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3 years ago

Over what interval is the function in this graph increasing?

Mathematics

1 answer:

Umnica [9.8K]3 years ago

7 0

Answer:

B. -4 ≤ x ≤ 1.

Step-by-step explanation:

The function is increasing when the slope of the line is rising to the right.

Each division on the x axis has a value of 2

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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

Two tenths is equal to what in fractions

SVEN [57.7K]

.2= 2/10
now you have to reduce it and it is 1/5

6 0

3 years ago

Help i will mark you brainliest!

Morgarella [4.7K]

Since x+y equals 5 that means x is 3 and y is 2 because 3+2=5. So now plug it in, 2(3)+3(2). Two multiplied by three is 6 and three times two is 6. So now it’s 6+6 which equals 12. So it’s 2(3)+3(2)=12

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3 years ago

Can someone answer theese 3 questions.

NNADVOKAT [17]

Answer:

1.) A

2.) D

3.) A

Step-by-step explanation:

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2 years ago

Tony leaves his house and rides his bike due north at 12 mph. At the same time, Jake leaves the same house and rides due west at

ElenaW [278]

Tony is 24 miles from the house.
Jake is 10 miles from the house.
They are 26 miles apart.

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3 years ago