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3 years ago

14

Give the y-intercept of the function f(x)=x^3 + 5x^2 - 3x+3

2 answers:

Umnica [9.8K]3 years ago

4 0

Answer:

(0,3)

Step-by-step explanation:

$y=(0)^3+5(0)^2-3(0+3)$

$y=(0)^3+5(0)^2-3(0+3)$

$y=(0)^3+5(0)^2-3(0+3)$

$y=(0)^3+5(0)^2-3(0+3)$

$y=0+0+0+3$

$y=3$

stepladder [879]3 years ago

3 0

Answer:
Y-intercept (0,-20)

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The sum of three certain consecutive numbers is 240. Find the 3 numbers.

BartSMP [9]

Answer:79 , 80 , 81

Step-by-step explanation:What three consecutive integers have a sum of 240? What three consecutive integers have a sum of 240? Which means that the first number is 79, the second number is 79 + 1 and the third number is 79 + 2. Therefore, three consecutive integers that add up to 240 are 79, 80, and 81.

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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

grigory [225]

Answer:

59

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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If you spin the spinner, what is the probability it will stop on a multiple of 5?

Y_Kistochka [10]

Answer:

Step-by-step explanation:

1/10

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3 years ago