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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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Area of a rectangle is length * width

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The city of Yorkton, Saskatchewan, has an area of 24.0 km^2. If this city were a perfect square, what would it’s exact perimeter
Elis [28]

Answer:

8\sqrt{6}  inches

Step-by-step explanation:

Let l represent the length of the square

The area of a square = l^2

That means,

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Take the square root of both sides

l = \sqrt{24}

l = \sqrt{4*6

l = \sqrt{4} *\sqrt{6}

l = 2\sqrt{6}

Now lets find the perimeter

Perimeter of a square, P = 4l

P = 4* 2\sqrt{6}

P = 8\sqrt{6} inches

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3 years ago
Felix joins a local recreation center to play basketball.The recreation center charges a $20 annual fee, plus an additional $15
Sav [38]

Answer:

11 months

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2 years ago
G(x) = 3x2 + 14x – 5?
Alla [95]

Answer:

x= -\frac{1}{14}

Step-by-step explanation:

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3 years ago
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The times to process orders at the service counter of a pharmacy are exponentially distributed with mean 1 0 minutes. If 100 cus
g100num [7]

Answer:

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

Step-by-step explanation:

The formula for the probability of an exponential distribution is:

P(x < b) = 1 - e^(b/3)

Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:

p = P(x > 10)

  = 1 - P(x < 10)

  = 1 - (1 - e^(-10/10) )

  = e⁻¹

  = 0.3679

The z-score is the difference in sample size and the population mean, divided by the standard deviation:

z = (p' - p) / √[p(1 - p) / n]

  = (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]

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Therefore, using the probability table, you find that the corresponding probability is:

P(p' ≥ 0.5) = P(z > 2.7393)

<em>P(p' ≥ 0.5) = 0.0031</em>

<em></em>

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

8 0
3 years ago
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