A ship travels 7 miles due

Allushta [10]

6/ 2/3 that the answe ti that that should be the answer

5 0

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.

5 0

3 years ago

What is the slope in the equation:<br> y= 3/4x - 1

Basile [38]

Answer: the slope is 3/4.

y=mx+b and m is always the slope.

3 0

3 years ago

Read 2 more answers

The measure of angle 1 is 130°.

eimsori [14]

Answer:

The angle opposite angle 1

Step-by-step explanation:

Opposite angles have the same degree when two lines intersect because they are vertical angles.

4 0

3 years ago

Read 2 more answers

A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack

Bond [772]

The number of small packs is 2 and the number of large packs is 7

Step-by-step explanation:

A school is organizing a cookout where hot dogs will be served. The hot dogs come in small packs and large packs

Each small pack has 8 hot dogs
Each large pack has 18 hot dogs
The school bought 5 more large packs than small packs, which altogether had 142 hot dogs

We need to find the number of small packs purchased and the number of large packs purchased

Assume that the number of the small packs is x and the number of the large pack is y

∵ There are x small packs

∵ Each small pack has 8 hot dogs

∵ There are y large packs

∵ Each large pack has 18 hot dogs

∴ The total number of hot dogs in all packs = 8x + 18y

∵ All packs had 142 hot dogs

- Equate the total number of hot doges by 142

∴ 8x + 18y = 142 ⇒ (1)

∵ The school bought 5 more large packs than small packs

∴ y = x + 5 ⇒ (2)

Now we have system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ 8x + 18(x + 5) = 142

- Simplify the left hand side

∴ 8x + 18x + 90 = 142

- Add like terms in the left hand side

∴ 26x + 90 = 142

- Subtract 90 from both sides

∴ 26x = 52

- Divide both sides by 26

∴ x = 2

- Substitute the value of x in equation (2) to find y

∵ y = 2 + 5

∴ y = 7

The number of small packs is 2 and the number of large packs is 7

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

LearnwithBrainly

5 0

3 years ago