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2 years ago

If anyone can help with this please

Mathematics

1 answer:

Nadya [2.5K]2 years ago

3 0

Answer: don't know sorry

Step-by-step explanation:

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Write a function rule for the statement.<br><br> The output is one more than twice the input.

Alina [70]

Dur

1 more than 2 times input
input is x
1 more than twice x
1+2x
f(x)=2x+1

5 0

2 years ago

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.

5 0

2 years ago

Plz help will mark brainliest

DENIUS [597]

Answer:

$-x^1} \\\\\\Hope that helps!$

Step-by-step explanation:

8 0

2 years ago

Why isn't 10 a perfect square

nadya68 [22]

Because there is no number that when multiplied by itself that could equal to 10 (ex: 16 is a perfect square because 4 and 4 multiplied together equals 16; 4 and 4 are the same number)

3 0

3 years ago

The difference of 5 times y and 3

saul85 [17]

The way to find the difference between 5y - 3 you have to first do the inverse operation of multiplication which is division.

5y - 3
__ __
5 5

y - 0.6

3 0

2 years ago