The sides of a square are five to the power of two fifths inches long. What is the area of the square?
1 answer:
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Answer:
A. Hypotenuse-leg (HL) congruence.
HL, when you have 2 right triangles and their hypotenuses are congruent you are able to say HL
Step-by-step explanation:
We know that the hypotenuse-leg theorem states that if the hypotenuse and one leg of a right triangle are congruent to hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.
hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.
BDA and DBC share a common side DB.
Using Pythagorean theorem we will get,
We have been given that CD=AB, Upon using this information we will get,
Upon subtracting from both sides of our equation we will get,
Answer:
Step-by-step explanation:
Hypotheses:
(Left tailed test)
p = sample proportion
n = sample size = 200
Sample proportion = p = 73/200 = 0.365
Std error = 0.03404
p difference = 0.365-0.39 = 0.025
t = 0.025/se = 0.7344
df = 199
p value = 0.2317
Since p >0.05 accept null hypothesis
No,the veterinarian does not have a right to be skeptical because there is no statistical evidence to support his claim.
The empirical rule says that about 68% of any normal distribution lies within one standard deviation of the mean. This leaves 32% of the distribution that lies outside this range, with about 16% to either side.
At the 16th percentile, there is a value of
such that
where
is the standard deviation for the distribution, and 
is the random variable corresponding to the standard normal distribution. This value of 
would correspond roughly to a z-score of 
.
You're told that
lies at the 15th percentile, so that
Roughly, then, it'd be fair to say that
. So you have
which falls between (A) and (B). To narrow down the choice, notice that would have be slightly larger than 340 in order to have 
. This brings closer to the mean, and thus suggests the standard deviation for the distribution is actually smaller than our approximation.
This tells us that (A) is the answer.
At the 16th percentile, there is a value of
where
You're told that
Roughly, then, it'd be fair to say that
which falls between (A) and (B). To narrow down the choice, notice that
This tells us that (A) is the answer.