Answer:
step 3: place the tip of the compass at point x and strike the arc at point y
Step-by-step explanation:
congruent triangles are triangles that have equal shape and size. They are the same in every way. this is the reason why they are called CONGRUENT
we have been asked to construct an angle MNT congruent to angle PQR. this means we are to construct angle that is the same as that at PQR.
with a ruler and a compass we can easily make a replica of the angle at PQR.
following the steps given in the question including step 3 that i have just added, the angle MNT will be the same as the angle PQR
Step-by-step explanation:
The probability of success = 8/(8 + 17) = 8/25 = 0.32.
Let X be the random variable denoting the number of successes (number of times the individual won a prize) in four picks.
Hence, X ~ Bin(4, 0.32).
Thus, P(X = 1) = 
Answer:
a) (0.5256,0.5944)
c) Criticism is invalid
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 560
Proportion of mislabeled = 56%

a) 90% Confidence interval:


Putting the values, we get:

b) Interpretation of confidence interval:
We are 90% confident that the true proportion of all seafood in the country that is mislabeled or misidentified is between 0.5256 and 0.5944 that is 52.56% and 59.44%.
c) Validity of criticism
Conditions for validity:

Verification:

Both the conditions are satisfied. This, the criticism is invalid.
Yes
I’m assuming 16 is the amount he earned and (-16) is the amount he spent
16 + (-16) = 16-16 = 0
Juan spent the same amount of money as he earned that day and broke even
He needs at least 2 gallons of the stain; though he will not use all of the second gallon