We know that,
- Pythagoras theoram is given by : p² + b² = h²
- In a Pythagoras triplet, the longest side represents the hypotenuse of the triangle.
Then,
We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.
Sum of squares of smaller sides:
= 6² + 8²
= 36 + 64
= 100
Square of longer side:
= 10²
= 100
Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.
And we are done! :D
⛱️ 
You can use a diffrent kind of ruler for math then you could find the answer.
Write an equation to show all elements:
Cost of 4 lots of b (beads) + cost of 4p (pendants) = $18.80
Put values in;
9.29 + 4p = 18.80
4p = 18.80 - 9.20
4p = 9.60
p = 2.40 cost of each pendant
Answer:
Now we can find the p value. Since we have a bilateral test the p value would be:
Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
Do Not reject H0
Step-by-step explanation:
Information provided
n=200 represent the sample size slected
X=155 represent the cell phone owners used text messaging
estimated proportion of cell phone owners used text messaging
is the value to verify
represent the significance level
We need to conduct a z test for a proportion
z would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true proportion of cell phone owners used text messaging is different from 0.73 so then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic to check this hypothesis is given by:
(1)
Replacing the data given we got:
Now we can find the p value. Since we have a bilateral test the p value would be:
Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:
Do Not reject H0
