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3 years ago

F(x) = 2x and g(x) = 2x - 7 Find (f - g)(x).

Mathematics

1 answer:

shutvik [7]3 years ago

7 0

Answer:

(f-g)(x)=7

Step-by-step explanation:

f(x)=2x

g(x)=2x-7

(f-g)(x)=f(x)-g(x)=2x-(2x-7)=7

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Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries

kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

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 interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

$\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04$

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535
$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465$

64.65% probability of at least one injury commuting to work in the next 20 years

3 0

3 years ago

Simplify the expression: 3(2x2 + 7x + 4) - 8x2 + 15

Softa [21]

Answer:

-2x² + 21x + 27

Step-by-step explanation:

distribute 3 to get:

(6x² + 21x + 12) - 8x² + 15

combine 'like terms' to get:

-2x² + 21x + 27

5 0

3 years ago

There are 4 breakfast choices in a school cafeteria: Cereal, Granola Bar, Breakfast Sandwich, and Fruit. The percentage of stude

zalisa [80]

Answer:

300. In this case, it's very easy to do this percentage inflation. Since 20 is a multiple of 100, and we want to know the 100%, you just multiply the 20 by 5 to make it 100. Along with this, you multiply the 60 by 5 as well, which gives you 300.

8 0

2 years ago

I don't understand this question

padilas [110]

Answer:

105 rooms

Step-by-step explanation:

quarter=1/4

total rooms=140

rooms cleaned=1/4×140=35

140-35=105

therefore total rooms remaining are 105 rooms

hopes this helps

brainliest pls

7 0

1 year ago

5. Consider the diagram below. Solve for x.

mrs_skeptik [129]

Answer:

41 degrees

Step-by-step explanation:

The three angles need to add up to 180 degrees!

4 0

3 years ago