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malfutka [58]
3 years ago
14

Which of the following is the result of the equation below after completing

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

C

Step-by-step explanation:

{x}^{2}  + 5x + 8 = 4 \\  =  >  {x}^{2}  + 2 \times  \frac{5}{2}  \times x +  \frac{25}{4}  +  \frac{7}{4}  = 4 \\  =  >  ({x +  \frac{5}{2} }^{2} ) +  \frac{7}{4}  = 4 \\  =  > ({x +  \frac{5}{2} }^{2} ) =  \frac{9}{4}

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What is y=5x+3 when the x variable is 1
ikadub [295]
The answer is 8 y=8 very easyyyy
3 0
3 years ago
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Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar
xxTIMURxx [149]

Answer:

1. Mean square B= 5.32

2. Mean square E= 16.067

3. F= 0.33

4. p-value: 0.28

Step-by-step explanation:

Hello!

You have the information of 3 groups of people.

Group 1

n₁= 20

X[bar]₁= 3.2

S₁²= 14.3

Group 2

n₂= 20

X[bar]₂= 4.2

S₂²= 17.2

Group 3

n₃= 20

X[bar]₃= 7.6

S₃²= 16.7

1. To manually calculate the mean square between the groups you have to calculate the sum of square between conditions and divide it by the degrees of freedom.

Df B= k-1 = 3-1= 2

Sum Square B is:

∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= general mean is the mean that results of all the groups together.

General mean:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (3.2+4.2+7.6)/3 = 5

Sum Square B (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (3.2 - 5)² + (4.2 - 5)² + (7.6 - 5)²= 10.64

Mean square B= Sum Square B/Df B= 10.64/2= 5.32

2. The mean square error (MSE) is the estimation of the variance error (σ_{e}^2 → S_{e} ^{2}), you have to use the following formula:

Se²=<u> (n₁-1)S₁² + -(n₂-1)S₂² + (n₃-1)S₃²</u>

                        n₁+n₂+n₃-k

Se²=<u> 19*14.3 + 19*17.2 + 19*16.7 </u>= <u>  915.8   </u>  = 16.067

                 20+20+20-3                  57

DfE= N-k = 60-3= 57

3. To calculate the value of the statistic you have to divide the MSB by MSE

F= \frac{Mean square B}{Mean square E} = \frac{5.32}{16.067} = 0.33

4. P(F_{2; 57} ≤ F) = P(F_{2; 57} ≤ 0.33) = 0.28

I hope you have a SUPER day!

3 0
3 years ago
I need help on this question can anyone please help me
MAVERICK [17]

9514 1404 393

Answer:

  p = -9 5/9

Step-by-step explanation:

Undo what is done to p.

Multiply by 2.

  p +10 = 4/9

Subtract 10.

  p = 4/9 -10

  p = -9 5/9

8 0
2 years ago
A bag contains 2 black balls, 4 yellow balls and 4 white balls. Event A is defined as drawing a white ball on the first draw and
arsen [322]

Answer: P(B|A)=\dfrac{4}{9}

Step-by-step explanation:

Given: A bag contains 2 black balls, 4 yellow balls and 4 white balls.

Event A is defined as drawing a white ball on the first draw.

Event B is defined as drawing a black ball on the second draw.

P(B|A) is expressed as the conditional probability of occurring B given that A.

i.e. it is the probability of happening B where A is already happended.

If a white ball is drawn at first, then the number of black ball(4) remains unchanged but the total number of balls (10) will become 9.

Probability=\dfrac{Number\ of \ favorable \ outcomes}{Total\ outcomes}

Then, P(B|A)=\dfrac{4}{9}

8 0
3 years ago
What is 5a + 2/3= -1/6 with two step equations fractions​
Natalija [7]

Answer:

-1/6

Step-by-step explanation:

5a+2/3=-1/6

5a=-1/6-2/3

5a=-1/6-4/6

5a=-5/6

a=(-5/6)/5

a=(-5/6)(1/5)

a=-5/30

simplify

a=-1/6

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