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3 years ago

Plz give me correct answers

Mathematics

1 answer:

TEA [102]3 years ago

3 0

(1) 30,489.3 repeating
(2) 70,282
(3) 50,505

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The line with equation y = 2x - 6 passes through the point (a,2). The value of a is:

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Answer:

b) 4

Step-by-step explanation:

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3 years ago

PLEASE ANSWER!!!!WILL MARK BRAINLIEST!!!

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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

Tell whether the angles are adjacent or vertical. Then find the value of x.

Charra [1.4K]

Answer:

Adjacent. x is 100.

Step-by-step explanation:

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3 years ago

Read 2 more answers

The length of a rectangle is 5 times the width. If the perimeter is to be greater than 36 meters. What are the possible values f

Lostsunrise [7]

Answer:

The width must be greater than 3 meters.

Step-by-step explanation:

Let w represent the width. Then 5w will represent the length, which is 5 times the width. The perimeter is the total of the side lengths of the rectangle, so is ...

P = 2w + 2(5w) = 12w

We want this to be greater than 36 m, so ...

P > 36 m

12w > 36 m . . . . . . . substitute our expression for P

w > 3 m . . . . . . . . . . divide by 12

The possible values for width are those values that are more than 3 meters.

3 0

3 years ago

Plz give me correct answers ​

Plz give me correct answers