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Please Simplify these expressions:

weeeeeb [17]

Answer:

1) 2a+4a+10-6= 6a + 4

2) 3x-5x+7-7= -2x

3) - 15b+10 +10b= -5b + 10

4) - 4d+d-8-6+3b= - 3d - 14 +3b

3 0

3 years ago

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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) $P(13.848$ Step-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:

$P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2$ And we can find this probability like this: $P(13.848$ And 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

3 years ago

Find The Value Of X When 6-2x = 6x-10x+6. The Value Is

Natasha_Volkova [10]

Answer:

x = 0

Step-by-step explanation:

6 - 2x = 6x - 10x + 6

1. Isolate the variable (x)

Add 2x to both sides

6 - 2x = 6x - 10x + 6 -> 6 = 6x - 10x + 2x + 6

Subtract 6 from both sides

6x - 10x + 2x + 6 -> 0 = 6x - 10x + 2x

2. Combine like terms

0 = 6x - 10x + 2x -> 0 = -2x

3. Solve

Divide both sides by -2

0 = x

*Note: 0 divided by anything is 0 so 0/-2 is 0

(unless it is 0/0 which equals 1)

6 0

3 years ago

15 points!!!! Find the value of x. 102 54 6x O A. 8 B. 6 O C. 17 D. 9

BaLLatris [955]

Answer:

a

Step-by-step explanation:

8 0

3 years ago

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What is true about the sum of the two polynomials? 6s^2t – 2st^2 4s^2t – 3st^2

Snowcat [4.5K]

The sum is 10s^2t-5st^2. With two separate sections it’s a binomial, and the sum of the powers of the variables is 2+1=3, it has a degree of 3.

7 0

3 years ago