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Oduvanchick [21]
2 years ago
6

What does the remainder theorem conclude given that f(x)x+3 has a remainder of 11?

Mathematics
1 answer:
Slav-nsk [51]2 years ago
5 0

By the remainder theorem of polynomial division, the complete equation is f(-3) = 11

<h3>How to complete the blanks?</h3>

The equation is given as:

f(x)/x + 3

Set the divisor to 0

x + 3 = 0

Solve for x

x = -3

Given that the quotient has a remainder of 11.

It means that:

f(-3) = 11

Hence, the complete equation is f(-3) = 11

Read more about remainder theorem at:

brainly.com/question/13328536

#SPJ1

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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.8 per year. a. Find t
maw [93]

Answer:

a. 0.098

b. 4.41

c. Yes, it does.

Step-by-step explanation:

a.

The Poisson distribution's equation is:

P(x) = (nˣ*e⁻ⁿ)/x!

where P is the probability, n is mean number, and x the number of the event happens, so:

P(3) = \frac{5.8^3*e^{-5.8}}{3!}

P(3) = 0.098

b.

For 45 years, the years that are expected to have 3 hurricanes are

P(3) * 45 = 0.098*45 = 4.41

c.

Yes, it does. The Poisson distribution works well because the observed value of the number of years that 3 hurricanes occur is 45-year period is very close to the calculated value.

8 0
3 years ago
The weight of an object on a particular scale is 145.2 lbs. The measured weight may vary from the actual weight by at most 0.3 l
Stels [109]
<span>145.2-0.3=144.9
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3 0
2 years ago
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A rectangle is 9 ft long and 40 in. wide. What is it’s area in square feet?
vladimir1956 [14]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ 40 inches = 3.33333

Area = length x width

Substitute the values:

Area = 9 x 3.33333

Solve:

Area = 30ft^2

<h3><u>✽</u></h3>

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3 years ago
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Rita bakes cakes to earn money. She spent $30 for supplies to make 15 cakes. Which inequality shows how much Rita has to charge
Alex Ar [27]

First we have to see the formula of profit, which is

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And it is given that profit should be atleast $150, that is

Profit  \geq  150 \\ Selling \ price - cost \ price \geq 150

Let Ritax dollars per cake, so for 15 cakes, she charge 15x .

And she epent 30 dollars for 15 cakes.

So we will get

15x-30 \geq 150

Adding 30 to both sides

15x \geq  180 \\ x \geq 12

Correct option is the second option .

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3 years ago
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A number is less than 15 translating inequalities
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<em>Greetings from Brasil...</em>

According to the statement of the question, let X be any number. If this number X has to be less than 15, we can write:

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