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GuDViN [60]
3 years ago
10

How is the Remainder Theorem related to the process of synthetic division?

Mathematics
1 answer:
vladimir2022 [97]3 years ago
4 0

Answer:

The Remainder Theorem states that f(c) = the remainder. So if the remainder comes out to be 0 when you apply synthetic division, then x - c is a factor of f(x). by x - 2. Use the result to find all zeros of f

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To estimate the mean score μ μ of those who took the Medical College Admission Test on your campus, you will obtain the scores o
Juliette [100K]

Answer: 0.4667

Step-by-step explanation:

According to 68–95–99.7 rule , About  99.7% of all data values lies with in 3 standard deviations from population mean (\mu).

Here , margin of error = 3s , where s is standard deviation.

As per given , we have want our sample mean \overline{x} to estimate μ μ with an error of no more than 1.4 point in either direction.

If 99.7% of all samples give an \overline{x} within 1.4 , it means that

3s=1.4

Divide boths ides by 3 , we get

s=0.466666666667\approx0.4667

Hence, So \overline{x} must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an \overline{x} within 1.4 point of μ .

6 0
4 years ago
Find a power series representation for the following function.
PSYCHO15rus [73]

a. Recall that

For , we have

By integrating both sides, we get

If , then

so that

We can shift the index to simplify the sum slightly.

b. The power series for  can be obtained simply by multiplying both sides of the series above by .

c. We have

5 0
3 years ago
What is the smallest 3-digit number of the form aaa such that it is divisible by 9? (Here, a represents a digit.)
polet [3.4K]

Answer:

If all three digits need to be the same (I assume that's what aaa means) it's 333

Step-by-step explanation:

For a number XYZ to be divisible by 9, X+Y+Z must be divisible by 9. Here's why:

X*100 + Y * 10 + Z = X + Y + Z + 99*X + 9*Y = X + Y + Z + 9(11X + Y)

So we need to find the smallest a so that a+a+a = 3a is divisible by 9. The smallest would be 0, but 000 is not a real 3-digit number. The next one is 3.

7 0
3 years ago
HELPPP
lidiya [134]

Answer:

The area of the rectangle is 4 sq yards.

Step-by-step explanation:

Given that,

The length of the rectangle, L=\dfrac{2}{13}\ yards

The breadth of the rectangle, B = 26 yards

We need to find the area of the rectangle. The formula for the area of a rectangle is given by :

A = LB

Put all the values,

A=\dfrac{2}{13}\times 26\\\\A=2\times 2\\\\A=4\ yd^2

So, the area of the rectangle is 4 sq yards.

6 0
3 years ago
I need help asap plz
Lostsunrise [7]

Answer:

A

Step-by-step explanation:

The constant of proportionality is the ratio between the two proportional variables in a directly proportional relationship. In this case, the variables are x and y.

To find the constant of proportionality, all we have to do is divide any value of y by its corresponding value of x. Let's take the values in the first row of the table. We know that x=2 and y=12, so the constant of proportionality is \frac{y}{x}=\frac{12}{2} =6. Hope this helps!

7 0
3 years ago
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