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densk [106]
2 years ago
15

Use finite differences to identify the degree of the polynomial that best describes the data. 9 10 11 12 13 14

Mathematics
1 answer:
worty [1.4K]2 years ago
4 0

The forward differences for this data is 1, 1, 1, 1, 1, 1 (since 10 - 9 = 1, 11 - 10 = 1, etc). Since we only need one iteration of differences, a linear polynomial will fit the data exactly.

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6x + 2y = 2 and 3x + y =1 solve by elimination
inna [77]

Answer:

Point form : (x,1-3x)

Equation form : x=x , y=1-3x

Step-by-step explanation: Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Hope this helps you out! If you need anymore help with math, let me know and I will be more than happy to help you! ☺

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Simplify.<br> 7x + 3(x - 2) - 4x + 8
alisha [4.7K]

Answer:

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Step-by-step explanation:

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Chicken Delight claims that 87% of its orders are delivered within 10 minutes of the time the order is placed. A sample of 80 or
jeka57 [31]

Answer:

There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.

Decision rule: Reject the null hypothesis if (P-value < level of significance)

Test statistic z=-2.70

Decision: Reject the null hypothesis (0.003<0.010)

Step-by-step explanation:

In this question we have to test an hypothesis.

The null and alternative hypothesis are:

H_0: \pi\geq0.87\\\\H_a:\pi

The significance level is assumed to be 0.01.

The sample of size n=80 gives a proportion of p=61/80=0.7625.

The standard deviation is:

\sigma=\sqrt{\frac{\pi(1-\pi)}{N} }=\sqrt{\frac{0.87*0.13}{80} }=0.0376

The statistic z is then

z=\frac{p-\pi+0.5/N}{\sigma}=\frac{0.7625-0.87+0.5/80}{0.0376} } =\frac{-10125}{0.0376} =-2.70

The P-value is

P(z

The P-value (0.003) is smaller than the significance level (0.010), so the effect is significant. The null hypothesis is rejected.

There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.

Decision rule: Reject the null hypothesis if (P-value < level of significance)

Test statistic z=-2.70

Decision: Reject the null hypothesis (0.003<0.010)

6 0
3 years ago
What is equivalent to the square root of -27
lions [1.4K]
For the square root of a negative number, you would have to get into imaginary numbers. If you haven't learned about it yet, then the answer would be no real solutions. But if you have, here's how to solve it:

First, identify that 9 x 3 = 27. To after taking the square root, you will get 3√3 (Since the square root of 9 is 3 and there's no square root of 3, so leave it in the √)

However, since it is a negative number, you will have to include the letter i in the answer. i represents the imaginary part of it since you can't have a negative number in the square root.

So your answer will look like 3i√3.
3 0
3 years ago
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Evgen [1.6K]

Answer:

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Step-by-step explanation:

Jin, who is delivering her speech to a small group sitting around a table

Lindsey, who is delivering her speech in a large auditorium

Luke, who is delivering his speech in a typical classroom

Jordan, who is delivering his speech in a small meeting room

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3 years ago
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