Hi. Please i need help with this question .
2 answers:
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Answer:
Isosceles triangle
Step-by-step explanation:
It is assumed that the triangle is a right angle triangle, implying that Pythagoras theorem becomes applicable.
If the first side is represented by x and the second side by y,
x + y = 5
The hypotenuse is always the longest side hence it can be presumed to be 4 since both x and y cannot be more than 5.
Therefore using pythagoras equation:
hyp^2 = sqrt(opp^2 + adj^2)
this implies that
therefore
16 = sqrt (x^2 + y^2) ----------------- (i)
since x + y = 5, y = 5 - x ------------------- (ii)
substituting (ii) into eqn (i)
16 = sqrt ( x^2 + (5-X)^2)
16 = sqrt( x^2 + 25 -10x + x^2)
16 = sqrt( x^2 + x^2 - 10x + 25)
16 = sqrt( 2x^2 - 10x + 25)
squaring both sides
256 = 2x^2 - 10x + 25
this can be refined as
2x^2 - 10x - 231 = 0
Solving using quadratic equation:
where a = 2, b = -10 and c = -231
x = 13.53 or -8.53.
Since x is a side of a triangle that cannot be negative,
x = 13.53 but x can never be greater than 5 since x + y = 5
This implies that the triangle is not a right angle triangle; it is most likely an isosceles triangle with two sides of equal length such that x = y = 2.5 inches while the longest side; the hypotenuse is 4 inches.
substituting for x in
Answer:
Null hypothesis:
Alternative hypothesis:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
For this case the value of represent the parameter associated to the population (True average of cofee temperature)
Step-by-step explanation:
Data given and notation
represent the mean height for the sample
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean i equal to 70.2, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
For this case the value of represent the parameter associated to the population (True average of cofee temperature)