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DanielleElmas [232]
3 years ago
14

What is the product of 2x+ 3 and 4x2 - 5x+ 6?

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

8x³ - 25x² - 3x + 18

Step-by-step explanation:

(2x + 3)(4x²- 5x + 6)

multiply 2x by each of the three terms in the second expression to get:

8x³ - 10x² + 12x

now multiply 3 by each of the three terms in the second expression to get:

12x² - 15x + 18

Combine 'like terms': -10x² + (-15x²) = -25x²

Combine 'like terms':  12x + (-15x) = -3x

Put all terms in decreasing exponent order:

8x³ - 25x² - 3x + 18

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The number of accidents on a certain section of I-40 averages 4 accidents per weekday independent across weekdays. Assuming the
AysviL [449]

Answer:

1.83% probability there are no car accidents on that stretch on Monday

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The number of accidents on a certain section of I-40 averages 4 accidents per weekday independent across weekdays.

This means that \mu = 4

What is the probability there are no car accidents on that stretch on Monday?

This is P(X = 0).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-4}*(4)^{0}}{(0)!} = 0.0183

1.83% probability there are no car accidents on that stretch on Monday

5 0
3 years ago
Is 3/5 less or more than 3/8
bulgar [2K]
3/5 is smaller. if you look at the ruler 3/5 will be first and then 3/8th
6 0
3 years ago
Read 2 more answers
Carmen drew this figure to represent the dividend of a division expression.What number is represented by the arrow?
Hunter-Best [27]

Answer:

The answer is 9

Step-by-step explanation:

All you need to do is divide the two numbers and you will get 9. Trust me I did this one:)

5 0
3 years ago
Read 2 more answers
a baby weighs 8 pounds 10 ounces.if her weight doubles in 6 months, how much will she weigh in 6 months?
natta225 [31]
I think that the baby would weight 18 pounds if her weight doubles in six months 
8 0
3 years ago
Assume the time required to complete a product is normally distributed with a mean 3.2 hours and standard deviation .4 hours. Ho
Alex787 [66]

Answer: 3.712 hours or more

Step-by-step explanation:

Let X be the random variable that denotes the time required to complete a product.

X is normally distributed.

X\sim N(\mu=3.2\text{ hours},\ \sigma=0.4\text{ hours} )

Let x be the times it takes to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

Then, P(\dfrac{X-\mu}{\sigma}>\dfrac{x-\mu}{\sigma})=0.10

P(z>\dfrac{x-3.2}{\sigma})=0.10\ \ \ [z=\dfrac{x-\mu}{\sigma}]

As, P(z>1.28)=0.10  [By z-table]

Then,

\dfrac{x-3.2}{0.4}=1.28\\\\\Rightarrow\ x=0.4\times1.28+3.2\\\\\Rightarrow\ x=3.712

So, it will take 3.712 hours or more to complete a random unit in order to be in the top 10% (right tail) of the time distribution.

3 0
3 years ago
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