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3 years ago

How to calculate 99 : 5

Mathematics

1 answer:

Goryan [66]3 years ago

5 0

Answer:

19.8

Step-by-step explanation:

99/5= 19.8

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Find the center and radius of (x + 0.2)2 + (y + 0.1)2 = 0.3<br><br> (with an explanation please)

pshichka [43]

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3 years ago

If p is a polynomial show that lim x→ap(x)=p(a

Lostsunrise [7]

Let p(x) be a polynomial, and suppose that a is any real number. Prove that

lim x→a p(x) = p(a) .

Solution. Notice that

2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .

So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x – 2.

Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| < 1, so −2 < x < 0. In particular |x| < 2. So

|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|

= 2|x|^3 + 5|x|^2 + |x| + 2

< 2(2)^3 + 5(2)^2 + (2) + 2

= 40

Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2 + x − 2| < ε/40 · 40 = ε.

3 0

3 years ago

Evgen [1.6K]

Answer:

Null hypothesis $H_0; \mu=5$

Alternative hypothesis $H_a; \mu\neq 5$

Step-by-step explanation:

Consider the provided information.

The shower by an adult is 5 minutes.

The mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes.

We need to determine the appropriate null and alternative hypotheses.

A null hypothesis is there is no statistical significance between the two variables.

An alternative hypothesis is there is a statistically significant relationship between two variables.

Therefore the required null and alternative hypothesis are:

Null hypothesis $H_0; \mu=5$

Alternative hypothesis $H_a; \mu\neq 5$

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3 years ago

Helppp meeee pleaseeeee

lutik1710 [3]

I hate math its so hard for no reason

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3 years ago

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Dan, Harry and Regan sell cars.

klasskru [66]

Answer:

4X+5

Step-by-step explanation:

Dan : X

Harry: X+5

Regan: 2X

X+X+5+2X

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How to calculate 99 : 5​

How to calculate 99 : 5