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3 years ago

2 less than the product of w and 5

1 answer:

3 0

Answer:

~ 5w-2

Explanation:

~ First multiply, the w and 5 together giving you (5w)

~ Then take away 2 from the 5w giving you the answer of 5w-2

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Solve for the probability that a student is selected at random from a group of 20 students will draw a 6 from a bag with the num

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Depending on what the number is in for the bag

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3 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.

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3 years ago

3 . Which list of numbers is ordered from least to

mihalych1998 [28]

Answer:

it’s C. 0.02,0.2.1/2, 2 1/2

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3 years ago

If a^ 1/n = n What is an equivalent form of 7? Show steps plz!

Scrat [10]

Answer:

7⁷

Step-by-step explanation:

a^(1/7) = 7

a = 7⁷

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3 years ago

After 3/4 of a minute a sloth has moved just 3/8 of a foot. what is the sloth's speed in feet per minute

Delicious77 [7]

Hello!

So 4/4 - 3/4 = 1/4 (a quarter). So we have to find a quarter of 3/8 and add it to 3/8. First of all, we have to convert 1/4 to a percentage. The answer is 25%. 3/8 as a decimal is 0.375. 25% of 0.375 = (0.25 x 0.375 =) 0.09375.
0.09375 + 0.375 = 0.46875.
Now, we have to convert 0.46875 back into a fraction.

So the answer is 5/64.

Have a great day! :)

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3 years ago