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3 years ago

G(x) = 6x^2-7 Find g(x+2)

Mathematics

1 answer:

Ahat [919]3 years ago

7 0

Answer:

= 6x² + 24x + 17

Step-by-step explanation:

g(x+2) = 6(x+2)² -7

= 6(x² + 4x + 4) - 7

= 6x² + 24x + 24 - 7

= 6x² + 24x + 17

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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

Paula rows 6 miles upstream in 3 hours she returns downstream in 2 hours. Which is the rate Paula rows in still water? What is t

KiRa [710]

Answer:

Upstream - 2 miles per hour

Downstream - 3 miles per hour

Step-by-step explanation:

For the speed upstream, the answer would be 2 miles per hour (mph), because 6÷3=2.

For the speed downstream, the answer would be 3 miles per hour (mph), because 6÷2=3.

Both answers come in similar methods. Hope this helps you!

If you don't mind, please mark my answer brainliest!

8 0

3 years ago

Read 2 more answers

Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3. Polygon Y’s area isn’t what fraction of Polygon X’s area?

loris [4]

Answer:

1/9th.

Step-by-step explanation:

Because the area is measured in units squared, then you have to square 1/3 which is 19th.

5 0

3 years ago

Which of the following is true of the values of x and y in the diagram below?

belka [17]

Answer: y/x = 1

Step-by-step explanation:

It was on quizlet

8 0

3 years ago

Match the STATEMENTS with the reasons that are given for the following proof. Note that these reasons would be listed on the rig

dusya [7]

Answer:

Step-by-step explanation:

1. AB||DC and AB = CD Given

2. ∠1 = ∠4 If lines are parallel, then alternate interior

angles are equal.

3 .AC = AC Reflexive

4. ΔABC ≅ ΔCDA SAS

5. ∠2 = ∠3 CPCTE

4 0

3 years ago