we have,

$P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%$

0.996 is the probability that more than half out of 92 vehicles carry just one person.

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3 years ago

16. Use the vertical line test to determine whether the relation is a function.

drek231 [11]

Answer:

neither of them are

Step-by-step explanation:

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2 years ago

For what value of x does the function have an output of -7, given that g(x) = -3x + 8

madam [21]

Answer:

X=5

Step-by-step explanation:

-3x+8=-7

-3x=-15

X=5

4 0

3 years ago

When Maria finished medical school, she had a student loan. She repaid $27,000 of the loan within two years of graduating. That

Alchen [17]

Answer

$54,000

Equation

x=27,000

2x=54,000

3 0

3 years ago