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murzikaleks [220]
3 years ago
9

Which expression is equivalent to (x+2)(3x-3)?

Mathematics
1 answer:
trapecia [35]3 years ago
8 0

Answer:D

Step-by-step explanation:Multiply x and 3x to get 3x^2 which is the first part, then multiply x and -3 to get -3x then and that to 2 times 3x which get you 3x bc -3x + 6x is 3x, and for the last part, multiply 2 and -3 to get -6 so your answer will be 3x^2+3x-6

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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
There was a Rockets game on Friday and Saturday.
katrin [286]
18,055
-
3,138
———-
14,927

14,927
+
18,055
———-
32,982
6 0
2 years ago
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Can someone pls help me find what is 1/10+12/20?
irga5000 [103]

Answer:

\frac{7}{10}

Step-by-step explanation:

\frac{1}{10} can also be written as \frac{2}{20}

\frac{2}{20} +\frac{12}{20} =\frac{14}{20}

Simply to \frac{7}{10}

-OTHER METHOD-

\frac{12}{20} can be simplified to \frac{6}{10}

\frac{1}{10} +\frac{6}{10} =\frac{7}{10}

7 0
3 years ago
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Ugo [173]
<span>Please help need this done now hurry 1 question below!! 25 points</span>
7 0
3 years ago
Am I correct????????
lord [1]
Answer choice 3
is the best choice.
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