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3 years ago

Simplify 8 to the power of P times 3

Mathematics

1 answer:

elixir [45]3 years ago

5 0

Answer: 24^p

Step-by-step explanation:

8 ^p x 3

To simplify the above, multiply the whole numbers

8 x 3 = 24

24^p

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Multiple Choice question

liubo4ka [24]

My answer has to be B

3 0

3 years ago

Read 2 more answers

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= (n₁-1)S₁² + -(n₂-1)S₂² + (n₃-1)S₃²

n₁+n₂+n₃-k

Se²= 19*14.3 + 19*17.2 + 19*16.7 = 915.8 = 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

A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti

prohojiy [21]

ANSWER

Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

To proof

let us assume that the fluid should be drained and replaced with pure antifreeze be x .

As given

A radiator contains 10 quarts of fluid, 30% of which is antifreeze.

Now write 30% in the decimal form

$= \frac{30}{100}$

Now write 60% in the decimal form

$= \frac{60}{100}$

After drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )

The quantity of antifreeze is

$= \frac{30\times (10 - x)}{100}$

The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

than the equation becomes

$= x + \frac{30\times ( 10 - x )}{100} = \frac{60\times10}{100}$

solyving

100x +300 - 30x = 600

70x = 300

$x = \frac{300}{70}$

x = 4.28 quarts (approx)

Hence 4.28 quarts (approx) fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

Therefore the option (c.) is correct .

3 0

3 years ago

Read 2 more answers

Help for brainlist :)))

SVETLANKA909090 [29]

Answer:

dear option C (2,4,6) is correct for this question

as,

domain = is all set of input values

and

range = is all set of output value

hope this answer helps u dear!

4 0

3 years ago

0÷x=0 pls help it has to be 0 but thats not the answer can't think of anything

sleet_krkn [62]

Answer:

Theres no other answer than 0.

Step-by-step explanation:

I'm sorry!

4 0

3 years ago