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Otrada [13]
3 years ago
13

Write out the sample space for the given experiment. Use the following letters to indicate each choice: W for white, Y for yello

w, B for blue, G for gray, E for ebony, and M for maple. While renovating your house, you have a choice of paint colors for your game room: white, yellow, or blue. You also have the following options for the finish on your entertainment center: gray, ebony, or maple.
Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0

Answer:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

Step-by-step explanation:

There are three possible color choices for the game room (White, Yellow or Blue), and three possible choices for the entertainment center (Gray, Ebony or Maple). This means that there are 9 possible outcomes, therefore, the sample space for the experiment is:

S={WG, WE, WM, YG, YE, YM, BG, BE, BM}

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Please help! What’s the mean of 13, 13, 10?
avanturin [10]

Answer:

For mean it's the average. You add all three numbers (13, 13 , 10), then you divide it by three since their are three numbers. Average would be 12.

Hope this helps (:

8 0
3 years ago
Find the missing value of the direct variation (2,5) (5,y)
Karolina [17]

Answer:

The missing value y=12.5 and we have (5,12.5)

Step-by-step explanation:

The formula used for direct variation is:

y\: \alpha \:x\\y=kx

We need to find missing value (2,5)(5,y)

First we will find k, and then y

We have x=2, y=5

Find k:

y=kx\\5=k(2)\\k=\frac{5}{2}\\k=2.5

Now, we cam find missing value in (5,y)

We have x=5, k=2.5 and y=?

y=kx\\y=2.5(5)\\y=12.5

So, the missing value y=12.5 and we have (5,12.5)

7 0
3 years ago
A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time and then switch
zysi [14]

Answer:

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.714 -0}{\frac{1.38}{\sqrt{7}}}=-1.369

df=n-1=7-1=6

p_v =2*P(t_{(6)}

We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs

Step-by-step explanation:

We have the following info given by the problem

Subject  1 2 3 4 5 6 7

Drug A  6 3 4 5 7 1 4

Drug B  5 1 5 5 5 2 2

x=value for drug A , y = value for drug B

x: 6 3 4 5 7 1 4  

y: 5 1 5 5 5 2 2

We want to verify if the mean response differs between the two drugs then  the system of hypothesis for this case are:

Null hypothesis: \mu_y- \mu_x = 0

Alternative hypothesis: \mu_y -\mu_x \neq 0

We can begin calculating the difference d_i=y_i-x_i and we obtain this:

d: -1, -2, 1, 0, -2, 1, -2

Now we can calculate the mean difference  

\bar d= \frac{\sum_{i=1}^n d_i}{n}=-0.714

Now we can find the the standard deviation for the differences, and we got:

s_d =\sqrt{\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}}=1.38

And now we can calculate the statistic given by :

t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{-0.714 -0}{\frac{1.38}{\sqrt{7}}}=-1.369

Now we can find the degrees of freedom given by:

df=n-1=7-1=6

We can calculate the p value, since we have a two tailed test the p value is given by:

p_v =2*P(t_{(6)}

We see that the p value is higher than the ususal significance levels commonly used of 1% or 5% so then we can conclude that we FAIL to reject the null hypothesis, and there is not enough evidence to conclude that we have a different response between the two drugs

7 0
3 years ago
Based on the measures provided in the diagram, determine the measure of AEG
MArishka [77]

Answer:

277°

Step-by-step explanation:

The measure of arc AEG = AB + BE + EF + FG

The central angle is congruent to the arc that subtends it

∠ ECB = 180° - 44° = 136° ( adjacent angles )

∠ECF = ∠ ACB = 44° ( vertical angles ), thus

AEG = 44° + 136° + 44° + 53° = 277°

8 0
3 years ago
How to do compound and simple interest
Cerrena [4.2K]

Answer:

We can compute simple interest by finding the interest rate percentage of the amount borrowed, then multiply by the number of years interest is earned. Another type of interest calculates interest on both the money initialy deposited as well as the interest money earned, and is called compound interest.

Step-by-step explanation:

hope this helps

3 0
3 years ago
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