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Slav-nsk [51]
3 years ago
15

How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?

Mathematics
1 answer:
Marrrta [24]3 years ago
7 0

Answer:

8

Step-by-step explanation:

x²-6x+1 +8=x²-6x+9=(x-3)²

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Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n
konstantin123 [22]

Answer:

a) P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

b)P(13.848Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by S^2 and we select a random sample of size n from a normal population with a population variance \sigma^2. And we define the following statistic:

T = \frac{(n-1) S^2}{\sigma^2}

And the distribution for this statistic is T \sim \chi^2_{n-1}

For this case we know that n =25 and \sigma^2 = 6 so then our statistic would be given by:

\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

P(S^2 > 9.1)

And we can multiply the inequality by 4 on both sides and we got:

P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

P(3.462 < S^2

If we multiply the inequality by 4 on all the terms we got:

P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2And we can find this probability like this:P(13.848And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

8 0
2 years ago
X-3 divided by 4 = 12
yulyashka [42]

Answer:

x = 51

Step-by-step explanation:

(x-3) /4 = 12

Multiply each side by 4

(x-3) /4 *4 = 12*4

x-3 = 48

Add 3 to each side

x-3+3 = 48+3

x = 51

4 0
3 years ago
Read 2 more answers
Please help Really confusied dont do the last 2 at the bottom
Helen [10]
Number one or 2? so i can help you
6 0
3 years ago
What does a equal? (This assignment is past due so please help me)
LUCKY_DIMON [66]
I think it mean dog in Spanish
4 0
2 years ago
Read 2 more answers
4^2 times 4^8 ?????????
Talja [164]
The answer is 4^10

How to do it:
4^2•4^8 goes into
4^2+8 which 2+8=10
So,
The answer: 4^10
8 0
3 years ago
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