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goldfiish [28.3K]
2 years ago
14

Simplify each expression, #1: 4(f+2g) - 4g +f. #2: 5g(9m-2) + 3g

Mathematics
1 answer:
Serjik [45]2 years ago
7 0

Answer:

1) 5f

2) 45gm-7g

Step-by-step explanation:

hope this helped!

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Eric plays piano and guitar. He practiced on both instruments for a total of 8 hours this week. He practiced the piano for 3/4 o
Ivan
If you would like to know how many hours did Eric practice the piano this week, you can calculate this using the following steps:

the piano: 3/4 of 8 hours = 3/4 * 8 hours = 6 hours

The correct result would be 6 hours.
7 0
2 years ago
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
What the slope of 3,4 7,-4
Trava [24]

Answer: The slope is  -2

5 0
3 years ago
I NEED HELP WITH THIS. PLEASE HELP. I'M GETTING GRADED ON IT TODAY.
choli [55]

Answer:

Point P = (-9,11)

Step-by-step explanation:

Point M: (1,3)               X and Y have the 2 on the bottom right of them

Midpoint N: (-5,7)

Point P: (X*2, Y*2)

( 1 + X*2          3  + Y*2 )

( _______     ________ )     =     (-5 , 7)

(      2         ,          2          )

( 1 + X*2 )

( _____ )     = -5  

(      2     )

Then multiply the left equation above by 2, and that cancels out the 2 being

divided on the bottom. Also, multiply the -5 by 2 and you get -10

1 + X*2 = -10

+1             +1

__________

X*2 =       -9    

X = -9

( 3 + Y*2 )

( ______ )       =  7

(      2       )

Then multiply the left  equation above by 2, and that cancels out the 2 being divided on the bottom. Also, multiply the 7 by 2 and you get 14

3 + Y*2 = 14

-3             -3

_________

Y*2 =       11

Y = 11

Hope this helps, good luck! :)

3 0
3 years ago
Read 2 more answers
Please help me again!!!!!!!!
Kazeer [188]

Answer:

Huan receives 3.33 pounds (£) every week

Step-by-step explanation:

We can calculate this by dividing the amount for 5 weeks and dividing by 5 to find the amount of pocket money for each week. 16.65/5 = 3.33, which means that he receives 3.33 pounds (£) every week for pocket money.

8 0
3 years ago
Read 2 more answers
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